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Course Topics

Textbook: Calculus (6th edition) by James Stewart

7.1: Inverse Functions
7.2: Exponential Functions and Their Derivatives or 7.2* The Natural Logarithmic Function
7.3: Logarithmic Functions or 7.3* The Natural Exponential Function
7.4: Derivatives of Logarithmic Functions or 7.4* General Logarithmic and Exponential Functions
7.6: Inverse Trigonometric Functions
7.8: Indeterminate Forms and L'Hospital's Rule
8.1: Integration by Parts
8.2: Trigonometric Integrals
8.3: Trigonometric Substitution
8.4: Integration of Rational Functions by Partial Fractions
8.5: Strategy for Integration
8.8: Improper Integrals
9.1: Arc Length
9.2: Area of a Surface of Revolution
11.1: Curves Defined by Parametric Equations
11.2: Calculus with Parametric Curves
11.3: Polar Coordinates
12.1 Sequences
12.2: Series
12.3: The Integral Test and Estimates of Sums
12.4: The Comparison Tests
12.5: Alternating Series
12.6: Absolute Convergence and the Ratio and Root Tests
12.7: Strategy for Testing Series
12.8: Power Series
12.9: Representations of Functions as Power Series
12.10: Taylor and Maclaurin Series
12.11: Applications of Taylor Polynomials