# Mathematics, Master of Science (085)

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

**Program Coordinator**

Richard C. Schugart, richard.schugart@wku.edu, (270) 745-2947

The M.S. in Mathematics offers three concentrations: general mathematics, computational mathematics, and mathematical economics, but has a core set of courses in applied mathematics, discrete mathematics, and statistics required for all students. The general mathematics concentration 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 Mathematics (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 Mathematics Concentration

- One of the following:
- A minimum GAP score of 600 [GAP = (GRE-V + GRE-Q) + (Undergraduate GPA x 100)];
- A GRE score of at least 300;
- For students that graduate from WKU with a mathematics major, a GPA of at least 3.3 in their mathematics major.

- Completion of the following undergraduate courses:
- a calculus sequence through multivariable calculus;
- linear algebra;
- discrete mathematics;
- an applied mathematics course (e.g. differential equations, probability, calculus-based statistics, numerical analysis);
- abstract algebra, analysis, advanced calculus, or topology.

- A cumulative grade point average of 3.0 (on a 4.0 scale) in at least one of the following:
- all mathematics courses that are applicable to the undergraduate mathematics major;
- courses specified in (b) through (e) of Item 2 above.

### Computational Mathematics Concentration

- One of the following:
- A minimum GAP score of 600 [GAP = (GRE-V + GRE-Q) + (Undergraduate GPA x 100)];
- A GRE score of at least 300;
- For students that graduate from WKU with a mathematics major, a GPA of at least 3.3 in their mathematics major.

- Completion of the following undergraduate courses:
- one-year calculus sequence;
- linear algebra;
- discrete mathematics;
- one-year sequence of programming courses;
- B.A. degree with a major in either Computer Science, Engineering, Mathematics or Physics.

- A cumulative grade point average of at least 3.0 (on a 4.0 scale) in at least one of the following:
- all mathematics and computer science courses that are listed in (a) through (d) of Item 2 above; or
- 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

- One of the following:
- GRE score of at least 300 with a minimum quantitative score of 147
- WKU graduates majoring in mathematics, minimum GPA of 3.3 in the major
- WKU graduates majoring in mathematical economics, minimum GPA of 3.3 in the major
- 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).

- An undergraduate degree majoring in economics, mathematics, mathematical economics, or other related majors with completion of the following undergraduate courses:
- a calculus sequence through multivariable calculus
- discrete mathematics
- principles of microeconomics and macroeconomics
- one semester of junior- or senior-level probability theory
- differential equations

### Graduate School Admission

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

## Program Requirements (33 hours)

### General Mathematics Concentration

Code | Title | Hours |
---|---|---|

Required Courses | ||

MATH 431G | Intermediate Analysis I ^{1} | 3 |

MATH 531 | Advanced Differential Equations ^{1} | 3 |

or MATH 535 | Advanced Applied Mathematics- I | |

MATH 541 | Graph Theory ^{1} | 3 |

or MATH 542 | Advanced Topics in Discrete Mathematics | |

STAT 549 | Statistical Methods I ^{1} | 3 |

MATH 598 | Graduate Seminar: Communicating Mathematics and Technical Writing | 3 |

MATH 599 | Thesis/Research | 6 |

Electives | ||

Select 3 hours from the following: | 3 | |

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 | ||

Statistical Methods II | ||

Select 9 additional hours from the following: | 9 | |

Numerical Analysis I | ||

Numerical Analysis II | ||

Algebra and Number Theory | ||

Algebraic Systems | ||

Geometry II | ||

Partial Differential Equations | ||

Topology I | ||

Complex Variables | ||

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 ^{2} | ||

Statistical Methods II | ||

Total Hours | 33 |

### Computational Mathematics Concentration

Students in the computational mathematics concentration must have a working knowledge of a high-level programming language.

Code | Title | Hours |
---|---|---|

Required Courses | ||

MATH 405G | Numerical Analysis I ^{1} | 3 |

MATH 406G | Numerical Analysis II ^{1} | 3 |

MATH 531 | Advanced Differential Equations ^{1} | 3 |

or MATH 535 | Advanced Applied Mathematics- I | |

MATH 541 | Graph Theory ^{1} | 3 |

or MATH 542 | Advanced Topics in Discrete Mathematics | |

STAT 549 | Statistical Methods I ^{1} | 3 |

CS 549 | Analysis of Algorithms ^{1} | 3 |

MATH 598 | Graduate Seminar: Communicating Mathematics and Technical Writing | 3 |

MATH 599 | Thesis/Research | 6 |

Select one course from the following: ^{1} | 3 | |

Data Science | ||

Parallel and Distributed Computing | ||

Data Mining Techniques and Tools | ||

Electives | ||

Select 3 hours from the following: ^{1} | 3 | |

Intermediate Analysis I | ||

Partial Differential Equations | ||

Introduction to Operations Research | ||

Application of Technology to Problems in Mathematics | ||

Advanced Differential Equations | ||

Advanced Applied Mathematics- I | ||

Advanced Applied Mathematics- II | ||

Stochastic Processes | ||

Graph Theory | ||

Advanced Topics in Discrete Mathematics | ||

Topics in Operations Research | ||

Special Topics in Mathematics ^{2} | ||

Statistical Methods II | ||

Total Hours | 33 |

### Mathematical Economics Concentration

Code | Title | Hours |
---|---|---|

Required Courses | ||

MATH 431G | Intermediate Analysis I ^{1} | 3 |

or MATH 482G | Probability & Statistics II | |

MATH 531 | Advanced Differential Equations ^{1} | 3 |

or MATH 535 | Advanced Applied Mathematics- I | |

MATH 541 | Graph Theory ^{1} | 3 |

or MATH 542 | Advanced Topics in Discrete Mathematics | |

STAT 549 | Statistical Methods I ^{1} | 3 |

ECON 465G | Regression and Econometric Analysis ^{1} | 3 |

ECON 502 | Applied Microeconomic Theory ^{1} | 3 |

MATH 598 | Graduate Seminar: Communicating Mathematics and Technical Writing | 3 |

MATH 599 | Thesis/Research | 6 |

Electives | ||

Select 6 hours from the following: ^{1} | 6 | |

Numerical Analysis I | ||

Numerical Analysis II | ||

Intermediate Analysis I | ||

Partial Differential Equations | ||

Introduction to Operations Research | ||

Probability & Statistics II | ||

Applied Probability | ||

Advanced Differential Equations | ||

Real Analysis | ||

Advanced Applied Mathematics- I | ||

Advanced Applied Mathematics- II | ||

Stochastic Processes | ||

Graph Theory | ||

Advanced Topics in Discrete Mathematics | ||

Topics in Operations Research | ||

Special Topics in Mathematics ^{2} | ||

Statistical Methods II | ||

Total Hours | 33 |

^{1} | If classes with similar course content were taken at the undergraduate level, then the student must substitute appropriate graduate courses selected in consultation with a Mathematics Department graduate advisor. |

^{2} | With advisor approval. |