Syllabus
Discrete Mathematics

Discrete Mathematics

MATH-2405

Spring 2012
01/17/2012 - 05/13/2012

Course Information

Section 001
Lecture
TTh 12:50 - 14:35
RGC1 341
Anthony Vance

Office Hours

No office hours have been entered for this term

Course Requirements

Your grade will be based on the following.  Please note that dates are tentative, and may be changed as needed.

Test 1 - chapters 2 and 3 - Tuesday, February 14

Test 2 - Chapters 4 and 5 - Tuesday, March 27

Test 3 - Chapters 6, 7, 11 and 8 - Testing Center deadline Monday, April 23

Test 4 - Chapters 9 and 10 - Thursday, May 10

Homework: assigned in class, due on dates announced in class.

Readings

The Required Text:

Discrete Mathematics with Applications, 4th edition, by Susanna S. Epp, Thomson (Brooks/Cole), 2011, ISBN 0-495-39132-8

We will discuss sections 1.1-1.3, 2.1-2.4, 3.1-3.4, 4.1-4.4, 4.6, 4.7, 5.1-5.3, 5.6, 5.7, 6.1, 6.2, 7.1, 7.2, 11.1, 11.2, 8.1-8.3, 9.1-9.5, 9.7-9.9, 10.1 and 10.2

Course Subjects

The official ACC math department course description:

A course designed to prepare math, computer science and engineering majors for a background in abstraction, notation and critical thinking for the mathematics most directly related to computer science.  Topics include: logic, relations, functions, basic set theory, countability and counting arguments, proof techniques, mathematical induction, graph theory, combinatorics, discrete probability, recursion, recurrence relations, elementary number theory and graph theory.

 

Our TENTATIVE weekly schedule (subject to change):

Week 1: Introduction to mathematical notation and start logic (Chapter 1, start Chapter 2).

Weeks 2 and 3: More on logic (finish Chapter 2, start Chapter 3).

Week 4: Finish logic, start elementary number theory (finish Chapter 3, start Chapter 4).

Week 5: Test 1, more elementary number theory (more Chapter 4).

Week 6: More elementary number theory (more Chapter 4).

Week 7: Finish elementary number theory, sequences (finish Chapter 4, start Chapter 5).

Week 8: Mathematical induction, recursion (more Chapter 5).

Week 9: Recursion, start elementary set theory (finish Chapter 5, start Chapter 6).

Week 10: Test 2, more elementary set theory, start functions (finish Chapter 6, start Chapter 7).

Week 11: More on functions (finish Chapter 7, start Chapter 11).

Week 12: More on functions, start relations (finish Chapter 11, start Chapter 8).

Week 13: More on relations, start counting and discrete probability (finish Chapter 8, start Chapter 9).

Week 14: Test 3 deadline, more counting and discrete probability (more Chapter 9)

Week 15: Finish counting and discrete probability, start graphs (finish Chapter 9, start Chapter 10).

Week 16 Finish graphs (finish Chapter 10), Test 4.

Student Learning Outcomes/Learning Objectives

The official ACC math department common course objectives:

Upon completion of this course students should be able to do the following:

  • Discuss definitions and diagram strategies for potential proofs in logical sequential order without mathematical symbols (plain English).
  • Construct mathematical arguments using logical connectives and quantifiers.
  • Verify the correctness of an argument using symbolic logic and truth tables.
  • Construct proofs using direct proof, proof by contradiction, and proof by cases, or mathematical induction.
  • Solve problems using counting techniques and combinatorics.
  • Perform operations on discrete structures such as sets, functions, relations or sequences.
  • Solve problems involving recurrence relations and generating functions.
  • Construct functions and apply counting techniques on sets in the context of discrete probability.
  • Apply algorithms and use definitions to solve problems to proof statements in elementary number theory.