Date |
Topic |
Required Reading |
Notes |
Assignments Out |
Slides |
8/23 |
Introduction, propositions, truth tables |
2.1 |
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8/25 |
Conditional statements |
2.2 |
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8/28 |
Valid and invalid arguments |
2.3 |
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Homework 1, due at the start of class on 9/6 |
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8/30 |
Valid and invalid arguments, continued |
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9/1 |
Conditional worlds |
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9/4 |
Labor Day |
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9/6 |
Conditional worlds, continued |
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Homework 2, due at the start of class on 9/13 |
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9/8 |
Proof practice |
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9/11 |
Predicates and quantifiers |
3.1 |
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9/13 |
Negations of quantified statements |
3.2 |
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Homework 3, due at the start of class on 9/20 |
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9/15 |
Statements with multiple quantifiers |
3.3 |
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9/18 |
Rules of inference with quantifiers |
3.4 |
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9/20 |
Proofs with quantified statements |
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Homework 4, due at the start of class on (Friday) 9/29 |
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9/22 |
Proof practice |
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9/25 |
The language of proofs, even and odd |
4.1 |
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9/27 |
More even and odd |
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9/29 |
Rational and divides |
4.2, 4.3 |
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Homework 5, due at the start of class on Wed 10/4 |
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10/2 |
Divides, quotient-remainder theorem |
4.4 |
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10/4 |
Proof by contradiction |
4.5 |
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10/6 |
Chapter 4 wrapup |
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10/9 |
Review for test |
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10/11 |
Sequences and summations |
5.1 |
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10/13 |
Induction I |
5.2 |
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Homework 6, due at the start of class on Fri 10/20 |
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10/16 |
Fall break |
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10/18 |
Induction II |
5.3 |
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10/20 |
Strong induction I |
5.4 |
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Homework 7, due at the start of class on Wed 10/25 |
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10/23 |
Strong induction II |
5.5 |
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10/25 |
Induction practice |
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10/27 |
Sets I |
6.1 |
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Homework 8, due at the start of class on Wed 11/1 |
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10/30 |
Sets II: Element proofs |
6.2 |
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11/1 |
Sets III: Algebraic proofs |
6.3 |
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11/3 |
Set practice problems |
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Homework 9, due at the start of class on Wed 11/8 |
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11/6 |
Functions intro |
7.1 |
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11/8 |
1-1 and onto |
7.2 |
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11/10 |
More 1-1 and onto |
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11/13 |
Function composition |
7.3 |
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Homework 10, due at the start of class on Mon 11/20 |
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11/15 |
Intro to probability and counting |
9.1 |
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11/17 |
Multiplication rule |
9.2 |
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11/20 |
Addition rule |
9.3 |
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11/22 |
Thanksgiving break |
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11/24 |
Thanksgiving break |
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11/27 |
Pigeonhole principle |
9.4 |
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Homework 11, due at the start of class on Fri 12/1 |
|
11/29 |
Combinations |
9.5 |
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12/1 |
More combinations |
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Homework 12, due at the start of class on Wed 12/6 |
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12/4 |
Relations I |
8.1, 8.2 |
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12/6 |
Relations II |
8.3 |
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