# Program Requirements for Continuing Students

At the start of graduate studies, each student prepares a program of courses with a graduate academic counselor. A student cannot have more than one grade lower than a B in mathematics courses that are applied toward the degree. Students with two or more such grades must see an advisor before registering for further courses.

The Master of Science in Applied Mathematics offers two options:

Option I: Classical Mathematics

Option II: Computer Mathematics

Besides basic course requirements, each candidate must choose one of the following capstone experiences:

- The student registers for one elective credit in MTH 709, prepares a topic in mathematics and delivers a lecture on that topic.
- The student registers for four elective credits in MTH 707 and writes a thesis on a topic in mathematics.

## Option I: Classical Mathematics

### Required Courses (24 credits)

MTH 543 Ordinary Differential Equations and Special Functions (3)

MTH 553 Fourier Methods and Boundary Value Problems (3)

MTH 615, 616 Linear Algebra I, II (6)

MTH 627 Complex Analysis I (3)

MTH 631* Foundations of Analysis (3)

MTH 632* Applications of Analysis (3)

MTH 681 Numerical Methods I (3)

**Waived for a student who has previously earned credit in an equivalent course. Six approved elective credits will be substituted.*

### Electives Courses (13 credits)

A total of 13 credits, approved by the department, is required. These elective credits include the choice of capstone experiences as described above (1 or 4 credits). At least six elective credits must be in mathematics; others may be selected from one of the sciences.

## Option II: Computer Mathematics

While familiarity with at least one major programming language is desirable, it is not required. Algorithms presented in the required courses will be described in C++ or Java.

### Required Courses (18 credits)

MTH 512 Mathematical Logic and Information (3)

MTH 521 Linear Programming (3)

MTH 568 Mathematics Statistics (3)

MTH 615 Linear Algebra I (3)

MTH 631* Foundations of Analysis (3)

MTH 632* Applications of Analysis (3)

**Waived for a student who has previously earned credit in an equivalent course. Six approved elective credits will be substituted.*

### Electives Courses (19 credits)

A total of 19 credits, approved by the department, is required. These elective credits include the choice of capstone experiences as described above (1 or 4 credits). As many as nine elective credits, approved by the student’s graduate academic counselor, may be taken in the Computer Science Department.