# Mathematics, Master of Science (085)

**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

- One of the following:
- 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;* - 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.

- 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]
- 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.

- 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)] 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;* - 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.

- 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]
- 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

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

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

Required Courses | ||

MATH 431G | Intermediate Analysis I | 3 |

MATH 450G | Complex Variables | 3 |

MATH 417G | Algebraic Systems ^{1} | 3 |

or MATH 435G | Partial Differential Equations | |

or MATH 439G | Topology I | |

MATH 532 | Real Analysis | 3 |

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 Hours | 30 |

^{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.

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

Required Courses | ||

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

MATH 470G | Introduction to Operations Research ^{1} | 3 |

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

STAT 549 | Statistical Methods I | 3 |

MATH 406G | Numerical Analysis II | 3 |

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 Hours | 30 |

^{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.

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

Required Courses | ||

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

ECON 502 | Applied Microeconomic Theory | 3 |

ECON 503 | Applied Macroeconomic Theory | 3 |

STAT 549 | Statistical Methods I | 3 |

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

or MATH 482G | Probability & Statistics II | |

MATH 531 | Advanced Differential Equations | 3 |

or STAT 550 | Statistical Methods II | |

Electives | ||

Select 12 hours from the following: ^{1} | 12 | |

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 Hours | 30 |

^{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. |