***This is a course guideline. Students should contact instructor for the updated information on current course syllabus, textbooks, and course content***
Prerequisites: MATH 2331
Course Description: Topics selected from logic, set theory, combinatorics, and graph theory.
Textbook: Discrete Mathematics and Its Applications, Kenneth H. Rosen , McGraw-Hill Publishing Co. (Fall 2019 and thereafter: 8TH ED. ISBN: 9781259676512)
Chapter I. The Foundations: Logic And Proof, Sets, And Functions
1.2 Propositional Equivalences
1.3 Predicates and Quantifiers
1.4 Nested Quantifiers
1.5 Methods of Proof
1.7 Set Operations
Chapter 3. Mathematical Reasoning, Induction And Recursion.
3.1 Proof Strategy
3.2 Sequences and Summations
3.3 Mathematical Induction
3.4 Recursive Definitions and Structural Induction
Chapter 2: The Fundamentals: Algorithms, The Integers, And Matrices
2.4 The Integers and Division
2.5 Integers and Algorithms
2.6 Applications of Number Theory
Chapter 4: Counting
4.1 The Basics of Counting
4.3 Permutations and Combinations
Chapter 6: Advanced Counting Techniques
6.1 Recurrence Relations
6.2 Solving Recurrence Relations
Chapter 7: Relations
7.1 Relations and Their Properties
7.3 Representing Relations
7.4 Closures of Relations
7.5 Equivalence Relations
7.6 Partial Orderings
Chapter 8: Graphs
8.1 Introduction to Graphs
8.2 Graph Terminology
8.3 Representing Graphs and Graph Isomorphism
8.5 Euler and Hamilton Paths
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