January 25 
Lecture 1: Proof, Set, Subset

4.1

January 27 
Lecture 2: Proposition, Predicate, Proof by Contradiction

1.1,
1.2,
1.8

January 30 
Lecture 3: Rational Numbers, Set, SetBuilder Notation,
Cardinality, Set Operations, Power Set

4.1,
5.1

February 01 
Lecture 4: Element Method,
Quantifiers,
Existential Proof,
Constructive Proof,
Proof by Cases

1.7,
3.6

February 03 
Lecture 5: Cartesian Product, Relation,
Properties of Relations,
Equivalence Relation,
Equivalence Class, Partition

4.2,
4.4,
9.11,
9.12

February 06 
Lecture 6: Function

4.3

February 08 
Lecture 7:
Injectivity,
Surjectivity,
Bijectivity,
Cardinality of Sets

4.4,
5.1,
5.2,
15.1

February 10 
Lecture 8:
Bijective Proof,
Induction I

15.1,
6.1

February 13 
Lecture 9:
Induction II,
Strong Induction

6.2,
6.3

February 15 
Lecture 10:
Divisibility,
Primes

2.3,
8.1

February 17 
Lecture 11:
Division Algorithm,
GCD,
Euclidean Algorithm,
Relative Primes

8.2,
8.3,
8.7

February 22 
Lecture 12: Modular Arithmetic I,
Congruence Properties

8.5

February 24 
Lecture 13: Modular Arithmetic II,
Fermat's Little Theorem

8.5

February 27 
Lecture 14: Modular Arithmetic III,
Euler's Totient Function,
Encryption

8.6,
8.7

March 01 
Lecture 15: RSA Encryption

8.8

March 03 
Lecture 16: Logical Operators,
Conditional,
Proposition,
Predicate,
Truth Tables

3.1,
3.3,
3.4

March 06 
Lecture 17: Biconditional,
Inverse,
Converse,
Contrapositive,
Tautology,
Contradiction,
Quantification II,
Logical Algebra

3.1,
3.3,
3.4

March 08 
Lecture 18: Combinatorial Circuits,
Binary Representation

Not in book!

March 10 
Lecture 19: HalfAdder,
FullAdder,
Ripple Adder

Not in book!

March 13 
Lecture 20: Feedback Circuits,
RS Latch,
Clocks

Not in book!

March 15 
Lecture 21: D Latch,
D Flipflop,
2bit Counter

Not in book!

March 17 
Lecture 22: Counting,
Permutations,
Factorials,
Binomial Coefficient,
Binomial Theorem

15.1,
15.3,
15.5,
15.7

March 20 
Lecture: Cancelled



March 22 
Lecture 23: Binomial Coefficient Properties,
Inclusion/Exclusion

15.12

March 24 
Lecture 24: Derangements,
Ice Cream Scoop Problem

Not in book!

April 03 
Lecture 25: Pigeonhole Principle,
Strong Pigeonhole Principle

15.10

April 05 
Lecture 26: Asymptotics,
BigO,
BigTheta,
BigOmega

14.7

April 07 
Lecture 27: Asymptotic Equality,
LittleO,
Stirling's Formula

14.5,
14.7

April 10 
Lecture 28: Probability,
Sample Space,
Event,
Distributions

17.1,
17.2,
17.3

April 12 
Lecture 29: Conditional Probability,
Independence

17.5,
17.6

April 14 
Lecture 30: Law of Total Probability,
Bayes' Rule,
Extended Bayes' Rule

17.5

April 17 
Lecture 31: The Monty Hall Problem

17.1

April 19 
Lecture 32: Random Variables,
Expected Value,
Binomial Random Variable,
Indicator Random Variable,
Linearity of Expectation

18.1,
18.2,
18.4,
18.5

April 21 
Lecture 33: Computational Complexity

Not in book!

April 24 
Lecture 34: Variance

18.3,
18.4

April 26 
Lecture 35: Graph Theory

11

April 28 
Lecture 36: PrÃ¼fer Code

Not in book!

May 01 
Lecture 37: Markov Chains

Not in book!
