| |
Mon |
Tue |
Wed |
Thu |
Fri |
Week 1
(Jan) |
7
Introduction
|
8
|
9
No class
|
10
|
11
No class
|
Week 2
(Jan) |
14
Differential forms,
Dot
&
Cross
|
15
|
16
Polar Coords,
Higher Rank Forms,
Products
|
17
|
18
Determinants,
Pictures
|
Week 3
(Jan) |
21
MLK Day
|
22
|
23
Tensors,
Inner Products,
Polar Coords II
|
24
|
25
Bases,
Metric Tensor,
Signature
|
Week 4
(Jan/Feb) |
28
Higher Rank,
Schwarz Inequality
|
29
|
30
Orientation,
Hodge Dual
|
31
|
1
Euclidean Space,
Minkowski Space
|
Week 5
(Feb) |
4
Hodge Dual II,
Dot & Cross,
Pseudovectors
|
5
|
6
Gradient,
Exterior Deriv
|
7
|
8
Div & Curl,
Polar Laplacian
|
Week 6
(Feb) |
11
Properties,
Product Rules
|
12
|
13
Orthogonal Coords,
Div, Grad, Curl
|
14
|
15
Maxwell's Eqs I,
II
&
III
|
Week 7
(Feb) |
18
Midterm
|
19
|
20
Go over midterm
|
21
|
22
No class
|
Week 8
(Feb/Mar) |
25
Integrals,
Integrands,
Stokes' Theorem
|
26
|
27
Polar Coords II,
Vector-Valued Forms,
Vector Derivatives
|
28
|
1
Connections,
Levi-Civita
|
Week 9
(Mar) |
4
Polar Coords III,
Curves,
Surfaces
|
5
|
6
Curvature,
Bianchi Identities
|
7
|
8
Geodesic Curvature,
Geodesic Triangles,
Gauss-Bonnet Thm
|
Week 10
(Mar) |
11
The Torus
|
12
|
13
Topology
Corollaries of Stokes' Thm
|
14
|
15
Integration on the Sphere
|
Finals
(Mar) |
18
|
19
Final
(12–1:50 PM)
|
20
|
21
|
22
|