MATH 3336 - Discrete Mathematics - University of Houston
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MATH 3336 - Discrete Mathematics

***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)

Core Material:

Chapter I. The Foundations: Logic and Proofs

  • 1.1 Propositional logic
  • 1.2 Applications of propositional logic
  • 1.3 Propositional equivalence
  • 1.4 Predicates and quantifiers
  • 1.5 Nested quantifiers
  • 1.6 Rules of inferences
  • 1.7 Introduction to proofs
  • 1.8 Proof methods and strategy


Chapter 2. Basic Structures: Sets, Functions, Sequences, Sums an Matrices

  • 2.1 Sets
  • 2.2 Set operations
  • 2.3 Functions
  • 2.4 Sequences and summations


Chapter 3. Algorithms

  • 3.1 Algorithms
  • 3.2 The growth of functions


Chapter 4: Number Theory and Cryptography

  • 4.1 Divisibility and modular arithmetic
  • 4.2 Integer representation and algorithms
  • 4.3 Primes and greatest common divisors
  • 4.4 Solving congruencies
  • 4.6 Cryptography*


Chapter 5: Induction and Recursion

  • 5.1 Mathematical induction
  • 5.2 Strong induction and well-ordering
  • 5.3 Recursive definitions and structural induction


Chapter 6: Counting

  • 6.1 The basics of counting
  • 6.2 The Pigeonhole principle
  • 6.3 Permutations and combinations
  • 6.5 Generalized permutations and combinations*


Chapter 8: Advanced Counting Techniques

  • 8.1 Application of recurrence relations
  • 8.2 Solving linear recurrence relations (* optional sections, cover as time allows)


Additional material (at least one of the following topics must be included in the syllabus)

  • 7. Discrete Probability
  • 9. Relations
  • 10. Graphs
  • 11. Trees
  • 12. Boolean Algebra




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Details of this policy, and the corresponding responsibilities of the student are outlined in The Student Academic Adjustments/Auxiliary Aids Policy (01.D.09) document under [STEP 4: Student Submission (5.4.1 & 5.4.2), Page 6]. For more information please visit the Center for Students with Disabilities Student Resources page.

Additionally, if a student is requesting a (CSD approved) testing accommodation, then the student will also complete a Request for Individualized Testing Accommodations (RITA) paper form to arrange for tests to be administered at the CSD office. CSD suggests that the student meet with their instructor during office hours and/or make an appointment to complete the RITA form to ensure confidentiality.

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