Math 481 XGR: Vector and Tensor Analysis


Introductory course in modern differential geometry focusing on examples, broadly aimed at students in mathematics, the sciences, and engineering. Emphasis on rigorously presented concepts, tools and ideas rather than on proofs. The topics covered include differentiable manifolds, tangent spaces and orientability; vector and tensor fields; differential forms; integration on manifolds and Generalized Stokes' Theorem; Riemannian metrics, Riemannian connections and geodesics. Applications to configuration and phase spaces, Maxwell equations and relativity theory will be discussed.

**Note: The XGR section is restricted to online non-degree, online MCS, online MSME, online MSCEE, and online MSAE students. To register for this course, please go to Engineering Online Registration.


Math 481 XGR syllabus.pdf


MATH 241 and one of Math 415 or Math 416 or equivalent.

Credit Hours: 3



This course has two 90-minute midterm tests and a 3-hour final exam.

Exam Information: 

All exams will be administered online. Detailed information about how to access exams will be available within the course LMS.