| Tuesday |
Thursday |
| 1/30
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2/1
- Read: Sections 1.5-1.7.
- Video lecture:
Operations on sets
- Self-check problems:
- Section 1.5: 1abc
- Section 1.6: 1acd
- 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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2/6
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
Homework 1 due.
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2/8
Read: 2.7-2.10.
Video:
Quantifiers and negation
Self-check problems:
- Section 2.7: 1
- Section 2.9: 3
- Section 2.10: 1
Quiz: The truth table for an implication,
self-check problems from 2.2-2.3.
Journal check-in: due Friday on Gradescope.
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2/13
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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2/15
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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2/20
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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2/22
Read: Click
here and read pages 185-186
Video:
Division algorithm: examples
Video:
Division algorithm: proof
Self-check problems:
Quiz: One direct proof chosen from self-check
problems from Chapter 4 or 8.
Journal check-in: due Friday on Gradescope.
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Read: Click
here and read Section
9.4.
Video:
Euclidean algorithm: Examples
Video:
Euclidean algorithm: proof
Self-check problems:
Homework 4 due.
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2/29
Exam I: See the study guide on moodle for
detailed information.
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3/5
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.)
Mini-homework 5 due.
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3/7
Self-check problems:
Journal check-in: due Friday on Gradescope.
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3/12
Read: Introduction
to Graph Theory.
Video: Introduction
to Graph Theory
Video: Theorems
about vertex degrees
Self-check problems:
Homework 6 due.
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3/14
Read:Introduction
to Trees
Video: Introduction to Trees
Video: Every tree
has a leaf!
Video: Trees
have n-1 vertices
Video: A
connected graph with n vertices and n-1 edges is a tree
Self-check problems:
Quiz: One induction problem like the self-check
problems.
Journal check-in: due Friday on Gradescope.
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3/26
Read: Section 12.1.
Self-check problems:
- Chapter 12.1: 1, 3, 7, 9.
Homework 7 due Wednesday.
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3/28
Read: Section 12.2.
Self-check problems:
Journal check-in: due Friday on Gradescope.
Quiz: Be able to state the definition of a connected
graph, path, cycle, and tree.
Also be able to state our
important theorems about trees and our theorem about the sum
of
the degrees in a graph. You should be able to use these
theorems and definitions
to answer True/False questions and to
come up with examples.
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4/2
Read: Section 12.3.
Self-check problems:
Homework 8 due.
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4/4
Exam II. See the study guide on moodle for
detailed information.
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4/9
Read: Section 12.4.
Self-check problems:
Miro
board for proof puzzle
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4/11
Read: Section 12.6.
Mini-homework 9 due.
Self-check problems:
Journal check-in: due Friday on Gradescope.
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4/16
Break!
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4/18
Read: 14.1
Self-check problems:
- Chapter 14.1: 1, 3, 7.
- Quiz: Like the self-check problems from 12.4 and 12.6.
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4/23
Function wrap-up day!
Homework 10 due.
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4/25
Read: Section 2.2 in Abbott (Download from the
library here.)
Self-check problems:
- problems
- Journal check-in: due Friday on Gradescope.
- Quiz:Like the problems from 14.1
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4/30
Read: Section 2.3 in Abbott (through the proof of
Theorem 2.3.3 (ii))
Self-check problems:
Homework 11 due.
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5/2
Read: Secion 2.3 in Abbott
Self-check problems:
Journal check-in: due Friday on Gradescope.
Quiz:Like the problems from 2.2.
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