Lecture Notes

Lesson 1: Sets Elements & Universes

  1. Read chapter 5.1 pp. 260-264
  2. Representing sets: pg 265 prob. 20-25
  3. Subsets: pg. 266 prob. 32-41
  4. Counting sets: pg 266 prob. 42-47

Lesson 2: Connectives

  1. Read chapter 5.2 pp. 267-271
  2. Connective problems: pg 272 prob. 21-30.

Lesson 3: Venn Diagrams

  1. Read chapter 5.3 pp. 273-279
  2. Building Venn Diagrams from sets: pg 282 prob. 39-44
  3. Building Venn Diagrams from relationships: pg 282 prob.  45-49
  4. Venn Diagram regions with 2 sets: pg. 283 prob. 50-59.
  5. Venn Diagram regions with 3 sets: pg. 283 prob. 60-75

Lesson 4: Set Theory Laws

  1. Read chapter 5.4 pp. 285-289
  2. Dog ear (fold a corner of) pg. 288 for easy reference.
  3. Reasons for proofs: pp. 291-292 prob. 20-22
  4. Constructing proofs: pg. 292 prob. 23-32.

Lesson 5: Survey Problems

  1. Read Chapter 6.2 pp. 306-312
  2. Survey Exercises:  pp.315-317 prob. 8-14

 Lesson 6: Probability

  1. Read Chapter 6.3 pp. 317-322
  2. Probability problems pp. 323-324 prob. 5-9

Lesson 7: Logic – Statements and Connectives

  1. Read Chapter 1.1 pp. 2-9.
  2. Translation problems: pp. 11-12 prob. 37-51.

Lesson 8: Evaluating Truth

  1. Read Chapter 1.2 pp. 14-16
  2. Evaluating statements: pp. 17-18 prob. 26-45

Lesson 9: Truth Tables

  1. Read chapters 1.3 and 1.4 pp. 19-32
  2. 2 statements truth table tautology determination: pg. 24 prob. 11-30
  3. 3 statements truth table tautology determination: pp. 32-33 prob. 11-20

Lesson 10:Arguments and Truth Tables

  1. Read chapter 2.1 pp. 62-66
  2. Verifying arguments: pp 67-68 prob. 11-20
  3. Verifying word problem arguments pg. 82 prob 55-59
  4. Verifying word problem arguments pg. 100 prob 22-25

Lesson 11: Formal Proofs

  1. Read all of chapters 3.1-3.3 pp. 110-142
  2. Dog ear (fold corner of) pg 190 – Valid argument forms
  3. Fill in the reason proofs pp. 117-118 prob. 19-23
  4. Fill in the reason proofs pp. 131-133 prob. 32-36
  5. Fill in the reason proofs pp. 145-147 prob. 32-36
  6. Constructing proof for arguments: pg. 118 prob. 24-29
  7. Constructing proof for arguments: pg. 133 prob. 37-42
  8. Constructing proof for arguments: pg. 147 prob. 37-42