Calculus Textbook Math 175: Calculus II
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Course Topics

Textbook: Calculus (6th edition) by James Stewart

1.1:  Four Ways to Represent a Function
1.2:  Mathematical Models: A Catalog of Essential Functions
1.3:  New Functions from Old Functions
2.1:  The Tangent and Velocity Problems
2.2:  The Limit of a Function
2.3:  Calculating Limits Using the Limit Laws
2.4:  The Precise Definition of a Limit
2.5:  Continuity
3.1:  Derivatives and Rates of Change
3.2:  The Derivative as a Function
3.3:  Differentiation Formulas
3.4:  Derivatives of Trigonometric Functions
3.5:  The Chain Rule
3.6:  Implicit Differentiation
3.7:  Rates of Change in the Natural and Social Sciences
3.9:  Linear Approximations and Differentials
4.1:  Maximum and Minimum Values
4.2:  The Mean Value Theorem
4.3:  How Derivatives Affect the Shape of a Graph
4.4:  Limits at Infinity: Horizontal Asymptotes
4.5:  Summary of Curve Sketching
4.7:  Optimization Problems
4.8:  Newton's Method
4.9:  Antiderivatives
5.1:  Areas and Distances
5.2:  The Definite Integral
5.3:  The Fundamental Theorem of Calculus
5.4:  Indefinite Integrals and the Net Change Theorem
5.5:  The Substitution Rule
6.1:  Areas Between Curves
6.2:  Volumes
6.3:  Volumes by Cylindrical Shells

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