This is a rough schedule showing which topic we will cover
when.
All dates are subject to change.
The topic links refer to the
wiki version of
the text, which is not quite the same as the official
text...
(last update 2/12/17)
| Mon | Tue | Wed | Thu | Fri | |
|---|---|---|---|---|---|
| Week 1 (Jan) |
9 OSU closed |
10
|
11
Introduction,
Differential forms, Polar Coords |
12
|
13 Motivation, Dot & Cross |
| Week 2 (Jan) |
16 MLK Day |
17
|
18
Pix,
Tensors,
Higher Rank, Products, Det |
19
|
20
Inner Products,
Polar Coords IIa, Metric, Signature |
| Week 3 (Jan) |
23
Bases,
Higher Rank II, Schwarz Inequal |
24
|
25
Orientation,
Hodge Dual, Polar, Euclid, Minkowski |
26
|
27
Dot & Cross,
Pseudovectors, Hodge Dual II |
| Week 4 (Jan/Feb) |
30
Gradient,
Exterior Deriv, Div & Curl |
31
|
1
Properties,
Polar Laplacian Products II |
2
|
3 Exam 1 |
| Week 5 (Feb) |
6 Go over exam |
7
|
8 Orthog Coords, Div, Grad, Curl |
9
|
10 Integrals |
| Week 6 (Feb) |
13
Polar IIb,
Vector-Valued, Vector Derivs |
14
|
15 Connections, Levi-Civita |
16
|
17 Polar Coords III, Curves, Surfaces |
| Week 7 (Feb) |
20 Surfaces, Curvature |
21
|
22 Curvature Bianchi Identities |
23
|
24
Geod Curvature,
Geodesic Triangles, Gauss-Bonnet Thm |
| Week 8 (Feb/Mar) |
27 Topology |
28
|
1 The Torus Int on the Sphere |
2
|
3 Exam 2 |