University of Montana Catalog 2023-2024

Mathematics B.A.

This degree is the BA in Mathematics without a concentration. Students can add one or more of the concentrations in Applied Mathematics, Combinatorics & Optimization, Pure Mathematics, or Statistics and Data Science to this degree by fulfilling the respective Concentration Requirements (achieved by taking specific Upper-Division Elective Courses). Typically, students declare one of these four concentrations during their sophomore or junior year. Note that the requirements for the Mathematics Education concentration are extensive and differ substantially from the requirements for the other concentrations. Students interested in Mathematics Education are encouraged to declare this concentration as early as possible, preferably during their first year at UM.

Bachelor of Arts - Mathematics

General Education Requirements

Information regarding these requirements can be found in the General Education Section of the catalog. 


Mathematics Core Courses23
Mathematics Electives23
Science Requirement18
Language/Computer Science Requirement3
Total Hours67

Degree Specific Credits: 67

Required Cumulative GPA: 2.0

Note on degree specific credits: The degree specific credits are much lower for double-majors and for students completing an additional minor (in another subject):

  • 41 credits for students completing a second major, and
  • 46 credits for students completing a minor.

Notes on the GPA requirement:

  1. A cumulative GPA of 2.0 is required for all courses used to fulfill major requirements.
  2. In addition, a cumulative GPA of 2.0 is required for all mathematical sciences courses used to fulfill major requirements. (Mathematical sciences courses are those with a prefix of M or STAT.)

Mathematics Core Courses

Complete all of the following courses:
M 171Calculus I4
or M 181 Honors Calculus I
M 172Calculus II4
or M 182 Honors Calculus II
M 210Introduction to Mathematical Software3
M 221Introduction to Linear Algebra4
M 273Multivariable Calculus4
M 300Undergraduate Mathematics Seminar1
M 307Introduction to Abstract Mathematics3
Total Hours23

Minimum Required Grade: C-

Mathematics Electives

Rule: Complete 23 credits in this category.


  1. Students completing a minor (in another subject) need take only 20 credits.
  2. Students completing a second major need take only 18 credits.

Elective Courses


  1. Students completing a minor in another subject or a second major need take only 6 courses.
  2. Residency Requirement: At least 4 of the courses in this category must be taken at UM-Missoula (only 3 if M 307 is taken at UM-Missoula).
  3. Note that STAT 451 does not count toward this requirement.
  4. In addition to counting towards this requirement, M 429 (History of Mathematics) is also an advanced college writing course. Most Mathematics majors use M 429 to meet the advanced college writing general education requirement.
Complete 7 courses from the following list; at least 3 of them must be at the 400 level
Introduction to Differential Equations
Teaching Mathematics with Technology
Discrete Mathematics
Number Theory
Discrete Optimization
Linear Optimization
Advanced Calculus I
Partial Differential Equations
Deterministic Models
History of Mathematics
Abstract Algebra I
Abstract Algebra II
Euclidean and NonEuclidean Geometry
Numerical Analysis
Statistical, Dynamical, and Computational Modeling
Data Science Analytics
Theoretical Basics of Big Data Analytics and Real Time Computation Algorithms
Introduction to Complex Analysis
Introduction to Real Analysis
Graph Theory
Introduction to Probability and Statistics
Probability and Simulation
Probability Theory
Mathematical Statistics
Statistical Methods II

Minimum Required Grade: C-

Elective Computer Labs and Independent Study Courses

Rule: Computer labs and independent study courses from the following list are optional; if taken (0-2 credits), they count toward the total number of credits required for the Mathematics Elective requirement.

M 275Differential Equations Computer Lab1
M 363Linear Optimization Laboratory1
M 392Independent Study1-9
M 418Partial Differential Equations Computer Lab1
M 492Independent Study1-9
STAT 457Computer Data Analysis I1
STAT 458Computer Data Analysis II1

Minimum Required Grade: C-

Science Requirement


  1. Students completing a minor (in another subject) or a second major are exempt from this requirement.
  2. Transfer courses listed on the transcript as CSCI TR* may include course work in other areas such as Computer Applications (CAPP) and therefore do not count towards this requirement unless a student successfully petitions the Department of Mathematical Sciences.
Complete 18 credits in at most 3 areas selected from astronomy (ASTR), biology (BIO*), chemistry (CHMY), computer science (CSCI, except CSCI TR*), economics (ECNS), forestry (FORS, WILD), geosciences (GEO), management information systems (BMIS), and physics (PHSX).18
Total Hours18

Minimum Required Grade: C-

Language/Computer Science Requirement

Rule: Either complete the General Education Requirement Group III: Modern and Classical Language or take one course from the following list.

Note: Students completing a second major are exempt from this requirement.

Complete one of the following courses:3
Computation in the Sciences with Calculus
Introduction to Computer Science
Interdisciplinary Computer Science I
Interdisciplinary Computer Science II
Total Hours3

Minimum Required Grade: C-