Calculus

Educational level: this is a tertiary (university) resource.

Wikibooks has a book on the topic of Calculus.

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

• Calculus/Introduction
• Definitions
• Calculus I
• Calculus II
• Fundamental Calculus
• Quick Reference

Osnabrück Calculus

Mathematics for Applied Sciences (Osnabrück 2023-2024)/Part I is a course for beginners at the University of Osnabrück. It covers logical foundation, sets, mappings, algebraic structures like fields and polynomials, the basics of analysis like sequences, continuity, differentiability, primitive functions and the basics of linear algebra like vector spaces, bases, linear maps, eigenvalues. While course has been taught many times, this is a textbook -- not an online course. The lectures dealing with calculus are as follows.

Contents • Logic and argumentation• Quantifiers and induction• Sets and mappings• Fields• Complex numbers• Polynomials• Approximation and convergence• Completeness• Series• Continuity• Intermediate value theorem• Exponential function• Trigonometry• Differentiability• Mean value theorem• The number ${\displaystyle {}\pi }$• Taylor series• Integration• Fundamental theorem of calculus• Rules for integration

Lessons

Wikibooks has a well developed Calculus Book in 10 sections which this Wikiversity web course should mirror to maximize resources.

Offsite Courses

Lamar

• Calculus I
• Calculus II

MIT

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

Other Resources

• Calculus
• Various Calculus Problems
• Calculus of generating functions

See also

• MacLaurin series

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