| |
Mon |
Tue |
Wed |
Thu |
Fri |
Week 1
(Jan) |
4
Introduction,
Polar Coords
|
5
|
6
Motivation,
Dot
&
Cross
|
7
|
8
Differential forms,
Higher Rank,
Products
|
Week 2
(Jan) |
11
Determinants,
Pictures
|
12
|
13
Tensors,
Inner Products,
Polar Coords II
|
14
|
15
Bases,
Metric Tensor,
Signature
|
Week 3
(Jan) |
18
MLK Day
|
19
|
20
Higher Rank,
Orientation,
Schwarz Inequality
|
21
|
22
Hodge Dual,
Euclidean &
Minkowski Spaces,
|
Week 4
(Jan) |
25
Hodge Dual II,
Dot & Cross,
Pseudovectors
|
26
|
27
Gradient,
Exterior Deriv,
Div & Curl
|
28
|
29
Gradient,
Exterior Deriv,
Div & Curl
|
Week 5
(Feb) |
1
Laplacian,
Properties,
Product Rules
|
2
|
3
Orthogonal Coords,
Div, Grad, Curl
|
4
|
5
Maxwell's Eqs I,
Maxwell's Eqs II,
|
Week 6
(Feb) |
8
Maxwell's Eqs III
|
9
|
10
Review
|
11
|
12
Midterm
|
Week 7
(Feb) |
15
Go over midterm
|
16
|
17
Integrals,
Integrands,
Stokes' Theorem
|
18
|
19
Stokes' Theorem
Stokes' Corollaries,
|
Week 8
(Feb) |
22
Spheres,
Topology,
Polar Coords II
|
23
|
24
Vector Derivatives
Connections,
|
25
|
26
Connections,
Levi-Civita
|
Week 9
(Mar) |
1
Polar Coords III,
Curves,
Surfaces
|
2
|
3
Curvature,
Bianchi Identities
|
4
|
5
Geodesic Curvature,
Geodesic Triangles,
Gauss-Bonnet Thm
|
Week 10
(Mar) |
8
The Torus
|
9
|
10
TBA
|
11
|
12
Review
|
Finals
(Mar) |
15
|
16
Final
(12–1:50 PM)
|
17
|
18
|
19
|