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MAT 312/AMS 351 Syllabus
Applied Algebra
Fall 2016
|
The
schedule for topics covered in lecture is as follows. You must
do
the assigned reading prior to lecture. This will make the lectures
more effective for you.
- Tuesday, August 30
Section 1.1 The division algorithm and greatest common divisors.
- Thursday, September 1
Section 1.2 Mathematical induction.
In-class Diagnostic Quiz.
- Tuesday, September 6
LABOR DAY. NO CLASS.
- Thursday, September 8
Section 1.3 Primes and the Unique Factorization Theorem.
Problem Set 1
due in lecture.
- Tuesday, September 13
Section 1.4 Congruence classes.
- Thursday, September 15
Section 1.5 Solving linear congruences.
Problem Set 2
due in lecture.
- Tuesday, September 20
Section 1.6 Euler's Theorem and public key codes.
- Thursday, September 22
Section 1.6 Euler's Theorem and public key codes.
Problem Set 3
due in lecture.
- Tuesday, September 27
REVIEW FOR MIDTERM 1
- Thursday, September 29
MIDTERM 1
- Tuesday, October 4
Section 4.1 Permutations.
- Thursday, October 6
Section 4.3 Definition and examples of groups.
Problem Set 4
due in lecture.
- Tuesday, October 11
Section 4.3 Definition and examples of groups.
- Thursday, October 13
Section 4.2 The order and sign of a permutation.
Problem Set 5
due in lecture.
- Tuesday, October 18
Section 5.1 Preliminaries on group theory.
- Thursday, October 20
Section 5.2 Cosets and Lagrange's Theorem.
Problem Set 6
due in lecture.
- Tuesday, October 25
REVIEW FOR MIDTERM 2
- Thursday, October 27
MIDTERM 2
- Tuesday, November 1
Section 5.3 Groups of small order.
- Thursday, November 3
Section 5.4 Error-detecting and error-correcting codes.
Problem Set 7
due in lecture.
- Tuesday, November 8
Binary Codes.
- Thursday, November 10
Section 6.1 Introduction to polynomials.
Problem Set 8
due in lecture.
- Tuesday, November 15
Section 6.2 The division algorithm for polynomials.
- Thursday, November 17
REVIEW FOR MIDTERM 3
Problem Set 9
due in lecture.
- Tuesday, November 22
MIDTERM 3
- Thursday, November 24
THANKSGIVING. NO CLASS.
- Tuesday, November 29
Section 6.3 Factorisation.
- Thursday, December 1
Section 6.4 Polynomial congruence classes.
Problem Set 10
due in lecture.
- Tuesday, December 6
Section 6.5 Cyclic codes.
- Thursday, December 8
FINAL REVIEW
Problem Set 11
due in lecture.
Back to my home page.
Jason Starr
4-108 Math Tower
Department of Mathematics
Stony Brook University
Stony Brook, NY 11794-3651
Phone: 631-632-8270
Fax: 631-632-7631
Jason Starr