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