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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
3.8: Related Rates
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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This page was last updated Monday, June 2, 2008