Course Calendar, Homework Assignments and Handouts

Lesson # Date Section Topics and Handouts Homework Assignments and Presentation Problems
1 01/18/10 18

Course Overview

Getting a candy name

Intro to Rings

Handout 1

Student Presentations (due Friday 01/22)

Section 18: 32, 38, 40, 41, 52, 53, 55

Homework assignments to be collected (due Monday 01/25)

Section 18: 6, 10, 11, 18, 19, 23, 24, 33, 44, 48, 50
2 01/20/10 18

Rings and Fields

Handout 2
3 01/22/10 18 Student Presentations
4 01/25/10 19

Integral Domains

Handout 3

Student Presentations (due Friday 01/29)

Section 19: 12, 23, 25, 26

Section 20: 6, 8, 19, 28, 29

Homework assignments to be collected (due Monday 02/01)

Section 19: 4, 10, 14, 17, 30

Section 20: 2, 4, 10, 12, 23, 24, 27, 30
5 01/27/10 20

Fermat's and Euler's theorems

Handout 4
6 01/20/10 19-20 Student Presentations
7 02/01/10 21

The field of quotients of an integral domain

Handout 5

Student Presentations (due Friday 02/05)

Section 22: 17, 24, 25, 27, 29-31

Homework Assignments to be collected (due Monday 02/08)

Section 21: 2, 4

Section 22: 4, 6, 8, 16, 20, 21, 22, 23, 28, 31

 
8 02/03/10 22

Rings of Polynomials

Handout 6
9 02/05/10 21-22 Student Presentations
10 02/08/10 23

Factorization of Polynomials over a Field

Handout 7

Student Presentations (due Friday 02/012)

Section 23: 34, 35, 36, 27-31

Homework Assignments not to be collected (due Monday 02/15)

You will be presenting the solutions in class, since I will be gone :(

Section 23: 3, 7, 11, 14, 15, 19, 21, 25

 
11 02/10/10 23 Factorization of Polynomials over a Field
12 02/12/10 23 Student Presentations
13 02/15/10 23 Discussing HW problems  
14 02/17/10  

Class Cancelled

  
15 02/19/10 26

Homomorphisms and Factor Rings

Handout 8

Problem Solving in class: Due Wednesday

Section 26: 1,3,9,10,12,20,25,27,29

16 02/22/10 26 Ideals
17 02/24/10 26 Problem Solving
18 02/26/10 1st Test (in class) Take home part will be distributed in class and will be due Monday, March 1st.
Spring break
19 03/22/10 27 Student presentations

Student Presentations (due Friday 04/02)

Section 45: 24, 25, 26, 27, 30, 31, 33

Homework Assignments (due Wednesday 03/31)

Section 45: 2, 3, 6, 9, 10, 16, 17, 21, 22, 23
20 03/24/10 45

UFD's

Handout
21 03/26/10 45 UFD's
  04/09/10 46 Students Presentations Section 46: 2,3,6,7,13,14,15,16,17,18,19,20
  04/14/10 29

Extension Fields

Handout

Homework Assignments (due Wednesday 04/21)

Section 29: 5, 6, 8, 11-13, 23, 25, 26

Student Presentations (due Friday,04/23)

Section 29: 29, 31, 33, 34, 35
  04/16/10 29 Extension Fields
  04/19/10 30 Vector Spaces
  04/21/10 30 Vector Spaces
  04/23/10 29 Student Presentations
  04/26/10 31 Algebraic Extensions

Homework (not to be collected)

We will discuss and present the following problems on Friday, last day of school. Please try to solve all of them and come and talk to me if anything is not clear.

Section 31:

3,9,11,19,23,25,27,28,29

Section 33:

1,2,4,8,9,10

Section 32:

4,5,6,8
  04/28/10 31 + 33

Algebraic Extensions Part 2

Finite Fields
  04/30/10 33 Finite Fields
  05/03/10 32 Geometric Constructions
  05/05/10 32 Geometric Constructions
Last day 05/07/10 Review Student Presentations-Review