# Mathematics Courses

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; no credit for those with credit in 2233 or 3013)

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

• 4013, Vector Calculus (F, S, Su)
• 4233, Intermediate Differential Equations (F, Su)
• 4263, Introduction to Partial Differential Equations (S, Su)
• 4283, Complex Variables (F)
• 4453, Mathematical Interest Theory (S, Su)
• 4513, Numerical Analysis (F)
• 4553, Linear and Non-linear Programming (S)
• 4583, Introduction to Mathematical Modeling (F)

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)
• 4023, Introduction to Modern Analysis (F, S, Su)
• 4033,  History of Mathematics (S)
• 4343, Introduction to Topology (S)
• 4403, Geometry (F)
• 4663, Combinatorial Mathematics (S)
• 4713, Number Theory (F)
• 4813, Groups and Representations (S)
• 4950, Problem Solving Seminar (F)

Advanced Undergraduate/Graduate Courses Carrying Automatic Honors Credit: these are our most advanced and rigorous undergraduate courses; 3 hours from this list is required for students wishing to earn Departmental Honors.

• 4063, Advanced Linear Algebra (F), same as 5023
• 4143, Advanced Calculus I (F), same as 5043
• 4153, Advanced Calculus II (S), same as 5053
• 4613, Modern Algebra I (F), same as 5003
• 4623, Modern Algebra II (S), same as 5013