Dec 26, 2024

Graduate Catalog 2006-07

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Graduate Catalog 2006-07 [ARCHIVED CATALOG]

Master of Science in Applied Mathematics

Advisor: See Mathematics Office,
Room 3319, Everett Tower

The Master of Science in Applied Mathematics emphasizes a broadly based study of the mathematical sciences, including statistics, differential equations, mathematical programming, and computer science. The use of mathematical models to study practical problems will be heavily stressed. Students receive broad training for professional employment in industry or government. Those completing this program will also be prepared to teach in the area of mathematical applications.

Admission Requirements

The entering student will be expected to have two years of calculus, including multivariate calculus and differential equations, a course in linear algebra, a course in probability, a course in advanced calculus, a knowledge of programming languages such as Pascal and FORTRAN, some experience with numerical methods, and a course in data structures. The courses at WMU which satisfy the admission requirements are: MATH 1220, 1230, 1700, 1710, 2720, (3740) or (2300 and 2740), 5700, (STAT 3620 or 5600), and CS 1110, 1120, (2010 or 3060). A promising student may be admitted with some deficiencies in these admission requirements. The missing work would then become an extra program requirement.

Program Requirements

1. Complete the following 25 or 26 semester hours of specified courses:

With the approval of the advisor, a student may substitute approved electives listed below for any of the specified courses above that were previously taken as an undergraduate.

MATH 5070 - Numerical Analysis I Credits: 3 hrs.
MATH 5740 - Advanced Differential Equations Credits: 3 hrs.
MATH 6020 - Mathematical Modeling I Credits: 3 hrs.
MATH 6070 - Numerical Analysis II Credits: 3 hrs.
MATH 6370 - Numerical Linear Algebra Credits: 3 hrs.
MATH 6900 - Seminar in Applied Mathematics Credits: 1-3 hrs.
This course may be repeated for credit.

Select Either:

IME 6100 - Linear Programming for Engineers Credits: 3 hrs.
or
MATH 6080 - Linear Programming Credits: 3 hrs.

And Either:

STAT 5620 - Statistical Theory Credits: 4 hrs.
or
STAT 6620 - Applied Linear Models Credits: 3 hrs.

Or Either:

STAT 5620 - Statistical Theory Credits: 4 hrs.
or
STAT 6640 - Design of Experiments I Credits: 3 hrs.

2. Complete at least 6 semester hours of approved electives

Which are different from the above courses.

Mathematics

MATH 5100 - Applied Matrix Algebra Credits: 3 hrs.
MATH 5270 - Differential Geometry of Curves and Surfaces Credits: 3 hrs.
MATH 5710 - Advanced Calculus II Credits: 3 hrs.
MATH 5720 - Vector Calculus and Complex Variables Credits: 4 hrs.
MATH 6050 - Optimization Credits: 3 hrs.
MATH 6090 - Studies in Applied Math Credits: 3 hrs.
This course may be repeated for credit.
MATH 6760 - Complex Analysis Credits: 3 hrs.
MATH 6900 - Seminar in Applied Mathematics Credits: 1-3 hrs.
This course may be repeated for credit.
MATH 6990 - Reading and Research Credits: 1-6 hrs.
This course may be repeated for credit.
MATH 7120 - Professional Field Experience Credits: 2-12 hrs.
This course may be repeated for credit.
STAT 6800 - SAS Programming Credits: 3 hrs.

Computer Science

CS 5270 - Theory of Computer Graphics Credits: 3 hrs.
CS 5800 - Theory of Computation II: Formal Languages Credits: 3 hrs.
CS 6310 - Advanced Data Structures Credits: 3 hrs.
CS 6800 - Theory of Formal Computation III: Computability and Complexity Credits: 3 hrs.

Industrial Engineering

IME 6110 - Deterministic Methods in Operations Research Credits: 3 hrs.

Statistics

STAT 5620 - Statistical Theory Credits: 4 hrs.
STAT 5660 - Nonparametric Statistical Methods Credits: 3 hrs.
STAT 6600 - Statistical Inference I Credits: 4 hrs.
STAT 6640 - Design of Experiments I Credits: 3 hrs.
STAT 6670 - Introduction to Random Processes Credits: 3 hrs.
STAT 6800 - SAS Programming Credits: 3 hrs.