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  • Mathematics, M.S.
WVU Morgantown

Mathematics, M.S.

  • Overview
  • Areas of Emphasis
  • Learning Outcomes

Degree Requirements

  • Credit Hours: Students are required to complete a minimum of 31 credit hours in Mathematics at the 400, 500 or 600 levels. While some courses may fulfill several degree requirements, the same course cannot be used to fulfill more than one requirement.
  • Grade Point Average: Students must earn a minimum cumulative GPA of 2.75 and a minimum GPA of 3.0 in courses applied to the degree.
  • Area of Emphasis: Students must select between a Pure Mathematics or an Applied Mathematics area of emphasis by the end of their first year of study.
  • Master's Thesis: all students who have earned an overall GPA of 3.25 or higher may decide to write a thesis.
  • Completion Requirements:
    • Pure Mathematics AoE: In addition to completion of required coursework, students must pass the M.S. Advanced Exam by passing two subject areas from among Real Analysis, Algebra, Topology, and Differential Equations. Any exam can only be attempted three times.
    • Applied Mathematics AoE: In addition to completion of required coursework, students must present a project under the supervision of a faculty member, complete an internship and present an internship report, or complete a thesis. 

Curriculum Requirements

Course List
Code Title Hours
Foundation Courses7
MATH 543
Linear Algebra
MATH 551
Real Variables 1
or MATH 452
Introduction to Real Analysis 2
MATH 696
Graduate Seminar
Area of Emphasis12
Select one option:
Pure Mathematics
Applied Mathematics
Electives12
Select four courses in consultation with advisor:
MATH 521
Numerical Analysis
MATH 522
Numerical Solution of PDE
MATH 535
Foundations of Geometry
MATH 541
Modern Algebra 1
MATH 545
Number Theory 1
MATH 551
Real Variables 1
MATH 555
Complex Variables 1
MATH 563
Mathematical Modeling
MATH 564
Intermediate Differential Equations
MATH 567
Advanced Calculus 1
MATH 568
Advanced Calculus
MATH 571
Combinatorial Analysis 1
MATH 573
Graph Theory
MATH 578
Applied Discrete Mathematics
MATH 631
RUME 1: Introduction to Undergraduate Mathematics Education Research
MATH 641
Modern Algebra 2
MATH 645
Number Theory 2
MATH 651
Real Variables 2
MATH 681
Topology 2
MATH 683
Set Theory and Applications 1
MATH 697
Research *
STAT 512
Statistical Methods 2
STAT 513
Design of Experiments
STAT 516
Forensic Statistics
STAT 521
Statistical Analysis System Programming
STAT 522
Advanced Statistical Analysis System Programming
STAT 531
Sampling Theory and Methods
STAT 545
Applied Regression Analysis
STAT 555
Categorical Data Analysis
STAT 561
Theory of Probability and Statistics 1
STAT 562
Theory of Statistics 2
CS 510
Formal Specification of Language
CS 520
Advanced Analysis of Algorithms
CS 525
Computational Complexity
CS 572
Advanced Artificial Intelligence Techniques
CS 573
Advanced Data Mining
Total Hours31
*

3 credits maximum of MATH 697 may be used for students writing a thesis

Areas of Emphasis Offered:

  • Applied Mathematics
  • Pure Mathematics

Applied Mathematics Area of Emphasis

Course List
Code Title Hours
CORE COURSES:9
MATH 521
Numerical Analysis
MATH 563
Mathematical Modeling
MATH 564
Intermediate Differential Equations
COMPLEX VARIABLES ELECTIVE:3
Select one course:
MATH 456
Complex Variables
MATH 555
Complex Variables 1
MATH 568
Advanced Calculus
Total Hours12

 

Pure Mathematics Area of Emphasis

Course List
Code Title Hours
CORE COURSES:9
Select one sequence: *
MATH 541
& MATH 641
Modern Algebra 1
and Modern Algebra 2
MATH 551
& MATH 651
Real Variables 1
and Real Variables 2
MATH 581
& MATH 681
Topology 1
and Topology 2
Select one course from the following: *
MATH 541
Modern Algebra 1
MATH 551
Real Variables 1
MATH 581
Topology 1
ELECTIVES: *3
MATH 541
Modern Algebra 1
MATH 545
Number Theory 1
MATH 551
Real Variables 1
MATH 555
Complex Variables 1
MATH 564
Intermediate Differential Equations
MATH 571
Combinatorial Analysis 1
MATH 573
Graph Theory
MATH 581
Topology 1
Total Hours12
*

May not use a course used for another requirement.

Major Learning Outcomes

Mathematics

M.S. students are expected to:

  • Solve problems showing a conceptual and operational understanding of real analysis and linear algebra as evidenced by success in required coursework in these fields.
  • Read, analyze, and write logical arguments to prove mathematical concepts in advanced mathematics courses.
  • Communicate mathematical ideas with precision and clarity on written advanced exams or a research thesis.
  • Illustrate an understanding of professional tools used in the mathematical sciences by participation in the professional tools seminar.
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