| Educational level: this is a tertiary (university) resource.

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| Wikibooks has a book on the topic of Calculus.

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This diagram shows an approximation to an area under a curve. Credit: Dubhe.

Calculus uses methods originally based on the summation of infinitesimal differences.

It includes the examination of changes in an expression by smaller and smaller differences.

## Contents

* 1 Resources
* 2 Lessons
* 3 Offsite Courses
* 4 Other Resources
* 4.1 Online Textbooks
* 4.2 Hard-copy Textbooks
* 4.3 Textbook Supplements
* 4.4 Wikipedia
* 5 See also

## Resources[edit | edit source]

* Calculus/Introduction
* Definitions
* Calculus I
* Calculus II
* Fundamental Calculus
* Quick Reference

## Lessons[edit | edit source]

Wikibooks has a well developed Calculus Book in 10 sections which this Wikiversity web course should mirror to maximize resources.

Chapter  | Wikibook Chapter  | Wikiversity Topics  | Wikiversity for Review & Development

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1\.  | Precalculus | *The Real Numbers and Their Development | *Foundations of calculus
|  | *Precalculus |
|  | *Introduction to Calculus Overview Page |
|  | **Any questions? |
|  | **Introduction to Calculus/Introduction |
|  | Calculus Pre-Test |
2\.  | Limits | **Introduction to Calculus/Limits |
3\.  | Differentiation | **Introduction to Calculus/Differentiation |
4\.  | Integration | **Integration by parts |
|  | **Integration by Substitution |
|  | **Monte Carlo Integration | **Trigonometric Substitutions
5\.  | Parametric equations | Parametric equations |
6\.  | Polar equations | Polar equations |
7\.  | Sequences and series | Sequences and series |
8\.  | Vector Calculations | Vectors |
9\.  | Multivariable and Differential Calculus | Multivariable Calculus |
10\.  | Extensions | Complex Numbers |
11\.  |  |  | *Calculus
|  |  | *Calculus II

## Offsite Courses[edit | edit source]

Lamar

* Calculus I
* Calculus II

MIT

* Single Variable calculus, Fall 2006, Prof. David Jerison(Video Lectures)
* Single Variable calculus, Fall 2005, Prof. Jason Starr
* Calculus II

## Other Resources[edit | edit source]

* Calculus
* Various Calculus Problems
* Calculus of generating functions

### Online Textbooks[edit | edit source]

* Wikibooks Calculus
* Prof Dale Hoffman. (2007). Contemporary Calculus: Part 1
* R.Courant. Differential and Integral Calculus, Vol. I by Richard Courant
* R.Courant. Differential and Integral Calculus, Vol. II by Richard Courant
* Gilbert Strang. (1991). Calculus
* Ray Mayer. (2007) Calculus I \- Theoretical focus.

### Hard-copy Textbooks[edit | edit source]

* Spivak, Michael. (1994). Calculus ISBN 0914098896
* Spivak, Michael. (1965). Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus ISBN 0805390219
* Gilbert Strang. (1991). Calculus ISBN 0961408820

### Textbook Supplements[edit | edit source]

* Elliott Mendelson. (1988). 3,000 Solved Problems in Calculus ISBN 0070415234
* Frank Ayes, Elliott Mendelson. (1999). Schaum's Outline of Calculus (Fourth Edition) ISBN 0070419736
* Solutions to selected exercises from Apostol's Calculus Vol. 1
* Solutions to selected exercises from Calculus by Larson, Hostetler, Edwards

### Wikipedia[edit | edit source]

* Calculus
* List of basic calculus topics
* List of calculus topics
* Stochastic calculus

## See also[edit | edit source]

* MacLaurin series

{{Mathematics resources}}

Learn more about Calculus

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