The Mathematics Major for Secondary Education named option requires at least 8 distinct courses for at least 24 credits as described below.  While a single courses may be used to fulfill more than one requirement, it will only contribute once to the total course/credit count.  Finally, at most one course from each of the following groupings may be used to fulfill the minimum course and credit requirement (i.e.: minimum of 8 courses and at least 24 credits): 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).

Requirements (minimum of eight distinct courses for at least 24 credits) 1
Linear Algebra3-5
Linear Algebra and Differential Equations
Elementary Matrix and Linear Algebra
Linear Algebra
Topics in Multi-Variable Calculus and Linear Algebra
Intermediate Mathematics Requirement (complete at least one)0-3
Linear Algebra
Topics in Multi-Variable Calculus and Linear Algebra
The Theory of Single Variable Calculus
Introduction to Number Theory
Analysis (complete at least one)0-3
The Theory of Single Variable Calculus
Analysis I
Modern Algebra (complete at least one)3
Linear Algebra II
Modern Algebra
Probability or Combinatorics (complete at least one)3
Introduction to the Theory of Probability
Introduction to Probability and Mathematical Statistics I
Introduction to Combinatorics
Probability Theory
Introduction to Probability and Mathematical Statistics II
Introduction to Statistical Methods
Accelerated Introduction to Statistical Methods
Introduction to Theory and Methods of Mathematical Statistics II
Introductory Applied Statistics for Engineers
Statistics: Measurement in Economics
History of Mathematics3
History of Mathematics
College Geometry I
Capstone course3
Mathematics for Secondary School Teachers
Advanced mathematics0-6
Additional advanced course if needed to reach at least two math courses above 500
Numerical Linear Algebra
Numerical Analysis
Ordinary Differential Equations
Analysis I
Probability Theory
Mathematical Methods in Data Science
Linear Algebra II
Modern Algebra
Modern Algebra
Elementary Topology
Differential Geometry
Modern Number Theory
Fundamentals of Set Theory
Mathematical Logic
Analysis of Partial Differential Equations
Introduction to Fourier Analysis
Introduction to Measure and Integration
Introduction to Stochastic Processes
Total Credits24


  • 2.000 GPA on all MATH courses and courses eligible for the major.2
  • 2.000 GPA on at least 15 credits of upper level credit in the major.3
  • 15 credits in MATH in the major taken on the UW-Madison campus.4



Course options below may have prerequisites outside of those listed for this program.


This includes any course with a MATH prefix (including those cross-listed with MATH) regardless of its appearance in the tables above as well as only those specific non-MATH courses listed in the tables above.


This includes all MATH courses (including those crosslisted with MATH) which are numbered 307 and above, regardless of appearing in the course lists above, as well as only those non-MATH courses which appear in the lists above and carry the advanced LAS designation.


This includes only those courses with a MATH prefix (or cross-listed with MATH) numbered 307 and above.

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 courses, 4) Additional intermediate level courses as needed, 5) Required advanced level course, 6) Additional advanced level courses.

MATH 2215MATH 2224
Literature Breadth3L&S Breadth - Literature3
Communication A3Ethnic Studies3
Foreign Language (if required)4Foreign Language (if required)4
 15 14
MATH 23414MATH Required Linear Algebra3
Humanities Breadth3MATH Required Probability or Combinatorics3
Communication B3Humanities Breadth3
Physical Science Breadth3Physical Science Breadth3
 16 15
MATH 4613MATH Required Statistics3
MATH Required Analysis3MATH Required History of Mathematics3
Social Sciences Breadth3Social Science Breadth3
Biological Sciences Breadth3Biological Sciences Breadth3
 15 15
MATH Required Algebra3MATH Required Advance course or Elective3
Elective3MATH/​CURRIC  4713
Social Science Breadth3Social Science Breadth3
 15 15
Total Credits 120



Students should declare their major upon the successful completion of this course