| Tuesday |
Thursday |
| 9/2
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9/4
- Read: Sections 1.5-1.7.
- Video lecture:
Operations on sets
- Self-check problems:
- Section 1.5: 1abc, 3ad
- Section 1.6: 1acd, 5
- Quiz: Self-check problems from Sections 1.1 and 1.2.
- Journal check-in: due Friday on Gradescope. If you
want to use LaTex, you can use this starter code
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9/9
Read: Sections 2.1-2.3.
Video: Introduction to logic
Self-check problems:
- Section 2.2:1, 3, 5, 7, 9, 11
- Section 2.3: 1, 3, 5, 7, 9, 11
Homework 1 due.
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9/11
Read: 2.7-2.10.
Video:
Quantifiers and negation
Self-check problems:
- Section 2.7: 1
- Section 2.9: 3, 5, 7
- Section 2.10: 1, 3
Quiz: Sections 1.5-1.7.
Journal check-in: due Friday on Gradescope.
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9/16
Read: Page 115, Pages 118-120, Section 5.3.
Video:
Introduction to direct proof: even and odd integers
Self-check problems:
Homework 2 due.
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9/18
Read: Page 121 - first proposition on Page 122,
Sections 8.1-8.3..
Video:
Examples of direct proof: divisibility and sets
Self-check problems:
- Chapter 4: 7, 11
- Chapter 8: 1, 7
Quiz: Quantifiers and negations: problems like the
self-check problems from Sections 2.7, 2.9, 2.10.
Journal check-in: due Friday on Gradescope.
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9/23
Read: Sections 5.1, 6.1, and 6.2.
Video:
Proof by contrapositive and contradiction compared
Video:
The square root of 2 is irrational
Self-check problems:
Homework 3 due.
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9/25
Read:Section 5.2 for more on congruence and page 31
for another proof of (part of) the division algorithm.
Video:
Division algorithm: examples
Video:
Division algorithm: proof
Self-check problems:
Quiz: One direct proof like the self-check
problems from Chapter 4 or 8.
Journal check-in: due Friday on Gradescope.
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9/30
Read: Section 10.4 in Hammack's Discrete Mathematics.
Video:
Euclidean algorithm: Examples
Video:
Euclidean algorithm: proof
Self-check problems:
Homework 4 due.
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10/2
Read: Section 10.1.
Video:
Induction divisibility example
Self-check problems:
- Chapter 10: 1, 9, 17. (All of the
odd-numbered problems 1-21 are great practice.)
Quiz: One proof like a problem from Homework 4.
Journal check-in: due Friday on Gradescope.
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10/7
Self-check problems:
Homework 5 due.
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10/9 Exam I
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10/14 Break!
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10/16
Read: Sections 11.1-11.4.
Video: Introduction to relations
Self-check problems:
- Chapter 11.2: 1, 3.
- Chapter 11.3: 1, 3.
Optional induction assignment (2
engagement credits): due Friday on Gradescope.
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10/21
Read: Sections 12.1 and 12.2.
Self-check problems:
- Chapter 12.1: 1, 3, 7, 9.
- Chapter 12.2: 3, 5, 7
Homework 6 due.
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10/23
Read: Section 12.4.
Self-check problems:
Miro
board for proof puzzle
Journal check-in: due Friday on Gradescope.
Quiz: Problems like the self-check problems from
Sections 11.2, 11.3, 12.1 or 12.2.
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10/28
Read: Section 12.5.
Self-check problems:
Homework 7 due.
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10/30
Read: Section 12.6.
Self-check problems:
- Chapter 12.6: 1, 9.
- Journal check-in: due Friday on Gradescope.
- Quiz: Problems like in Homework 7.
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11/4
Read: Section 12.3.
Self-check problems:
- Chapter 12.3: 1.
- Homework 8 due.
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11/6
Exam II
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11/11
Read: 14.1
Self-check problems:
- Chapter 14.1: 1, 3, 7.
- Mini homework 9 due
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11/13
Read: 14.2
Self-check problems:
- Chapter 14.2:TBA
- Quiz: Problems like the self-check problems from
Section 14.1.
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11/18
Read: Section 2.2 in Abbott (Download from the
library here.)
Self-check problems:
- problems
- Homework 10 due
11/20
- Read: Section 2.3 in Abbott (through the proof of
Theorem 2.3.3 (ii))
- Self-check problems:
- Journal check-in: due Friday on Gradescope.
- Quiz: Problems like in homework 10
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12/2
Read: Secion 2.3 in Abbott
Self-check problems:
Homework 11 due.
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12/4
Journal check-in: due Friday on Gradescope.
Quiz: Problems like in Homework 11.
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12/9
Homework 12 due.
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