MAT-431   Complex Variables 3 credits

Prerequisites: MAT-252 or MAT-361 or MAT-370.

A study of the calculus of functions of a complex variable. Topics include elementary functions, series representation, analytic functions, complex integration and conformal mappings.

MAT-441   Topology 3 credits

Prerequisites: MAT-252 or MAT-361 or MAT-370.

An introduction to the techniques and theorems of point-set topology and metric spaces. Topics include: cardinality, separation axioms, compactness, connectedness, continuity and finite products.

MAT-451   Real Analysis 3 credits

Prerequisites: MAT-252 or MAT-361 or MAT-370.

A study of the basic concepts of real analysis. Topics include limits, sequences, series, continuity, differentiation and integration.

MAT-461   Algebraic Structures 3 credits

Prerequisites: MAT-252 or MAT-361 or MAT-370.

An introduction to the study of abstract algebra. Topics will be primarily from the theory of groups and rings.

MAT-494   Independent Study 1 - 3 credits

Prerequisites: Permission

Research studies for qualified mathematics majors. See independent study guidelines.

MAT-497   Internship 1 - 3 credits

Prerequisites: Permission

Individually arranged programs of work and study with the department, academic institutions, private industries, or government agencies. See internship guidelines.

MAT-498   Upper-Division Seminar 1 - 3 credits

Prerequisites: Junior or Senior standing with major in mathematics.

Study of topics in mathematics not covered in previous mathematics courses. May be repeated for credit.