Select a section from the list below for additional problem sets.

Chapter 1: Functions, Graphs, and Limits
1.1 The Cartesian Plane and the Distance Formula
1.2 Graphs of Equations
1.3 Lines in the Plane and Slope
1.4 Functions
1.5 Limits
1.6 Continuity
Review

Chapter 2: Differentiation
2.1 The Derivative and the Slope of a Graph
2.2 Some rules for Differentiation
2.3 Rates of Change: Velocity and Marginals
2.4 The Product and Quotient Rules
2.5 The Chain Rule
2.6 Higher
2.7 Implicit Differentiation
2.8 Related Rates
Review

Chapter 3: Applications of the Derivative
3.1 Increasing and Decreasing Functions
3.2 Extrema and the First-Derivative Test
3.3 Concavity and the Second-Derivative Test
3.4 Optimization Problems
3.5 Business and Economics Applications
3.6 Asymptotes
3.7 Curve Skeching: A Summary
3.8 Differentials and Marginal Analysis
Review

Chapter 4: Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Derivatives of Exponential Functions
4.3 Logarithmic Functions
4.4 Derivatives of Logarithmic Functions
4.5 Exponential Growth and Decay

Chapter 5: Integration and its Applications
5.1 Antiderivatives and Indefinite Integrals
5.2 The General Power Rule
5.3 Exponential and Logarithmic Integrals
5.4 Area and the Fundamental Theorem of Calculus
5.5 The Area of a Region Bounded by Two Graphs
5.6 The Definite Integral as the Limit of a Sum
5.7 Volumes of Solids of Revolution

Chapter 6: Techniques of Integration
6.1 Integration by Substitution
6.2 Integration by Parts and Present Value
6.3 Partial Fractions and Logistics Growth
6.4 Integration Tables and Completing the Square
6.5 Numerical Integration
6.6 Improper Integrals

Chapter 7: Functions of Several Variables
7.1 The Three-Dimensional Coordinate System
7.2 Surfaces in Space
7.3 Functions of Several Variables
7.4 Partial Derivatives
7.5 Extrema of Functions of Two Variables
7.6 Lagrange Multipliers
7.7 Least Squares Regression Analysis
7.8 Double Integrals and Area in the Plane
7.9 Applications of Double Integrals

Chapter 8: Trigonometric Functions
8.1 Radian Measure of Angles
8.2 The Trigonometric Functions
8.3 Graphs of Trigonometric Functions
8.4 Derivatives of Trigonometric Functions
8.5 Integrals of Trigonometric Functions
8.6 L'Hôpital's Rule

Chapter 9: Probability and Calculus
9.1 Discrete Probability
9.2 Continuous Random Variables
9.3 Expected Value and Variance

Chapter 10: Series and Taylor Polynomials
10.1 Sequences
10.2 Series and Convergence
10.3 p-Series and the Ratio Test
10.4 Power Series and Taylor's Theorem
10.5 Taylor Polynomials
10.6 Newton's Method