1.1 Real Numbers and Number Lines

1.2 Integer Exponents

1.3 Fractional Exponents and Radicals

1.4 Polynomials

1.5 Lines and Their Graphs

1.6a An Introduction to Functions

1.6b Operations with Functions

1.7 Functions and Their Graphs: A Calculator Section

1.8 Functions and Models

1.2 Integer Exponents

1.3 Fractional Exponents and Radicals

1.4 Polynomials

1.5 Lines and Their Graphs

1.6a An Introduction to Functions

1.6b Operations with Functions

1.7 Functions and Their Graphs: A Calculator Section

1.8 Functions and Models

2.1a Left and Right-Hand Limits

2.1b Limits

2.2a Average Rate of Change

2.2b Instantaneous Rate of Change and Interpreting Graphs

2.3a Definition of the Derivative and Power Rule

2.3b Slope and Rate of Change Considered Algebraically

2.4 Applications: Marginal Analysis

2.5a More About Limits

2.5b More about Continuity

2.1b Limits

2.2a Average Rate of Change

2.2b Instantaneous Rate of Change and Interpreting Graphs

2.3a Definition of the Derivative and Power Rule

2.3b Slope and Rate of Change Considered Algebraically

2.4 Applications: Marginal Analysis

2.5a More About Limits

2.5b More about Continuity

3.1 Product and Quotient Rules

3.2 The Chain Rule and the General Power Rule

3.3 Implicit Differentiation and Related Rates

3.4a Increasing and Decreasing Intervals

3.4b Critical Points and the First Derivative Test

3.5 Absolute Maximum and Minimum

3.2 The Chain Rule and the General Power Rule

The Chain Rule and the General Power Rule

The Chain Rule and the General Power Rule (Bonus 1)

The Chain Rule and the General Power Rule (Bonus 2)

The Chain Rule and the General Power Rule (Bonus 3)

The Chain Rule and the General Power Rule (Bonus 1)

The Chain Rule and the General Power Rule (Bonus 2)

The Chain Rule and the General Power Rule (Bonus 3)

3.3 Implicit Differentiation and Related Rates

3.4a Increasing and Decreasing Intervals

3.4b Critical Points and the First Derivative Test

Critical Points and the First Derivative Test

Critical Points and the First Derivative Test (Bonus 1)

Critical Points and the First Derivative Test (Bonus 2)

Critical Points and the First Derivative Test (Bonus 3)

Critical Points and the First Derivative Test (Bonus 1)

Critical Points and the First Derivative Test (Bonus 2)

Critical Points and the First Derivative Test (Bonus 3)

3.5 Absolute Maximum and Minimum

Absolute Maximum and Minimum

Absolute Maximum and Minimum (Bonus 1)

Absolute Maximum and Minimum (Bonus 2)

Absolute Maximum and Minimum (Bonus 3)

Absolute Maximum and Minimum (Bonus 1)

Absolute Maximum and Minimum (Bonus 2)

Absolute Maximum and Minimum (Bonus 3)

4.1a Higher Order Derivatives and Concavity

4.1b Higher Order Derivatives: the Second Derivative Test

4.2 Curve Sketching: Polynomial Functions

4.3 Curve Sketching: Rational Functions

4.4 Business Applications

4.5 Other Applications

4.6 Differentials

Higher Order Derivatives and Concavity

Higher Order Derivatives and Concavity (Bonus 1)

Higher Order Derivatives and Concavity (Bonus 2)

Higher Order Derivatives and Concavity (Bonus 3)

Higher Order Derivatives and Concavity (Bonus 1)

Higher Order Derivatives and Concavity (Bonus 2)

Higher Order Derivatives and Concavity (Bonus 3)

4.1b Higher Order Derivatives: the Second Derivative Test

Higher Order Derivatives: the Second Derivative Test

Higher Order Derivatives: the Second Derivative Test (Bonus 1)

Higher Order Derivatives: the Second Derivative Test (Bonus 2)

Higher Order Derivatives: the Second Derivative Test (Bonus 3)

Higher Order Derivatives: the Second Derivative Test (Bonus 1)

Higher Order Derivatives: the Second Derivative Test (Bonus 2)

Higher Order Derivatives: the Second Derivative Test (Bonus 3)

4.2 Curve Sketching: Polynomial Functions

Curve Sketching: Polynomial Functions

Curve Sketching: Polynomial Functions (Bonus 1)

Curve Sketching: Polynomial Functions (Bonus 2)

Curve Sketching: Polynomial Functions (Bonus 3)

Curve Sketching: Polynomial Functions (Bonus 1)

Curve Sketching: Polynomial Functions (Bonus 2)

Curve Sketching: Polynomial Functions (Bonus 3)

4.3 Curve Sketching: Rational Functions

Curve Sketching: Rational Functions

Curve Sketching: Rational Functions (Bonus 1)

Curve Sketching: Rational Functions (Bonus 2)

Curve Sketching: Rational Functions (Bonus 3)

Curve Sketching: Rational Functions (Bonus 1)

Curve Sketching: Rational Functions (Bonus 2)

Curve Sketching: Rational Functions (Bonus 3)

4.4 Business Applications

Business Applications

Business Applications (Bonus 1)

Business Applications (Bonus 2)

Business Applications (Bonus 3)

Business Applications (Bonus 1)

Business Applications (Bonus 2)

Business Applications (Bonus 3)

4.5 Other Applications

4.6 Differentials

5.1 Exponential Functions

5.2 The Algebra of the Natural Logarithm Function

5.3 Differentiation of Logarithmic Functions

5.4 Differentiation of Exponential Functions

5.5a Applications of Exponential Functions: Growth and Decay

5.5b Logarithmic Differentiation and Elasticity of Demand

5.2 The Algebra of the Natural Logarithm Function

5.3 Differentiation of Logarithmic Functions

5.4 Differentiation of Exponential Functions

5.5a Applications of Exponential Functions: Growth and Decay

5.5b Logarithmic Differentiation and Elasticity of Demand

6.1 The Indefinite Integral

6.2 Integration by Substitution

6.3a The Fundamental Theorem of Calculus

6.3b The Definite Integral

6.4 Area (with Applications)

6.5 Area Between Two Curves (with Applications)

6.6 Differential Equations

The Indefinite Integral

The Indefinite Integral (Bonus 1)

The Indefinite Integral (Bonus 2)

The Indefinite Integral (Bonus 3)

The Indefinite Integral (Bonus 1)

The Indefinite Integral (Bonus 2)

The Indefinite Integral (Bonus 3)

6.2 Integration by Substitution

Integration by Substitution

Integration by Substitution (Bonus 1)

Integration by Substitution (Bonus 2)

Integration by Substitution (Bonus 3)

Integration by Substitution (Bonus 1)

Integration by Substitution (Bonus 2)

Integration by Substitution (Bonus 3)

6.3a The Fundamental Theorem of Calculus

6.3b The Definite Integral

The Definite Integral

The Definite Integral (Bonus 1)

The Definite Integral (Bonus 2)

The Definite Integral (Bonus 3)

The Definite Integral (Bonus 1)

The Definite Integral (Bonus 2)

The Definite Integral (Bonus 3)

6.4 Area (with Applications)

Area (with Applications)

Area (with Applications) (Bonus 1)

Area (with Applications) (Bonus 2)

Area (with Applications) (Bonus 3)

Area (with Applications) (Bonus 1)

Area (with Applications) (Bonus 2)

Area (with Applications) (Bonus 3)

6.5 Area Between Two Curves (with Applications)

Area Between Two Curves (with Applications)

Area Between Two Curves (with Applications) (Bonus 1)

Area Between Two Curves (with Applications) (Bonus 2)

Area Between Two Curves (with Applications) (Bonus 3)

Area Between Two Curves (with Applications) (Bonus 1)

Area Between Two Curves (with Applications) (Bonus 2)

Area Between Two Curves (with Applications) (Bonus 3)

6.6 Differential Equations

7.1 Integration by Parts

7.2 Annuities and Income Streams

7.3 Tables of Integrals

7.4 Improper Integrals

7.5 Probability

7.6 Volume

7.2 Annuities and Income Streams

7.3 Tables of Integrals

7.4 Improper Integrals

7.5 Probability

7.6 Volume

8.1 Functions of Several Variables

8.2 Partial Derivatives

8.3 Local Extrema for Functions of Two Variables

8.4 Lagrange Multipliers

8.5 The Method of Least Squares

8.6 Double Integrals

8.2 Partial Derivatives

8.3 Local Extrema for Functions of Two Variables

8.4 Lagrange Multipliers

8.5 The Method of Least Squares

8.6 Double Integrals

9.1 The Trigonometric Functions

9.2 Derivatives of the Trigonometric Functions

9.3 Integration of the Trigonometric Functions

9.4 Inverse Trigonometric Functions

9.2 Derivatives of the Trigonometric Functions

9.3 Integration of the Trigonometric Functions

9.4 Inverse Trigonometric Functions

10.1 Infinite Sequences

10.2 Taylor Polynomials

10.3 Taylor Series, Infinite Expressions, and Their Applications

10.2 Taylor Polynomials

10.3 Taylor Series, Infinite Expressions, and Their Applications