• 1/22-1/25

    Posted by David Rau on 1/21/2019

    1/22

    Today we talked more about definite integrals and the Fundamental Theorem of Calculus

    Integral Ideas

     

    1/23

    Today we continued to look at the idea of the definite integral and investigating areas underneath curves. 

    ONE MAJOR IDEA: If the area is above the x-axis, the area is a positive value. If the area is below the x-axis it is negative!

    Be careful when combining areas on both sides

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  • 1/14-1/18

    Posted by David Rau on 1/13/2019

    1/14 

    Integration Ideas and Riemann Sums

    3 Khan's: Accumulation, Left and Right Riemann Sums, Midpoint and Trapezoid Sums

     

    1/15

    Today we found other ways of estimating area: trapezoid sums and midpoint sums

    Notes

    1 Khan: Trapezoid and Midpoint

     

    1/16

    Today we started to investigate how to write riemann sums in summation notation

    Notes

     

    1/18

    Summation Notation Riemann Sums simplified

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  • 1/4-1/11

    Posted by David Rau on 1/3/2019

    1/4

    Today we talked about linear approximation. Aka using a nearby known point and slope to find the approximate value of a curvy function using a straight line.

    Notes

    Khan: Linear Approximation

     

    1/7/19

    Today we introduced optimization. These questions delt with finding minimum requirements to meet certain area or volume needs. 

    Optimization 1

    Examples to try:

    1. You are designing a cylindrical tube that must hold 1000 cm cubed of volume. If the cylindar has an open top, what is the minimum surface area required to create the cylinder?

     

    1/8/19

    Today we continued optimization

    Opt. 2

    no hw

     

     

    1/11/19

    Optimization 3

    1 Khan Optimization

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