Math 30a Fall 2009 WebPage

Date	Questions/problems	Answers	Comments
9/24	Practice Quiz 1.1	answers	Good job everyone! But it doesn't count.
10/1	Review problems	Answers, part A
10/7	Quiz 1 in class	Answers to Quiz 1
11/5	Practice Quiz 2		If you missed class, turn this in on Sunday.
11/5	Review for Quiz 2
11/8	Problem Session for quiz 2		Sunday 2-4pm.
11/12	Quiz 2 in class

Date

Questions/problems

Answers

Comments

9/24

Practice Quiz 1.1

answers

Good job everyone! But it doesn't count.

10/1

Review problems

Answers, part A

10/7

Quiz 1 in class

Answers to Quiz 1

11/5

Practice Quiz 2

If you missed class, turn this in on Sunday.

11/5

Review for Quiz 2

11/8

Problem Session for quiz 2

Sunday 2-4pm.

11/12

Quiz 2 in class

Dates of lectures	Description	Notes	Comments
	Notes on elementary group theory with table of contents.	Math 30a sec 1-18	Now complete.
8/27, 8/31	Sec 0: Sets and relations (p. 1-8 in book)	First day, Second day (preliminary), Complete sec 0 notes (renumbered)
9/2	Sec 1: Introduction and examples (p. 11-18 in book)	Section 1 notes
9/3	Sec 2: Binary operations (p. 20-25 in book)	Section 2 notes
9/9	Sec 3: Isomorphic binary structures (p. 28-33 in book)	Section 3 notes
9/10	Sec 4: Groups (p. 36-45 in book)	Section 4 notes	We finally get to groups
9/14	Discussion day	Worksheet 1
9/16	Sec 5: Subgroups (p. 49-55 in book)	Section 5 notes
9/17, 9/21	Sec 6: Cyclic groups (p. 59-65 in book)	Section 6 notes	We continue this on Monday.
9/23	Sec 7: Generating sets (p. 68-72 in book)	Section 7 notes extended. Also the symmetry of a square handout gives two examples.
9/23, 9/24, 9/29	Sec 8: Permutation groups (p. 75-83 in book)	Section 8 parts a,b,c which took us three days!
9/29, 9/30	Sec 9: Orbits, cycles and alternating group (p. 87-93 in book)	Section 9 part a orbits and cycles Section 9 part b	We will postpone section 10 until after the quiz
10/8	Sec 10: Cosets (p. 96-101 in book)	Section 10 Cosets and Lagrange
10/12	Sec 11: Direct product	Section 11a Direct product	The second half of this section will be covered later.
10/14	Sec 13: Homomorphisms	Section 13a, Section 13b
10/15	Sec 14: Factor groups	Section 14	This is the key idea of groups.
10/19,21	Sec 16: Group actions	Section 16 (notes by Max)	Prof. Lian
10/22	Sec 17a: Burnside's Theorem	Section 17a (notes by Max)	Prof. Lian
10/26	Sec 15: Simple groups	Section 15
10/28	Sec 17b: More on group actions	Section 17b
	Part 2 of the course: Rings and Fields	Notes on sec 18+	Continuously updated with table of contents
10/28	Sec 18a: Rings and Fields	Section 18a
11/02-04	Sec 18b: Rings and Fields, 19a: Integral domains	Section 18b and 19a Section 19b (chart)
11/05	Sec 20: Fermat and Euler	Section 20

Dates of lectures

Description

Notes

Comments

Notes on elementary group theory with table of contents.

Math 30a sec 1-18

Now complete.

8/27, 8/31

Sec 0: Sets and relations (p. 1-8 in book)

First day, Second day (preliminary), Complete sec 0 notes (renumbered)

9/2

Sec 1: Introduction and examples (p. 11-18 in book)

Section 1 notes

9/3

Sec 2: Binary operations (p. 20-25 in book)

Section 2 notes

9/9

Sec 3: Isomorphic binary structures (p. 28-33 in book)

Section 3 notes

9/10

Sec 4: Groups (p. 36-45 in book)

Section 4 notes

We finally get to groups

9/14

Discussion day

Worksheet 1

9/16

Sec 5: Subgroups (p. 49-55 in book)

Section 5 notes

9/17, 9/21

Sec 6: Cyclic groups (p. 59-65 in book)

Section 6 notes

We continue this on Monday.

9/23

Sec 7: Generating sets (p. 68-72 in book)

Section 7 notes extended. Also the symmetry of a square handout gives two examples.

9/23, 9/24, 9/29

Sec 8: Permutation groups (p. 75-83 in book)

Section 8 parts a,b,c which took us three days!

9/29, 9/30

Sec 9: Orbits, cycles and alternating group (p. 87-93 in book)

Section 9 part a orbits and cycles Section 9 part b

We will postpone section 10 until after the quiz

10/8

Sec 10: Cosets (p. 96-101 in book)

Section 10 Cosets and Lagrange

10/12

Sec 11: Direct product

Section 11a Direct product

The second half of this section will be covered later.

10/14

Sec 13: Homomorphisms

Section 13a, Section 13b

10/15

Sec 14: Factor groups

Section 14

This is the key idea of groups.

10/19,21

Sec 16: Group actions

Section 16 (notes by Max)

Prof. Lian

10/22

Sec 17a: Burnside's Theorem

Section 17a (notes by Max)

Prof. Lian

10/26

Sec 15: Simple groups

Section 15

10/28

Sec 17b: More on group actions

Section 17b

Part 2 of the course: Rings and Fields

Notes on sec 18+

Continuously updated with table of contents

10/28

Sec 18a: Rings and Fields

Section 18a

11/02-04

Sec 18b: Rings and Fields, 19a: Integral domains

Section 18b and 19a
Section 19b (chart)

11/05

Sec 20: Fermat and Euler

Section 20

Homework 1 (due Thursday, Sept 3, 2009.)
Homework 2 (due Thursday, Sept 10, 2009.)
Homework 3 (due Thursday, Sept 17, 2009.) answers to odd numbered problems
Homework 4 is: page 56 numbers 21, 22, 23, 26, 31, 32, 41, 54. (Do all these problems for next Thursday, Sept 24.)
There is no homework due the week of Sept 27. But look for a review sheet to be posted online!
optional HW5: Work out the problems on the last page of the review sheet. You get a small amount of extra credit.
HW 6 (due Thursday, Oct 15, 2009): sec 9, page 94, \# 13, 33, 34 sec 10, p. 101, \# 6, 7, 31, 32
discussion points: We will discuss these two questions in class: p. 103, \# 34, 37. Be prepared so you can participate in the discussion!
Homework 7 (due Thursday, Oct 29, 2009.)
Homework 8 (due Monday, Nov 2, 2009.)
Homework 9 (Now due Monday, Nov 9, 2009.)

	Home page: Kiyoshi Igusa	Started: March 31, 2009 Last modified: Nov 5, 2009
	Department: Mathematics	URL: `http://people.brandeis.edu/~igusa/Math30aF09/Math30aF2009.htm`