Advanced Multivariable Calculus and Introductory Differential Geometry (MAT4318.01)

Andrew McIntyre

***Time Change***

This class will cover multivariable calculus as an advanced level: vector spaces, div, grad and curl, differential forms, and stokes’ theorems. The coverage will be at the level of Loomis and Sternberg’s Advanced Calculus. The course will also provide an introduction to the rudiments of differential geometry: connections, curvature, and the Gauss-Bonnet theorem. Applications will be made to Maxwell’s equations and to general relativity.

Prerequisites: MAT 2115 Introduction to Pure Mathematics, MAT 4145 Calculus: Analysis of the Infinite, MAT 4130 Calculus: Techniques & Applications, or permission of the instructor.
Credits: 4
M 4:10pm - 6:00pm; Th 4:10pm - 6:00pm
Maximum Enrollment: 12
This course is categorized as 4000, All courses, Andrew McIntyre, Four Credit, Mathematics, Updates.