MA 421 - Tensor Calculus & Riemannian Geometry
- Credit Hours: 4R-0L-4C
- Term Available: Fall (Odd years)
- Graduate Studies Eligible: No
- Prerequisites: MA 330
- Corequisites: None
An introduction to the calculus of tensor fields and the local geometry of manifolds.Topics covered include: manifolds, tangent space, cotangent spaces, vector fields, differential forms, tensor fields, Riemannian metrics, covariant derivative and connections, parallel transport and geodesics, Ricci tensor, Riemannian curvature tensor. Applications will be given in physics (general relativity, mechanics, string theory) and engineering (continuum mechanics).