## Contents

1.2 Goals

1.4 Text
1.6 On homework

3.4.1 Categories
3.4.2 Pólya’s stages

3.4.4 Devise a plan
3.4.5 Carry out the plan
3.4.6 Looking back

4.1 Review
4.1.1 Problem solving
4.1.2 Categories

4.3.2 Divise a plan
4.3.3 Carry out the plan

4.4.1 Guessing

4.6 Homework

5.1 Review

5.1.2 Tactic: Guessing

5.2.2 Devise a plan
5.2.3 Carry out the plan
5.2.4 Looking back
5.3 Homework

6.1.1 Problem 10
6.1.2 Problem 13

6.3.1 Problem 5
6.3.2 Problem 7
6.3.3 Problem 8

6.5.2 Problem 13
6.5.3 Problem 18
6.5.4 Problem 20

7.1 Review

7.2.2 Devise a plan
7.2.3 Carry out the plan
7.2.4 Looking back

7.5 Homework

8.1 Review

8.2.1 Logic puzzles

8.6 Homework

10.3 Problem set 1.3

10.3.2 Problem 9
10.3.3 Problem 11
10.3.4 Problem 20
10.4 Problem set 1.4

10.4.2 Logic puzzle: Problem 9
10.4.3 Pigeonholes: Problem 12
10.4.4 Pigeonholes: Problem 13
10.4.5 Pigeonholes: Problem 14

11.1 Review
11.2 Proof
11.3 Direct proof

11.5 Homework

12.1 Proof review
12.2 Inductive proof

12.8 Homework

13.1 Review

13.5 Operations
13.6 Homework

14.2.1 Problem 1
14.2.2 Problem 2
14.2.3 Problem 4
14.2.4 Problem 5
14.2.5 Problem 6
14.2.6 Problem 27

15.1 Review
15.1.1 Definitions
15.1.2 Relations
15.1.3 Operations

15.3 Homework

16.1 Review

16.6 Homework

17.1 Problem set 2.2
17.1.1 Problem 1
17.1.2 Problem 2
17.1.3 Problem 6
17.1.4 Problem 13
17.1.5 Problem 21
17.1.6 Problem 23

17.2 Problem set 2.3
17.2.1 Problem 2
17.2.2 Problem 5
17.2.3 Problem 11
17.2.4 Problem 24

17.5 Problem set 2.4
17.5.1 Problem 5
17.5.2 Problem 10
17.5.3 Problem 26

18.1 Review
18.2 Problem solving
18.2.1 Understand the problem
18.2.2 Devise a plan
18.2.3 Carry out the plan

18.3 Set theory
18.3.1 Definitions and mappings

20.2.1 Converting to Decimal
20.2.2 Converting from Decimal

20.3.1 Multiplication
20.3.3 Subtraction

20.4 Homework

21.1 Problem set 3.1
21.2 Problem set 3.2
21.3 Problem set 3.3
21.4 Problem set 3.4

22.1 Divisibility
22.2 Primes
22.3 Factorization

22.6 Homework

23.1 Problem set 4.1
23.2 Two diagrams
23.3 Problem set 4.2

24.7 Homework

25.1 Problem set 4.3
25.2 Computing GCDs
25.3 Computing LCMs

26.1.2 The other example

26.2.1 Operator precedence
26.3 Rational numbers

26.4.3 Comparing fractions

26.6 Homework

27.2 Problem set 6.1
27.3 Problem set 6.2
27.4 Problem set 6.3

28.1 Real numbers

28.2.1 Positive exponents
28.2.2 Zero exponent
28.2.3 Negative exponents

28.2.5 Irrational numbers

28.4.1 Rounding rules

28.4.3 Binary fractional parts
28.5 Homework

33 Math Lab
34 On-line