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MAT 312/AMS 351: Applied Algebra
Stony Brook            Fall 2019 |
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| Dates | Topic | Read | Problem Set |
| 8/27, Tu - 8/29, Th | Mathematical induction (in recitations) | Sections 1.1-1.3 video lecture notes, more |
#1 solutions |
| Euclid's algorithm for gcd | |||
| Unique Factorization Theorem | |||
| 9/3, Tu - 9/5, Th | Modular arithmetic | Sections 1.4,1.5 | #2 solutions |
| 9/10, Tu - 9/12, Th | Euler's Theorem | Section 1.6 | #3 solutions |
| Public key cryptography | |||
| 9/17, Tu - 9/18, W | Review for Midterm I | Chapter 1 | none |
| 9/19, Th | Midterm I: info, exam, solutions | ||
| 9/24, Tu - 9/26, Th | Overview of Midterm I (in recitations) | ||
| Permutations | Sections 4.1,4.2 | #4 solutions | |
| 10/1, Tu - 10/3, Th | Introduction to groups | Section 4.3, pp200-206s video |
#5 solutions |
| 10/8, Tu - 10/10, Th | Structures of groups | Sections 5.1,5.2 video |
#6 solutions |
| 10/14, M - 10/15, Tu | no classes, no office hours | ||
| 10/16, W - 10/22, Tu | Small groups | Section 5.3 | #7 solutions |
| 10/23, W - 10/29, Tu | Groups and codes | Section 5.4 notes |
#8 solutions |
| 10/30, W - 10/31, Th | Review for Midterm II | Sections 4.1-4.3 Chapter 5 |
none |
| 11/5, Tu | Midterm II: info, exam, solutions | ||
| 11/5, Tu - 11/6, W | Overview of Midterm II (in recitations) | ||
| 11/7, Th - 11/13, W | Other algebraic structures | Sections 4.4,6.1 | #9 solutions |
| Polynomials | |||
| 11/14, Th - 11/20, W | Division and factorization | Sections 6.2,6.3 | #10 solutions |
| 11/21, Th - 11/26, Tu | Polynomials and codes | Sections 6.4,6.5 notes |
#11 solutions |
| 11/27, W - 11/29, F | no classes, no office hours | ||
| 12/3, Tu - 12/5, Th | Review for Final Exam | all of the above | none |
| 12/18, W | Final Exam, 11:15am-1:45pm | ||
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