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 |