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