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Lectures | Topic(s) | Assignments | |
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January 7
January 12 |
Administration and course overview. Propositional logic.
Readings: Preface etc., 1.1 |
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January 14 |
Propositional equivalences.
Readings: 1.2 |
Homework 1
Solution (page 1, 2, 3) |
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January 19 |
Predicates and Quantifiers
Readings: 1.3 |
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January 21 (Guest lecturer: Hua Ai) |
Nested Quantifiers.
Readings: 1.4 |
Homework 2
Solution (page 1, 2, 3, 4, 5, 6) |
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January 26 |
Rules of Inference.
Readings: 1.5 |
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January 28 |
Introduction to Proofs.
Readings: 1.6, 1.7 |
Homework 3
Solution (page 1, 2, 3, 4) |
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February 2 |
Proof Methods and Strategy
Readings: 1.7 |
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February 4 |
Sets, Set Operations
Readings: 2.1, 2.2 |
Homework 4 (deadline extended to 2/16) Solution (page 1, 2) |
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February 9 (Pitt closed), 11 |
Set Identities, Functions.
Readings: 2.2, 2.3 |
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February 16 |
Functions
Readings: 2.3 |
Homework 5
Solution |
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February 18 |
Sequences and Summations.
Readings: 2.4 |
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February 23 |
Integers and Division
Readings: 3.4 |
Pseudo "Homework"
Solution (page 1, 2) |
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February 25 |
Exam Preview
Sample 50 minute exam; see also beginning of this sample exam |
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March 2 (NOTE DATE CHANGE DUE TO SNOW) |
Midterm Exam (Closed-book, NO makeups
Readings: Covers all material in Chapters 1, 2 |
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March 4 | Integers and Division, Primes |
Homework 6
Solution |
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March 16 | Exam Review, Primes, Induction | ||
March 18 |
Mathematical Induction
Reading: 4.1 |
Homework 7
Solution (page 1, 2) |
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March 23 |
Induction, Recursive Definitions
Reading: 4.2, 4.3 |
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March 25 | Recursion, Counting |
Homework 8
Solution (page 1, 2, 3) |
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March 30 | Counting, The Pigeonhole Principle | ||
April 1 | The Pigeonhole Principle, Permutations and Combinations |
Homework 9
Solution (page 1, 2, 3) |
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April 6 | Binomial Coefficients, Probability | ||
April 8 |
Probability
Readings: 6.1, 6.2 |
Homework 10
Solution (page 1, 2) |
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April 13 | Probability, Bayes | ||
April 15 | Bayes, Relations |
Homework 11
Solution (page 1, 2) |
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April 20 | Relations | ||
April 22 |
Relations, Exam Preview
preview, relevant parts of this sample exam; more sample questions |
Pseudo "Homework"
Solution (page 1, 2) |
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April 27, 10-11:50 |
Final Exam (Closed-book, NO makeups)
Readings: Covers all material since last exam |