Exeter-Calculus-May

Mike May, Jun 21, 2015

A proof of concept book for the exeter conference

Table of Contents

  1. MondayStuff
    1. Preface page
    2. Cavalieri's Principle
    3. Riemann Sum
    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. Friday stuff
    1. Emma's Book
    2. Jeff's book
    3. Escherized Tessellation
    4. AP Calculus AB: Average Value of a Function
    5. Intermediate Value Theorem
  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
  6. 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

1.

MondayStuff

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

1.1.

Preface page

This is a collection of applets for use in calculus
– Mike May

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.

Friday stuff

  • 1. Emma's Book
  • 2. Jeff's book
  • 3. Escherized Tessellation
  • 4. AP Calculus AB: Average Value of a Function
  • 5. Intermediate Value Theorem

4.1.

Emma's Book

[url=https://tube.geogebra.org/b/1354723]Here is the link[/url]  Emma made a book of visualizations.[br]Rather than import the whole book, I am providing a link.[br]https://tube.geogebra.org/b/1354723
– Mike May

4.2.

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4.3.

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4.4.

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4.5.

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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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6.

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

6.1.

Section 11.1-Sequences

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

6.2.

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6.3.

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6.4.

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6.5.

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6.6.

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