Spring 2014
General Information
Syllabus and Homeworks
Exams
Syllabus
Below is the tentative syllabus for MAT 312/AM 351. It is subject to change.
Homeworks for very week shoudl be handed to your recitation instructor during the recitation next week (e.g., homework for week 1 shoudl be handed during recitation in week 2). It will be graded and returned to you the following week.
| Week | Sections covered | Homework |
| Jan 27 - 31 | 1.1 | 1, 2, 3, 4, 5, 6, 7 |
| Feb 3 - 7 | 1.2, 1.3 |
1.2: # 1, 2, 3, 6, 9, 12 1.3: # 1, 2,7, 8, 9 |
| Feb 10 - 14 | 1.4, 1.5 |
1.4: 2, 3, 5, 6, 7 and extra problem (see below) 1.5: 1, 2, 3, 5 |
| Feb 17 - 21 | 1.6 | 1,2,5,7,12 |
| Feb 24 - 28 | review; midterm 1 | |
| Mar 3 - 7 | 4.1, 4.3 |
HW for Lecture 1 4.3: 1,2,3,4, 6, 7 4.1: 1, 2 HW for Lecture 2 4.1: 1, 2, 4 4.2: 1, 2, 4, 7, 10 |
| Mar 10 - 14 | 4.1, 4.2 |
HW for Lecture 1 4.1: 3, 4 4.2: 1, 3, 4, 7, 9, 10 HW for Lecture 2 4.3 1, 2, 3, 4, 7, 8, 9 |
| Mar 17 - 21 | Sping break | |
| Mar 24 - 28 | 5.1 | 5.1: 1, 2, 3, 5, 7, 8, 9 |
| Mar 31 - Apr 4 | 5.2, 5.3 |
5.2: 1, 2, 3, 5 5.3: 1, 3, 4, 7 |
| Apr 7 - 11 | 5.4; notes on binary codes |
Exercises 1, 2, 3, in the Notes |
| Apr 14 - 18 | Review; midterm 2 |
|
| Apr 21 - 25 | 6.1, 6.2, 6.3 |
6.1: 2, 3 6.2: 1, 2 (i)--(iii), 3 6.3: 2, 4 (not the Z3 part). |
| Apr 28 - May 2 | 6.3, 6.4 |
6.3: 3, 4 (the Z3 part), 6, and extra problem (see below). |
| May 5 - 9 | 6.5; review for final |
Extra problem for 1.4:
Let A,B,C be integers such that A3+B3+C3 is a multiple of 7. Prove that then the product ABC is a multiple of 7.
Extra problem for 6.3:
For each pair of polynomials in Exercise 6.2 #3, find their least common multiple.