Week
|
Lec 1
|
Lec 2
|
Topic |
Reading |
Homework |
1
|
5 Jan (M)
|
N/A
|
Course introduction |
Boothby, Ch1 |
Syllabus |
2
|
7 Jan (W)
|
16 Jan (F)
|
Point set topology |
AMR,
Ch 1 |
HW 1 [solns] |
3
|
21 Jan (W)
|
23 Jan (F)
|
Manifolds, mappings, tangent space |
Boothby 3.1-3.3 |
HW 2 [solns] |
4
|
26 Jan (M)
|
28 Jan (W)
|
Inverse fcn thm, immersions, submersions |
Boothby 2.6-2.7, 3.4-3.5 |
HW 3 [solns] |
5
|
2 Feb (M)
|
4 Feb (W)
|
Tangent bundle, vector fields |
Boothby 4.1-4.4 |
HW 4 [solns] |
6
|
9 Feb (M)
|
11 Feb (W)
|
Distributions, Frobenius theorem |
Boothby 4.7-4.8 |
HW 5 [solns] |
7
|
18 Feb (W)
|
20 Feb (F)
|
Lie groups and Lie algebras |
Boothby 3.6-3.6, 4.6-4.7, AMR
Ch 4 |
HW 6 [solns] |
8
|
23 Feb (M)
|
25 Feb (W)
|
Tensor fields and exterior forms |
Boothby 5.1-5.3, 5.6-5.8 |
HW 7 [solns] |
9
|
1 Mar (M)
|
3 Mar (W)
|
Integration on manifolds |
Boothby 6.1-6.2, 6-4-6.5 |
HW 8 [solns] |
10
|
8 Mar (M)
|
10 Mar (W)
|
Applications and review |
none |
Final |