CDS 202
Geometry of Nonlinear Systems

Winter 2004

Course Schedule

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

Course Texts