ALTERNATIVE PROGRAM
FOR THE MS IN APPLIED MATHEMATICS

This is the alternative program for the MS in applied mathematics which we will gradually phase into. The chief difference between this and the old program is a core curriculum and a project. We have compiled a list of example projects.

Applied Mathematics Concentration

The applied mathematics option provides training in mathematical techniques applicable to a wide range of real-world problems. The objective of this program is to train the student to develop and analyze mathematical models for phenomena that arise in the physical, biological, and social sciences as well as engineering engineering. The program is designed not only for those with undergraduate training in mathematics but also for those with degrees in related fields who wish to work in applied mathematics.

Applicants for this program should have completed undergraduate courses in multivariable calculus, linear or matrix algebra equivalent to MTH 355, and ordinary differential equations. Courses in complex analysis, partial differential equations, and physics are recommended. Students should also have knowledge of a high-level programming language.

In addition to the requirements of the School of Graduate Studies, the following departmental requirements must be met to earn a degree under this option:

Students who have not, prior to admission, completed two quarters or one semester of real variables course work comparable to MTH 431 and 432 are required to take MTH 631 and 632 as program electives.

The project is meant as a practicum and should be completed as a collaboration with an industrial contact.

Full-time students normally take two years to complete this program.

R. Required Core Courses-- 15 credits

MTH 606 Mathematical Modeling
MTH 607 Optimization Techniques
MTH 680 Methods of Applied Mathematics: Geometric Methods
MTH 681 Methods of Applied Mathematics: Diff. Equations
MTH 682 Methods of Applied Mathematics: Integral Methods

A. Advanced Courses-- 12 credits

MTH 716 Numerical Analysis I
MTH 717 Numerical Analysis II
MTH 718 Numerical Methods III
MTH 730 Principles of Analysis
MTH 731 Real Analysis I
MTH 732 Real Analysis II
MTH 777 Applied Analysis I
MTH 778 Applied Analysis II
STT 702 Applied Stochastic Processes

E. Electives-- 10 - 12 credits

are to be chosen from the following courses:
MTH 532 Complex Variables
MTH 533 Partial Differential Equations
MTH 616 Matrix Computations
MTH 619 Cryptography and Data Security
MTH 633 Real Variables III
MTH 634 Introduction to Complex Analysis
MTH 650 Discrete Algebraic Structures
MTH 658 Coding Theory
MTH 658 Applied Graph Theory
MTH 659 Combinatorial Tools for Computer Science
STT 611 Applied Time Series
STT 661 Theory of Statistics I
STT 662 Theory of Statistics II

or, from any of the courses in A.,

or, with permission, from courses outside the department of Mathematics and Statistics.

P. Project -- 6 - 8 credits

Total 45 credits