This course contains problem sets that accompany each section and module. In these problem sets, students are given an opportunity to apply the quantitative-reasoning skills they learned throughout the module.

Answers are only available to the problems with “Show Solution” links below the question prompt.

Module 1: Functions and Graphs

• Problem Set: Review of Functions
• Problem Set: Basic Classes of Functions
• Problem Set: Trigonometric Functions
• Problem Set: Inverse Functions
• Problem Set: Exponential and Logarithmic Functions
• Module 1 Review Problems

Module 2: Limits

• Problem Set: A Preview of Calculus
• Problem Set: The Limit of a Function
• Problem Set: The Limit Laws
• Problem Set: Continuity
• Problem Set: The Precise Definition of a Limit
• Module 2 Review Problems

Module 3: Derivatives

• Problem Set: Defining the Derivative
• Problem Set: The Derivative as a Function
• Problem Set: Differentiation Rules
• Problem Set: Derivatives as Rates of Change
• Problem Set: Derivatives of Trigonometric Functions
• Problem Set: The Chain Rule
• Problem Set: Derivatives of Inverse Functions
• Problem Set: Implicit Differentiation
• Problem Set: Derivatives of Exponential and Logarithmic Functions
• Module 3 Review Problems

Module 4: Applications of Derivatives

• Problem Set: Related Rates
• Problem Set: Linear Approximations and Differentials
• Problem Set: Maxima and Minima
• Problem Set: The Mean Value Theorem
• Problem Set: Derivatives and the Shape of a Graph
• Problem Set: Limits at Infinity and Asymptotes
• Problem Set: Applied Optimization Problems
• Problem Set: L’Hôpital’s Rule
• Problem Set: Newton’s Method
• Problem Set: Antiderivatives
• Module 4 Review Problems

Module 5: Integration

• Problem Set: Approximating Areas
• Problem Set: The Definite Integral
• Problem Set: The Fundamental Theorem of Calculus
• Problem Set: Integration Formulas and the Net Change Theorem
• Problem Set: Substitution
• Problem Set: Integrals Involving Exponential and Logarithmic Functions
• Problem Set: Integrals Resulting in Inverse Trigonometric
• Module 5 Review Problems

Module 6: Applications of Integration

• Problem Set: Areas Between Curves
• Problem Set: Determining Volumes by Slicing
• Problem Set: Volumes of Revolution: Cylindrical Shells
• Problem Set: Arc Length of a Curve and Surface Area
• Problem Set: Physical Applications
• Problem Set: Moments and Centers of Mass
• Problem Set: Integrals, Exponential Functions, and Logarithms
• Problem Set: Exponential Growth and Decay
• Problem Set: Calculus of the Hyperbolic Functions
• Module 6 Review Problems