math m coursework 2021

An Overview To Ace Maths T/Maths M For Your STPM

31 March 2022

7 minutes to read

• 01. Why Is It Relevant To Take STPM Maths (T/M) For Your Form Six Studies?
• 02. What Is The Latest Syllabus For STPM Maths (T)?
• 03. What Topics Will You Cover For STPM Maths (M)?
• 04. How To Be Fully Equipped For Your STPM Maths T/M Paper?

Do you know that there is a Pi Day celebration in the world of Mathematics?

It is observed on the 14th of March every year because it is the first three significant figures of pi (π).

If you have paid attention during your Maths lessons, you probably will know the significance of significant figures when you are writing down your answers for your Maths examinations.

This same principle applies even when you have decided to take Maths as a STPM subject for your Form 6 studies.

In this article, we will be reviewing the STPM Maths subjects in terms of their significance, examination format, syllabus as well as practical ways to excel in them.

Why Is It Relevant To Take STPM Maths (T/M) For Your Form Six Studies?

First of all, let's talk about the differences between the two Maths subjects that are offered in STPM.

STPM Mathematics (T) stands for Technology and is taken by Science stream students (compulsory).

STPM Mathematics (M) stands for Management and is taken by Art stream students (optional).

Basically, these two Maths subjects seek to fulfil the objective to enable students to acquire problem-solving skills and equip students with a foundational understanding of mathematical thinking and concepts before they proceed to related programmes for their tertiary level education.

Here are 3 main reasons why you should include Maths as one of your subjects in STPM.

1. You enjoy and excel in Mathematics 

In other words, Mathematics fascinates you and you find that it's easier to focus during the lessons by recognizing patterns, applying formulas and equations. That goes to say, you probably did well for your SPM Maths and Additional Maths subjects too. Hence, it is quite natural for you to continue to study Maths because you get to dive deeper and wider into this subject .

Mathematics is the most beautiful and most powerful creation of the human spirit. -Stefan Banach

2. You will have a strong foundation of Pre-University Maths 

Trust us when we say that the newly revised Mathematics (T) and Mathematics (M) syllabus is comprehensive. You will see in the later paragraphs that you get to study 6 chapters each semester and you will be tested in terms of central assessments (written tests) and school-based assignments for coursework assessments.

In total, you will study 18 chapters covering various topics . You will also be graded in terms of grade point average (GPA) every semester, which is similar to other Pre-University programmes.

3. You would want to have further study in a Mathematics-related field for your degree 

As a Form 6 student, you would have noticed that most schools have already listed a combination of subjects according to Art/ Science streams to accommodate what students intend to study for their degree.

You may refer to the below table to look at the combination of subjects that are offered and match them with your desired career choice/programme that you want to study later.

Don't forget to e xplore various useful tips to score for your STPM Maths paper .

What Is The Latest Syllabus For STPM Maths (T)?

If you have decided to take Science stream for your Form 6 studies, you naturally have to take STPM Maths (T) as one of the subjects. There are 6 chapters each semester, with each semester focusing on a different theme.

What sets the syllabus of STPM Maths (T) and STPM Maths (M) apart is the inclusion of Geometry topics in the first semester and also several different topics of Calculus and Statistics as shown below.

We have highlighted some of the common topics of both Maths (T) and Maths (M) in the lists below for your reference. In some ways, the topics do overlap but if you look closer, you will see that some of them are different.

Let's look at what you'll learn in STPM Maths (T).

First Term: Algebra and Geometry [954/1 Paper 1]

• Chapter 1 Functions
• Chapter 2 Sequences and Series
• Chapter 3 Matrices
• Chapter 4 Complex Numbers
• Chapter 5 Analytic Geometry
• Chapter 6 Vectors

Second Term: Calculus [954/2 Paper 2]

• Chapter 7 Limits and Continuity
• Chapter 8 Differentiation
• Chapter 9 Integration
• Chapter 10 Differential Equations
• Chapter 11 Maclaurin Series
• Chapter 12 Numerical Methods

Third Term: Statistics [954/3 Paper 3]

• Chapter 13 Data Description
• Chapter 14 Probability
• Chapter 15 Probability Distributions
• Chapter 16 Sampling and Estimation
• Chapter 17 Hypothesis Testing
• Chapter 18 Chi-squared Tests

Improve your understanding and question-answering techniques on these topics through the practice of past year papers collection of STPM Maths .

What Topics Will You Cover For STPM Maths (M)?

We now move on the syllabus of STPM Maths (M). Out of 18 chapters, this subject share 9 chapters with STPM Maths (T).  However as mentioned earlier, this subject is for Art stream students who would probably take on Business /Finance related programmes in the future.

Just as the name implies, it is Maths for Management. Hence, you will notice that there is a whole different theme for the final semester which focuses on financial and decision mathematics.

First Term: Algebra and Calculus [950/1 Paper 1]

• Chapter 4 Differentiation
• Chapter 5 Integration
• Chapter 6 Differential Equations

Second Term: Statistics [950/2 Paper 2]

• Chapter 7 Data Description
• Chapter 8 Probability
• Chapter 9 Probability Distributions
• Chapter 10 Correlation and Regression
• Chapter 11 Index Numbers
• Chapter 12 Time Series

Third Term: Financial and Decision Mathematics [950/3 Paper 3]

• Chapter 13 Interest, Annuity and Depreciation
• Chapter 14 Cost, Revenue and Profit
• Chapter 15 Linear Programming
• Chapter 16 Critical Path Analysis
• Chapter 17 Inventory Models
• Chapter 18 Game Theory

One important note to remember is that the coursework assessments will be conducted during each semester and the topics will be taken from what you will learn from the 6 chapters for both STPM Maths (T) and Maths (M) respectively .

Learn the perfect way to master the marking scheme of your STPM Maths paper .

How To Be Fully Equipped For Your STPM Maths T/M Paper?

You have now decided which STPM Maths to take according to your subject combinations and desired career pathway. Now let's look at the steps below on you can be ready to score well for your paper.

1. Understand the latest examination format

Since 2012, the Malaysian Examinations Council (MEC) has introduced a new modular system where all Form 6 subjects will be taught over three terms. This means you have to sit for three central examination at the end of each term followed by coursework in between.

The duration for each written test is 1 hour and 30 minutes and the mark allocation is 60%.

You can read further on the complete and latest exam format for STPM (T) and (M) Maths here, which includes the details for the coursework assessment.

2. Revise with physical and non-physical Maths learning resources

Textbooks for three semesters? Checked. Reference books for sample questions? Checked. Past year papers collection and trial papers from other states? Checked. Youtube tutorial videos? Checked. STPM students blogs/social media groups? Checked. 

Remember that your revision journey does not have to be a linear process. Be open to various Maths learning materials and get the best out of every learning method.

When you don't feel like looking at textbooks and notes, you can opt to revise through tutorial videos on past year questions.

When you feel like putting what you have learnt in class into test, you can dive into some past year questions.

Feeling demotivated and a little tired? Read what former STPM students had to say about their experience.

3. Invest in a private Maths tutor

Do you find that it is slightly challenging to focus in school and prefer to learn in a more flexible manner?

Don't worry, we got you covered!

You just need extra guidance from a reliable and experienced private Maths tutor!

Bear in mind that having a private Maths tutor is different from a regular Maths tuition teacher.

A private Maths tutor can help you to:

1. Plan and personalised your learning and revision strategies  2. Explore different ways of looking at the questions 3. Provide you with extra exercises  4. Immediately give you direct feedback and guidance  5. Give you one-to-one attention 

Sounds great right? Your next question would be who/which platform should you start looking?

We've got the answer! Introducing Superprof !

Superprof is a student-friendly and student-centric platform that enables students to find the perfect tutor!

You can learn Maths anywhere and anytime you want. You can find amazing Maths tutors from:

• Seberang Perai
• Kuala Lumpur
• Subang Jaya
• Johor Bahru
• Kota Kinabalu
• and many more

Of course, you can also choose from amazing online Maths tutors. There are currently 324790 online tutors who offer Maths lessons at Superprof. Our Maths tutors are equipped to facilitate online lessons effectively via various digital tools and online teaching platforms such as Zoom, Google Meet and Skype.

Currently, the average price of Maths lessons (in general) is RM44 per hour. However, do bear in mind that the price of your lessons can vary due to a few factors such as the tutors' teaching experience, the frequency and duration of your lessons and the location of your lessons. You don't have to worry as you can select a tutor based on your maximum budget through the filtering system.

What's better is this. 97% of tutors at Superprof offer their first lesson for free!

Start exploring various Maths tutors' profiles at the Superprof website to connect with one today.

We guarantee you that you will benefit significantly from your Maths lessons and achieve a significantly good result for your STPM Maths paper!

Enjoyed this article? Leave a rating!

An avid reader and writer, Joycelyn loves the art of communication and is passionate about all kinds of media.

Cancel reply

Your comment

Current ye@r *

Leave this field empty

You might also be interested in these articles

Mathematics T syllabus & exam format 2024

Exploring The Structure For STPM Maths T 2024 Do you know what's one of the most effective ways to solve a big problem? By breaking it into smaller problems. As Form 6 students, you might be taken aback when you're told that there are a total of 18 chapters to cover for your STPM Maths […]

29 November 2023 ∙ 7 minutes to read

A Guide to the Latest STPM Maths Syllabus

Understanding the Latest STPM Mathematics syllabus The Sijil Tinngi Persekolahan Malaysia (STPM), or Malaysian Higher School Certificate, is a pre-university program available to students in Malaysia who have completed SPM. It is one of several options for students to consider before pursuing a university degree. The Malaysian Examination Council administers the program, which implemented a […]

1 June 2023 ∙ 6 minutes to read

Understanding the SPM Mathematics 2023 Syllabus

SPM Mathematics - Getting to Know the Syllabus KSSM Mathematics is a core subject taken by all students who follow the National Education System in Malaysia. Every student in Malaysia has the opportunity to go through at least six years of basic education in primary school and five years in secondary school. The syllabus in […]

31 March 2023 ∙ 6 minutes to read

How to Tackle Add Mathematics 2022

The Complete Guide to Add Maths 2022 If you're like a lot of students sitting for SPM, additional mathematics can feel like a mountain that's hard to climb. Learning is one thing, but we can all agree that doing well in the subject is no easy task. One of the most common perceptions among Malaysian […]

23 August 2022 ∙ 7 minutes to read

Everything to Know About Studying Maths Degree in Malaysia

All About Mathematics Degree in Malaysia Have you met our World International Mathematics Olympiad champions?  Malaysia has made many a great achievement on the international platform when it comes to mathematics, but nothing has topped the pride of our country more this year than the recent wins of pupils Tan Ze Ern and Gan Lih […]

27 May 2022 ∙ 6 minutes to read

How to Tackle A-level Maths 2022

What You Should Know To Master A-Level Maths You have heard about it. About how hard it is to master it. In case you're wondering, we're talking about A-Level Maths.  While there are many stories of how A-Level Maths is more challenging as compared to your SPM Maths exam, it is not impossible to score […]

31 March 2022 ∙ 7 minutes to read

Maths Tuition With A Maths Tutor

A Guide to Maths Lessons with a Math Tutor Maths is one of the most highly-requested subjects on Superprof every year. From Primary Standard 1 Maths to lower secondary Maths, up till upper secondary Maths such as SPM or STPM, IGCSE and even A-Level Maths revision, lessons in mathematics are, without a doubt, a best […]

5 October 2021 ∙ 13 minutes to read

Maths Tutor Jobs: An In-depth Review

Exploring the teaching of Mathematics as a career Have you come across people who are afraid of Mathematics or confessed to you that they hate Mathematics? Mathematics is certainly not perceived as an easy subject to be mastered by many people. Thankfully, there are many passionate and dedicated individuals who are not only good at […]

26 September 2021 ∙ 7 minutes to read

Studying Mathematics After You Leave School

A Guide to Studying Math in Malaysia after Graduating from School  When you entered school, parents and teachers made the decisions for you. You were told where you had to sit in class, what clothing attire you had to wear (which was, unfortunately, uniforms for the lot of us) and when you were allowed to […]

10 July 2021 ∙ 7 minutes to read

University Catalogs

• General Information
• Undergraduate
• Search Courses

Print Options

M - mathematics, mathematics: m, lower-division courses, m 301 (tccn: math 1314). college algebra..

Subjects include a brief review of elementary algebra; linear, quadratic, exponential, and logarithmic functions; polynomials; systems of linear equations; applications. Three lecture hours a week for one semester. Usually offered only in the summer session. May not be counted toward a degree in mathematics. Credit for Mathematics 301 may not be earned after a student has received credit for any calculus course with a grade of C- or better. Prerequisite: A passing score on the mathematics section of the Texas Higher Education Assessment (THEA) test (or an appropriate assessment test).

M 302 (TCCN: MATH 1332). Introduction to Mathematics.

Intended primarily for general liberal arts students seeking knowledge of the nature of mathematics as well as training in mathematical thinking and problem solving. Topics include number theory and probability; additional topics are chosen by the instructor. Three lecture hours a week for one semester. Mathematics 302 and 303F may not both be counted. A student may not earn credit for Mathematics 302 after having received credit for any calculus course. May not be counted toward a degree in the College of Natural Sciences. Prerequisite: Texas Success Initiative (TSI) exemption or a TSI Mathematics Assessment score of 350 or higher.

M 303D (TCCN: MATH 1324). Applicable Mathematics.

An entry-level course for the nontechnical student, dealing with some of the techniques that allow mathematics to be applied to a variety of problems. Topics include linear and quadratic equations, systems of linear equations, matrices, probability, statistics, exponential and logarithmic functions, and mathematics of finance. Three lecture hours a week for one semester. Mathematics 303D and 303F may not both be counted. A student may not earn credit for Mathematics 303D after having received credit for Mathematics 305G or any calculus course. May not be counted toward a degree in the College of Natural Sciences. Prerequisite: An appropriate score on the mathematics placement exam.

M 303F. Mathematics of Investment.

Simple and compound interest, equivalent rates, equivalent values, annuities, amortization, sinking funds, bonds, depreciation. Three lecture hours a week for one semester. Mathematics 302 and 303F may not both be counted; Mathematics 303D and 303F may not both be counted. May not be counted toward the major requirement for the Bachelor of Arts, Plan I, degree with a major in mathematics or toward the Bachelor of Science in Mathematics degree. Prerequisite: Three units of high school mathematics at the level of Algebra I or higher.

M 403K. Calculus I for Business and Economics.

Differential and integral calculus of algebraic, logarithmic, and exponential functions with applications. Three lecture hours and two discussion sessions a week for one semester. Only one of the following may be counted: Mathematics 403K , 408C , 408K , 408N , 408Q , 408R . May not be counted toward a degree in the College of Natural Sciences. Prerequisite: An appropriate score on the mathematics placement exam.

M 403L. Calculus II for Business and Economics.

Differential and integral calculus of functions of several variables with applications, infinite series, improper integrals; introductions to probability, differential equations, matrices, systems of linear equations, and linear programming. Three lecture hours and two discussion sessions a week for one semester. Mathematics 403L and 408L (or 308L ) may not both be counted. May not be counted toward the major requirement for the Bachelor of Arts, Plan I, degree with a major in mathematics or toward the Bachelor of Science in Mathematics degree. Prerequisite: Mathematics 403K , 408C , 308L , or 408N with a grade of at least C-.

M 305E. Analytic Geometry.

Combines development of methods (including adequate treatment of theory) and acquisition of skills with applications. Three lecture hours a week for one semester. Mathematics 305E and 305K may not both be counted. Mathematics 305E and 305G may not both be counted toward the major requirement for the Bachelor of Arts, Plan I, degree with a major in Mathematics or towards the Bachelor of Science in Mathematics degree. Prerequisite: Mathematics 301 .

M 305G (TCCN: MATH 2312). Preparation for Calculus.

Study of advanced functions and their graphs and applications, including exponential, logarithmic, and trigonometric functions. Introduction to rates, slopes, and derivatives. Three lecture hours a week for one semester. Mathematics 305G and any college-level trigonometry course may not both be counted. A student may not earn credit for Mathematics 305G after having received credit for any calculus course with a grade of at least C-. Mathematics 301 , 305G , and equivalent courses may not be counted toward a degree in mathematics. Prerequisite: An appropriate score on the mathematics placement exam.

M 408C. Differential and Integral Calculus.

Introduction to the theory and applications of differential and integral calculus of functions of one variable; topics include limits, continuity, differentiation, the mean value theorem and its applications, integration, the fundamental theorem of calculus, and transcendental functions. Three lecture hours and two discussion hours a week for one semester. Only one of the following may be counted: Mathematics 403K , 408C , 408K , 408N , 408Q , 408R . Prerequisite: An appropriate score on the mathematics placement exam or Mathematics 305G with a grade of at least B-.

M 408D. Sequences, Series, and Multivariable Calculus.

Certain sections of this course are designated as advanced placement or honors sections; they are restricted to students who have scored well on the Advanced Placement Calculus BC exam or have the consent of the mathematics adviser. This is the second semester of the accelerated calculus sequence. The theory and applications of sequences and infinite series, including those involving functions of one variable, and an introduction to the theory and applications of differential and integral calculus of functions of several variables; subjects include methods of integration, parametric equations, sequences, infinite series, power series, functions of several variables, partial derivatives, and multiple integrals. Three lecture hours and two discussion hours a week for one semester. Only one of the following may be counted: Mathematics 403L , 408D , 408M (or 308M ). Prerequisite: Mathematics 408C , 408L , or 408S with a grade of at least C-.

M 408K (TCCN: MATH 2413). Differential Calculus.

Introduction to the theory and applications of differential calculus of functions of one variable; topics include limits, continuity, differentiation, and the mean value theorem and its applications. Three lecture hours and two discussion hours a week for one semester. Only one of the following may be counted: Mathematics 403K , 408C , 408K , 408N , 408Q , 408R . Prerequisite: An appropriate score on the mathematics placement exam or Mathematics 305G with a grade of at least B-.

M 308L, 408L (TCCN: MATH 2414). Integral Calculus.

Introduction to the theory and applications of integral calculus of functions of one variable; topics include integration, the fundamental theorem of calculus, transcendental functions, sequences, and infinite series. For Mathematics 308L , three lecture hours a week for one semester; for 408L , three lecture hours and two discussion hours a week for one semester. Only one of the following may be counted: Mathematics 403L , 408L (or 308L ), 408S . Prerequisite: Mathematics 408C , 408K , or 408N with a grade of at least C-, or Mathematics 408R or 408Q with a grade of at least B.

M 308M, 408M (TCCN: MATH 2415). Multivariable Calculus.

Introduction to the theory and applications of differential and integral calculus of functions of several variables. Includes parametric equations, polar coordinates, vectors, vector calculus, functions of several variables, partial derivatives, gradients, and multiple integrals. For Mathematics 308M , three lecture hours a week for one semester; for 408M , three lecture hours and two discussion hours a week for one semester. Only one of the following may be counted: Mathematics 403L , 408D , 408M (or 308M ). Prerequisite: Mathematics 408L or 408S with a grade of at least C-.

M 408N (TCCN: MATH 2413). Differential Calculus for Science.

Restricted to students in the College of Natural Sciences. Introduction to the theory of differential calculus of functions of one variable, and its application to the natural sciences. Subjects may include limits and differentiation, with applications to rates of change, extremes, graphing, and exponential growth and decay. Three lecture hours and two discussion hours a week for one semester. Only one of the following may be counted: Mathematics 403K , 408C , 408K , 408N , 408Q , 408R . Prerequisite: An appropriate score on the mathematics placement exam or Mathematics 305G with a grade of at least B-.

M 408Q. Differential and Integral Calculus for Business.

Focus on the key concepts of calculus. These include: using successive approximations to solve problems that cannot be solved directly (Euler's Method), tracking the rate at which quantities are changing (derivatives) using rates of change to find optimal solutions to real-world problems (max/min), computing bulk quantities by adding up the pieces (integration), and understanding functions of several variables by studying one variable at a time. Designed for business students. Three lecture hours and two discussion hours a week for one semester. Only one of the following may be counted: Mathematics 403K , 408C , 408K , 408N , 408Q , 408R . Prerequisite: An appropriate score on the mathematics placement exam or Mathematics 305G with a grade of at least B-.

M 408R. Differential and Integral Calculus for the Sciences.

A calculus course for students in the life sciences. Emphasizes representations and analysis of data. Subjects include functions, rates, and derivatives and their applications to problems in biology; differential equations; Riemann integrals; the Euler method; and fundamental theorems of calculus. Three lecture hours and two discussion hours a week for one semester. Only one of the following may be counted: Mathematics 403K , 408C , 408K , 408N , 408Q , 408R . Prerequisite: An appropriate score on the mathematics placement exam or Mathematics 305G with a grade of at least B-.

M 408S (TCCN: MATH 2414). Integral Calculus for Science.

Restricted to students in the College of Natural Sciences. Introduction to the theory of integral calculus of functions of one variable, and its applications to the natural sciences. Subjects may include integration and its application to area and volume, and transcendental functions, sequences, and series and their application to numerical methods. Three lecture hours and two discussion hours a week for one semester. Only one of the following may be counted: Mathematics 403L , 408L (or 308L ), 408S . Prerequisite: Mathematics 408C , 408K , or 408N with a grade of at least C-, or Mathematics 408R or 408Q with a grade of at least B.

M 110C, 210C, 310C, 410C. Conference Course.

Supervised study in mathematics, with hours to be arranged. May be repeated for credit. Prerequisite: Written consent of instructor; forms are available in the department office or in the Mathematics, Physics, and Astronomy Advising Center.

M 210E. Emerging Scholars Seminar.

Restricted to students in the Emerging Scholars Program. Supplemental problem-solving laboratory for precalculus, calculus, or advanced calculus courses for students in the Emerging Scholars Program. Three or four laboratory hours a week for one semester. May be repeated for credit. Offered on the pass/fail basis only.

M 310P. Modern Mathematics: Plan II.

Restricted to Plan II students. Significant developments in modern mathematics. Topics may include fractals, the fourth dimension, statistics and society, and techniques for thinking about quantitative problems. Three lecture hours a week for one semester. May not be counted toward a degree in mathematics.

M 110T, 210T, 310T, 410T. Topics in Mathematics.

One, two, three, or four lecture hours a week for one semester. May be repeated for credit when the topics vary.

M 315C. Foundations, Functions, and Regression Models.

In-depth study of topics from secondary school mathematics. Emphasizes the development of the concept of function, exploring function patterns in data sets, and the connections between the main topics of mathematics associated with a secondary school curriculum. Use of appropriate technology is explored. Three lecture hours a week for one semester. Prerequisite: Credit or registration for Mathematics 408C and enrollment in a teaching preparation program, or consent of instructor.

M 316K (TCCN: MATH 1350). Foundations of Arithmetic.

Restricted to students in a teacher preparation program. An analysis, from an advanced perspective, of the concepts and algorithms of arithmetic, including sets; numbers; numeration systems; definitions, properties, and algorithms of arithmetic operations; and percents, ratios, and proportions. Problem solving is stressed. Three lecture hours a week for one semester. May not be counted toward the major requirement for the Bachelor of Arts, Plan I, degree with a major in mathematics or toward the Bachelor of Science in Mathematics degree. Credit for Mathematics 316K may not be earned after the student has received credit for any calculus course with a grade of C- or better, unless the student is registered in the College of Education. Prerequisite: One of the following with a grade of at least C-: Mathematics 301 , 302 , 303D , 305G , 316 , Educational Psychology 371 , Statistics and Data Sciences 302 , 304 , or 306 .

M 316L (TCCN: MATH 1351). Foundations of Geometry, Statistics, and Probability.

Restricted to students in a teacher preparation program. An analysis, from an advanced perspective, of the basic concepts and methods of geometry, statistics, and probability, including representation and analysis of data; discrete probability, random events, and conditional probability; measurement; and geometry as approached through similarity and congruence, through coordinates, and through transformations. Problem solving is stressed. Three lecture hours a week for one semester. May not be counted toward the major requirement for the Bachelor of Arts, Plan I, degree with a major in mathematics or toward the Bachelor of Science in Mathematics degree. Credit for Mathematics 316L may not be earned after the student has received credit for any calculus course with a grade of C- or better, unless the student is registered in the College of Education. Prerequisite: Mathematics 316K with a grade of at least C.

M 119S, 219S, 319S, 419S, 519S, 619S, 719S, 819S, 919S. Topics in Mathematics.

This course is used to record credit the student earns while enrolled at another institution in a program administered by the University's Study Abroad Office. Credit is recorded as assigned by the study abroad adviser in the Department of Mathematics. University credit is awarded for work in an exchange program; it may be counted as coursework taken in residence. Transfer credit is awarded for work in an affiliated studies program. May be repeated for credit when the topics vary.

M 680. .

Upper-division courses, m 325k. discrete mathematics..

Provides a transition from the problem-solving approach of Mathematics 408C and 408D to the rigorous approach of advanced courses. Subjects include logic, set theory, relations and functions, combinatorics, and graph theory and graph algorithms. Three lecture hours a week for one semester.

M 326K. Foundations of Number Systems.

Restricted to students in a teacher preparation program or who have consent of instructor. Study of number-related topics in middle-grade and secondary school mathematics. Topics include place value; meanings of arithmetic operations; analysis of computation methods; historical development of number concepts and notation; and rational, irrational, algebraic, transcendental, and complex numbers. Emphasis is on communicating mathematics, developing pedagogical understanding of concepts and notation, and using both informal reasoning and proof. Three lecture hours a week for one semester. Prerequisite: Mathematics 408D , 408L , or 408S with a grade of at least C-.

M 427J. Differential Equations with Linear Algebra.

Ordinary differential equations, introduction to vector spaces, linear operators and eigenvalues, systems of linear differential equations, introduction to partial differential equations and Fourier series. Five lecture hours a week for one semester. Mathematics 427J and 427K may not both be counted. Prerequisite: Mathematics 408D , 408L , or 408S with a grade of at least C-.

M 427K (TCCN: MATH 2420). Advanced Calculus for Applications I.

Ordinary and partial differential equations and Fourier series. Five lecture hours a week for one semester. Mathematics 427J and 427K may not both be counted. Prerequisite: Mathematics 408D , 408L , or 408S with a grade of at least C-.

M 427L. Advanced Calculus for Applications II.

Matrices, elements of vector analysis and calculus of functions of several variables, including gradient, divergence, and curl of a vector field, multiple integrals and chain rules, length and area, line and surface integrals, Green's theorems in the plane and space, and, if time permits, complex analysis. Five class hours a week for one semester. Prerequisite: Mathematics 408D , 408L , or 408S with a grade of at least C-.

M 328K. Introduction to Number Theory.

Provides a transition from the problem-solving approach of Mathematics 408C and 408D to the rigorous approach of advanced courses. Properties of the integers, divisibility, linear and quadratic forms, prime numbers, congruences and residues, quadratic reciprocity, number theoretic functions. Three lecture hours a week for one semester. Prerequisite: Mathematics 325K , 333L , or 341 with a grade of at least C-.

M 329F. Theory of Interest.

Same as Actuarial Foundations 329 . Measurement of interest, present and accumulated value, amortization, sinking funds, bonds, duration, and immunization. Covers the interest-theory portion of an exam of the Society of Actuaries and the Casualty Actuarial Society. Three lecture hours a week for one semester. Only one of the following may be counted: Actuarial Foundations 329 , Mathematics 329F , 389F . Prerequisite: Mathematics 408D , 308L , 408L , 408M , or 408S with a grade of at least C-.

M 129S, 229S, 329S, 429S, 529S, 629S, 729S, 829S, 929S. Topics in Mathematics.

M 329w. cooperative mathematics..

This course covers the work period of mathematics students in the Cooperative Education program, which provides supervised work experience by arrangement with the employer and the supervising instructor. Forty laboratory hours a week for one semester. The student must repeat the course each work period and must take it twice to receive credit toward the degree; at least one of these registrations must be during a long-session semester. No more than three semester hours may be counted toward the major requirement; no more than six semester hours may be counted toward the degree. The student's first registration must be on the pass/fail basis. Prerequisite: Application through the College of Natural Sciences Career Design Center; Mathematics 408D , 408L , or 408S with a grade of at least C-; a grade of at least C- in two of the following courses: Mathematics 325K , 427J or 427K , 341 , 362K , or 378K ; and consent of the undergraduate adviser.

M 333L. Structure of Modern Geometry.

Axiom systems, transformational geometry, introduction to non-Euclidean geometries, and other topics in geometry; use of these ideas in teaching geometry. Three lecture hours a week for one semester.

M 339C. Actuarial Case Studies.

Introduces aspects of basic ratemaking, reserving, catastrophe modeling, and rate classification in a property & casualty actuarial context. Explores loss & premium trending, loss triangles, loss development, loss ratios, on-level premium, and accident year vs. calendar year vs. policy year data. Three lecture hours a week for one semester. Prerequisite: Actuarial Foundations 329 or Mathematics 329F with a grade of at least C-; and M339J or M339U with a grade of at least C-.

M 339D. Introduction to Financial Mathematics for Actuaries.

Covers the financial derivative subjects on the Society of Actuary FM/2 exam: general derivatives, options, hedging, investment strategies, forwards, futures, and swaps. Covers option pricing techniques in the MFE/3F exam: binomial option pricing, Monte Carlo Valuation using risk neutral probabilities, and Black-Scholes. Three lecture hours a week for one semester. Prerequisite: Actuarial Foundations 329 or Mathematics 329F ; and Mathematics 362K with a grade of at least C-.

M 339G. Predictive Analytics.

Designed for students in mathematics and actuarial science. Explore an introduction to predictive modeling that starts with least squares as a foundation and takes a modern approach applicable to classification and prediction in the presence of large datasets. Three lecture hours a week for one semester. Mathematics 339G and 375T (Topic: Predictive Analytics) may not both be counted. Prerequisite: The following with a grade of at least C-: Mathematics 341 or 340L ; and Mathematics 378K .

M 339J. Probability Models with Actuarial Applications.

Introductory actuarial models for life insurance, property insurance, and annuities. With Mathematics 349P , covers the syllabus for the professional actuarial exam on model construction. Three lecture hours a week for one semester. Prerequisite: Mathematics 358K or 378K with a grade of at least C-.

M 139S. Seminar on Actuarial Practice.

Presentations by working actuaries on current issues in actuarial practice. One lecture hour a week for one semester. Offered on the pass/fail basis only. Prerequisite: Actuarial Foundations 329 or Mathematics 329F ; Mathematics 339J or 339U with a grade of at least C-; and credit with a grade of at least C- or registration for one of the following: Mathematics 339J , 339U , 339V , 349P .

M 339U. Actuarial Contingent Payments I.

Intermediate actuarial models for life insurance, property insurance, and annuities. Three lecture hours a week for one semester. Prerequisite: Mathematics 362K with a grade of at least C-; credit with a grade of at least C- or registration for Actuarial Foundations 329 or Mathematics 329F ; and credit with a grade of at least C- or registration for Mathematics 340L or 341 .

M 339V. Actuarial Contingent Payments II.

Advanced actuarial models for life insurance, property insurance, and annuities. Three lecture hours a week for one semester. Prerequisite: Actuarial Foundations 329 or Mathematics 329F , and Mathematics 339U with a grade of at least C- in each.

M 340L. Matrices and Matrix Calculations.

Restricted to non-mathematics majors. Techniques of matrix calculations and applications of linear algebra. Three lecture hours a week for one semester. Only one of the following may count: Mathematics 340L , 341 , Statistics and Data Sciences 329C . Prerequisite: Mathematics 408C , 408K , or 408N with a grade of at least C-.

M 341. Linear Algebra and Matrix Theory.

Restricted to mathematics majors. Vector spaces, linear transformations, matrices, linear equations, determinants. Some emphasis on rigor and proofs. Three lecture hours a week for one semester. Only one of the following may count: Mathematics 340L , 341 , Statistics and Data Sciences 329C . Prerequisite: Mathematics 408D , 408L , or 408S with a grade of at least C-.

M 343K. Introduction to Algebraic Structures.

Elementary properties of groups and rings, including symmetric groups, properties of the integers, polynomial rings, elementary field theory. Three lecture hours a week for one semester. Students who have received a grade of C- or better in Mathematics 373K may not take Mathematics 343K . Prerequisite: Mathematics 325K , 333L , or Philosophy 313K , and Mathematics 328K or 341 with a grade of at least C- in each; or consent of the undergraduate advisor.

M 343L. Applied Number Theory.

Basic properties of integers, including properties of prime numbers, congruences, and primitive roots. Introduction to finite fields and their vector spaces with applications to encryption systems and coding theory. Three lecture hours a week for one semester. Prerequisite: Mathematics 328K or 343K with a grade of at least C-.

M 343M. Error-Correcting Codes.

Introduction to applications of algebra and number theory to error-correcting codes, including finite fields, error-correcting codes, vector spaces over finite fields, Hamming norm, coding, and decoding. Three lecture hours a week for one semester. Prerequisite: Mathematics 328K or 341 with a grade of at least C-.

M 344K. Intermediate Symbolic Logic.

Same as Philosophy 344K . A second-semester course in symbolic logic: formal syntax and semantics, basic metatheory (soundness, completeness, compactness, and Loewenheim-Skolem theorems), and further topics in logic. Three lecture hours a week for one semester. Prerequisite: Philosophy 313 , 313K , or 313Q .

M 346. Applied Linear Algebra.

Emphasis on diagonalization of linear operators and applications to dynamical systems and ordinary differential equations. Other subjects include inner products and orthogonality, normal mode expansions, vibrating strings and the wave equation, and Fourier series. Three lecture hours a week for one semester. Prerequisite: Mathematics 341 or 340L with a grade of at least C-.

M 348. Scientific Computation in Numerical Analysis.

Introduction to mathematical properties of numerical methods and their applications in computational science and engineering. Introduction to object-oriented programming in an advanced language. Study and use of numerical methods for solutions of linear systems of equations; nonlinear least-squares data fitting; numerical integration; and solutions of multidimensional nonlinear equations and systems of initial value ordinary differential equations. Three lecture hours a week for one semester. Prerequisite: Computer Science 303E and Mathematics 341 or 340L with a grade of at least C-.

M 349P. Actuarial Statistical Estimates.

Statistical estimation procedures for random variables and related quantities in actuarial models. With Mathematics 339J , covers the syllabus for the professional actuarial exam on model construction. Three lecture hours a week for one semester. Prerequisite: Mathematics 339J , and 341 or 340L , with a grade of at least C- in each.

M 349R. Applied Regression and Time Series.

Introduction to simple and multiple linear regression and to elementary time-series models, including auto-regressive and moving-average models. Emphasizes fitting models to data, evaluating models, and interpreting results. Three lecture hours a week for one semester. Prerequisite: Mathematics 358K or 378K with a grade of at least C-.

M 349T. Time Series and Survival-Model Estimation.

Introduction to the probabilistic and statistical properties of time series; parameter estimation and hypothesis testing for survival models. Covers 30 percent of the syllabus for exam #4 of the Society of Actuaries and the Casualty Actuarial Society. Three lecture hours a week for one semester. Prerequisite: Mathematics 339U , 341 or 340L , and 358K or 378K .

M 358K. Applied Statistics.

Exploratory data analysis, correlation and regression, data collection, sampling distributions, confidence intervals, and hypothesis testing. Three lecture hours a week for one semester. Prerequisite: Mathematics 362K with a grade of at least C-.

M 360M. Mathematics as Problem Solving.

Discussion of heuristics, strategies, and methods of evaluating problem solving, and extensive practice in both group and individual problem solving. Communicating mathematics, reasoning, and connections among topics in mathematics are emphasized. Three lecture hours a week for one semester. Prerequisite: Mathematics 408D , 408L , or 408S with a grade of at least C-; and written consent of instructor.

M 361. Theory of Functions of a Complex Variable.

Elementary theory and applications of analytic functions, series, contour integration, and conformal mappings. Three lecture hours a week for one semester. Prerequisite: Mathematics 427J , 427K , or 427L with a grade of at least C-.

M 361K. Introduction to Real Analysis.

A rigorous treatment of the real number system, of real sequences, and of limits, continuity, derivatives, and integrals of real-valued functions of one real variable. Three lecture hours a week for one semester. Students who have received a grade of C- or better in Mathematics 365C may not take Mathematics 361K . Prerequisite: Mathematics 325K , 333L , or Philosophy 313K , and Mathematics 328K or 341 with a grade of at least C- in each; or consent of the undergraduate advisor.

M 362K. Probability I.

An introduction to the mathematical theory of probability, fundamental to further work in probability and statistics, includes basic probability properties, conditional probability and independence, various discrete and continuous random variables, expectation and variance, central limit theorem, and joint probability distributions. Three lecture hours a week for one semester. Prerequisite: Mathematics 408D , 408L , or 408S with a grade of at least C-.

M 362M. Introduction to Stochastic Processes.

Introduction to Markov chains, birth and death processes, and other topics. Three lecture hours a week for one semester. Prerequisite: Mathematics 362K with a grade of at least B and Mathematics 340L or 341 with a grade of at least C-.

M 364K. Vector and Tensor Analysis I.

Invariance, vector algebra and calculus, integral theorems, general coordinates, introductory differential geometry and tensor analysis, applications. Three lecture hours a week for one semester. Prerequisite: Mathematics 427J , 427K , or 427L with a grade of at least C-.

M 364L. Vector and Tensor Analysis II.

Continuation of Mathematics 364K , with emphasis on tensor and extensor analysis. Riemannian geometry and invariance. Three lecture hours a week for one semester. Prerequisite: Mathematics 364K with a grade of at least C-.

M 365C. Real Analysis I.

A rigorous treatment of the real number system, Euclidean spaces, metric spaces, continuity of functions in metric spaces, differentiation and Riemann integration of real-valued functions of one real variable, and uniform convergence of sequences and series of functions. Three lecture hours a week for one semester. Students who have received a grade of C- or better in Mathematics 365C may not take Mathematics 361K . Mathematics 325K , 333L , or Philosophy 313K , and Mathematics 328K or 341 with a grade of at least C- in each; or consent of the undergraduate advisor. Students who receive a grade of C- in one of the prerequisite courses are advised to take Mathematics 361K before attempting 365C . Students planning to take Mathematics 365C and 373K concurrently should consult a mathematics advisor.

M 365D. Real Analysis II.

Recommended for students planning to undertake graduate work in mathematics. A rigorous treatment of selected topics in real analysis, such as Lebesgue integration, or multivariate integration and differential forms. Three lecture hours a week for one semester. Prerequisite: Mathematics 365C with a grade of at least C-.

M 365G. Curves and Surfaces.

Calculus applied to curves and surfaces in three dimensions: curvature and torsion of space curves, Gauss map and curvature of surfaces, Gauss theorem, geodesics, and the Gauss-Bonnet theorem. Three lecture hours a week for one semester. Prerequisite: Credit with a grade of at least C- or registration for Mathematics 365C .

M 367K. Topology I.

An introduction to topology, including sets, functions, cardinal numbers, and the topology of metric spaces. Three lecture hours a week for one semester. Prerequisite: Mathematics 361K or 365C or consent of instructor.

M 367L. Topology II.

Various topics in topology, primarily of a geometric nature. Three lecture hours a week for one semester. Prerequisite: Mathematics 367K with a grade of at least C- or consent of instructor.

M 368K. Numerical Methods for Applications.

Continuation of Mathematics 348 . Topics include splines, orthogonal polynomials and smoothing of data, iterative solution of systems of linear equations, approximation of eigenvalues, two-point-boundary value problems, numerical approximation of partial differential equations, signal processing, optimization, and Monte Carlo methods. Three lecture hours a week for one semester. Only one of the following may be counted: Computer Science 367 , Mathematics 368K , Physics 329 . Prerequisite: Mathematics 348 with a grade of at least C-.

M 371E. Learning Assistant Experience in Mathematics.

Students assist instructors and TAs in mathematics courses. This is a hands-on experience in what it is like to teach and support students in the learning of mathematics in undergraduate courses. Students must attend classroom training and discussions and work in Calculus discussion sections or undergraduate classrooms where mathematics is being taught. One class hour and three hours of fieldwork in an undergraduate mathematics course a week for one semester. Prerequisite: Mathematics 408C , 408K , 408N , 408R , or equivalent, and consent of instructor.

M 372. Fourier Series and Boundary Value Problems.

Discussion of differential equations of mathematical physics and representation of solutions by Green's functions and eigenfunction expansions. Three lecture hours a week for one semester. Prerequisite: Mathematics 427J or 427K with a grade of at least C-.

M 372K. Partial Differential Equations and Applications.

Partial differential equations as basic models of flows, diffusion, dispersion, and vibrations. Topics include first- and second-order partial differential equations and classification (particularly the wave, diffusion, and potential equations), and their origins in applications and properties of solutions. Includes the study of characteristics, maximum principles, Green's functions, eigenvalue problems, and Fourier expansion methods. Three lecture hours a week for one semester. Prerequisite: Mathematics 427J or 427K with a grade of at least C-.

M 373K. Algebraic Structures I.

A study of groups, rings, and fields, including structure theory of finite groups, isomorphism theorems, polynomial rings, and principal ideal domains. Three lecture hours a week for one semester. Students who have received a grade of C- or better in Mathematics 373K may not take Mathematics 343K . Mathematics 325K , 333L , or Philosophy 313K , and Mathematics 328K or 341 with a grade of at least C- in each; or consent of the undergraduate advisor. Students who receive a grade of C- in one of the prerequisite courses are advised to take Mathematics 343K before attempting 373K . Students planning to take Mathematics 365C and 373K concurrently should consult a mathematics advisor.

M 373L. Algebraic Structures II.

Recommended for students planning to undertake graduate work in mathematics. Topics from vector spaces and modules, including direct sum decompositions, dual spaces, canonical forms, and multilinear algebra. Three lecture hours a week for one semester. Prerequisite: Mathematics 373K with a grade of at least C-.

M 374. Fourier and Laplace Transforms.

Operational properties and application of Laplace transforms; some properties of Fourier transforms. Three lecture hours a week for one semester. Prerequisite: Mathematics 427J or 427K with a grade of at least C-.

M 374G. Linear Regression Analysis.

Fitting of linear models to data by the method of least squares, choosing best subsets of predictors, and related materials. Three lecture hours a week for one semester. Prerequisite: Mathematics 358K or 378K with grade of at least C-, Mathematics 341 or 340L , and consent of instructor.

M 374K. Fourier and Laplace Transforms.

Continuation of Mathematics 374 . Introduction to other integral transforms, such as Hankel, Laguerre, Mellin, Z. Three lecture hours a week for one semester. Prerequisite: Mathematics 374 with a grade of at least C-.

M 374M. Mathematical Modeling in Science and Engineering.

Tools for studying differential equations and optimization problems that arise in the engineering and physical sciences. Includes dimensional analysis and scaling, regular and singular perturbation methods, optimization and calculus of variations, and stability. Three lecture hours a week for one semester. Prerequisite: Mathematics 427J or 427K , and Mathematics 340L , 341 , or 311 with a grade of at least C- in each.

M 175, 275, 375, 475. Conference Course.

Supervised study in mathematics, with hours to be arranged. May be repeated for credit. Prerequisite: Upper-division standing.

M 375C. Conference Course (Computer-Assisted).

Supervised study in mathematics on material requiring use of computing resources, with hours to be arranged. Conference course. May be repeated for credit when the topics vary. Prerequisite: Varies with the topic.

M 375D. Discovery: An Introduction to Advanced Study in Mathematics.

Capstone course designed primarily for UTeach pre-service mathematics majors considering discovery teaching methodology and/or graduate work in mathematics or mathematics education. Ties together foundational topics in the primary strands of mathematics present in a typical graduate mathematics program; included are selected topics from analysis, algebra, number theory, and topology. Three lecture hours a week for one semester. Mathematics 375D and 375T (Topic: Discovery: An Introduction to Advanced Study in Mathematics) may not both be counted. Prerequisite: Two proof-based mathematics courses with a grade of at least C-, or consent of instructor.

M 175S. Seminar in Instruction of Mathematics.

An exploration of subjects in mathematics instruction as taught at the secondary educational level. Practice learning and teaching through use of proofs, explorations, and connections. Subjects include foundational mathematics concepts, numbers, constructibility, and development of key mathematics topics. One lecture hour a week for one semester. Mathematics 175S and 175T may not both be counted. Offered on the letter-grade basis only. Prerequisite: Upper-division standing and consent of instructor.

M 175T, 275T, 375T, 475T. Topics in Mathematics.

One, two, three, or four lecture hours a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Upper-division standing; additional prerequisites vary with the topic.

M 376C. Methods of Applied Mathematics.

Variational methods and related concepts from classical and modern applied mathematics. Models of conduction and vibration that lead to systems of linear equations and ordinary differential equations, eigenvalue problems, initial and boundary value problems for partial differential equations. Topics may include a selection from diagonalization of matrices, eigenfunctions and minimization, asymptotics of eigenvalues, separation of variables, generalized solutions, and approximation methods. Three lecture hours a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Mathematics 427J or 427K , and 340L or 341 , with a grade of at least C- in each.

M 378K. Introduction to Mathematical Statistics.

Same as Statistics and Data Sciences 378 . Sampling distributions of statistics, estimation of parameters (confidence intervals, method of moments, maximum likelihood, comparison of estimators using mean square error and efficiency, sufficient statistics), hypothesis tests (p-values, power, likelihood ratio tests), and other topics. Three lecture hours a week for one semester. Mathematics 378K and Statistics and Data Sciences 378 may not both be counted. Prerequisite: Mathematics 362K with a grade of at least C-.

M 378N. Generalized Linear Models.

Extensions to ordinary least-squares regression, including Poisson regression, the lasso, mixed models, and ridge regression. Three lecture hours a week for one semester. Mathematics 375T (Topic: Generalized Linear Models) and 378N may not both be counted. Prerequisite: Mathematics 378K with a grade of at least C- or consent of instructor.

M 378P. Decision Analytics.

Examine decision theory with utility functions, including the use of probability, optimization, constrained optimization, and linear algebra. Three lecture hours a week for one semester. Only one of the following may be counted: Mathematics 375T (Topic: Decision Analytics), 378P , Statistics and Data Sciences 378P . Prerequisite: Mathematics 362K and Mathematics 378K with a grade of at least C-, or consent of the instructor.

M 379H. Honors Tutorial Course.

Directed reading, research, and/or projects, under the supervision of a faculty member, leading to an honors thesis. Conference course. Prerequisite: Admission to the Mathematics Honors Program; Mathematics 365C , 367K , 373K , or 374G with a grade of at least A-, and another of these courses with a grade of at least B-; and consent of the honors adviser.

Graduate Courses

M 380c. algebra..

A survey of algebraic structures, including groups, fields, rings, and modules. Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor or the graduate adviser.

M 380D. Algebra.

Continuation of Mathematics 380C . Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor or the graduate adviser, and Mathematics 380C .

M 381C. Real Analysis.

Same as Computational Science, Engineering, and Mathematics 385R . Measure and integration over abstract spaces; Lebesgue's theory of integration and differentiation on the real line. Three lecture hours a week for one semester. Computational Science, Engineering, and Mathematics 385R and Mathematics 381C may not both be counted. Prerequisite: Graduate standing and consent of instructor or the graduate adviser.

M 381D. Complex Analysis.

Same as Computational Science, Engineering, and Mathematics 385S . Introduction to complex analysis. Three lecture hours a week for one semester. Computational Science, Engineering, and Mathematics 385S and Mathematics 381D may not both be counted. Prerequisite: Graduate standing and consent of instructor or the graduate adviser.

M 381E. Functional Analysis.

Introduction to functional analysis. Three lecture hours a week for one semester. Prerequisite: Graduate standing; Computational Science, Engineering, and Mathematics 385R or Mathematics 381C ; and consent of instructor or the graduate adviser.

M 382C. Algebraic Topology.

Surfaces, covering spaces, fundamental group, and homology. Three lecture hours a week for one semester. Prerequisite: Graduate standing, an undergraduate course in topology, and consent of instructor or the graduate adviser.

M 382D. Differential Topology.

Continuation of Mathematics 382C . Manifolds and maps, differential forms, transversality, and intersection theory. Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor or the graduate adviser, and Mathematics 382C .

M 382E. Advanced Algebraic Topology.

Continuation of Mathematics 382C . Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor or the graduate adviser.

M 382F. Algebraic Topology.

Continuation of Mathematics 382E . Three lecture hours a week for one semester. Prerequisite: Graduate standing, consent of instructor or the graduate adviser, and Mathematics 382E .

M 382G. Differential Geometry.

Continuation of Mathematics 382D . Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor or the graduate adviser.

M 383C. Methods of Applied Mathematics.

Same as Computational Science, Engineering, and Mathematics 386C . Topics include basic normed linear space theory; fixed-point theorems and applications to differential and integral equations; Hilbert spaces and the spectral theorem; applications to Sturm-Liouville problems; approximation and computational methods such as the Galerkin, Rayleigh-Ritz, and Newton procedures. Three lecture hours a week for one semester. Computational Science, Engineering, and Mathematics 386C and Mathematics 383C may not both be counted. Prerequisite: Graduate standing.

M 383D. Methods of Applied Mathematics.

Same as Computational Science, Engineering, and Mathematics 386D . Topics include distributions, fundamental solutions of partial differential equations, the Schwartz space and tempered distributions, Fourier transform, Plancherel theorem, Green's functions, Sobolev spaces, weak solutions, differential calculus in normed spaces, implicit function theorems, applications to nonlinear equations, smooth variational problems, applications to classical mechanics, constrained variational problems. Three lecture hours a week for one semester. Computational Science, Engineering, and Mathematics 386D and Mathematics 383D may not both be counted. Prerequisite: Graduate standing; and Computational Science, Engineering, and Mathematics 386C or Mathematics 383C .

M 383E. Numerical Analysis: Linear Algebra.

Same as Computational Science, Engineering, and Mathematics 383C , Computer Science 383C , and Statistics and Data Sciences 393C . Survey of numerical methods in linear algebra: floating-point computation, solution of linear equations, least squares problems, algebraic eigenvalue problems. Three lecture hours a week for one semester. Only one of the following may be counted: Computational Science, Engineering, and Mathematics 383C , Computer Science 383C , Mathematics 383E , Statistics and Data Sciences 393C . Prerequisite: Graduate standing; Computer Science 367 or Mathematics 368K ; and Mathematics 340L , 341 , or consent of instructor.

M 383F. Numerical Analysis: Interpolation, Approximation, Quadrature, and Differential Equations.

Same as Computational Science, Engineering, and Mathematics 383D , Computer Science 383D , and Statistics and Data Sciences 393D . Survey of numerical methods for interpolation, functional approximation, integration, and solution of differential equations. Three lecture hours a week for one semester. Only one of the following may be counted: Computational Science, Engineering, and Mathematics 383D , Computer Science 383D , Mathematics 383F , Statistics and Data Sciences 393D . Prerequisite: Graduate standing; Computational Science, Engineering, and Mathematics 383C , Computer Science 383C , Mathematics 383E , or Statistics and Data Sciences 393C ; and Mathematics 427K and 365C , or consent of instructor.

M 384C. Mathematical Statistics I.

Same as Computational Science, Engineering, and Mathematics 384R and Statistics and Data Sciences 384 (Topic 2). The general theory of mathematical statistics. Includes distributions of functions of random variables, properties of a random sample, principles of data reduction, an overview of hierarchical models, decision theory, Bayesian statistics, and theoretical results relevant to point estimation, interval estimation, and hypothesis testing. Three lecture hours a week for one semester. Only one of the following may be counted: Computational Science, Engineering, and Mathematics 384R , Mathematics 384C , Statistics and Data Sciences 384 (Topic 2). Prerequisite: Graduate standing; and Mathematics 362K and 378K , or consent of instructor.

M 384D. Mathematical Statistics II.

Same as Computational Science, Engineering, and Mathematics 384S and Statistics and Data Sciences 384 (Topic 3). Continuation of Computational Science, Engineering, and Mathematics 384R and Mathematics 384C . Three lecture hours a week for one semester. Only one of the following may be counted: Computational Science, Engineering, and Mathematics 384S , Mathematics 384D , Statistics and Data Sciences 384 (Topic 3). Prerequisite: Graduate standing; Computational Science, Engineering, and Mathematics 384R , or Mathematics 384C ; and Mathematics 362K and 378K , Statistics and Data Sciences 382 , or consent of instructor.

M 384E. Design and Analysis of Experiments.

Same as Computational Science, Engineering, and Mathematics 384U and Statistics and Data Sciences 384 (Topic 6). Design and analysis of experiments, including one-way and two-way layouts; components of variance; factorial experiments; balanced incomplete block designs; crossed and nested classifications; fixed, random, and mixed models; and split plot designs. Three lecture hours a week for one semester. Only one of the following may be counted: Computational Science, Engineering, and Mathematics 384U , Mathematics 384E , Statistics and Data Sciences 384 (Topic 6). Prerequisite: Graduate standing; and Mathematics 362K and 378K , Statistics and Data Sciences 382 , or consent of instructor.

M 384F. Design of Experiments.

Design of experiments, including 2n and 3n factorial experiments, confounding, fractional factorials, sequential experimentation, orthogonal arrays, D-optimal experiments, and response surface methodology. Three lecture hours a week for one semester. Prerequisite: Graduate standing, and Mathematics 378K or the equivalent or consent of instructor.

M 384G. Regression Analysis.

Same as Computational Science, Engineering, and Mathematics 384T and Statistics and Data Sciences 384 (Topic 4). Simple and multiple linear regression, inference in regression, prediction of new observations, diagnosis and remedial measures, transformations, and model building. Emphasis on both understanding the theory and applying theory to analyze data. Three lecture hours a week for one semester. Only one of the following may be counted: Computational Science, Engineering, and Mathematics 384T , Mathematics 384G , Statistics and Data Sciences 384 (Topic 4). Prerequisite: Graduate standing; and Mathematics 362K and 378K , Statistics and Data Sciences 382 , or consent of instructor.

M 384H. Multivariate Statistical Analysis.

Introduction to the general multivariate linear model; a selection of techniques, such as principle component, factor, and discriminant analysis. Three lecture hours a week for one semester. Prerequisite: Graduate standing and consent of instructor.

M 385C. Theory of Probability.

Same as Computational Science, Engineering, and Mathematics 384K . Three lecture hours a week for one semester. Computational Science, Engineering, and Mathematics 384K and Mathematics 385C may not both be counted. Prerequisite: Graduate standing and consent of instructor.

M 385D. Theory of Probability.

Same as Computational Science, Engineering, and Mathematics 384L . Continuation of Computational Science, Engineering, and Mathematics 384K and Mathematics 385C . Three lecture hours a week for one semester. Only one of the following may be counted: Computational Science, Engineering, and Mathematics 384L , Mathematics 384L , 385D . Prerequisite: Graduate standing; Computational Science, Engineering, and Mathematics 384K or Mathematics 385C ; and consent of instructor.

M 387C. Numerical Analysis: Algebra and Approximation.

Same as Computational Science, Engineering, and Mathematics 383K . Advanced introduction to scientific computing, theory and application of numerical linear algebra, solution of nonlinear equations, and numerical approximation of functions. Three lecture hours a week for one semester. Computational Science, Engineering, and Mathematics 383K and Mathematics 387C may not both be counted. Prerequisite: Graduate standing, and consent of instructor or the graduate adviser.

M 387D. Numerical Analysis: Differential Equations.

Same as Computational Science, Engineering, and Mathematics 383L . Advanced introduction to the theory and practice of commonly used numerical algorithms for the solution of ordinary differential equations, and elliptic, parabolic, and hyperbolic partial differential equations. Three lecture hours a week for one semester. Prerequisite: Graduate standing; and Computer Science 383C , Mathematics 387C , or consent of instructor.

M 389C. Actuarial Case Studies.

Explores aspects of basic ratemaking, reserving, catastrophe modeling, and rate classification in a property & casualty actuarial context. Covers loss & premium trending, loss triangles, loss development, loss ratios, on-level premium, accident year vs. calendar year vs. policy year data. Three lecture hours a week for one semester. Prerequisite: Graduate standing and either 389J or 389U with a grade of at least C.

M 389D. Introduction to Financial Mathematics for Actuaries.

Covers the financial derivative topics on the Society of Actuary FM/2 exam: general derivatives, options, hedging, investment strategies, forwards, futures, and swaps. Covers option pricing techniques in the MFE/3F exam: binomial option pricing, Monte Carlo Valuation using risk neutral probabilities, and Black-Scholes. Three lecture hours a week for one semester. Prerequisite: Mathematics 389F .

M 389F. Theory of Interest.

Measurement of interest, present and accumulated value, amortization, sinking funds, bonds, duration, and immunization. Covers the interest theory portion of an exam of the Society of Actuaries and the Casualty Actuarial Society. Three lecture hours a week for one semester. Only one of the following may be counted: Actuarial Foundations 329 , Mathematics 329F , 389F . Prerequisite: Graduate standing and Mathematics 408D or 408L .

M 389G. Predictive Analytics.

Designed for students in mathematics and actuarial science. Explore an introduction to predictive modeling that starts with least squares as a foundation and takes a modern approach applicable to classification and prediction in the presence of large datasets. Three lecture hours a week for one semester. Prerequisite: Graduate standing; an understanding of linear algebra and mathematical statistics.

M 389J. Probability Models with Actuarial Applications.

Introductory actuarial models for life insurance, property insurance, and annuities. With Mathematics 389P , covers the syllabus for the professional actuarial exam on model construction. Three lecture hours a week for one semester. Prerequisite: Graduate standing, and Mathematics 358K or 378K with a grade of at least C.

M 389P. Actuarial Statistical Estimates.

Statistical estimation procedures for random variables and related quantities in actuarial models. With Mathematics 389J , covers the syllabus for the professional actuarial exam on model construction. Three lecture hours a week for one semester. Prerequisite: Graduate standing; and Mathematics 341 or 340L , and 389J with a grade of at least C in each.

M 189S. Seminar on Actuarial Practice.

Presentations by working actuaries on current issues in actuarial practice. One lecture hour a week for one semester. Offered on the credit/no credit basis only. Prerequisite: Graduate standing; and Actuarial Foundations 329 or Mathematics 329F or Mathematics 389F , and M389J or 389U with a grade of at least C in each.

M 389T. Time Series and Survival-Model Estimation.

Introduction to the probabilistic and statistical properties of time series; parameter estimation and hypothesis testing for survival models. Covers 30 percent of the syllabus for exam #4 of the Society of Actuaries and the Casualty Actuarial Society. Three lecture hours a week for one semester. Prerequisite: Graduate standing, Mathematics 341 or 340L , 358K or 378K , and 389U .

M 389U. Actuarial Contingent Payments I.

Intermediate actuarial models for life insurance, property insurance, and annuities. Three lecture hours a week for one semester. Prerequisite: Graduate standing; Mathematics 362K with a grade of at least C; credit with a grade of at least C or registration for Mathematics 340L (or 341 ); and credit with a grade of at least C or registration for Actuarial Foundations 329 or Mathematics 329F or 389F .

M 389V. Actuarial Contingent Payments II.

Advanced actuarial models for life insurance, property insurance, and annuities. Three lecture hours a week for one semester. Prerequisite: Graduate standing, and Mathematics 389F and 389U with a grade of at least C in each.

M 389W. Financial Mathematics for Actuarial Applications.

Subjects include pricing, stock price, and interest rate models for actuarial applications. Tools include lognormal distribution, Brownian motion, Black-Scholes, and delta hedging. Three lecture hours a week for one semester. Prerequisite: Mathematics 389D with a grade of at least C-.

M 390C. Topics in Algebra.

Recent topics have included algebraic geometry, number theory, algebraic curves, algebraic number theory, algebraic functions, rational curves on varieties, homological algebra. Three lecture hours a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

M 391C. Topics in Analysis.

Recent topics have included measure and integration, real variables, complex analysis, functional analysis, ordinary differential equations, partial differential equations, integral transforms, operator theory, approximation theory, abstract harmonic analysis. Three lecture hours a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

M 392C. Topics in Topology.

Recent topics have included algebraic topology, differential topology, geometric topology, Lie groups. Three lecture hours a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

M 393C. Topics in Applied Mathematics.

Recent topics have included quantum mechanics, statistical physics, ergodic theory, group representations, statistical mechanics, quantum field theory, introductory partial differential equations, monotone operators and partial differential equations, Hilbert space methods for partial differential equations, Hamiltonian dynamics, nonlinear functional analysis, Euler and Navier-Stokes equations, microlocal calculus and spectral asymptotics, calculus of variations. Three lecture hours a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

M 393N. Numerical Solution of Elliptic Partial Differential Equations.

Same as Computer Science 393N . The numerical solution of large systems of linear algebraic equations arising in the solution of elliptic partial differential equations by discretization methods. Three lecture hours a week for one semester. Computational Science, Engineering and Mathematics 393N and Mathematics 393N may not both be counted. Prerequisite: Graduate standing; and Computational Science, Engineering, and Mathematics 383K , Computer Science 386K , Mathematics 387C , or consent of instructor.

M 394C. Topics in Probability and Statistics.

Same as Computational and Applied Mathematics 394C . Recent topics have included nonparametric statistics, advanced probability. Three lecture hours a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

M 395C. Topics in Logic and Foundations.

Recent topics have included set theory, model theory, proof theory, axiomatic theorem proving, automatic theorem proving, foundations of mathematics, recursion theory. Three lecture hours a week for one semester. May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

M 396C, 696C, 996C. Topics in Mathematics.

Recent topics have included set theory, history of mathematics. For each semester hour of credit earned, the equivalent of one lecture hour a week for one semester May be repeated for credit when the topics vary. Prerequisite: Graduate standing and consent of instructor.

M 396D, 696D, 996D. Conference Course.

Supervised study in mathematics. Conference course. For each semester hour of credit earned, one lecture hour a week for one semester. May be repeated for credit. Offered on the credit/no credit basis only. Prerequisite: Graduate standing and consent of instructor.

M 397C. Topics in Numerical Analysis.

Recent developments and advanced topics in the field of numerical analysis. Three lecture hours a week for one semester. Mathematics 393D and 397C may not both be counted unless the topics vary. May be repeated for credit when the topics vary. Prerequisite: Graduate standing.

M 197S, 397S. Seminar in Mathematics.

One or three lecture hours a week for one semester. May be repeated for credit when the topics vary. Offered on the credit/no credit basis only. Prerequisite: Graduate standing and consent of instructor.

M 698. Thesis.

The equivalent of three lecture hours a week for two semesters. Offered on the credit/no credit basis only. Prerequisite: For 698A , graduate standing in mathematics and consent of the graduate adviser; for 698B , Mathematics 698A .

M 398R. Master's Report.

Preparation of a report to fulfill the requirement for the master's degree under the report option. The equivalent of three lecture hours a week for one semester. Offered on the credit/no credit basis only. Prerequisite: Graduate standing in mathematics and consent of the supervising professor and the graduate adviser.

M 398T. Supervised Teaching in Mathematics.

Three lecture hours a week for one semester. Offered on the letter-grade basis only. Prerequisite: Graduate standing and appointment as a teaching assistant.

M 399W, 699W, 999W. Dissertation.

May be repeated for credit. Offered on the credit/no credit basis only. Prerequisite: Admission to candidacy for the doctoral degree.

Professional Courses

Send Page to Printer

Print this page.

Download Page (PDF)

The PDF will include all information unique to this page.

2023-2024 General Information Catalog

2022-2023 General Information Catalog

2023-2024 Graduate Catalog

2022-2023 Graduate Catalog

2022-2024 Law School Catalog

2023-2024 Medical School Catalog

2022-2024 Undergraduate Catalog

• Directories

Search form

You are here, courses - 2021.

Listings for future quarters are tentative and subject to change. For the most up-to-date information, please consult the UW Time Schedule . For a listing of all courses potentially offered, see the Course Catalog .

Winter 2021

•   News Feed
•   Alumni Update
•   Mailing List

• Global navigation
• Site navigation

IU South Bend Bulletin 2020-2021

• Student Affairs
• Financial Aid
• Colleges/Schools
• Grad Programs
• Elkhart Center

IU Resources

• Indiana University Web Site
• Administration
• Equal Opportunity/ Affirmative Action Policies

Previous IU South Bend Campus Bulletins

Students are ordinarily subject to the curricular requirements outlined in the Bulletin in effect at the start of their current degree. See below for links to previous Bulletins (bulletins prior to 2013-2014 are in PDF format only).

Online Only

If you are seeking further information regarding specific programs, please contact individual departments .

For problems accessing information on this website, please contact Teresa Sheppard .

Mathematical Science | MATH

P Prerequisite | C Co-requisite | R Recommended

• MATH-A 100 Fundamentals of Algebra (4 cr.) P: A math placement exam score of level 2 or above, or an ALEKS assessment score of 16 or higher to enroll. Can be currently enrolled. Transfer credit accepted. Designed to introduce linear models and their applications, graphing of linear and quadratic equations, and to foster the growth of proficiency in a range of algebraic topics including  factoring strategies. Does not satisfy the Campus General Education Mathematical Reasoning requirement.
• MATH-K 300 Statistical Techniques for Health Professions (3 cr.) P: Must earn a grade of C or better in MATH-A 100 or a math placement exam score of level 3 or better, or an ALEKS assessment score of 36 or better. Can be currently enrolled. Transfer credit accepted. C: MATH-M 125. Credit given for only one of MATH-K 300 and MATH-K 310. Course introduces nursing/health science students to the basic concepts and techniques of data analysis needed in professional health care practice. Measurements, data analysis and statistics are examined. Differences in types of qualitative data and methods of interpretation are explored. Procedures of estimation and hypothesis testing are also studied. Emphasis is on the application of fundamental conception to real situations in client care.
• MATH-K 310 Statistical Techniques (3 cr.) P: Must earn grade of C- or better in MATH-M 115 or MATH-M 125 or a math placement exam score of level 5 or better, or an ALEKS assessment score of 61 or better. Transfer credit accepted. Credit given for only one of MATH-K 300 and MATH-K 310. Introduction to probability and statistics. Elementary probability theory, conditional probability, independence, random variables, discrete and continuous probability distributions, measures of central tendency and dispersion. Concepts of statistical inference and decision: estimation, hypothesis testing, Bayesian inference, statistical decision theory. Special topics discussed may include regression and correlation, time series, analysis of variance, non-parametric methods.
• MATH-M 107 College Algebra (3 cr.) P: Must earn grade of C or better in MATH-A 100 or equivalent, or an ALEKS assessment score of 36 or higher. Designed to provide algebraic concepts and skills including sets of real numbers, exponents, complex fractions, linear equations and quadratic equations, rectangular coordinates, polynomial and rational expressions, complex numbers, and The Fundamental Theorem of Algebra.
• MATH-M 108 Quantitative Reasoning (3 cr.) Satisfy CW Gen Ed Fund Lit QR. P: C or higher in MATH-A 100 or ALEKS Assessment score greater than 30. Topics include numerical reasoning, descriptive statistics, and linear and exponential modeling as used in solving problems typically encountered in everyday life. Emphasis is on analytic thinking, argumentation and mathematical writing. Computers (spreadsheets, internet) and graphing calculators are used.
• MATH-M 109 Mathematical Foundations of Analytics (3 cr.) P: C or higher in MATH-A 100 or ALEKS Assessment score greater than 30. Topics primarily include percents, ratios, proportions, rates of change, select topics in geometry, basic pattern recognition, data organization, measures of average and measures of variation, normal distribution and quadratic functions. Emphasis will be given on solving real-world problems by transforming them into mathematical models. Builds conceptual understanding and develops problem-solving skills.
• MATH-M 111 Mathematics in the World (3 cr.) Satisfy CW Gen Ed Fund Lit QR. P: Must earn grade of C or better in MATH-A 100 or equivalent, or an ALEKS assessment score of 31 or higher. MATH-M 111 grade can replace IU South Bend MATH-M 110 grade. Conveys spirit of mathematical languages of quantity; students apply concepts from algebra, geometry, management science, probability, and statistics, and use scientific software to analyze real world situations.
• MATH-M 115 Precalculus and Trigonometry (5 cr.) P: Must earn grade of C- or better in MATH-M 107, a math placement exam score of level 4 or above, or an ALEKS assessment score of 51 or higher to enroll. Can be currently enrolled. Transfer credit accepted. Equivalent to MATH-M 125/MATH-M 126. Credit not given for both MATH-M 115 and MATH-M 125/MATH-M 126. Satisfies Campuswide General Education Fundamental Literacies: Quantitative Reasoning. Designed to prepare students for higher numbered mathematics and computer science courses. Algebraic operations; polynomials; functions and their graphs; conic sections, linear systems of equations; trigonometric, exponential and logarithmic functions.
• MATH-M 118 Finite Mathematics (3 cr.) P: Must earn grade of C or better in MATH-A 100 or equivalent, or a grade of C or better in Math-M109, or an ALEKS assessment score of 36 or higher. Set theory, logic, permutations, combinations, simple probability, conditional probability, Markov chains.
• MATH-M 119 Brief Survey of Calculus 1 (3 cr.) P: Must earn grade of C- or better in MATH-M 125 or MATH-M 115 or a math placement exam score of level 5 or above, or an ALEKS assessment score of 61 or higher. Can be currently enrolled. Transfer credit accepted. Primarily for students from business and the social sciences. Credit given for only one of the following: MATH-M 119, MATH-M 208, MATH-M 215. Sets, limits, derivatives, integrals, and applications.
• MATH-M 120 Brief Survey of Calculus 2 (3 cr.) P: Must earn grade of C- or better in MATH-M 119 to enroll. Can be currently enrolled. Transfer credit accepted. Credit not given for both MATH-M 216 and MATH-M 120. A continuation of M119 covering topics in elementary differential equations, calculus of functions of several variables and infinite series. Intended for nonphysical science students.
• MATH-M 125 Pre-Calculus Mathematics (3 cr.) Credit not given for both MATH-M 125 and MATH-M 115. Designed to prepare students for M215. Algebraic operations; polynomial, exponential, and logarithmic, functions and their graphs; conic sections; systems of equations; and inequalities.
• MATH-M 126 Trigonometric Functions (3 cr.) P: Must have grade of C- or better in MATH-M 125 or a math placement exam score of level 5 or above, or an ALEKS assessment score of 61 or higher. Can be currently enrolled. Transfer credit accepted. Credit not given for both MATH-M 126 and MATH-M 115. Satisfies Campuswide General Education Fundamental Literacies: Quantitative Reasoning. Designed to develop the properties of the trigonometric, exponential, and logarithmic functions and to prepare for course in calculus.
• MATH-M 127 Pre-Calculus with Trigonometry (5 cr.) P: C- or higher in MATH-M 107 or equivalent; or ALEKS Assessment score > 50. This course is designed to prepare students for calculus (M215). Subject matter includes polynomial, rational, exponential, logarithmic, and trigonometric functions and their application.
• MATH-M 208 Technical Calculus I (3 cr.) P: C- or higher in MATH-M 115 or C- or higher in MATH-M 125 and MATH-M 126. An introduction to differential and integral calculus for today's technology students. It covers analytic geometry, limits, derivatives, applications of the derivatives, the integrals, and transcendental functions and technical applications. The approach is semi-rigorous with emphasis on the applications of calculus to technology.
• MATH-M 209 Technical Calculus II (3 cr.) P: C- or higher in MATH-M 208 or C- or higher in MATH-M 215. This is the second semester of differential and integral calculus for today's technology students. It covers application of the integral, limited techniques, integration techniques, infinite series, differential equations, and the Laplace transform. The approach is semi-rigorous with emphasis on the applications of calculus to technology.
• MATH-M 215 Calculus I (5 cr.) P: Must earn grade of C- or better in MATH-M 115 or MATH-M 119 and MATH-M 126 or both MATH-M 125 and M 126 or a math placement exam score of level 6 or above, or an ALEKS assessment score of 76 or higher. Credit given for only one of the following: MATH-M 119, MATH-M 208, MATH-M 215. Limits, continuity, derivatives, definite and indefinite integrals, applications, techniques of integration, infinite series.
• MATH-M 216 Calculus II (5 cr.) P: Must have earned grade of C- or better in MATH-M 215 or an equivalent transfer course to enroll. Can be currently enrolled. Credit given for only one of the following: MATH-M 209, MATH-M 120, MATH-M 216. Limits, continuity, derivatives, definite and indefinite integrals, applications, techniques of integration, infinite series.
• MATH-M 260 Combinatorial Counting and Probability (3 cr.) P: Must have earned grade of C- or better in MATH-M 215 or an equivalent transfer course to enroll. Can be currently enrolled. Credit not given for both MATH-M 260 and MATH-M 365. Permutations, combinations, counting principles, tree diagrams, binomial theorem, statistical experiments, conditional probability, independent events, random variables, probability density, cumulative distribution, expected values, standard deviations, binomial, Poisson, normal distribution, and the central limit theorem.
• MATH-M 261 Statistical Inferences (2 cr.) P: Must have earned a grade of C- or better in MATH-M 260 to enroll. Can be currently enrolled. Transfer credit accepted. Credit not given for both MATH-M 261 and MATH-M 366. Estimates for population parameters, estimation judged by unbiasedness and mean square error, t-distribution, chi-square distribution, philosophy of hypothesis testing, probabilities in making conclusions after testing, estimation and hypothesis testing, linear and nonlinear least square regression equation for prediction and forecast.
• MATH-M 295 Readings and Research (1-3 cr.) Admission only with permission of a member of the Mathematics Faculty who will act as supervisor. Does not count toward divisional distribution requirements.
• MATH-M 301 Linear Algebra and Applications (3-4 cr.) P: Must have completed MATH-M 215. Solving systems of linear equations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors. Selection of advanced topics. Applications throughout. Computer used for theory and applications.
• MATH-M 311 Calculus 3 (3-5 cr.) P: MATH-M 216. Transfer credit accepted. Elementary geometry of 2, 3, and n-space, functions of several variables, partial differentiation, minimum and maximum problems, multiple integration.
• MATH-M 312 Calculus 4 (3 cr.) P: MATH-M 311 or MATH-S 311. Differential calculus of vector valued functions, transformation of coordinated, change of variables in multiple integrals. Vector integral calculus: line integrals, Green's theorem, surface integrals, Stokes' theorem. Applications.
• MATH-M 320 Theory of Interest (3 cr.) P: MATH-M 216 or an equivalent transfer course; or instructor's consent. Measurement of interest; accumulation and discount; equations of value; annuities; perpetuities; amortization and sinking funds; yield rates; bonds and other securities; installment loans; depreciation, depletion, and capitalized cost.
• MATH-M 325 Problem Seminar in Actuarial Science (1-6 cr.) P: Must earn a grade of C- or better in M 463. A problem-solving seminar to prepare students for the actuarial examinations. May be repeated up to three times for up to six credits.
• MATH-M 343 Introduction to Differential Equations with Applications I (3 cr.) P: Must have completed MATH-M 216. Ordinary differential equations and methods for their solution, including series methods and the Laplace transform.  Applications of differential equations.  Systems, stability, and numerical methods.  Partial differential equations of mathematical physics, Fourier series.
• MATH-M 344 Introduction to Differential Equations with Applications II (3 cr.) P: Must have earned a grade of C- or better in Math-M 311 and Math-M 343 to enroll. Ordinary differential equations and methods for their solution, including series methods and the Laplace transform.  Applications of differential equations.  Systems, stability, and numerical methods.  Partial differential equations of mathematical physics, Fourier series.
• MATH-M 347 Discrete Mathematics (3 cr.) P: MATH-M 216. Transfer credit accepted. Injective and surjective functions; inverse functions; composition; reflexive, symmetric, and transitive relations; equivalence relations; sets including complements, products, and power sets; cardinality; introductory logic including truth tables and quantification; elementary techniques of proof including induction and recursion; counting techniques; graphs and trees; discrete probability.
• MATH-M 365 Introduction to Probability and Statistics (3-4 cr.) P: MATH-M 209 or MATH-M 212, or MATH-M 216. Credit not given for MATH-M 365 and MATH-M 463/MATH-M 466. Elementary concepts of probability and statistics. Combinatorics, conditional probability, independence, random variables, discrete and continuous distributions, moments. Statistical inference, point estimation, confidence intervals, test of hypotheses. Applications to social and natural sciences.
• MATH-M 366 Elements of Statistical Inference (3 cr.) Introduction to statistical theory. Basic sampling distributions. Order statistics. Point estimation, maximum likelihood estimation, the Cramer-Rao bound, least squares method, confidence intervals, hypothesis-testing concepts, Neyman-Pearson lemma, likelihood ratio tests, linear models, large sample theory, contingency tables, goodness-of-fit tests.
• MATH-M 371 Elementary Computational Methods (3 cr.) Interpolation and approximation of functions, solution of equations, numerical integration and differentiation. Errors convergence, and stability of the procedures. Students write and use programs applying numerical methods.
• MATH-M 380 History of Mathematics (3 cr.) P: MATH-M 208, MATH-M 211, or MATH-M 215. Brief study of the development of algebra and trigonometry; practical, demonstrative, and analytic geometry; calculus, famous problems, calculating devices; famous mathematicians and chronological outlines in comparison with outlines in the sciences, history, philosophy, and astronomy.
• MATH-M 391 Introduction to Mathematical Reasoning (3 cr.) P: MATH-M 216. Transfer credit accepted. Elementary logic, techniques of proof, basic set theory, functions, relations, binary operations, number systems, counting. Bridges the gap between elementary and advanced courses. Not open to students who have received credit for MATH-M 403, MATH-M 413, or MATH-M 420.
• MATH-M 403 Introduction to Modern Algebra I (3 cr.) P: Must have completed M 301 and M 391 or M 347. Study of groups, rings, field extensions, with applications to linear transformations.
• MATH-M 404 Introduction to Modern Algebra 2 (3 cr.) P: Must have completed MATH-M 403. Study of groups, rings, field extensions, with applications to linear transformations.
• MATH-M 405 Number Theory (3 cr.) P: Must have earned grade of C- or better in MATH-M 216 or MATH-M 212 to enroll. Can be currently enrolled. Transfer credit accepted. Numbers and their representation, divisibility and factorization, primes and their distribution, number theoretic functions, congruence, primitive roots, Diophantine equations, quadratic residues, sums of squares.
• MATH-M 409 Linear Transformations (3 cr.) P: Must have completed MATH-M 301. The study of linear transformations of a finite dimensional vector space over the complex field. Canonical forms similarity theory; inner products and diagonalization of normal transformations.
• MATH-M 413 Introduction to Analysis 1 (3 cr.) P: Must have completed MATH-M 391 or three courses at or above the 300-level. It is strongly recommended that students who have had little experience writing proofs take MATH-M 391 before taking MATH-M 413. It is strongly recommended that students who have had little experience writing proofs take MATH-M 391 before taking MATH-M 413. Modern theory of real number system, limits, functions, sequences and series, Riemann-Stieltjes integral, and special topics.
• MATH-M 414 Introduction to Analysis 2 (3 cr.) P: Must have completed MATH-M 413. Continuation of Math-M 413. Functions of several variables, Taylor series, extreme values.  Manifolds in Euclidean space, Implicit function Theorem, Inverse Function Theorem.  Divergence Theorem and other classical theorems of vector calculus. Special topics.
• MATH-M 415 Elementary Complex Variables (3 cr.) P: Must have earned a grade of C- or better in MATH-M 311 to enroll. Can be currently enrolled. Transfer credit accepted. Algebra and geometry of complex numbers, elementary function of a complex variable, power series, integration, calculus of residues, conformal mappings. Applications to physics.
• MATH-M 420 Metric Space Topology (3 cr.) P: MATH-M 347 or MATH-M 391. Topology of Euclidean and metric spaces. Limits and continuity. Topological properties of metric spaces, including separation properties, connectedness, and compactness. Complete metric spaces. Elementary general topology.
• MATH-M 427 Combinatorics (3 cr.) P: Must have completed MATH-M 347 or MATH-M 391. An introduction to combinatorics, the study of discrete mathematical structures. Topics include enumerative methods, generating functions, famous number families, elementary graph theory, and strategies for combinatorial problem solving.
• MATH-M 435 Introduction to Differential Geometry (3 cr.) P: MATH-M 301 and MATH-M 311. An introduction to the geometry or curves and surfaces. Topics will include arc length torsion, Frenet formulae, metrics, curvatures, and classical theorems in these areas.
• MATH-M 436 Introduction to Geometries (3 cr.) P: MATH-M 347 or MATH-M 391. R: MATH-M 403. Non-Euclidean geometry, axiom systems. Plane projective geometry, Desarguesian planes, perspectivities, coordinates in the real projective plane. The group of projective transformations and subgeometries corresponding to subgroups. Models for geometries. Circular transformations.
• MATH-M 445 Probability Theory for Risk Management (3 cr.) P: Must have completed MATH-M 463. Single and multivariate probability distributions, functions of random variables, mixed distributions, probability inequalities, basic concepts of risk management and insurance, probability models and methods for quantitative risk assessment, preparation for SOA/CAS Exam P/1.
• MATH-M 446 Financial Mathematics (3 cr.) P: MATH-M 320 or instructor's consent. This course is a continuation of a first semester in Theory of Interest and prepares students for the second professional actuarial examination. Topics include the rate of return of an investment, term structure of interest rates, cash flow duration, cash flow convexity and immunization.
• MATH-M 447 Mathematical Models and Applications 1 (3 cr.) P: Must have earned grade of C- or better in MATH-M 301 to enroll. Can be currently enrolled. Transfer credit accepted. Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth.
• MATH-M 448 Mathematical Models and Applications II (3 cr.) P: MATH-M 447. Formation and study of mathematical models used in the biological, social, and management sciences. Mathematical topics include games, graphs, Markov and Poisson processes, mathematical programming, queues, and equations of growth.
• MATH-M 451 The Mathematics of Finance (3 cr.) P: Two courses from the following: MATH-M 301, MATH-M 311, MATH-M 343, MATH-M 365, MATH-M 447 and MATH-M 463. Course covers probability theory, Brownian motion, Ito's Lemma, stochastic differential equations, and dynamitic hedging. These topics are applied to the Black-Scholes formula, the pricing of financial derivatives, and the term theory of interest rates. I (even years)
• MATH-M 463 Introduction to Probability Theory I (3-4 cr.) C: MATH-M 311, may be enrolled concurrently. Counting techniques, the meaning of probability. Random experiments, conditional probability, independence.  Random variables, expected values and standard deviations, moment generating functions, important discrete and continuous distributions. Poisson processes.  Multivariate distributions, basic limit laws such as the central limit theorem.
• MATH-M 466 Introduction to Mathematical Statistics (3 cr.) P: Must have completed MATH-M 463. Rigorous mathematical treatment of problems in sampling and statistical inference. Sufficient statistics, exponential distributions, monotone likelihood ratio, most powerful tests, minimum variance estimates, shortest confidence intervals, linear models and analysis of variance, nonparametric methods.
• MATH-M 467 Advanced Statistical Techniques I (3 cr.) P: Must have completed MATH-M 466. Statistical techniques of wide application, developed from the least-squares approach: fitting of lines and curves to data, multiple regression, analysis of variance of one-way and two-way layouts under various models, multiple comparison.
• MATH-M 468 Advanced Statistical Techniques II (3 cr.) P: Must have completed MATH-M 466. Analysis of discrete data, chi-square tests of goodness of fit and contingency tables, Behrens-Fisher problem, comparison of variances, nonparametric methods, and some of the following topics: introduction to multivariate analysis, discriminant analysis, principal components.
• MATH-M 471 Numerical Analysis 1 (3 cr.) P: Need MATH-M 301, MATH-M 311, and CSCI-C 101. Interpolation and approximation of functions, numerical integration and differentiation, solution of nonlinear equations, acceleration and extrapolation, solution of systems of linear equations, eigenvalue problems, initial and boundary value problems for ordinary differential equations, and computer programs applying these numerical methods.
• MATH-M 472 Numerical Analysis 2 (3 cr.) P: Must have earned grade of C- or better in each of MATH-M 343 and MATH-M 471 (or M 571) to enroll. Can be currently enrolled. Transfer credit accepted. Interpolation and approximation of functions, numerical integration and differentiation, solution of nonlinear equations, acceleration and extrapolation, solution of systems of linear equations, eigenvalue problems, initial and boundary value problems for ordinary differential equations, and computer programs applying these numerical methods.
• MATH-M 491 Putnam Examination Seminar (1 cr.) P: Must have earned grade of C- or better in MATH-M 215 or an equivalent transfer course to enroll. Can be currently enrolled. The Putnam Examination is a national mathematics competition for college undergraduates at all levels of mathematics study. It is held in December each year. This problem seminar is designed to help student prepare for the examination.
• MATH-M 505 Basic Number Theory I (3 cr.) P: MATH-M 216 Calculus II and MATH-M 403 Modern Algebra. Congruencies, unites modulo n, lattices and abelian groups, quadratic residues, arithmetic functions, Diophantine equations, Farey fractions, continued fractions, partition function, the Sieve method, density of subsets of integers, c-function, the prime number theorem.
• MATH-M 513 Complex Variables 1 (3 cr.)
• MATH-M 546 Control Theory (3 cr.) P: MATH-M 301, MATH-M 343. Examples of control problems; optimal control of deterministic systems; linear and nonlinear. The maximal principle; Stochastic control problems.
• MATH-M 551 Markets and Asset Pricing (3 cr.) P: Two courses from the following: MATH-M 301, MATH-M 311, MATH-M 343, MATH-M 365, MATH-M 447. The concept of arbitrage and risk-neutral pricing are introduced within the context of dynamical models of stock prices, bond prices and currency exchange rates.  Specific models include multi-period binomial models, Markov processes, Brownian motion and martingales.
• MATH-M 560 Applied Stochastic Processes (3 cr.) P: MATH-M 301, MATH-M 463 or MATH-M 365, or consent of instructor. Simple random walk as approximation of Brownian motion. Discrete-time Markov chains. Poisson, compound Poisson, and birth-and-death chains; Kolmogorov's backward and forward equations; steady state. Diffusions as limits of birth-and-death processes. Examples drawn from diverse fields of application.
• MATH-M 562 Statistical Design of Experiments (3 cr.) P: MATH-M 365, MATH-M 466, or consent of instructor. Latin square, incomplete blocks, and nested designs. Design and analysis of factorial experiments with crossing and nesting of factors, under fixed, random, and mixed effects models, in the balanced case. Blocking and fractionation of experiments with many factors at two levels. Exploration of response surfaces.
• MATH-M 565 Analysis of Variance (3 cr.) P: MATH-M 466 and some matrix algebra. General linear hypothesis. Least squares estimation. Confidence regions. Multiple comparisons. Analysis of complete layouts. Effects of departures from underlying assumptions. Analysis of covariance.
• MATH-M 571 Analysis of Numerical Methods I (3 cr.) P: CSCI-C 101, MATH-M 301, MATH-M 311, or consent of instructor. Solution of systems of linear equations, elimination and iterative methods, error analyses, eigenvalue problems; numerical methods for integral equations and ordinary differential equations; finite difference, finite element, and Galerkin methods for partial differential equations; stability of methods.
• MATH-M 572 Analysis of Numerical Methods II (3 cr.) P: MATH-M 343, MATH-M 571. Solution of systems of linear equations, elimination and iterative methods, error analyses, eigenvalue problems; numerical methods for integral equations and ordinary differential equations; finite difference, finite element, and Galerkin methods for partial differential equations; stability of methods.
• MATH-M 574 Applied Regression Analysis (3 cr.) P: MATH-M 466 or MATH-M 365 or MATH-M 261. Least square estimates of parameters; single linear regression; multiple linear regression; hypothesis testing and confidence intervals in linear regression models; testing of models, data analysis and appropriateness of models; optional topics about nonlinear regression, i.e. logistic regression, Poisson regression, and generalized linear regression models.
• MATH-M 575 Simulation Modeling (3 cr.) P: MATH-M 209 or MATH-M 216; MATH-M 365, MATH-M 463, or CSCI-C 455; CSCI-C 101. The statistics needed to analyze simulated data; examples such as multiple server queuing methods, inventory control, and exercising stock options; variance reduction variables and their relation to regression analysis. Monte Carlo method, Markov chain, and the alias method for generating discrete random variables.
• MATH-M 576 Forecasting (3 cr.) P: MATH-M 301, MATH-M 365, or MATH-M 466. Forecasting systems, regression models, stochastic forecasting, time series, smoothing approach to prediction, model selection, seasonal adjustment, Markov chains, Markov decision processes, and decision analysis.
• MATH-M 577 Operations Research: Modeling Approach (3 cr.) P: MATH-M 209, MATH-M 212, MATH-M 216, or MATH-M 301. Credit not given for both MATH-M 577 and MATH-M 447. Mathematical methods of operations research used in the biological, social, management sciences. Topics include modeling, linear programming, the simplex method, duality theory, sensitivity analysis, and network analysis.
• MATH-M 578 Operations Research II (3 cr.) P: MATH-M 577. Network Optimization Models: The Terminology of Networks, the Shortest-Path Problem, The Minimum Spanning Tree Problem, The Maximum Flow Problem, The minimum Cost Flow Problem, The Network Simplex Method, A network Model for Optimizing a Projects Time-Cost Trade-Off, PERT and CPM.
• MATH-M 800 Mathematical Reading and Research (1-12 cr.)
• MATH-N 390 The Natural World (3 cr.) P: Must have earned grade of C- or better in MATH-M 215 or an equivalent transfer course to enroll. Can be currently enrolled. Explores an important scientific or technological issue in modern society.  Applies scientific methods and interdisciplinary perspectives in an examination of the subject.  Investigates the broader implications and ethical dimensions of scientific research and technological advancement.
• MATH-T 101 Mathematics for Elementary Teachers 1 (3 cr.) P: A grade of C or better in MATH-A 100 or a math placement exam score of level 3 or better, or an ALEKS assessment score of 36 or higher. Elements of set theory, counting numbers. Operations on counting numbers, integers, rational numbers, and real numbers. Only open to elementary education majors.
• MATH-T 102 Mathematics for Elementary Teachers II (3 cr.) P: Must earn grade of C or better in MATH-T 101 Prime numbers and elementary number theory. Elementary combinatorics, probability, and statistics.
• MATH-T 103 Mathematics for Elementary Teachers III (3 cr.) P: Must earn grade of C or better in MATH-T 101 Descriptions and properties of basic geometric figures. Rigid motions. Axiomatics. Measurement, analytic geometry, and graphs of functions. Discussion of modern mathematics.
• MATH-T 201 Problem Solving (3 cr.) P: C or better in MATH-T 102 and C or better in T 103, or C- or better in M 118 and M 125. Provides experiences in mathematical problem solving for future teachers of mathematics, and for others interested in mathematical thinking. Exploration and development of the general processes of mathematical thinking, including monitoring and reflection, conjecturing, justifying and convincing.
• MATH-T 336 Topics in Euclidean Geometry (3 cr.) P: Must have earned grade of C- or better in MATH-M 301 to enroll. Can be currently enrolled. Transfer credit accepted. A study of the central aspects of two-dimensional Euclidean geometry from historical and axiomatic points of view as well as through hands-on and/or computer-based exploration of geometric concepts and constructions.
• MATH-T 436 Secondary Mathematics for Teachers (3 cr.) P: Must have completed MATH-T 103. Emphasizes developing a deeper understanding of secondary mathematics by examining its fundamental ideas from an advanced perspective. Topics selected from real and complex number systems, functions, equations, integers, polynomials, congruence, distance and similarity, area and volume, and trigonometry.
• MATH-T 490 Topics for Elementary Teachers (3 cr.) P: MATH-T 103. Development and study of a body of mathematics specifically designed for experienced elementary teachers. Examples include probability, statistics, geometry, and algebra. Open only to graduate elementary teachers with permission of the instructor.
• MATH-T 610 Topics in Analysis (3 cr.) This course will cover graduate-level knowledge in Analysis applications, including Real Analysis, Complex Analysis, Fourier Analysis, and other topics in Analysis.
• MATH-T 620 Topics in Topology/Geometry (3 cr.) Students will develop graduate-level knowledge in essential concepts of Topology/Geometry including topics in Euclidean and non-Euclidean Geometry, Point set topology, Differential Topology, Differential Geometry, and other topics in Topology/Geometry.
• MATH-T 640 Topics in Applications (3 cr.) Students will develop graduate-level knowledge in Differential Equations and Applications including Numerical Methods, Mathematics of Finance, Graph Theory, Mathematical Physics, and other topics.
• MATH-T 650 Topics in Probability/Statistics (3 cr.) This course will cover graduate-level knowledge of key concepts of Probability/Statistics.
• MATH-W 109 Mathematical Typesetting (1-2 cr.) This course introduces the creation of mathematical and scientific documents in the universal typesetting software LATEX.
• STAT-S 512 Statistical Learning and Data Analytics (3 cr.) P: MATH-M 301, MATH-M 466, MATH-M 261, or consent of instructor. This course emphasizes the fundamentals of statistical learning and data mining and their applications with the least of mathematical details. Topics include methods of supervised: regression, classification, resampling methods, tree-based methods, and support vector machines. Some unsupervised learning methods are also covered. The methods are illustrated with real data examples

Academic Bulletins

• Indiana University
• IU Bloomington

PDF Version

Copyright © 2024 The Trustees of Indiana University , Copyright Complaints

• Academic Programs

Course Listing

• Undergraduate
• Applied Math
• National Math Sciences Alliance
• Course Links
• Math Resource Room (MRR)
• Brightspace
• Past Courses Archive
• Past Exams Archive
• University Exam Schedules
• University Course Catalog
• University Course Schedule
• Undergraduate Advisors
• Undergraduate Plans of Study
• WIEP-WISP Tutoring Program

Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067

Phone: (765) 494-1901 - FAX: (765) 494-0548   Contact Us

© 2024 Purdue University | An equal access/equal opportunity university | Copyright Complaints

Trouble with this page? Disability-related accessibility issue ? Please contact the College of Science .

Maintained by Science IT

• Grand Rapids/Muskegon
• Saginaw/Bay City
• All Michigan

Meet the Jackson 13 year old who’s already a whiz at college-level math

• Updated: Jun. 03, 2024, 2:04 p.m. |
• Published: Jun. 03, 2024, 7:48 a.m.

Ishaan Krosuru, left, and his father Murali Venkata Naga pose with certificates and trophies from Krosuru's math competition successes on May 23, 2024 in downtown Jackson. (Mitchell Kukulka | MLive.com) Mitchell Kukulka | [email protected]

• Mitchell Kukulka | [email protected]

JACKSON, MI - Ishaan Krosuru has always had a passion for numbers.

Thanks to strong support system both at school and at home, that passion is being honed into outstanding academic success.

Ishaan, 13, has excelled in math the last two years, testing out of several high school-level math classes and placing high in state and national math competitions while still in middle school.

“He’s phenomenal in a sense - the way he does math is awesome,” said Murali Venkata Naga, Ishaan’s father and avid supporter.

In his final days as a Paragon Charter Academy eighth grader, Ishaan has already tested out of the Algebra I, Geometry I, Algebra II courses offered at Jackson High School, and is currently on track to complete pre-calculus through Michigan Virtual .

When he starts at JHS in the fall, the he’s expected to take advanced-placement calculus, Venkata Naga said.

Ishaan has also proven his aptitude in math on a competition level, placing first among eighth grade students in the state in the Math Kangaroo international contest, while tying for fourth place at the national level.

He has also placed at the state level in the MathCounts competition for the last three years in a row, placing first in Jackson County early this year.

“There might be little bit of pressure, because there are very high expectations, but overall it’s really great,” Ishaan said. “My mom and dad always help me get through it.”

Ishaan Krosuru, center, poses with his father Murali Venkata Naga and mother Kalyani Krosuru while holding certificates and trophies from his math competition successes. (Photo provided by Murali Venkata Naga) Courtesy Photo | Murali Venkata Naga

After his parents began noticing his talent for all things numeric while he was in sixth grade, Ishaan began studying math at home with his mother Kalyani Krosuru, herself a math teacher at Paragon.

Venkata Naga said Paragon has been extremely supportive of his son, specifically crediting Dean Sue Delie, Principal Benjamin Kriesch and MathCounts coach Renee Novak-arze for providing Ishaan with extra assistance.

“I’m really not sure when I started liking math, but I’ve always been fascinated by numbers since I was a child,” Ishaan said. “I always liked to figure out how numbers could be used more in the real world.”

Whenever the stress of academics starts getting to him, Ishaan likes winding down with music, especially by playing piano and violin.

Ishaan also tries to use his aptitude for numbers to bolster his after-school hobbies. An avid fan of video games - particularly Minecraft, Roblox and Geometry Dash - Ishaan often finds himself thinking deeply about the stats of his weapon selection in games like Fortnite.

Ishaan hopes to someday use his skills at math and science to change the world. Ishaan currently has plans to become an actuary - someone who uses advanced mathematics to aid companies with things such as risk-management.

If you would like more reporting like this delivered free to your inbox, click here and signup for our weekly newsletter: Michigan Schools.

Want more Jackson-area news? Bookmark the local Jackson news page or sign up for the free “ 3@3 Jackson ” daily newsletter.

Stories by Mitchell Kukulka

• Several Jackson-area administrators vying for Grass Lake superintendent seat
• Meet the Teacher: He uses humor, compassion to teach his Jackson students to love English
• Equity policy draft faces backlash at Jackson school board meeting
• Jackson adds 6 news lots for use by ‘100 Homes’ housing initiative
• Negotiations to demolish buildings damaged in massive industrial fire begin in Jackson

If you purchase a product or register for an account through a link on our site, we may receive compensation. By using this site, you consent to our User Agreement and agree that your clicks, interactions, and personal information may be collected, recorded, and/or stored by us and social media and other third-party partners in accordance with our Privacy Policy.

• STPM Syllabus
• Regulation and Scheme of Examination
• Instructions and Guidelines for STPM Candidates Admission
• STPM Calendar
• Examination Timetable
• General Guidelines of Management and Operations of Course Work
• Coursework Materials for STPM
• The Checking of Course Work Submission
• Appeals for Remarking of STPM Examinations Papers
• Withdrawal From Examination
• Change/Addition/Reduction of Subject(s)/Transfer of Examination Centre
• STPM Certificates
• Correction of Candidates' Information Form
• New STPM Assessment System Pamphlet
• Instruction to candidates 970/4
• LPKC Checking
• STPM Result Checking

Items starting with M Files

Manual kerja kursus 900/4 tahun 2024.

Updated on Wednesday, 10 January 2024

Manual Kerja Kursus 900/4 Tahun 2023

Updated on Tuesday, 17 January 2023

Manual Kerja Kursus Sejarah 940/4 Tahun 2024

Updated on Thursday, 11 January 2024

Manual Kerja Kursus Sejarah 940/4 Tahun 2023

Manual kerja kursus 910/4 tahun 2024, manual kerja kursus 922/4 stpm 2024, manual kerja kursus 932/4 tahun 2023.

Updated on Friday, 29 July 2022

Manual Kerja Kursus 910/4 Tahun 2023

Updated on Thursday, 12 January 2023

Manual Kerja Kursus 913/5 STPM 2023

Updated on Tuesday, 04 July 2023

Manual Kerja Kursus 910/5 Tahun 2023

Updated on Wednesday, 05 July 2023

• MUET Express (MeX)
• Edexcel - IAL
• Edexcel - International GCSE
• Edexcel - iPrimary
• Edexcel - iLowerSecondary
• Circular Links
• Vacancy Advertisement
• Tender/Quotation Offer
• Results & Errors Tender / Quotation
• Feedback and Complaints
• User Manual
• Press / Media Release
• Bayaran Penjawat Peperiksaan
• eSijil Penjawat Peperiksaan MPM
• Borang Laporan Mesyuarat
• Etika Penggunaan Emel
• Portal Kakitangan
• Klinik Panel
• Sistem Pengurusan Stor (SPS)
• Sistem Tempahan Bilik Mesyuarat

• My View My View
• Following Following
• Saved Saved

South African election early results see ANC losing majority, DA and MK performing well

• Medium Text

• South Africans voted on Wednesday for new parliament
• Early results: ANC biggest party but no majority
• New parliament will elect president
• Ex-president Zuma's party erodes support for ANC

'DISASTER FOR SOUTH AFRICA'

Sign up here.

Additional reporting by Kopano Gumbi, Tannur Anders, Alexander Winning, Nellie Peyton, Bate Felix, Karin Strohecker, Olivia Kumwenda-Mtambo and Bansari Mayur Kamdar; Writing by Estelle Shirbon and Joe Bavier; Editing by Gareth Jones, Toby Chopra, Emelia Sithole-Matarise and Alison Williams

Our Standards: The Thomson Reuters Trust Principles. New Tab , opens new tab

Thomson Reuters

Based in Johannesburg, Bhargav reports on breaking news across Sub-Saharan Africa. He has covered several high-profile stories on the continent, including former Paralympic star Oscar Pistorius's parole and release and the BRICS summit. Previously he spent three and a half years in Bengaluru, India, as part of Reuters' Global News Monitoring team. He has a master's degree in International Studies.

Based in Johannesburg, Anait reports on breaking news across Sub-Saharan Africa. Previously she spent over two years in Gdansk, Poland, covering company news and translating Reuters articles from English into French. Prior to joining Reuters in 2020, Anait studied journalism at Sciences Po, Paris, and linguistics at Moscow State Linguistic University.

World Chevron

U.S. Defense Secretary visits Cambodia as it moves closer to Beijing

U.S. Defense Secretary Lloyd Austin arrived in Cambodia on Tuesday for a brief visit aimed at reversing some of the gains China has made in the country amid increasing concern about Beijing's growing presence at a key Cambodian naval base.

• STPM Syllabus
• Regulation and Scheme of Examination
• Instructions and Guidelines for STPM Candidates Admission
• STPM Calendar
• Examination Timetable
• General Guidelines of Management and Operations of Course Work
• Coursework Materials for STPM
• The Checking of Course Work Submission
• Appeals for Remarking of STPM Examinations Papers
• Withdrawal From Examination
• Change/Addition/Reduction of Subject(s)/Transfer of Examination Centre
• STPM Certificates
• Correction of Candidates' Information Form
• New STPM Assessment System Pamphlet
• Instruction to candidates 970/4
• LPKC Checking
• STPM Result Checking

Categories starting with #

900 pengajian am (2), 910 bahasa melayu (3), 913 bahasa arab (1), 922 kesusasteraan melayu komunikatif (1), 930 syariah (2), 931 usuluddin (1), 932 tahfiz al-quran (2), 940 sejarah (2), 942 geografi (1), 944 ekonomi (1), 946 pengajian perniagaan (2), 948 perakaunan (1), 950 mathematics (m) (1), 954 mathematics (t) (1), 958 information and communications technology (ict) (1), 960 physics (1), 962 chemistry (1), 964 biology (1), 966 sains sukan (1), 970 seni visual (1), items starting with # files, 950 mathematics (m).

Updated on Friday, 14 July 2023

954 Mathematics (T)

958 information and communications technology (ict), 960 physics, 962 chemistry, 964 biology, 966 sains sukan.

• MUET Express (MeX)
• Edexcel - IAL
• Edexcel - International GCSE
• Edexcel - iPrimary
• Edexcel - iLowerSecondary
• Circular Links
• Vacancy Advertisement
• Tender/Quotation Offer
• Results & Errors Tender / Quotation
• Feedback and Complaints
• User Manual
• Press / Media Release
• Bayaran Penjawat Peperiksaan
• eSijil Penjawat Peperiksaan MPM
• Borang Laporan Mesyuarat
• Etika Penggunaan Emel
• Portal Kakitangan
• Klinik Panel
• Sistem Pengurusan Stor (SPS)
• Sistem Tempahan Bilik Mesyuarat