# Course Rotations

Mathematics courses may be divided roughly into two categories - pure and applied. But in fact many span both of these categories. The list below is perhaps best described as one of emphasis rather than categorization. The notation S means the course is (normally) offered every Spring; F means it is offered in the Fall; and Su means it has been recently offered in the Summer.

**Basic Courses:**

preparation for advanced study for all students

- 2233, Differential Equations (F, S, Su)
- 3013, Linear Algebra (F, S, Su)
- 3263, Linear Algebra and Differential Equations (S) (specifically designed for industrial engineers; only 6 hours combined from 2233, 3013 and 3263 may be used towards a degree)

**Applied Mathematics Courses:**

helpful for engineers and others seeking courses to assist in using mathematics to solve applied problems.

- 3583, Introduction to Mathematical Modeling (F)
- 4013, Calculus of Several Variables (F, S)
- 4233, Intermediate Differential Equations (F)
- 4263, Introduction to Partial Differential Equations (S)
- 4283, Complex Variables (F)
- 4423, Geometry and Algorithms in Three Dimensional Modeling (S)
- 4453, Mathematical Interest Theory (S)
- 4513, Numerical Analysis (F)
- 4553, Introduction to Optimization (S)
- 4663, Combinatorial Mathematics (S)
- 4753, Introduction to Cryptography (S)

**Pure Mathematics Courses:**

developing the student's ability to read and write proofs; emphasizing logic and rigorous reasoning, problem solving, and pattern recognition; important foundational courses for graduate study in mathematics.

- 3613, Introduction to Modern Algebra (F, S)
- 3933, Research Methods (S)
- 4023, Introduction to Analysis (F, S, Su)
- 4033, History of Mathematics (F)
- 4343, Introduction to Topology (S- Alternate years)
- 4403, Geometry (F)
- 4663, Combinatorial Mathematics (S)
- 4713, Number Theory (F)
- 4753, Introduction to Cryptography (S)
- 4813, Groups and Representations (S-Alternate years)

**Advanced Undergraduate/Graduate Courses Carrying Automatic Honors Credit:**

these are our most advanced and rigorous undergraduate courses; 3 hours from this list are required for students wishing to earn Departmental Honors.

- 4063, Advanced Linear Algebra (F, S), meets with MATH 5023
- 4143, Advanced Calculus I (F), meets with MATH 5043
- 4153, Advanced Calculus II (S), meets with MATH 5053
- 4613, Modern Algebra I (F), meets with MATH 5003
- 4623, Modern Algebra II (S), meets with MATH 5013