Math 109 Winter 2005 Class Schedule

Homework Assignments

Important Note: This schedule is only tentative, and may be adjusted as necessary during the quarter.

January

Monday Tuesday Wednesday Thursday Friday
3 4

Chs. 1 & 2

Introduction, symmetry, definition of a group

5 6

Ch. 2 & 3

Examples of groups, first two proofs

7
10 11

Ch. 4

Dihedral groups, begin subgroups

12 13

Chs. 5 and 11

Subgroups and generators, Lagrange's theorem

HW 1 due

14
17 18

Chs. 11 & 6

Corollaries of Lagrange's Theorem, Permutations

19 20

Ch. 6

More on permutations, alternating group

HW 2 due

21
24 25

Ch. 7

Isomorphisms and Homomorphisms

26

MIDTERM I

7-8:30 p.m. Location: TBA
27

Chs. 7 & 8

How to make Isomorphisms and Cayley's theorem

HW 3 due

28

February

Monday Tuesday Wednesday Thursday Friday
1

Chs. 10 & 12

Products and Quotients

2 3

Chs. 14 & 15

Conjugacy and quotient groups

HW 4 due

4
7 8

Ch. 16

Homomorphism theorems

9 10

Ch. 17

Actions, orbits, stabilizers

HW 5 due

11
14 15

Ch. 18

Counting orbits

16 17

Ch. 20

Sylow's theorems

HW 6 due

18
21 22

Examples of Sylow's theorems

23

MIDTERM II

7-8:30 p.m. Location: Herrin T175
24

Applications to physics, special relativity, Matrix groups

HW 7 due

25

March

Monday Tuesday Wednesday Thursday Friday
1

Applications to chemistry, representation theory

2 3

More representation theory

HW 8 due

4
7 8

Applications to Art

9 10

Applications to more math

11

FINAL DRAFT OF WRITING ASSIGNMENT DUE

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