Weeks | Topics |
1 |
Manifolds and Vector Fields
|
2 |
Tensors and Exterior Forms
|
3 |
Integration of Differential Forms
|
4 |
The Lie Derivative
|
5 |
The Poincare Lemma and Potentials, Holonomic and Nonholonomic Constarints
|
6 |
R3 and Minkowski Space
|
7 |
The Geometry of Surfaces in R3
|
8 |
Midterm
|
9 |
Covariant Differentiation and Curvature
|
10 |
Geodesics
|
11 |
Relativity, Tensors and Curvature
|
12 |
Harmonic Forms
|
13 |
Lie Groups
|
14 |
Vector Bundles in Geometry and Physics
|