Textbook Mapping — OpenStax Calculus Volume 1

1.1

Review of Functions

1.1 Review of Functions

1.2

Basic Classes of Functions

1.2 Basic Classes of Functions

1.3

Trigonometric Functions

1.3 Trigonometric Functions

1.4

Inverse Functions

1.4 Inverse Functions

1.5

Exponential and Logarithmic Functions

1.5 Exponential & Logarithmic

2.1

A Preview of Calculus

2.1 Preview of Calculus

2.2

The Limit of a Function

2.2 Limit of a Function

2.3

The Limit Laws

2.3 Limit Laws

2.4

Continuity

2.4 Continuity

2.5

The Precise Definition of a Limit

2.5 Precise Definition of a Limit

3.1

Defining the Derivative

3.1 Defining the Derivative

3.2

The Derivative as a Function

3.2 Differentiation Rules

3.3

Differentiation Rules

3.3 Product & Quotient Rules

3.4

Derivatives as Rates of Change

3.4 Derivatives of Trig Functions

3.5

Derivatives of Trigonometric Functions

3.5 Chain Rule

3.6

The Chain Rule

3.6 Implicit Differentiation

3.7

Derivatives of Inverse Functions

3.7 Inverse Function Derivatives

3.8

Implicit Differentiation

3.8 Related Rates

3.9

Derivatives of Exponential and Logarithmic Functions

3.9 Linear Approximations

4.1

Related Rates

4.1 Maxima & Minima

4.2

Linear Approximations and Differentials

4.2 Mean Value Theorem

4.3

Maxima and Minima

4.3 Shape of a Graph

4.4

The Mean Value Theorem

4.4 Limits at Infinity

4.5

Derivatives and the Shape of a Graph

4.5 Curve Sketching

4.6

Limits at Infinity and Asymptotes

4.6 Applied Optimization

4.7

Applied Optimization Problems

4.7 L’Hopital’s Rule

4.8

L’Hopital’s Rule

4.8 Newton’s Method

4.9

Newton’s Method

4.9 Antiderivatives

4.10

Antiderivatives

4.10 Rectilinear Motion

5.1

Approximating Areas

5.1 Approximating Areas

5.2

The Definite Integral

5.2 Definite Integral

5.3

The Fundamental Theorem of Calculus

5.3 Fundamental Theorem

5.4

Integration Formulas and the Net Change Theorem

5.4 Integration Formulas

5.5

Substitution

5.5 Substitution

5.6

Integrals Involving Exponential and Logarithmic Functions

5.6 Integrals: Exp, Log, Trig

6.1

Areas Between Curves

6.1 Areas Between Curves

6.2

Determining Volumes by Slicing

6.2 Volumes by Slicing

6.3

Volumes of Revolution: Cylindrical Shells

6.3 Volumes: Shells

6.4

Arc Length of a Curve and Surface Area

6.4 Arc Length & Surface Area

6.5

Physical Applications

6.5 Physical Applications