CS 215

DISCRETE MATHEMATICS

LECTURE NOTES & SLIDES

 

Week

Chapter

Tentative Topics

Assignment/Exam

1 1 Logic, Propositional Equivalences Ch-1.1.ppt Ch-1.1.pdf Ch-1.2.ppt Ch-1.2.pdf HW 1
2 1 Predicates and Quantifiers Ch-1.3-4.ppt Ch-1.3-4.pdf HW 2
3 1 Methods of Proof, Proof Strategy Ch-1.5.ppt Ch-1.5.pdf Ch-1.6-7.ppt Ch-1.6-7.pdf HW 3
4 2 Sets, Set Operations Ch-2.1.ppt Ch-2.1.pdf Ch-2.2.ppt Ch-2.2.pdf HW 4
5 2 Functions, Sequences and Summation Ch-2.3.ppt Ch-2.3.pdf Ch-2.4.ppt Ch-2.4.pdf HW 5
6 4 Mathematical Induction, Proofs by Induction Ch-4.1.ppt Ch-4.1.pdf HW 6, Project Group Formation Deadline
7 5 The Basics of Counting, Pigeonhole Principle, Permutations and Combinations, Binomial Coefficients Ch-5.1-4.ppt Ch-5.1-4.pdf Exam I & Project Assignment
8 6-7 Discrete Probability, Probability Theory, Expected Value and Variance, Recurrence Relations Ch-6.ppt Ch-6.pdf Ch-7.1.ppt Ch-7.1.pdf HW 7
9 3 Algorithms, Growth of Functions, Complexity of Algorithms Ch-3.1.ppt Ch-3.1.pdf Ch-3.2.ppt Ch-3.2.pdf Ch-3.3.ppt Ch-3.3.pdf HW 8
10 3 Integers and Division,  Applications of Number Theory, Integers and Algorithms, Matrices Ch-3.4-5.ppt Ch-3.4-5.pdf Ch-3.6-7.ppt Ch-3.6-7.pdf Ch-3.8.ppt Ch-3.8.pdf HW 9
11 8 Relations, n-ary Relations Ch-8.1.ppt Ch-8.1.pdf HW 10
12 8 Representing Relations, Closures, Equivalence Relations, Partial Orderings Ch-8.2-6.ppt Ch-8.2-6.pdf Exam II 
13 11

Boolean Functions, Representing Boolean Functions, Logic Gates

Ch-11.ppt Ch-11.pdf
HW 11