Classes

Review
Sheets 
Solutions 
Exams 
Lecture 1:
Introduction

Review
Sheet 1 
Solutions 
Midterm1 
Lecture
2: Mathematical Induction

Review
Sheet 2 

Midterm2 
Lecture
3: The Binomial Theorem



Midterm3 
Lecture
4: Rational and Irrational Numbers



Final 
Lecture
5: Two Problems; Division Algorithm




Lecture
6: Three Problems; GCD; Euclid's Lemma 



Lecture
7: Fundamental Theorem of Arithmetic; Euclidean Algorithm




Lecture
8: Fundamental Theorem of Arithmetic; Euclidean Algorithm; Problems




Lecture
9: Problems




Lecture
10: Fermat’s Little Theorem I




Lecture
11: Fermat’s Little Theorem II




Lecture
12: Applications of Fermat’s Little Theorem and Congruences




Lecture
13: Permutations




Lecture
14: Permutations; Groups I




Lecture
15: Groups II




Lecture
16: Groups III




Lecture
17: Groups IV; Subgroups I




Lecture
18: Subgroups II




Lecture
19: Subgroups III




Lecture
20: Lagrange's Theorem I




Lecture
21: Lagrange's Theorem II




Lecture
22: Isomorphisms of Groups I




Lecture
23: Isomorphisms of Groups II




Lecture
24: Homomorphisms and Isomorphisms




Lecture
25: List of Theorems




Lecture
26: Groups (Supplementary Topics); Commutative Rings I




Lecture
27: Commutative Rings II




Lecture
28: Fields; Polynomials




Lecture
29: Roots of Polynomials; GCD; Euclidean Algorithm




Lecture
30: Euclid's Lemma




Lecture
31: List of Theorems



