Mathematics Major

The official requirements for the Mathematics Major are published in the undergraduate bulletin. The general preperatory curriculum applies to the Mathemeatics Major.

Basic Mathematics Major Requirements

Students electing the basic mathematics major must complete Math 341(241) and 24 additional upper-division math credits (numbered 300 and above), including at least 3 credits from each of the applied math, computational math, probability and statistics, and pure math groups. At least one sequence is required among these 24 upper-division math credits. Students must complete at least 15 upper-division credits in the major in residence at UWM. The College requires that students attain at least a 2.5 GPA on all credits in the major attempted at UWM. In addition, students must attain a 2.5 GPA on all major credits attempted, including transfer work.

Specialization Options

The following four options add a specialty to the basic math major. Students must complete the requirements of the basic math major as stated above as well as the appropriate course requirements for the specialties, as listed below. Completion of any of the specialty options requires at least 30 upper-division math credits, in addition to Math 341.

Applied Mathematics Option

At least 9 credits from the applied math group, 9 from the computational math group, and 6 from the probability and statistics group; two courses from CompSci 151, 201, 251.

Computational Mathematics Option

At least 6 credits from the applied math group, 12 from the computational math group, and 6 from the probability and statistics group; all of CompSci 151, 201, 217, 251, and 535.

Pure Mathematics Option

At least 18 credits from the pure math group, with at least 9 from the pure math I group; CompSci 151 or 201.

Statistics Option

Additional Preparatory curriculum

Mth Stat 215, Elementary Statistical Analysis is required in addition to the general preparatory curriculum.

At least one of the following options is required:

  • CompSci 151 Introduction to Scientific Programming in Fortran, 3 cr
  • CompSci 153 Introduction to Scientific Programming in C++, 3 cr
  • both CompSci 201 Introductory Computer Programming, 3 cr, and 251 Intermediate Computer Programming, 4 cr
Core Curriculum

At least one of the following sequences:

  • Math 521 and 522 Advanced Calculus, 6 cr
  • Math 621 and 622 Introduction to Analysis, 6 cr

All of the following three courses

  • MthStat 361 Introduction to Mathematical Statistics I, 3 cr
  • MthStat 362 Introduction to Mathematical Statistics II, 3 cr
  • MthStat 563 Regression Analysis, 3 cr

At least three of the following:

  • MthStat 562 Design of Experiments, 3 cr
  • MthStat 564 Time Series Analysis, 3 cr
  • MthStat 565 Nonparametric Statistics, 3 cr
  • MthStat 568 Multivariate Statistical Analysis, 3 cr
  • Math 571 Introduction to Probability Models, 3 cr
 

Course Information

Course descriptions can be found in the undergraduate bulletin for Mathematics, Mathematical Statistics (MthStat), and Computer Science (CompSci). Upper-division math refers to any Math or MthStat course at the 300 level or above.

Course Sequences

  • 313/314 - Programming and Optimization
  • 320/322 - Differential Equations
  • 361/362 - Intro Mathematical Statistics
  • 413/414 - Numerical Analysis
  • 521/522 - Advanced Calculus
  • 531/535 - Algebra
  • 621/622 - Analysis
  • 631/632 - Modern Algebra

Course groupings

Many courses fall naturally into groups:

Applied mathematics group:
  • Math 307 -
  • Math 320 - Intro to Differential Equations
  • Math 321 - Vector Analysis
  • Math 322 - Intro to Partial Differential Equations
  • Math 371 -
  • Math 405 - Mathematical Models and Applications
  • Math 431 - Modern Algebra with Applications
  • Math 520 -
  • Math 525 -
  • Math 581 - Intro to the Theory of Chaotic Dynamical Systems
  • Math 623 -
Computational mathematics group:
  • Math 313 - Linear Programming and Optimization
  • Math 314 - Mathematical Programing and Optimization
  • Math 413 - Introduction to Numerical Analysis
  • Math 414 - Numerical Analysis
  • Math 416 - Computational Linear Algebra
Probability and statistics group:
  • Math 471 - Introduction to the Theory of Probability
  • Math 571 - Introduction to Probability Models
  • MthStat 361 - Introduction to Mathematical Statistics I
  • MthStat 362 - Introduction to Mathematical Statistics II
  • MthStat 561 - Analysis of Variance
  • MthStat 562 - Design of Experiments
  • MthStat 563 - Regression Analysis
  • MthStat 564 - Time Series Analysis
  • MthStat 565 - Nonparametric Statistics
  • MthStat 568 - Multivariate Analysis
Pure mathematics:
  • Group I:
    • Math 521 - Advanced Calculus
    • Math 531 - Modern Algebra
    • Math 535 - Linear Algebra
    • Math 551 - Elementary Topology
  • Group II:
    • Math 451 - Axiomatic Geometry
    • Math 453 - Transformations in Geometry
    • Math 511 -
    • Math 522 - Advanced Calculus
    • Math 529 -
    • Math 537 - Number Theory
    • Math 553 - Differential Geometry
    • Math 555 -

Preparation for Graduate Work in Mathematical Sciences

It is recommended that students who plan to do graduate work in mathematical sciences complete as many as possible of the following courses: Math 521, 522, 531 and 535 (or 631 and 632), 551, and 623. Many graduate programs require reading knowledge of French, German, or Russian.