Calculus & Its Applications

Calculus & Its Applications, 14th edition

  • Larry J. Goldstein, 
  • David C. Lay, 
  • David I. Schneider, 
  • Nakhle H. Asmar

Choose the option that's right for you

Single

$9.99 / mo

4-month minimum term for $39.96

  • Access this eText title
  • Up to 2 devices

Multi

$14.99 / mo

4-month minimum term for $59.96

  • Access over 1,500 titles
  • Up to 2 devices
  • Discounted tutor access

Learn more, spend less

  • Icon

    Watch and learn

    Videos & animations bring concepts to life

  • Icon

    Learn anytime, anywhere

    Get the app to access your eText whenever you need it

  • Icon

    Make it your own

    Your notes. Your highlights. Your eText

  • Icon

    Find it fast

    Quickly navigate your eText with search

  • Icon

    Stay organized

    Access all your eTexts in one place

Overview

Calculus & Its Applications builds intuition, presenting key concepts of calculus before the analytical material. For example, the authors explain the derivative geometrically before they present limits. The significant applications introduced early in the course serve to motivate you and make the mathematics more accessible.

Published by Pearson (December 11th 2020) - Copyright © 2018

ISBN-13: 9780137400096

Subject: Finite Math & Applied Calculus

Category: Applied Calculus

Table of contents

0. Functions
0.1 Functions and Their Graphs
0.2 Some Important Functions
0.3 The Algebra of Functions
0.4 Zeros of Functions - The Quadratic Formula and Factoring
0.5 Exponents and Power Functions
0.6 Functions and Graphs in Applications

1. The Derivative
1.1 The Slope of a Straight Line
1.2 The Slope of a Curve at a Point
1.3 The Derivative and Limits
1.4 Limits and the Derivative
1.5 Differentiability and Continuity
1.6 Some Rules for Differentiation
1.7 More About Derivatives
1.8 The Derivative as a Rate of Change

2. Applications of the Derivative
2.1 Describing Graphs of Functions
2.2 The First and Second Derivative Rules
2.3 The First and Section Derivative Tests and Curve Sketching
2.4 Curve Sketching (Conclusion)
2.5 Optimization Problems
2.6 Further Optimization Problems
2.7 Applications of Derivatives to Business and Economics

3. Techniques of Differentiation
3.1 The Product and Quotient Rules
3.2 The Chain Rule
3.3 Implicit Differentiation and Related Rates

4. The Exponential and Natural Logarithm Functions
4.1 Exponential Functions
4.2 The Exponential Function ex
4.3 Differentiation of Exponential Functions
4.4 The Natural Logarithm Function
4.5 The Derivative of ln x
4.6 Properties of the Natural Logarithm Function

5. Applications of the Exponential and Natural Logarithm Functions
5.1 Exponential Growth and Decay
5.2 Compound Interest
5.3. Applications of the Natural Logarithm Function to Economics
5.4. Further Exponential Models

6. The Definite Integral
6.1 Antidifferentiation
6.2 The Definite Integral and Net Change of a Function
6.3 The Definite Integral and Area Under a Graph
6.4 Areas in the xy-Plane
6.5 Applications of the Definite Integral

7. Functions of Several Variables
7.1 Examples of Functions of Several Variables
7.2 Partial Derivatives
7.3 Maxima and Minima of Functions of Several Variables
7.4 Lagrange Multipliers and Constrained Optimization
7.5 The Method of Least Squares
7.6 Double Integrals

8. The Trigonometric Functions
8.1 Radian Measure of Angles
8.2 The Sine and the Cosine
8.3 Differentiation and Integration of sin t and cos t
8.4 The Tangent and Other Trigonometric Functions

9. Techniques of Integration
9.1 Integration by Substitution
9.2 Integration by Parts
9.3 Evaluation of Definite Integrals
9.4 Approximation of Definite Integrals
9.5 Some Applications of the Integral
9.6 Improper Integrals

10. Differential Equations
10.1 Solutions of Differential Equations
10.2 Separation of Variables
10.3 First-Order Linear Differential Equations
10.4 Applications of First-Order Linear Differential Equations
10.5 Graphing Solutions of Differential Equations
10.6 Applications of Differential Equations
10.7 Numerical Solution of Differential Equations

11. Taylor Polynomials and Infinite Series
11.1 Taylor Polynomials
11.2 The Newton-Raphson Algorithm
11.3 Infinite Series
11.4 Series with Positive Terms
11.5 Taylor Series

12. Probability and Calculus
12.1 Discrete Random Variables
12.2 Continuous Random Variables
12.3 Expected Value and Variance
12.4 Exponential and Normal Random Variables
12.5 Poisson and Geometric Random Variables

Your questions answered

Introducing Pearson+. Reimagined learning, designed for you. Choose from one eText or over 1,500 eTexts and study tools, all in one place, for one low monthly subscription. A new way to buy books that fits your budget. Make the most of your study time with offline access, enhanced search, notes and flashcards — to get organized, get the work done quicker and get results. Plus, with the app, put textbooks in your pocket and learn wherever. It's time to upgrade the textbook and simplify learning, so you can have time to live too.

Pearson eText is an easy-to-use digital textbook available from Pearson+. Make it your own by adding notes and highlights. Download the Pearson+ mobile app to learn on the go, even offline. Listen on the go with our new audiobook feature, available for most titles.

When you choose a plan, you're signing up for a 4-month term. We will charge your payment method each month until your 4-month term has ended. After that, we'll automatically renew your subscription and charge you on a month-to-month basis unless you turn off auto-renewal in My account.

When you purchase a Pearson+ subscription, it will last a minimum of 4 months, and then automatically renew each month thereafter unless you turn off auto-renew in My account.

If you want to stop your subscription at the end of your 4-month term, simply turn off auto-renew from My account. To avoid the next payment charge, make sure you turn auto renewal off 1 day before the auto renewal date.

You can subscribe again after auto-renew has been turned off by purchasing another Pearson+ subscription.

We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details before your first monthly payment.

With a Multi Pearson+ subscription plan, you can download up to 5 titles on the Pearson+ app from My list on each of your authorized devices every month.

When you're using your Multi Pearson+ subscription plan in a browser, you can select and read from as many titles as you like.