Reading  Topics  Homework  Annoucements  

Week 1  Chap 1.1, 1.2.  The set of all integers; mathematical induction. 
[p. 13] 2, 3, 4, 7.  
Week 2  Chap 1.3, 1.4.  Division algorithm and divisibility; basis representation theorem; greatest common divisor. 
[p. 16] 4, 8, 9, 11. [p. 23] 4, 5, 6, 7, 8. 
Quiz 1 
Week 3  Chap 1.6, 2.12.3.  Bézout's lemma; The Euclidean algorithm. 
Homework 3  Quiz 2 
Week 4  Chap 2.3, 2.4.  Prime numbers; Sieve of Eratosthenes; Fundamental Theorem of Arithmetic. 
Homework 4  Quiz 3 
Week 5  Chap 2.5.  Least common multiple; Solving linear Diophantine equations.  Homework 5  Quiz 4 
Week 6  Chap 3.1, 3.2, 3.3.  Fundamental of congruences.  Homework 6  Quiz 5 
Week 7  Chap 3.5  Theorems of Fermat, Euler, and Wilson.  Quiz 6  
Week 8  MidExam.  Midexam (Wed Feb 28th 12:30PM2PM) 

Week 9  Spring break  Homework 7  
Week 10  Chap 3.4.  Chinese Remainder Theorem.  Homework 8  Quiz 7 
Week 11  Chap 4.  Multiplicative arithmetic functions: Euler's totient, number of divisors, sum of divisors. 
Homework 9  Quiz 8 
Week 12  Chap 5.  Order of integers modulo n.  Homework 10  Meeting (Wed, SE271); Quiz 9 
Week 13  Chap 5.  Primitive roots.  Meeting (Wed, SE271); Presentation (Fri, FL404); Quiz 10 

Week 14  Chap 5.  Quadratic residues.  Quiz 11  
Week 15  Chap 6.  Legendre and Jacobi symbols.  Quiz 12 (Wed)  
Exam week (April 26 – May 2)  Final exam. 