Discrete Mathematical Structures, Spring 2008

Instructor: Lucy Lifschitz


Date  Sections  Homework 
January 16,18 §1.1 Propositional Logic  p.16 ##2,6,12,16,23,27,32,46 
January 23,25  §1.2 Propositional Equivalences 
§1.3 Predicates and Quantifiers 
p.28 ##2,7,9,15,16,18,23,29 
p.46 ##2,5,7,11,13,17,,33 
Jan. 28,30 Feb. 1  §1.4 Nested Quantifiers 
§1.5 Rules of Inference 
p.58 ##1,3,9,19,24,27,31 
p.72 ##3,5,7,9,13,15,17,23 
February 4,6,8  §1.6 Introduction to Proofs 
§1.7 Proof Methods and Strategy ;
p.85 ##1,3,5,11,13,17,19,23,25,27,31 
p.102 ##3,7,11,12,15 
February 11,13,15  Review 
Midterm I, February 13 
 
 
 
February 18,20,22  §2.1 Sets 
§2.2 Set Operations 
p.119 ##1,19 
p.130 ##1,3,6,19,25,29 
February 25,27,29  §3.4 The Integers and Divison 
§3.5 Primes and GCD 
p.208 ##7,8,13,15,19,23 
p.217 ##3,13,15,17,18,21,23 
March 3,5,7  §3.6 Integers and Algorithms 
§3.7 Applications of Number Theory 
§4.1 Mathematical Induction 
p.229 ##1,3,23,50 
p.244 ##2(d,e,f),6,12,27 
p.279 ##3,5,15,21,31,33,56,72 
March 10,12,14 §5.1 The Basics of Counting 
§5.2 The Pigeonhole Principle 
p.344 ##2,7,8,9,15,16,19,30,33,34 
p.353 ##5,9,10,13,31 
March 24,26,28  Review 
Midterm II, March 28 
 
 
March 31, April 2,4  §5.3 Permutations and Combinations 
§5.4 Binomial Coefficients 
p.360 ##3,11,13,16,19,21,27 
p.369 ##3,7,15,24,31 
April 7,9,11  §9.2 Graph Terminology and Special Graphs 
§9.4 Connectivity 
p.609 ##4,5,6,10,21,23,24,43 
p.618 ##9,10; p.629 ##2,11,17 
April 14,16,18  §9.5 Euler and Hamilton Paths 
§9.6 Shortest-Path Problems 
p.643 ##5,6,7,8,18,26 
p.655 ##2,4,6,10 
April 21,23,25  §9.7 Planar Graphs 
§9.8 Graph Coloring 
p.665 ##2,3,4,5,8,13 
p.672 ##7,8,9,15 
April 28,30 May 2   
Review for the Final 
 
 
Final Exam: 2513-001, May 6, 8:00 - 10:00 am