Part II
Notes for chapters 1, 2, and 3

3 Notes for 18 August
 3.1 Syllabus and class mechanics
 3.2 Introductions
 3.3 Inductive and deductive reasoning
 3.4 Inductive
 3.5 Deductive
4 Notes for 20 August
 4.1 Review: Inductive and deductive reasoning
 4.2 Inductive reasoning on sequences
 4.3 A tool for sequences: successive differences
 4.4 Successive differences are not useful for everything.
 4.5 An application where successive differences work, amazingly.
 4.6 Next time: Problem solving techniques.
 4.7 Homework
5 Notes for 22 August
 5.1 The problem solving section is important enough for a full class
 5.2 Review successive differences: a tool for inductive reasoning on sequences
 5.3 Moving from a table to a formula
 5.4 Starting point
 5.5 The plan for deriving a formula
 5.6 The derivation
 5.7 Homework
6 Solutions for first week’s assignments
 6.1 Notes on received homeworks
 6.2 Exercises for Section 1.1
 6.3 Explain the “trick” of Section 1.1’s example
 6.4 Exercises for Section 1.2
7 Notes for 25 August
 7.1 Problem solving principles
 7.2 Making a lists and tables
 7.3 Searching by guessing
 7.4 Understanding dependencies, or ”working backward”
 7.5 Next time: more techniques
 7.6 Homework
8 Notes for 27 August
 8.1 Review: Pólya’s problem-solving principles
 8.2 Effective trial and error by bisection
 8.3 Simpler sub-problems for finding patterns
 8.4 Other sources for tactics and examples
 8.5 Next time: Reading graphs and charts
 8.6 Homework
9 Notes for 29 August
 9.1 Review: Pólya’s problem-solving principles
 9.2 Notes on the homework
 9.3 Reading graphs: delayed until Monday (or later)
 9.4 Homework
10 Solutions for second week’s assignments
 10.1 Exercises for Section 1.3
 10.2 Making change
 10.3 Writing out problems
 10.4 Computing with numbers
11 Notes for reading graphs
 11.1 Reading graphs
 11.2 Creating a graphical depiction of data
 11.3 Graph galleries and resources
12 Homework for reading graphs
 12.1 Homework
13 Notes for the third week: set theory
 13.1 Language of set theory
 13.2 Basic definitions
 13.3 Translating sets into (and from) English
 13.4 Relations
 13.5 Translating relations into (and from) English
 13.6 Consequences of the set relation definitions
 13.7 Visualizing two or three sets: Venn diagrams
 13.8 Operations
 13.9 Translating operations into English
 13.10 Special operations
 13.11 Cardinality and the power set
14 Homework for the third week: set theory
 14.1 Homework
15 Solutions for third week’s assignments
 15.1 Section 1.4, problem 54
 15.2 Section 2.1
 15.3 Section 2.2
 15.4 Section 2.3