Classes
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Review
Sheets |
Solutions |
Exams |
Lecture 1:
Introduction
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Review
Sheet 1 |
Solutions |
Midterm1 |
Lecture
2: Mathematical Induction
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Review
Sheet 2 |
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Midterm2 |
Lecture
3: The Binomial Theorem
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Midterm3 |
Lecture
4: Rational and Irrational Numbers
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Final |
Lecture
5: Two Problems; Division Algorithm
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6: Three Problems; GCD; Euclid's Lemma |
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Lecture
7: Fundamental Theorem of Arithmetic; Euclidean Algorithm
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Lecture
8: Fundamental Theorem of Arithmetic; Euclidean Algorithm; Problems
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Lecture
9: Problems
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Lecture
10: Fermat’s Little Theorem I
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Lecture
11: Fermat’s Little Theorem II
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Lecture
12: Applications of Fermat’s Little Theorem and Congruences
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Lecture
13: Permutations
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Lecture
14: Permutations; Groups I
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Lecture
15: Groups II
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Lecture
16: Groups III
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Lecture
17: Groups IV; Subgroups I
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Lecture
18: Subgroups II
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Lecture
19: Subgroups III
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Lecture
20: Lagrange's Theorem I
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Lecture
21: Lagrange's Theorem II
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Lecture
22: Isomorphisms of Groups I
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Lecture
23: Isomorphisms of Groups II
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Lecture
24: Homomorphisms and Isomorphisms
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Lecture
25: List of Theorems
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Lecture
26: Groups (Supplementary Topics); Commutative Rings I
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Lecture
27: Commutative Rings II
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Lecture
28: Fields; Polynomials
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Lecture
29: Roots of Polynomials; GCD; Euclidean Algorithm
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Lecture
30: Euclid's Lemma
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Lecture
31: List of Theorems
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