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Calculus II Materials
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1. Calculus I materials that can still help in Calculus II
- Graphing Functions-Section 1.1
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2. Chapters 6 and 7-Inverse Functions, Exp. Function, and Integration Techniques
- Section 6.1-Inverse Functions
- Section 6.2-Derivative of Exponential Functions
- Section 2.5, then 6.2, 6.4 and 6.6-Derivatives
- Section 7.7-Integral Approximations
- Improper Integral-Section 7.8
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3. Chapters 8 and 9-Arc Length and Differential Equations
- Approximate Pi-Arc Length-Section 8.1
- Arc Length-Section 8.1
- Section 9.2-Slope Fields
- Section 9.3-Orthogonal Trajectories
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4. Chapter 10-Parametric, Polar, and Conic Sections
- Section 10.1-Parametric Curves
- 10.2-Projectile Motion with Drag Coefficient (not in text)
- Section 10.3-Polar Coordinates
- Section 10.3-Polar Curves
- Section 10.4-Area in Polar Coordinates
- Section 10.4-Area in Polar Coordinates with Two Curves
- Section 10.5-Conic Sections
- Section 10.5-Graph of Parabola
- Section 10.5-Parabola Reflection Property
- Section 10.5-Ellipse Property
- Section 10.5-Reflection Property of Ellipse
- Section 10.5-Hyperbola
- Section 10.5-Hyperbola Reflection
- Section 10.5-Graphing Parabola
- Section 10.5-Graphing Ellipse
- Section 10.5-Graphing Hyperbola
- Section 10.6-Conics in Polar Coordinates
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5. Chapter 11-Sequences and Series
- Section 11.1-Sequences
- Section 11.1-Recursive Sequence
- Section 11.2 (and on)-Series
- Section 11.8-Power Series
- Section 11.10-Taylor Series
- Section 11.10-More Complicated Taylor Series
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Calculus II Materials
Kevin Hopkins, Mike May, Jun 24, 2015

Materials for Calculus II, taught with Stewart's Calculus, 7th edition. Chapters 6-11 are covered in Calculus II.
Table of Contents
- Calculus I materials that can still help in Calculus II
- Graphing Functions-Section 1.1
- Chapters 6 and 7-Inverse Functions, Exp. Function, and Integration Techniques
- Section 6.1-Inverse Functions
- Section 6.2-Derivative of Exponential Functions
- Section 2.5, then 6.2, 6.4 and 6.6-Derivatives
- Section 7.7-Integral Approximations
- Improper Integral-Section 7.8
- Chapters 8 and 9-Arc Length and Differential Equations
- Approximate Pi-Arc Length-Section 8.1
- Arc Length-Section 8.1
- Section 9.2-Slope Fields
- Section 9.3-Orthogonal Trajectories
- Chapter 10-Parametric, Polar, and Conic Sections
- Section 10.1-Parametric Curves
- 10.2-Projectile Motion with Drag Coefficient (not in text)
- Section 10.3-Polar Coordinates
- Section 10.3-Polar Curves
- Section 10.4-Area in Polar Coordinates
- Section 10.4-Area in Polar Coordinates with Two Curves
- Section 10.5-Conic Sections
- Section 10.5-Graph of Parabola
- Section 10.5-Parabola Reflection Property
- Section 10.5-Ellipse Property
- Section 10.5-Reflection Property of Ellipse
- Section 10.5-Hyperbola
- Section 10.5-Hyperbola Reflection
- Section 10.5-Graphing Parabola
- Section 10.5-Graphing Ellipse
- Section 10.5-Graphing Hyperbola
- Section 10.6-Conics in Polar Coordinates
- Chapter 11-Sequences and Series
- Section 11.1-Sequences
- Section 11.1-Recursive Sequence
- Section 11.2 (and on)-Series
- Section 11.8-Power Series
- Section 11.10-Taylor Series
- Section 11.10-More Complicated Taylor Series
Graphing Functions-Section 1.1
Should be able to use just like GeoGebra, but without needing to install it. You can enter functions in the Input line at the bottom of the page. You can zoom in by holding shift key and mouse while hovering at an axis and moving left or right or up or down to change the scale in x or y. The menu icons at the top of the page are also available.


Section 6.1-Inverse Functions
See the relation between points, graphs, and derivatives on f and its inverse.


Approximate Pi-Arc Length-Section 8.1
Approximate Pi |
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Chapter 10-Parametric, Polar, and Conic Sections
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1. Section 10.1-Parametric Curves
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2. 10.2-Projectile Motion with Drag Coefficient (not in text)
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3. Section 10.3-Polar Coordinates
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4. Section 10.3-Polar Curves
-
5. Section 10.4-Area in Polar Coordinates
-
6. Section 10.4-Area in Polar Coordinates with Two Curves
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7. Section 10.5-Conic Sections
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8. Section 10.5-Graph of Parabola
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9. Section 10.5-Parabola Reflection Property
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10. Section 10.5-Ellipse Property
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11. Section 10.5-Reflection Property of Ellipse
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12. Section 10.5-Hyperbola
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13. Section 10.5-Hyperbola Reflection
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14. Section 10.5-Graphing Parabola
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15. Section 10.5-Graphing Ellipse
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16. Section 10.5-Graphing Hyperbola
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17. Section 10.6-Conics in Polar Coordinates
Section 10.1-Parametric Curves
Applet to enter, then graph, a parametric curve. |
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Section 11.1-Sequences
See how a sequence is graphed. Can you tell if it is converging? If so, to what?


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