Mathematics B.A. - 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: 2019-2020

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

Course List

Code

Title

Hours

Mathematics Core Courses

23

Upper-Division Mathematics Requirement

23

Upper-Division Elective Courses

Science Requirement

18

Foreign Language/Computer Science Requirement

3

Requirements for the Pure Mathematics Concentration (usually fulfilled with courses that count towards the Upper-Division Mathematics Requirement)

Total Hours

67


Mathematics Core Courses

Course List

Code

Title

Hours

Complete all of the following courses:

M 171

Calculus I

4

or M 181

Honors Calculus I

M 172

Calculus II

4

or M 182

Honors Calculus II

M 210

Introduction to Mathematical Software

3

M 221

Introduction to Linear Algebra

4

M 273

Multivariable Calculus

4

M 300

Undergraduate Mathematics Seminar

1

M 307

Introduction to Abstract Mathematics

3

Total Hours

23

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.

  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.

Course List

Code

Title

Hours

Complete 7 courses from the following list; at least 3 of them must be at the 400 level.:

M 301

Teaching Mathematics with Technology

M 311

Ordinary Differential Equations and Systems

M 325

Discrete Mathematics

M 326

Number Theory

M 361

Discrete Optimization

M 362

Linear Optimization

M 381

Advanced Calculus I

M 412

Partial Differential Equations

M 414

Deterministic Models

M 429

History of Mathematics

M 431

Abstract Algebra I

M 432

Abstract Algebra II

M 439

Euclidean and NonEuclidean Geometry

M 440

Numerical Analysis

M 445

Statistical, Dynamical, and Computational Modeling

M 461

Data Science Analytics

M 462

Theoretical Basics of Big Data Analytics and Real Time Computation Algorithms

M 472

Introduction to Complex Analysis

M 473

Introduction to Real Analysis

M 485

Graph Theory

STAT 341

Introduction to Probability and Statistics

STAT 421

Probability Theory

STAT 422

Mathematical Statistics

STAT 452

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.

Course List

Code

Title

Hours

M 317

Ordinary Differential Equations Computer Lab

1

M 363

Linear Optimization Laboratory

1

M 418

Partial Differential Equations Computer Lab

1

STAT 457

Computer Data Analysis I

1

STAT 458

Computer Data Analysis II

1

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.

Course List

Code

Title

Hours

Complete one of the following courses:

3

CSCI 100

Intro to Programming

CSCI 126

Computation in the Sciences with Calculus

CSCI 135

Fund of Computer Science I

CSCI 136

Fund of Computer Science II

Total Hours

3

Minimum Required Grade: C-


Requirements for the Pure Mathematics Concentration

Course List

Code

Title

Hours

Complete four of the following courses:

15-16

M 381

Advanced Calculus I

M 431

Abstract Algebra I

M 432

Abstract Algebra II

M 472

Introduction to Complex Analysis

M 473

Introduction to Real Analysis

Total Hours

15-16

Minimum Required Grade: C-