Mathematics, Master of Science (085)

MathMS

http://www.wku.edu/math/


Program Coordinator

Dominic A. Lanphier, dominic.lanphier@wku.edu, (270) 745-6233

The M.S. in Mathematics offers three concentrations: general, computational mathematics, and mathematical economics. The general concentration requires traditional courses in analysis, algebra, topology, and applied mathematics, and is recommended for students who wish to obtain a Ph.D. degree, to teach in a community college, or to seek employment in industry with an emphasis on conceptual foundations. The computational mathematics concentration is designed for students seeking employment in industry with an emphasis on computational mathematics and/or computer science in addition to knowledge in traditional areas.  The mathematical economics concentration is designed for students seeking employment in industry with an emphasis on economics in addition to knowledge in traditional areas.  It is also designed for students who completed an undergraduate degree program in mathematical economics at WKU.

Concentration(s)

  • General (MAGN)
  • Computational Mathematics (MACM)
  • Mathematical Economics (MAME)

Joint Undergraduate Master's Program (JUMP)

This degree offers a Joint Undergraduate Master's Program (JUMP) which provides academically outstanding students the opportunity to complete both an undergraduate and graduate degree in approximately five years.  Contact the graduate program coordinator for additional information.

Program Admission

General Concentration

  1. One of the following:
    1. A minimum GAP score of 600 [GAP = (GRE-V + GRE-Q) + (Undergraduate GPA x 100)] or a minimum GAP score of 3000 for students who took the GRE prior to August 2011 [GAP = (GRE-V + GRE-Q) x Undergraduate GPA] *Students who took the GRE prior to 2002 should contact the graduate advisor of the program;
    2. A GRE score of at least 300;
    3. For students that graduate from WKU with a mathematics major, a GPA of at least 3.3 in their mathematics major.
  2. Completion of the following undergraduate courses:
    1. a calculus sequence through multivariable calculus;
    2. linear algebra;
    3. discrete  mathematics;
    4. an applied mathematics course (e.g. differential equations, probability, calculus-based statistics, numerical analysis);
    5. abstract algebra.
  3. A cumulative grade point average of 3.0 (on a 4.0 scale) in at least one of the following:
    1. all mathematics courses that are applicable to the undergraduate mathematics major;
    2. courses specified in (b) through (e) of Item 2 above.

Computational Mathematics Concentration

  1. One of the following:
    1. A minimum GAP score of 600 [GAP = (GRE-V + GRE-Q) + (Undergraduate GPA x 100)] or a minimum GAP score of 3000 for students who took the GRE prior to August 2011 [GAP = (GRE-V + GRE-Q) x Undergraduate GPA] *Students who took the GRE prior to 2002 should contact the graduate advisor of the program;
    2. A GRE score of at least 300;
    3. For students that graduate from WKU with a mathematics major, a GPA of at least 3.3 in their mathematics major.
  2. Completion of the following undergraduate courses:
    1. one year calculus sequence;
    2. linear algebra;
    3. discrete  mathematics;
    4. one year sequence of programming courses;
    5. B.A. degree with a major in either Computer Science, Engineering, Mathematics or Physics.
  3. A cumulative grade point average of at least 3.0 (on a 4.0 scale) in at least one of the following:
    1. all mathematics and computer science courses that are listed in (a) through (d) of Item 2 above; or
    2. all courses in the major listed in (e) of Item 2 above.  Students cannot enter the program if they have a deficiency in the courses listed in Item 2 above.

Mathematical Economics Concentration

  1. One of the following:
    1. GRE score of at least 300 with a minimum quantitative score of 147
    2. WKU graduates majoring in mathematics, minimum GPA of 3.3 in the major
    3. WKU graduates majoring in mathematical economics, minimum GPA of 3.3 in the major
    4. WKU graduates majoring in economics or business economics, minimum GPA of 3.3 in the major and 3.3 in courses listed below (2.a, b, d, and e).
  2. An undergraduate degree majoring in economics, mathematics, mathematical economics, or other related majors with completion of the following undergraduate courses:
    1. a calculus sequence through multivariable calculus
    2. discrete mathematics
    3. principles of microeconomics and macroeconomics
    4. one semester of junior or senior level probability theory
    5. differential equations

Please refer to the admission section of this catalog for Graduate School admission requirements.

Program Requirements (30 hours)

The Master of Science in Mathematics requires a minimum of 30 hours of graduate level mathematics courses. A research tool is required and may entail coursework beyond the 30 hours of mathematics. The research tool must be completed during the first 15 hours of coursework and may be fulfilled by a mathematics reading course such as MATH 598, a computer science course, a foreign language examination, or a research course in anther discipline which has a strong relation to mathematics as approved by the student's graduate advisor.  A maximum of 12 hours at the 400G level may be included on the program of study. 

A student may, upon prior approval of the Mathematics Department Graduate Committee, include in his/her program a maximum of 6 hours of coursework from a related field.  Comprehensive exams are required only for students who choose not to write a thesis.

General Concentration

Required Courses
MATH 431GIntermediate Analysis I3
MATH 450GComplex Variables3
MATH 417GAlgebraic Systems 13
or MATH 435G Partial Differential Equations
or MATH 439G Topology I
MATH 532Real Analysis3
or MATH 535 Advanced Applied Mathematics- I
or MATH 541 Graph Theory
or MATH 550 Complex Analysis
Electives
Select 18 hours from the following:18
Numerical Analysis I
Numerical Analysis II
Algebra and Number Theory
Algebraic Systems
Geometry II
Partial Differential Equations
Topology I
Introduction to Operations Research
Readings in Mathematics
Topics from Algebra
Applied Probability
Advanced Differential Equations
Real Analysis
Advanced Applied Mathematics- I
Advanced Applied Mathematics- II
Topology II
Stochastic Processes
Graph Theory
Advanced Topics in Discrete Mathematics
Complex Analysis
Topics in Operations Research
Special Topics in Mathematics
Graduate Seminar: Communicating Mathematics and Technical Writing
Thesis/Research 2
Statistical Methods I
Statistical Methods II
Total Hours30
1

If equivalent courses were taken at the undergraduate level, then the student must substitute appropriate graduate mathematics courses selected in consultation with a Mathematics Department graduate advisor.

2

Students who choose to write a thesis are required to complete 6 hours of MATH 599 and give an oral defense of the thesis.

Computational Mathematics Concentration

Students in the computational mathematics concentration must have a working knowledge of a high-level programming language. The computer science classes required in this option do not allow for additional courses in a related field.

Required Courses
MATH 405GNumerical Analysis I 13
MATH 470GIntroduction to Operations Research 13
CS 549Analysis of Algorithms 13
STAT 549Statistical Methods I3
MATH 406GNumerical Analysis II3
Select two courses from the following:6
Parallel and Distributed Computing
Data Mining Techniques and Tools
Advanced Topics/Computer Science 2
Electives
Select 9 hours from the following:9
Intermediate Analysis I
Application of Technology to Problems in Mathematics
Stochastic Processes
Graph Theory
Advanced Topics in Discrete Mathematics
Topics in Operations Research
Special Topics in Mathematics 2
Thesis/Research 3
Statistical Methods II
Total Hours30
1

 If equivalent courses were taken at the undergraduate level, then the student must substitute appropriate graduate mathematics courses selected in consultation with a mathematics department graduate advisor.

2

 With advisor approval.

3

 Students who choose to write a thesis are required to complete 6 hours of MATH 599 and give an oral defense of the thesis.

Mathematical Economics Concentration

Students in the computational mathematics concentration must have a working knowledge of a high-level programming language. The computer science classes required in this option do not allow for additional courses in a related field.  Comprehensive exams are not required.

Required Courses
ECON 465GRegression and Econometric Analysis 13
ECON 502Applied Microeconomic Theory3
ECON 503Applied Macroeconomic Theory3
STAT 549Statistical Methods I3
MATH 431GIntermediate Analysis I 13
or MATH 482G Probability & Statistics II
MATH 531Advanced Differential Equations3
or STAT 550 Statistical Methods II
Electives
Select 12 hours from the following: 112
Numerical Analysis I
Numerical Analysis II
Intermediate Analysis I
Introduction to Operations Research
Probability & Statistics II
Applied Probability
Advanced Differential Equations
Real Analysis
Stochastic Processes
Graph Theory
Advanced Topics in Discrete Mathematics
Topics in Operations Research
Special Topics in Mathematics 2
Graduate Seminar: Communicating Mathematics and Technical Writing 3
Thesis/Research 4
Statistical Methods II
Forecasting
Total Hours30
1

If equivalent courses were taken at the undergraduate level, then the student must substitute appropriate graduate mathematics courses selected in consultation with a mathematics department graduate advisor.

2

With advisor approval.

3

Required for non-thesis students.

4

Students who choose to write a thesis are required to complete 6 hours of MATH 599 and give an oral defense of the thesis.