## GEOMETRY 2, FALL 2010

See here

### LECTURES

Sections.
15/11 Monday 1.1-1.3
16/11 Tuesday 1.4-1.6
19/11 Friday 1.7-1.8
22/11 Monday 2.1-2.3
23/11 Tuesday 2.4-2.7
26/11 Friday 2.8-2.10
29/11 Monday 3.1-3.5
30/11 Tuesday 3.6-3.8
4/12 Friday 3.9-3.10
6/12 Monday 4.1-4.3
7/12 Tuesday 4.3-4.5
10/12 Friday 4.6-4.8
13/12 Monday 5.1-5.5
14/12 Tuesday 5.4-5.8
17/12 Friday 5.9-5.10
20/12 Monday 6.1-6.2
21/12 Tuesday Cancelled
24/12 Friday Cancelled
3/1 Monday Cancelled
4/1 Tuesday Cancelled
7/1 Friday 6.3
10/1 Monday 6.4-6.5
11/1 Tuesday 6.6-6.7
14/1 Friday 6.8-6.9

### EXERCISE CLASSES

Exercise classes are used for problem solving, and for presentation of exam questions by participants preparing for the oral exam.
There are 12 problem programs P1-P12 and 8 exam questions, E1-E8.
16/11 Tuesday Cancelled
19/11 Friday P1
23/11 Tuesday P2
26/11 Friday P3
30/11 Tuesday P4+E1
4/12 Friday P5
7/12 Tuesday P6+E2
10/12 Friday P7
14/12 Tuesday P8+E3
17/12 Friday P9
21/12 Tuesday Cancelled
24/12 Friday Cancelled
4/1 Tuesday Cancelled
7/1 Friday P10+E4
11/1 Tuesday P11+E5
14/1 Friday P12+E6
18/1 Tuesday E7+E1+E2
21/1 Friday E8+E3+E4

### EXAM

28/1 Friday: Oral exam

### PROBLEM PROGRAMS

Problems are meant to cover the mentioned sections. The present links are to old programs which will be updated accordingly. Programs that have already been updated are marked Pn (n=1,2,..)
P1: 1.1-1.4 P1
P2: 1.5-1.8 P2
P3: 2.1-2.5 P3
P4: 2.6-2.10 P4
P5: 3.1-3.6 P5
P6: 3.7-3.10 P6
P7: 4.1-4.4 P7
P8: 4.5-4.8 P8
P9: 5.1-5.6 P9
P10: 5.7-5.10 P10
P11: 6.1-6.5 P11
P12: 6.6-6.9 P12

### EXAM QUESTIONS

E1: Manifolds in R^n
E2: Abstract manifolds. Projective space.
E3: The tangent space of an abstract manifold
E4: Submanifolds
E5: The orthogonal group
E6: Embedding in Euclidean space
E7: Lie bracket, Lie group, Lie algebra
E8: The Lie algebra of GL(n,R)