The mathematics named option programs allow students to develop a deep understanding of how the subject relates to other areas of human inquiry. The requirements for these programs feature mathematics courses with topics inspired by and commonly applied to problems in these associated fields. Though often paired with a second major in a related area, these programs function well alone and are suited to any mathematics student with a variety of interests. Students interested in a named option program are recommended to meet with an advisor to navigate the various plans and courses available to them. Advising information can be found on the BA or BS pages.

The named options do not support honors in the major.

The Mathematics for Data and Risk Analysis program requires 10 distinct courses for at least 30 credits as described below.  Note that while some courses may be used to fulfill more than one requirement it is still considered only a single course and may only contribute once to the total course count.  Finally, only one course from each of the following groupings may be used to fulfill course and credit requirements: Intro Linear Algebra (MATH 320MATH 340MATH 341MATH 375), Intro Differential Equations (MATH 319MATH 320 or MATH 376), and Intro Probability (MATH/​STAT  309 or MATH/​STAT  431).

Core Math Requirement (minimum of six distinct MATH courses for at least 18 credits)
Linear Algebra3-5
Linear Algebra and Differential Equations
Elementary Matrix and Linear Algebra
Linear Algebra
Topics in Multi-Variable Calculus and Linear Algebra
Probability (Complete at least one)3
Introduction to the Theory of Probability
Introduction to Probability and Mathematical Statistics I
Probability Theory
Statistics 13
Introduction to Probability and Mathematical Statistics II
Introduction to Theory and Methods of Mathematical Statistics II
Intermediate Mathematics Requirement (complete at least one)0-6
Applied Mathematical Analysis
and Applied Mathematical Analysis
Linear Algebra
Topics in Multi-Variable Calculus and Linear Algebra
The Theory of Single Variable Calculus
Advanced Mathematics Requirement (select one)3
Numerical Analysis
Analysis I
Probability Theory
Mathematical Methods in Data Science
Linear Algebra II
Elective to reach required six courses and 18 credits3-6
Select one or more from: 2
Numerical Linear Algebra
Numerical Analysis
Ordinary Differential Equations
Analysis I
Analysis II
Linear Optimization
Probability Theory
Mathematical Methods in Data Science
Linear Algebra II
Modern Algebra
Modern Algebra
Stochastic Methods for Biology
Analysis of Partial Differential Equations
Introduction to Fourier Analysis
Introduction to Measure and Integration
Introduction to Stochastic Processes
An Introduction to Brownian Motion and Stochastic Calculus
Remaining courses/credits may be selected from:
Techniques in Ordinary Differential Equations
Applied Mathematical Analysis
Applied Mathematical Analysis
Topics in Multi-Variable Calculus and Differential Equations
Applied Dynamical Systems, Chaos and Modeling
The Theory of Single Variable Calculus
Introduction to Combinatorial Optimization
Introduction to Cryptography
Applied Linear Algebra
Introduction to Number Theory
Introduction to Combinatorics
Data/Risk Requirement (Four Courses distinct from the above for at least 12 credits) 3
Select a distinct introduction course or sequence: 3-6
Actuarial Sciences:
Theory of Interest
Statistics:
Applied Regression Analysis
and Statistical Experimental Design
Data Science:
Introduction to Data Modeling II
and Statistical Experimental Design
Select remaining courses/credits from: 46-14
Actuarial Mathematics I
Actuarial Mathematics II
Loss Models I
Loss Models II
Regression and Time Series for Actuaries
Health Analytics
Machine Learning for Business Analytics
Introduction to Time Series
Introductory Nonparametric Statistics
An Introduction to Sample Survey Theory and Methods
Applied Categorical Data Analysis
Applied Multivariate Analysis
Financial Statistics
Introduction to Computational Statistics
Introduction to Combinatorics
Linear Optimization
Statistical Methods for Spatial Data
Introduction to Stochastic Processes
Statistical Methods for Clinical Trials
Statistical Methods for Epidemiology
Total Credits30

RESIDENCE AND QUALITY OF WORK

  • 2.000 GPA on all MATH courses and courses eligible for the major.5
  • 2.000 GPA on at least 15 credits of upper level credit in the major.6
  • 15 credits in MATH in the major taken on the UW-Madison campus.7

Footnotes

Sample Four-Year Plan

This Sample Four-Year Plan is a tool to assist students and their advisor(s). Students should use it—along with their DARS report, the Degree Planner, and Course Search & Enroll tools—to make their own four-year plan based on their placement scores, credit for transferred courses and approved examinations, and individual interests. As students become involved in athletics, honors, research, student organizations, study abroad, volunteer experiences, and/or work, they might adjust the order of their courses to accommodate these experiences. Students will likely revise their own four-year plan several times during college.

In general, your four year plan in mathematics should be organized along the following sequence: 1) Calculus, 2) Linear Algebra, 3) Required Intermediate level course, 4) Additional intermediate level courses as needed, 5) Required advanced level course, 6) Additional advanced level courses.

Freshman
FallCreditsSpringCredits
MATH 2215MATH 2224
Literature Breadth3Literature Breadth3
Communication A3Ethnic Studies3
Foreign Language if required4Foreign Language (if required)4
 15 14
Sophomore
FallCreditsSpringCredits
MATH 23414MATH Required Linear Algebra3
Humanities Breadth3MATH required Probability3
Communication B3Humanities Breadth3
Physical Science Breadth3Physical Science Breadth3
Elective3Elective3
 16 15
Junior
FallCreditsSpringCredits
MATH required Statistics3Required Intermediate MATH3
Data/Risk course3Data/Risk course3
Social Sciences Breadth3Social Science Breadth3
Biological Sciences Breadth3Biological Sciences Breadth3
Elective3Elective3
 15 15
Senior
FallCreditsSpringCredits
Required Advanced MATH3Advanced MATH Elective3
Data/Risk course3Data/Risk course3
Social Science Breadth3Social Science Breadth3
Elective3Elective3
Elective3Elective3
 15 15
Total Credits 120