## 17.1 Outline

1. Dictatorship
2. Majority rule
1. vote
2. definition
3. symmetry
3. Plurality method
4. Borda count
1. definition
2. run-off election
5. Hare method
6. Pairwise comparison method
1. binary voting
2. definition
7. Tournament method
1. sequential voting
2. tournament method
3. tournament elimination method
8. Approval voting method
9. Summary

## 17.1 Essential Ideas

See the whole entry

## Section 16.6: Review for Chapter 16

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 16.

Addition of … See the whole entry

## 16.5 Outline

1. Introduction
1. linear programming
2. simultaneous systems of inequalities
2. System of inequalities
3. Linear programming
1. convex set
2. objective function
3. constraints
4. feasible solution
5. optimum solution
6. linear programming theorem
7. linear programming procedure
8. superfluous constraint

## 16.5 Essential Ideas

This section is an extension … See the whole entry

## 16.4 Outline

1. Matrix operations
1. matrix equation
2. equality
4. multiplication by a scalar
5. subtraction
6. multiplication
7. noncomformable
2. Zero-one matrices
3. Algebraic properties of matrices
1. zero matrix
2. identity matrix for multiplication
3. main diagonal
5. multiplicative inverse
6. properties
1. commutative
2. associative
3. identity
4. inverse
5. distributive
4. Inverse
See the whole entry

## 16.3 Outline

1. Definition of a matrix
1. subscripts
2. double subscripts
3. array
4. matrix
5. rows and columns
6. square matrix
7. order/dimension
2. Matrix form of a system of equations
1. augmented matrix
2. diagonal form
3. Elementary row operations and pivoting
1. elementary row operations
2. equivalent matrices
3. elementary row
See the whole entry

## 16.2 Essential Ideas

Read the section carefully. This section applies the ideas of the previous section.… See the whole entry

## 16.1 Outline

1. Terminology
1. system of equations
2. simultaneous solution
3. linear system
2. Graphing method
1. inconsistent system
2. dependent system
3. Substitution method
1. equivalent systems
2. procedure
1. terminology
2. procedure

## 16.1 Essential Ideas

To solve a system of equations means to find … See the whole entry

## Section 15.6: Review for Chapter 15

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 15.

Abscissa [15.1]
Analytic geometry [15.1]… See the whole entry

## 15.5 Outline

1. Definitions
1. first/second components
2. function
2. Representations of functions
1. ordered pairs
2. mapping
3. machine
3. Functional notation
1. domain
2. range
3. difference quotient
4. Vertical line test
5. Some important functions (see below)
1. constant function
2. linear function
4. trigonometric function
5. exponential function
6. logarithmic function
7. probability
See the whole entry

## 15.4 Outline

1. Introduction
1. definition
2. model
2. Geometric definition of conic sections
1. parabola
1. focus
2. directrix
3. axis
4. vertex
2. ellipse
1. foci
2. major axis
3. center
4. minor axis
3. circle
1. center