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.

Resources[edit | edit source]

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
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

MIT

Other Resources[edit | edit source]

Online Textbooks[edit | edit source]

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]

Wikipedia[edit | edit source]

See also[edit | edit source]

{{Mathematics resources}}