1. 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.
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What is calculus Video:

2. 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 ( )
Gottfried Leibniz ( )
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.

3. Integral Calculus… Finding Areas
Differential Calculus… Finding Slope

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

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