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 upperdivision 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 upperdivision math credits. Students must complete at least 15 upperdivision 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 upperdivision 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). Upperdivision 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
 Math 521  Advanced Calculus
 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 
 Math 451  Axiomatic Geometry
 Group I:
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.