MAT 312/AMS 351, L01: Applied Algebra
Stony Brook Spring 2019 

Dates  Topic  Read  Problem Set 
1/28, M  2/4, M  Mathematical induction (in recitations)  Sections 1.11.3  
Euclid's algorithm for gcd  
Unique Factorization Theorem  
2/5, Tu  2/11, M  Modular arithmetic  Sections 1.4,1.5  
2/12, Tu  2/18, M  Euler's Theorem  Section 1.6  
Public key cryptography  
2/19, Tu  2/20, W  Review for Midterm I  Chapter 1  none 
2/21, Th  Midterm I (snow date: 2/26, Tu): info  
2/25, M  Overview of Midterm I  
2/26, Tu  3/4, M  Permutations  Sections 4.1,4.2  
3/5, Tu  3/11, M  Introduction to groups  Section 4.3, pp200206  
3/12, Tu  3/14, Th  Structures of groups  Sections 5.1,5.2  
3/18, M  3/21, Th  no classes, no office hours  
3/25, Mo  4/1, Mo  Small groups  Section 5.3  
4/2, Tu  4/8, Mo  Groups and codes  Section 5.4 notes 

4/9, Tu  4/10, W  Review for Midterm II  Sections 4.14.3 Chapter 5 
none 
4/11, Th  Midterm II: info  
4/15, M  Overview of Midterm II  
4/16, Tu  4/22, Mo  Other algebraic structures  Sections 4.4,6.1  
Polynomials  
4/23, Tu  4/29, Mo  Division and factorization  Sections 6.2,6.3  
4/30, Tu  5/6, Mo  Polynomials and codes  Sections 6.4,6.5 notes 

5/7, Tu  5/9, Th  Review for Final Exam  all of the above  none 
5/17, F  final exam, 11:15am1:45pm: info 