Peter Blomgren
San Diego State University
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Math 245: Discrete Mathematics Fall 2006
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Evolving Schedule

Week # Tuesday Thusday
1 8/29/2006
First Meeting
[Notes #1]
8/31/2006
Logical Form and Logical Equivalence
[Notes #2]
2 9/5/2006
Conditional Statements
[Notes #3]
9/7/2006
Valid and Invalid Arguments
(Application: Digital Circuits)
[Notes #3] [HW #1]
3 9/12/2006
The Logic of Quantified Statements:
— Predicates and Quantified Statements
— Statements Containing Multiple Quantifiers
[Notes #4]
9/14/2006
The Logic of Quantified Statements
— Statements Containing Multiple Quantifiers
— Arguments with Quantified Statements
[Notes #4] [HW #2]
4 9/19/2006
K-maps; The Quine-McCluskey Method
[Notes #3.5] [HW #3]
9/21/2006
Elementary Number Theory and Methods of Proof
Direct Proof and Counterexample
[Notes #5]
5 9/26/2006
Elementary Number Theory and Methods of Proof
Direct Proof and Counterexample
[Notes #5] [HW #4]
9/28/2006
Floor and Ceiling
Proofs by Contradiction and Contraposition
[Notes #6]
6 10/3/2006
Floor and Ceiling
Proofs by Contradiction and Contraposition
[Notes #6] [HW #5]
10/5/2006
Midterm Review
7 10/10/2006
Midterm #1
10/12/2006
(Solutions)
8 10/17/2006
Sequences
[Notes #7] [HW #6]
10/19/2006
Mathematical Induction
[Notes #8]
9 10/24/2006
Mathematical Induction
[Notes #8] [HW #7]
10/26/2006
Set Theory: Basics
[Notes #9] [HW #8]
10 10/31/2006
Set Theory
[Notes #10]
11/2/2006
Counting and Probability
[Notes #10] [HW #9]
11 11/7/2006
Midterm Review
11/9/2006
Midterm #2
12 11/14/2006
Permutations, Addition Rule, Inclusion/Exclusion
[Notes #11] [HW #10]
11/16/2006
(Solutions)
13 11/21/2006
Combinations, Pascal's Triangle
[Notes #12]
11/23/2006
Thanksgiving
14 11/28/2006
Pascal's Triangle, Binomial Theorem
[Notes #12] [Exercises #11]
11/30/2006
Gambling Like a Mathematician
[Notes #13]
15 12/5/2006
Relations on Sets
[Notes #14]
12/7/2006
Review

Homework will be assigned.

Final Exam: Tuesday, December 12, 1p–3p.

Copyright © 2013 Peter Blomgren.