## 1.2 Outline

1. Magic squares
2. A pattern of nines
3. Order of operations (see below)
4. Inductive reasoning (see below)
1. conjecture
2. exponentiation
1. b2; b squared
2. b3; b cubed
5. Deductive reasoning (see below)
1. undefined terms
2. axioms or premises
3. conclusion
4. syllogism
See the whole entry

## 1.1 Outline

1. A word of encouragement
2. Hints for success
3. Writing mathematics
4. Guidelines for solving
1. problem solving
2. problem levels
3. guideline; list (see below)
5. Problem solving by patterns
1. Pascal’s triangle
2. Street problem
3. Cows and chickens
4. Birth orders

## 1.1 Essential Ideas

Guidelines for … See the whole entry

## Section 18.2: Limits

1. Introduction
1. sequence
1. general term
2. successor
3. predecessor
2. notation
2. The limit of a sequence
3. Limits to infinity
1. converges
2. limit of the sequence
3. diverges
4. limit of 1/n to infinity
4. Infinite limits

## 18.2 Essential Ideas

### Essential Limits

; furthermore, for any A, and … See the whole entry

## Section 18.1: What is Calculus?

### 18.1 Outline

1. What is Calculus?
1. Calculus is the mathematics of motion and change.
2. The three main ideas of calculus are limit, derivative, and integral.