## Section 18.5: Review for Chapter 18

Studying for a chapter examination is a personal process, one which nobody else can do for you. Simply take the time to review what you have done.

Here are the new terms in Chapter 18.

Antiderivative [18.4]
Area function [18.4]… See the whole entry

## 18.4 Outline

1. Area function
1. definition
2. antiderivative
3. antiderivative of; ex.
4. properties of antiderivative
1. constant multiple
2. antiderivative of a sum
2. Antiderivative’s as area
3. The definite integral
1. definition
2. integral
3. limits of integration
4. dummy variable
5. indefinite integral
4. Areas as antiderivatives

## 18.4 Essential Ideas

See the whole entry

## 18.3 Outline

1. Average rate of change
2. Instantaneous rate of change
3. Derivative
1. derivative of f at x
2. differentiable function
3. derivative of ex
4. Tangent line
1. tangent-line
formula
2. equation of tangent line at a point (h, k ).
5. Velocity

## 18.3

See the whole entry

## 18.2 Outline

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 See the whole entry

## 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
1. Achilles and the tortoise
2. limit of a sequence
3. The derivative: the tangent
See the whole entry

## Homework Hints 17-2

### Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 … See the whole entry

## Section 17.5: Review for Chapter 17

Studying for a chapter examination is a personal process, one which nobody else can do for you. Simply take the time to review what you have done.

Here are the new terms in Chapter 17.

Alabama paradox … See the whole entry

## 17.4 Outline

1. Introduction
5. Balinski and Young’s impossibility theorem

## 17.4 Essential Ideas

A reapportionment in which an increase in the total number of seats results in a loss of seats for … See the whole entry

## 17.3 Outline

1. Definition of apportionment
2. The apportionment process
1. upper quota
2. lower quota
3. standard divisor
4. standard quota
5. quota rule
1. definition
2. modified divisor
3. modified quota
4. Jefferson’s plan
5. Hamilton’s plan
6. Webster’s plan
7. Hungtington-Hill plan
1. arithmetic mean
2. geometric mean
8. Summary of apportionment
See the whole entry

## 17.2 Outline

1. Fair voting principles
2. Majority criterion
3. Condorcet criterion
1. Condorcet candidate
2. definition
4. Monotonicity criterion
1. straw vote
2. definition
5. Irrelevant alternative criterion
6. Arrow’s impossibility theorem
1. fairness criterion
2. comparison of voting methods
3. insincere voting
4. transitive law