Essential Ideas

Section 10.1: Exponential Equations

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10.1 Outline

  1. Exponential equation
    1. definition
    2. evaluate exponentials
  2. Definition of logarithm
    1. notation, logarithm, and argument
    2. common logarithm
    3. natural logarithm
  3. Evaluating logarithms
    1. evaluate
    2. using calculators
    3. change of base
    4. exact solution
  4. Exponential equations
    1. three types
      1. base 10
      2. base e
      3. base b

      2. micometer

… See the whole entry

Section 9.3: Topology and Fractals

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9.3 Outline

  1. Topology
    1. topologically equivalent figures
    2. planar curve
    3. closed curve
    4. interior/exterior
    5. simple curve
    6. Jordan curve
    7. invariant property
    8. genus
  2. Four-color problem
  3. Fractal geometry
  4. Tessellations

 

9.3 Essential Ideas

Two geometric figures are said to be topologically equivalent if one figure can … See the whole entry

Section 9.1: Euler Circuits and Hamiltonian Cycles

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9.1 Outline

  1. Euler circuits
    1. Konigsberg bridge problem
    2. definition of a graph (or a network)
    3. traversable network
    4. degree of a vertex
    5. Euler circuit
    6. odd/even vertex
    7. connected network
    8. Euler’s circuit theorem
  2. Applications of Euler circuits
    1. supermarket problem
    2. police patrol problem
    3. floor-plan problem
… See the whole entry

Section 8.4: Miscellaneous Measurements

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8.4 Outline

  1. Review
    1. length
    2. area
    3. volume
  2. Volume of solids
    1. right rectangular prism
    2. right circular cylinder
    3. pyramid
    4. right circular cone
    5. sphere
  3. Comparisons
  4. Mass
    1. definition
    2. standard weight units
  5. Temperature
    1. definition
    2. standard temperature units
  6. Converting units
    1. metric
    2. U.S.

 

8.4 Essential Ideas

Use … See the whole entry