Topic:Calculus

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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 singlevariable 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 wellchosen 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 PreTest  
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.
Hardcopy 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