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Welcome to Calculus courses! Calculus is one of the most beautiful branches in Mathematics and also the foundation of varies aspects including Science, Economics and Engineering. In this course, you will have a brief introduction on how calculus works and how to do calculus problems.

Calculus, can be simply treated as a mathematical tool to investigate what happen in an instantaneous time, or infinitesimal space. For example, you can find the velocity of a car in an instantaneous time instead of the average time using differentiation. Calculus is formed by two main components: Differentiation and Integration. Both of them are very important tools in different aspects and you will learn them in this course.

Calculus was developed independently in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. In this course, you will learn the notation $$f'(x)$$and$$\frac{d}{dx}$$and both of them refers to integration. $$f'(x)$$notation is invented by Isaac Newton but the $$\frac{d}{dx}$$notation invented by Leibniz is widely use even Leibniz is less famous than Newton, thanks to the convince of the d/dx notation. You will know why d/dx is more convenient than f'(x) in this course

Lectures
Calculus should included three main sections: Calculus I, Calculus II and Calculus III. Calculus I Includes topics from Pre-calculus to simple integration. Calculus II includes topics from Simple integration to Vector. Calculus III includes topics from multivariable calculus to vector calculus.

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

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
 * James Stewart. (2014). Calculus - Early Transcendentals (Eighth Edition) ISBN 978-1-285-74155-0

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

 * Calculus
 * List of basic calculus topics
 * List of calculus topics
 * Stochastic calculus

Resources

 * Calculus I
 * Calculus II