Time and Place : TuTh 11:30-12:50; Mathematics P131
Instructor : Radu Laza
Office : Math Tower 4-121
Email : radu.laza@stonybrook.edu
Office Hours: Thr 1:30-2:30, Thr 4-6
TA: Mu Zhao
Textbook
Week | Topic | Sections Covered | HW Assigments |
(1) Aug 29, 31 |
Division Algorithm & gcd ------------------------------------------ Induction |
1.1 ------------------------------------------ 1.2 |
|
(2) Sept 7 | Primes and Unique Factorization | 1.3 | HW1 (due Sept 14) |
(3) Sept 12, 14 | Congruence classes ------------------------------------------ Solving linear congruences |
1.4 ------------------------------------------ 1.5 |
HW2 (due Sept 21) |
(4) Sept 19, 21 | Euler's Theorem ------------------------------------------ Review (Chapter 1) |
1.6 | HW3 (due Sept 28) |
(5) Sept 26, 28 |
Midterm 1: Tuesday, Sept 26 (in class) ------------------------------------------ Permutations (1) |
Chapter 1 (Number theory) ------------------------------------------ 4.1 |
|
(6) Oct 3, 5 | Permutations (2) ------------------------------------------ Intro to Groups |
4.2 4.3 |
HW4 (due Oct 12) |
(7) Oct 10, 12 | Algebraic Structures | 4.4 | HW5 (due Oct 19) |
(8) Oct 17, 19 | Groups and Codes | 5.1 5.2 |
HW6 (due Oct 26) |
(9) Oct 24, 26 | Groups | 5.2 5.3 |
HW7 |
(10) Oct 31, Nov 2 |
Groups Review |
Ch. 5 | |
(11) Nov 7, 9 | Midterm 2: Tuesday, Nov 7 (in class) ------------------------------------------ Group and Codes |
Ch. 4, 5.1--5.3 ----------------------------- 5.4 |
HW8 (due Nov 16) |
(12) Nov 14, 16 | Polynomials | 5.4 6.1, 6.2 |
|
(13) Nov 21 | Factorization | 6.3 | HW9 (due Nov 28) |
(14) Nov 28, 30 | Polynomial congruence classes Cyclic Codes |
6.4 6.5 |
HW10 (due Dec 7) HW11* (due Dec 5) | (15) Dec 5, 7 | Review |