Succeed at calculus-the most feared of all math subjects-with this thorough and easy-to-follow guide taught by an award-winning math educator.
Understanding Calculus: Problems, Solutions and Tips
Overview
Syllabus
- By This Professor
- 01: A Preview of Calculus
- 02: Review—Graphs, Models, and Functions
- 03: Review—Functions and Trigonometry
- 04: Finding Limits
- 05: An Introduction to Continuity
- 06: Infinite Limits and Limits at Infinity
- 07: The Derivative and the Tangent Line Problem
- 08: Basic Differentiation Rules
- 09: Product and Quotient Rules
- 10: The Chain Rule
- 11: Implicit Differentiation and Related Rates
- 12: Extrema on an Interval
- 13: Increasing and Decreasing Functions
- 14: Concavity and Points of Inflection
- 15: Curve Sketching and Linear Approximations
- 16: Applications—Optimization Problems, Part 1
- 17: Applications—Optimization Problems, Part 2
- 18: Antiderivatives and Basic Integration Rules
- 19: The Area Problem and the Definite Integral
- 20: The Fundamental Theorem of Calculus, Part 1
- 21: The Fundamental Theorem of Calculus, Part 2
- 22: Integration by Substitution
- 23: Numerical Integration
- 24: Natural Logarithmic Function—Differentiation
- 25: Natural Logarithmic Function—Integration
- 26: Exponential Function
- 27: Bases other than e
- 28: Inverse Trigonometric Functions
- 29: Area of a Region between 2 Curves
- 30: Volume—The Disk Method
- 31: Volume—The Shell Method
- 32: Applications—Arc Length and Surface Area
- 33: Basic Integration Rules
- 34: Other Techniques of Integration
- 35: Differential Equations and Slope Fields
- 36: Applications of Differential Equations
Taught by
Bruce H. Edwards
