Discrete Mathematics

Instructor - Robert Hochberg 
Office-         STC C-121 
Phone-         328-9685 
Email-         hochberg@cs.ecu.edu
Text - Discrete Mathematics:  Elementary and Beyond, by Lovász, Pelikán and Vesztergombi
Office Hours
Monday: 3:30-5:00
Wednesday: 1-2pm and 3:30-6:00pm

 
The Discussion Board can be found here.  (Click on "Communication," then "Discussion Board".)
The syllabus can be found here.

Course Schedule
(subject to change)
Changes are shown in Red
Day
Material
Homework Due
Jan. 12
Notes on syllogisms.  Homework 1 (Due January 26) is near the end of the file, as is the play.
Notes on syllogisms  (rtf format --- not quite as good as the pdf above.)

Jan. 19
Logic.  Homework 2 (Due January 26) is near the end of the file.
Logic  (rtf format --- not quite as good as the pdf above.)
John Browning's Auxilliary notes  (Word format)

Jan. 26
Section 1.1 - Introduction to Counting
Standing Bosses game
Towers of Hanoi
Slides
Due Today:
Problems 1-7 from Jan. 12
Problems 1-10 from Jan. 19
Problems 2, 3, 8, 9 and 10 from Jan. 19.  Also, try #13 for extra credit.
Feb. 2
Bijection between positions in the standing bosses game and subsets
The addition rule for counting
The multiplication rule for counting
Factorials
Mixed problems requiring addition and multiplication rules
Due Today:
Read sections 1.1-1.6
Problems 1-10 from Jan 19.
(You may redo the problems due last week, or just stick with your old solutions.)
Also do These Problems
Feb. 9
Sections 1.2 - 1.3, Sets
Intro to Sets
Cartesian Products and Set Proofs
Venn Diagrams
Sections 1.5 - 1.6, Sequences and Permutations

Feb. 16
Sections 1.7-1.8, Ordered Subsets, Anagrams
And these notes
Distinct objects into distinct boxes
Identical objects into distinct boxes
Due Today:
Read sections 1.7 and 1.8
Problems:
1.8.8 - 1.8.22
1.8.25 - 1.8.26
Feb. 23
Binomial Coefficients, Choose numbers, Pascal's Triangle
Instructor's Notes

Due Today:
Read sections 2.1-2.3
Problems:
1.  Practice with Counting handout from Feb. 16,
2.  Problems 1-12 from the Exercises at the end of the Feb. 16 notes.
Nothing from the book this week.
March 2
Sections 2.1 - 2.3, Proofs by Induction,
Notes taken during class

Due Today:
Read sections 2.1-2.3 (again)
Problems:
1-4, 7-11, 13, 14 from the Feb. 23 instructor's notes, and 1.8.27 and 1.8.28 from the book.
(That's 13 problems altogether.)

March 9
Exam Review, More Induction, First Exam
Some Notes
Due Today:
Read sections 2.1-2.3 (yet again)
Problems:
2.5.1 - 2.5.4
(These are all proofs by induction, so please start early!)
March 16
Spring Break

March 23
Introduction to Probability
Notes taken during class
Some slides used in the class

March 30
Expected Value
Some slides used in the class
Notes taken during class
Due Today
These Problems
April 6
Introduction to Graph Theory
Notes taken during class
Due Today
These Problems
April 13
Review for Exam
Notes taken during class
Due Today
These Problems
April 20
Review of Test 2
Notes taken during class

Final Exam
April 27, 7:30-10:00pm
The usual room
Quizzes and Exams

Due Today
Read sections 8.1-8.4 in the text
Problems:  8.5.4-6 (3 problems total)
And these problems, which are basically sample final exam questions