| Week | Day | Chapter | Topic | Suggested Exercise Problems | Homework
|
| 1 | March 30
April 1
April 3
| 2 A-B
2 C
3 A--D
| Mathematical Induction
The Binomial Theorem
The Division Theorem, Euclid's Algorithm, and Bezout's Identity
| Chapter 2: 1--6, 13--17, 26, 27, 30, 36--38
Chapter 3: 4, 5, 20, 25, 27, 28, 31, 34, 35, 41, 44, 45, 49--51
| Set #1: posted on CCLE
due April 9 (R)
|
| 2 | April 6
April 8
April 10
| 4 A
5 A--C
6 A--C
| The Fundamental Theorem of Arithmetic
Congruences
Congruence Classes
| Chapter 4: 4, 9, 14, 15, 18--21, 29
Chapter 5: 2, 3, 8, 15--18
| Set #2: posted on CCLE
due April 16 (R)
|
| 3 | April 13
April 15
April 17
| 6 E
7 A, C
7 D
| Units in Z/mZ
Rings and Fields
Ring Homomorphisms
| Chapter 6: 43, 47, 48, 53--55
Chapter 7: 10, 12--14, 22, 27, 31, 32, 37
| Set #3: posted on CCLE
due April 30 (R)
|
| 4 | April 20
April 22
April 24
| 8 E
-
-
| Error-Correcting Codes
Review
First Midterm
| Practice Midterm #1: posted on CCLE
|
|
| 5 | April 27
April 29
May 1
| 9 A-B
9 C, E
10 A-B
| Fermat's Little Theorem
Euler's Theorem
Applications of Euler's Theorem
| Chapter 9: 8--11, 25, 27--34, 42--45, 50, 51, 54, 58--60
| Set #4: posted on CCLE
due May 7 (R)
|
| 6 | May 4
May 6
May 8
| 12 A
12 D
13 A--D
| The Chinese Remainder Theorem
The Chinese Remainder Theorem and Ring Homomorphisms
Polynomials
| Chapter 12: 4--9, 11, 15, 16, 31, 50--53
Chapter 13: 1--6
| Set #5: posted on CCLE
due May 14 (R)
|
| 7
| May 11
May 13
May 15
| 14 A-B
14 C-D
15 F
| Divisibility in F[x]
Unique Factorization of Polynomials
The Fundamental Theorem of Algebra
| Chapter 14: 14--26, 30--33, 37, 38, 41--43, 46--48
Chapter 17: 1--3, 7, 10, 11, 17, 18
| Set #6: posted on CCLE
due May 28 (R)
|
| 8
| May 18
May 20
May 22
| 17 A
-
-
| Congruence Modulo a Polynomial
Review
Second Midterm
| Practice Midterm #2: posted on CCLE
|
|
| 9
| May 25
May 27
May 29
| -
23 B-C
23 D
| Memorial Day holiday
Congruence Classes and F[x]/(m(x))
Finding a Root of m(x) in F[x]/(m(x))
| Chapter 23: 9--11, 14--16
Chapter 24: 1, 2, 4, 5
| Set #7: posted on CCLE
due June 4 (R)
|
| 10
| June 1
June 3
June 5
| 24 A
24 B-C
-
| Minimal Polynomials
Finite Fields
Review
| Practice Final: posted on CCLE
|
|
| Finals | June 8 | | Final Exam from 11:30AM to 2:30PM
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