# Topic:Calculus

Welcome to the Wikiversity **Calculus Learning Center**.

## Department description[edit]

The Calculus Learning Center is a Wikiversity content development project where participants create, organize and develop learning resources for Calculus.

The goal of the department of calculus is to familiarize the student with the tools of modern calculus from developing the analytical machinery of limits, derivatives and integration to our use of set theory and basic topology to apply single-variable calculus to more general spaces to the development of the language of differential forms. The student should be prepared to study differential geometry from any modern introductory text at the conclusion of their study of calculus. The inspiration for our style of teaching comes from the texts of Courant, Apostol and Spivak, with whom all mathematicians are undoubtably familiar. A good mix of analysis (this is a course in pure mathematics, so don't hold back proofs) and application with well-chosen exercises and problems is what we should strive for in our lessons.

## Department news[edit]

**Tuesday, July 13, 2010**New Resources added! KinderCalculus is a resource for how to teach mathematics through calculus by avoiding traditional large number arithmetic.**Monday, August 21, 2006**- Department founded!

## Wikibooks & Wikiversity Calculus[edit]

Wikibooks has a well developed Calculus Book in 10 sections which this Wikiversity webcourse should mirror to maximise resources.

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

1. | Precalculus | *The Real Numbers and Their Development | *Foundations of calculus |

*Precalculus | |||

*Introduction to Calculus Overview Page | |||

**Any questions? | |||

**1. Introduction to Calculus | |||

Calculus Pre-Test |
|||

2. | Limits | **2. Limits | |

3. | Differentiation | **3. Differentiation | |

4. | Integration | **Integration by Substitution | Trigonometric Substitutions |

**Monte Carlo Integration | |||

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]

- Lamar

MIT

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

## Other Resources[edit]

### Online Textbooks[edit]

- 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]

- 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]

- 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]

## Active participants[edit]

The histories of Wikiversity pages indicate who the active participants are. If you are an active participant in this department, you can list your name here (this can help small departments grow and the participants communicate better; for large departments a list of active participants is not needed).

- Hypermorphism 02:46, 22 August 2006 (UTC)
- HappyCamper 03:20, 22 August 2006 (UTC)
- Ravi12346 23:46, 13 October 2006 (UTC)
- Lamnguyen 18:31, 11 May 2007 (UTC)
- Gingersnapdragon 22:48, 15 February 2008
- Ragpicker14 18:43, 24 September 2008
- Graemeb1967 18:43, 29 October 2009
- MJMurton 18:02, 4 February 2010