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.
  
  

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