Section 17.1: Voting

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

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Section 16.5: Modeling with Linear Programming

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

Section 16.4: Inverse Matrices

16.4 Outline

  1. Matrix operations
    1. matrix equation
    2. equality
    3. addition
    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
    4. additive inverse
    5. multiplicative inverse
    6. properties
      1. commutative
      2. associative
      3. identity
      4. inverse
      5. distributive
  4. Inverse
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Section 16.3: Matrix Solution of a System of Equations

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
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Section 16.1: Systems of Linear Equations

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
  4. Linear combination (addition) method
    1. terminology
    2. procedure

 

16.1 Essential Ideas

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

Section 15.5: Functions

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
    3. quadratic function
    4. trigonometric function
    5. exponential function
    6. logarithmic function
    7. probability
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Section 15.4: Conic Sections

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
      2. radius
    4. hyperbola
      1. transverse axis
      2. center
      3. conjugate axis
  3. Algebraic definition of conic sections
    1. general form
      1. first-degree equation
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