Dr Thompson's AP Calculus University High School Dr Kevin Thompson

 Courses

AP calculus lessons University High School Normal,IL

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2.4 day 2
Exploration of slopes of secant lines and tangent lines. The average and instantaneous rate of change is calculated with the difference quotient.
Day 1 is an independent activity found here
http://www.uhigh.ilstu.edu/math/thompson/sketchpad/apcalc/2.4_The%20Leaning%20Tower%20of%20Pisa.doc 
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Euler's Method (BC only)
Euler's method to approximate the value of a function given a differential equation and initial point is explored.

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10.5 (BC only) Integral Test for Convergence
We explore the integral test to determine convergence. The harmonic series is revisited.

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10.4 (BC only) Convergence and Polar functions
We explore the comparison test and the ratio test to determine convergence. The area inside polar functions is also explored as well as their slopes.

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10.3 (BC only) Taylor Polynomials and error bound
We explore the error bound for Taylor polynomials.

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10.2 (BC only) Taylor Polynomials day 2
We explore creating Taylor polynomials. We also center them at other values and create new polynomials from given ones.