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Calculus (in 7 minutes)
   Goal:     find the instantaneous rate of change    Goal:    find the product of 2 factors 1 of which varies

 Graph:                                               Graph:


                      slope of tangent line
                                                                             area under curve




   Numerical Methods                                   Numerical Methods
    forward                                              Counting squares
    backward difference quotients                        Trapezoidal rule
    symmetric                                            Riemann Sums:(upper, lower, midpoint)


    Definition:                                       Definition:
  Algebraic Method                                    Algebraic Method
power, chain, constant, sum/difference,
exponential (natural, base­b), product, quotient
                                                          Fundamental Theorem of Calculus

                                       Differential     Integral
                                                                                   From: Flickr: Highway 1 by Dr. Flemming




                                                                                                                             1

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CRMS Calculus 2010 April 19,2010

  • 1. Calculus (in 7 minutes) Goal: find the instantaneous rate of change Goal: find the product of 2 factors 1 of which varies Graph: Graph: slope of tangent line area under curve Numerical Methods Numerical Methods forward Counting squares backward difference quotients Trapezoidal rule symmetric Riemann Sums:(upper, lower, midpoint) Definition: Definition: Algebraic Method Algebraic Method power, chain, constant, sum/difference, exponential (natural, base­b), product, quotient Fundamental Theorem of Calculus Differential Integral From: Flickr: Highway 1 by Dr. Flemming 1