If interested in the following course, see Prof. Finn in BL106 or email
david.finn@rose-hulman.edu
| MA 421 Tensor Calculus and Riemannian Geometry |
4 credits |
| Prerequisites: MA330, however it is very useful
to have had MA371 |
Course Description
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). |
| This course is a pre-requisite for PH 410 General Relativity to be offered in the
later in the year |
Variation of the Cover of Misner, Thorne and Wheeler's classic book "Gravitation".
|
A Visualization of
a Calabi-Yau Manifold - used in String Theory to Model High Energy Physics |
|
Grade: Determined by Weekly Homework, Weekly Quizzes and Attendance and Participation
|
|
