Includes bibliographical references and index.

Chapter 1: Understanding limits and continuity -- Lesson 1.1 Illustrating the limit of a function using a table of values -- Lesson 1.2 Illustrating the limit of a function using graphs -- Lesson 1.3 Evaluating the limits of algebraic functions -- Lesson 1.4 Understanding one-sided limits -- Lesson 1.5 Illustrating infinite limits -- Lesson 1.6 Understanding limits at infinity -- Lesson 1.7 Evaluating the limits of trigonometric functions -- Lesson 1.8 Evaluating the limits of exponential functions -- Lesson 1.9 Evaluating the limits of logarithmic functions -- Lesson 1.10 Understanding continuity of a function at a number -- Lesson 1.11 Understanding continuity of a function on a interval -- Lesson 1.12 Understanding the intermediate value theorem -- Lesson 1.13 Solving problems involving continuity of a function -- Chapter 2: Understanding derivative -- Lesson 2.1 Understanding the derivative of a function -- Lesson 2.2 Finding the derivatives of algebraic functions -- Lesson 2.3 Using the chain rule for differentiation -- Lesson 2.4 Finding the derivatives of trigonometric functions -- Lesson 2.5 Finding the derivatives of exponential functions -- Lesson 2.6 Finding the derivatives of logarithmic functions -- Lesson 2.7 Performing implicit differentiation -- Lesson 2.8 Finding higher-order derivatives -- Lesson 2.9 Relating the derivatives of a function and the slope of the tangent line -- Lesson 2.10 Understanding derivatives as a rate of change -- Lesson 2.11 Solving related rates problems -- Lesson 2.12 Finding the maximum and minimum function values -- Lesson 2.13 Solving optimization problems -- Chapter 3: Understanding integration -- Lesson 3.1 Illustrating the antiderivative of a function -- Lesson 3.2 Finding the antiderivatives of algebraic functions -- Lesson 3.3 Finding the antiderivatives of logarithmic functions -- Lesson 3.4 Finding the antiderivatives of logarithmic functions -- Lesson 3.5 Finding the antiderivatives of trigonometric functions -- Lesson 3.6 Solving problems involving exponential growth and decay -- Lesson 3.7 Defining the definite integral using riemann sums -- Lesson 3.8 Evaluating definite integral -- Lesson 3.9 Computing the areas of plane regions using definete integral.