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: 2020-21

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 Courses

23

Mathematics Electives

23

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

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-


Mathematics Electives

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-

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 274

Introduction to Differential Equations

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-

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.

Code

Title

Hours

M 275

Differential Equations Computer Lab

1

M 363

Linear Optimization Laboratory

1

M 392

Independent Study

variable

M 418

Partial Differential Equations Computer Lab

1

M 492

Independent Study

variable

STAT 392

Independent Study

variable

STAT 457

Computer Data Analysis I

1

STAT 458

Computer Data Analysis II

1

STAT 492

Independent Study

variable

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.

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

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-