What is calculus Video:

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Presentation transcript:

What is calculus Video: Calculus is the study of how things change. It provides a framework for modeling systems in which there is change, and a way to deduce the predictions of such models. (http://www-math.mit.edu/~djk/calculus_beginners/chapter01/section02.html ) What is calculus Video: https://www.youtube.com/watch?v=tXnYk5zLPTI

Started in the 17th century by Isaac Newton and Gottfried Leibniz History of Calculus: Started in the 17th century by Isaac Newton and Gottfried Leibniz Possible that it was used as early as the Ancient Greek era. Sir Isaac Newton (1643-1727) Gottfried Leibniz (1646-1716) Two Fields of Calculus: Primarily deals with functions, limits, derivatives, and integrals. Split between the 2 definitions of Newton and Leibniz: 1. The first subfield is called differential calculus. It studies the behavior and rate on how different quantities change. Using the process of differentiation, the graph of a function can actually be computed, analyzed, and predicted. 2. The second subfield is called integral calculus. Integration is the reverse process of differentiation. http://www.storyofmathematics.com/17th_newton.html

Integral Calculus… Finding Areas Differential Calculus… Finding Slope

Prerequisite Pre-Calculus Topics Functions Transformations of Functions Finding slope and velocity Limits

Textbook: Single Variable Calculus with Vector Functions, 7th Edition By: James Stewart Lesson 1.1…