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Educational level: this is a tertiary (university) resource. |
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.
Resources
- Definitions
- Calculus I
- Calculus II
- Fundamental Calculus
- Quick Reference
Lessons
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 |
|---|---|---|---|
| 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
- Lamar
MIT
Other Resources
- Calculus
- Calculus courses, notes and books
- Various Calculus Problems
- Calculus of generating functions
Online Textbooks
- 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
- 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
- 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
See also
- MacLaurin series
{{Mathematics resources}}
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