Calculus
Subject classification: this is a mathematics resource. |
Type classification: this resource is a course. |
Educational level: this is a tertiary (university) resource. |
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.
ResourcesEdit
LessonsEdit
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 CoursesEdit
- Lamar
MIT
Other ResourcesEdit
- Calculus
- Calculus courses, notes and books
- Various Calculus Problems
- Calculus of generating functions
Online TextbooksEdit
- 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 TextbooksEdit
- 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 SupplementsEdit
- 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