Exeter-Calculus-May

Mike May, Susan Mitchell, Jun 24, 2015

A proof of concept book for the exeter conference

Table of Contents

  1. MondayStuff
    1. Riemann Sum
    2. Preface page
    3. Cavalieri's Principle
    4. Right vs. Left vs. Midpoint Riemann Sums
    5. PreRelease Riemann Sums
  2. TuesdayStuff
    1. u-substitution 4
    2. U-Substitution revision 2
    3. Logistic Explorer
    4. Finding Derivative using Curve Fitting
    5. Tangent Fields & Isoclines
  3. Wednesday stuff
  4. Chapter 11-Sequences and Series
    1. Section 11.1-Sequences
    2. Section 11.1-Recursive Sequence
    3. Section 11.2 (and on)-Series
    4. Section 11.8-Power Series
    5. Section 11.10-Taylor Series
    6. Section 11.10-More Complicated Taylor Series
  5. Chapters 6 and 7-Inverse Functions, Exp. Function, and Integration Techniques
    1. Section 6.1-Inverse Functions
    2. Section 6.2-Derivative of Exponential Functions
    3. Section 2.5, then 6.2, 6.4 and 6.6-Derivatives
    4. Section 7.7-Integral Approximations
    5. Improper Integral-Section 7.8

1.

MondayStuff

  • 1. Riemann Sum
  • 2. Preface page
  • 3. Cavalieri's Principle
  • 4. Right vs. Left vs. Midpoint Riemann Sums
  • 5. PreRelease Riemann Sums

1.1.

Riemann Sum

Shows the value of an approximating Riemann sum and Trapepzoid sum also.

Change a and b by points along X-axis. Change n, the number of intervals, and p, the position in the interval where the function is evaluated by using the sliders
– Doug Kuhlmann

1.2.

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1.3.

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1.4.

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1.5.

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2.

TuesdayStuff

  • 1. u-substitution 4
  • 2. U-Substitution revision 2
  • 3. Logistic Explorer
  • 4. Finding Derivative using Curve Fitting
  • 5. Tangent Fields & Isoclines

2.1.

u-substitution 4

u-substitution
– samjshah2

2.2.

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2.3.

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2.4.

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2.5.

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3.

Wednesday stuff


    This chapter does not contain any resources yet.

4.

Chapter 11-Sequences and Series

  • 1. Section 11.1-Sequences
  • 2. Section 11.1-Recursive Sequence
  • 3. Section 11.2 (and on)-Series
  • 4. Section 11.8-Power Series
  • 5. Section 11.10-Taylor Series
  • 6. Section 11.10-More Complicated Taylor Series

4.1.

Section 11.1-Sequences

See how a sequence is graphed. Can you tell if it is converging? If so, to what?
– Kevin Hopkins

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

–

5.

Chapters 6 and 7-Inverse Functions, Exp. Function, and Integration Techniques

  • 1. Section 6.1-Inverse Functions
  • 2. Section 6.2-Derivative of Exponential Functions
  • 3. Section 2.5, then 6.2, 6.4 and 6.6-Derivatives
  • 4. Section 7.7-Integral Approximations
  • 5. Improper Integral-Section 7.8

5.1.

Section 6.1-Inverse Functions

See the relation between points, graphs, and derivatives on f and its inverse.
– Kevin Hopkins

5.2.

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5.3.

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5.4.

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5.5.

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