Calculus. Volume 2 / senior contributing authors: Gilbert Strang, Edwin Herman.

Format:

Book

Author/Creator:

Strang, Gilbert, author.

Contributor:

OpenStax (Nonprofit organization)

Language:

English

Subjects (All):

Mathematics--Textbooks.

Mathematics.

Physical Description:

1 online resource

Other Title:

MTH 192 calculus ii

Place of Publication:

[Place of publication not identified] OpenStax [2016]

Language Note:

In English.

Summary:

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

Contents:

Chapter 1: Integration

1.1 Approximating Areas

1.2 The Definite Integral

1.3 The Fundamental Theorem of Calculus

1.4 Integration Formulas and the Net Change Theorem

1.5 Substitution

1.6 Integrals Involving Exponential and Logarithmic Functions

1.7 Integrals Resulting in Inverse Trigonometric Functions

Chapter 2: Applications of Integration

2.1 Areas between Curves

2.2 Determining Volumes by Slicing

2.3 Volumes of Revolution: Cylindrical Shells

2.4 Arc Length of a Curve and Surface Area

2.5 Physical Applications

2.6 Moments and Centers of Mass

2.7 Integrals, Exponential Functions, and Logarithms

2.8 Exponential Growth and Decay

2.9 Calculus of the Hyperbolic Functions

Chapter 3: Techniques of Integration

3.1 Integration by Parts

3.2 Trigonometric Integrals

3.3 Trigonometric Substitution

3.4 Partial Fractions

3.5 Other Strategies for Integration

3.6 Numerical Integration

3.7 Improper Integrals

Chapter 4: Introduction to Differential Equations

4.1 Basics of Differential Equations

4.2 Direction Fields and Numerical Methods

4.3 Separable Equations

4.4 The Logistic Equation

4.5 First-order Linear Equations

Chapter 5: Sequences and Series

5.1 Sequences

5.2 Infinite Series

5.3 The Divergence and Integral Tests

5.4 Comparison Tests

5.5 Alternating Series

5.6 Ratio and Root Tests

Chapter 6: Power Series

6.1 Power Series and Functions

6.2 Properties of Power Series

6.3 Taylor and Maclaurin Series

6.4 Working with Taylor Series

Chapter 7: Parametric Equations and Polar Coordinates

7.1 Parametric Equations

7.2 Calculus of Parametric Curves

7.3 Polar Coordinates

7.4 Area and Arc Length in Polar Coordinates

7.5 Conic Sections

Notes:

Textbook content produced by OpenStax is licensed under a Creative Commons Attribution Non-Commercial ShareAlike 4.0 International License (CC BY-NC-SA 4.0). CC BY-NC-SA 4.0) cc https://creativecommons.org/licenses/by-nc-sa/4.0/

Description based on online resource

OCLC:

1000327207

Access Restriction:

Unrestricted online access