CS 215

DISCRETE MATHEMATICS

LECTURE NOTES & SLIDES

 

Week

Chapter

Tentative Topics

Assignment/Exam

1 1 Logic, Propositional Equivalences, Predicates and Quantifiers
(Ch. 1.1.ppt)(Ch. 1.2.ppt)(Ch. 1.3-4.ppt)
(Ch. 1.1.pdf)(Ch. 1.2.pdf)(Ch. 1.3-4.pdf)
HW 1
2 1 Methods of Proof, Proof Strategy
(Ch.1.5.ppt) (Ch.1.6-7.ppt)
(Ch.1.5.pdf) (Ch.1.6-7.pdf)
CW 1
3 2 Sets, Set Operations
(Ch.2.1.ppt) (Ch.2.2.ppt)
(Ch.2.1.pdf) (Ch.2.2.pdf)
HW 2
4 2 Functions, Sequences and Summation
(Ch.2.3.ppt) (Ch.2.4.ppt)
(Ch.2.3.pdf) (Ch.2.4.pdf)
CW 2
5 3 Algorithms, Growth of Functions, Complexity of Algorithms
(Ch.3.1.ppt) (Ch.3.2.ppt) (Ch.3.3.ppt)
(Ch.3.1.pdf) (Ch.3.2.pdf) (Ch.3.3.pdf)
HW 3
6 3 Integers and Division,  Applications of Number Theory
(Ch.3.4-5.ppt)
(Ch.3.4-5.pdf)
CW 3, Project Group Formation Deadline
7 3 Integers and Algorithms, Matrices
(Ch.3.6-7.ppt) (Ch.3.8.ppt)
(Ch.3.6-7.pdf) (Ch.3.8.pdf)
Exam I & Project Assignment, HW4
8 4 Mathematical Induction, Proofs by Induction
(Ch.4.1.ppt)(Ch.4.1.pdf)
CW 4
9 5 The Basics of Counting, Pigeonhole Principle, Permutations and Combinations, Binomial Coefficients
(Ch.5.1-4.ppt)

(Ch.5.1-4.pdf)
HW 5
10 6-7 Discrete Probability, Probability Theory, Expected Value and Variance, Recurrence Relations
(Ch.6-7.ppt)
(Ch.6-7.pdf)
CW 5
11 8 Relations
(Ch.8.1.ppt)
(Ch.8.1.pdf)
HW 6
12 8 n-ary Relations, Representing Relations, Closures, Equivalence Relations, Partial Orderings
(Ch.8.2-6.ppt)

(Ch.8.2-6.pdf)
Exam II & CW 6
13 11 Boolean Functions, Representing Boolean Functions, Logic Gates
(Ch.11.ppt)
(Ch.11.pdf)
HW 7
14 12

Finite State Machines

(Ch.12.ppt)

(Ch.12.pdf)

CW 7