Pure Mathematics

This degree concentration differs from the BA in Mathematics without a concentration only in the Concentration Requirements.

Bachelor of Arts - Mathematics; Pure Mathematics Concentration

College of Humanities & Sciences

Degree Specific Credits: 68

Required Cumulative GPA: 2.0

Catalog Year: 2018-2019

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):

  • 44 credits for students completing a second major, and
  • 47 credits for students completing a minor.

Note 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.)

General Education Requirements

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

Summary

Mathematics Core Courses23
Upper-Division Mathematics Requirement23
Upper-Division Elective Courses
Science Requirement18
Foreign Language/Computer Science Requirement3
Requirements for the Pure Mathematics Concentration (usually fulfilled with courses that count towards the Upper-Division Mathematics Requirement)
Total Hours67

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-


Upper-Division Mathematics Requirement

Rule: Complete 23 credits in this category.

Note:

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

Minimum Required Grade: C-

Upper-Division Elective Courses

Note:

  1. Students completing a minor in another subject or a second major need take only 6 courses (totaling 18 credits or more).
  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.:
Mathematics Technology for Teachers
Ordinary Differential Equations and Systems
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 Theory
Mathematical Statistics
Statistical Methods II

Minimum Required Grade: C-

Upper-Division Elective Computer Labs

Rule: Computer labs from the following list are optional; if taken (0-2 credits), they count toward the total number of credits required for the Upper-Division Mathematics Requirement.

M 317Ordinary Differential Equations Computer Lab1
M 363Linear Optimization Laboratory1
M 418Partial Differential Equations Computer Lab1
STAT 457Computer Data Analysis I1
STAT 458Computer Data Analysis II1

Minimum Required Grade: C-


Science Requirement

Rule: 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).

Note:

  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.

Minimum Required Grade: C-


Foreign Language/Computer Science Requirement

Rule: Either complete the General Education Requirement "Group III: Modern and Classical Language" (not the symbolic systems exception), 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
Intro to Programming
Computation in the Sciences with Calculus
Fund of Computer Science I
Fund of Computer Science II
Total Hours3

Minimum Required Grade: C-


Requirements for the Pure Mathematics Concentration

Complete four of the following courses:15-16
Advanced Calculus I
Abstract Algebra I
Abstract Algebra II
Introduction to Complex Analysis
Introduction to Real Analysis
Total Hours15-16

Minimum Required Grade: C-