Courses | Department of Mathematics


Schedule of Classes

Catalog Course Descriptions

View the Course Descriptions from the University Catalog

Fall 2022 Undergraduate Courses

MATH 4080 Differential Geometry - John Krueger

Textbook: "Elementary Differential Geometry", Andrew Pressley

Prerequisites: Linear Algebra (Math 2700), Multivariable Calculus (Math 2730), Real Analysis (Math 3000)

This course is an introduction to differential geometry. We will learn how to apply multivariable calculus and linear algebra to study curves and surfaces in three dimensional space. Topics include the Frenet apparatus for curves, isometries, the Gauss map, the fundamental forms for surfaces, and geodesics. In addition to being a beautiful area of pure mathematics, differential geometry also serves as a mathematical foundation to areas of theoretical physics such as general relativity.

Students who take this course will receive geometry or analysis credit towards their math major. This is a new class starting this year and will appear in the UNT 2022-23 catalog.

Fall 2023 Graduate Courses