Calculus with Applications
by Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
12th Edition
Publisher: Pearson
Book Details
| Print ISBN | 9780135871072 |
| eText ISBN | 9780135871379 |
| Publisher | Pearson |
| Publishing Year | 2022 |
| Edition | 12th Edition |
| Language | English |
Calculus with Applications, 12th Edition is an applied calculus textbook designed for college and university level instruction. The text introduces mathematical tools to guide students through real-world problem solving across academic disciplines.
The content addresses quantitative problem solving through specific application areas. Students encounter targeted examples in business and economics alongside practical scenarios from the life sciences and social sciences.
The volume incorporates applications using real data to connect mathematical theory with concrete practice. This structure supports introductory study in two-semester or multi-quarter course sequences designed for freshman and sophomore students.
Table of Contents
Chapter R: Algebra Reference
- • R.1 Polynomials
- • R.2 Factoring
- • R.3 Rational Expressions
- • R.4 Equations
- • R.5 Inequalities
- • R.6 Exponents
- • R.7 Radicals
Chapter 1: Linear Functions
- • 1.1 Slopes and Equations of Lines
- • 1.2 Linear Functions and Applications
- • 1.3 The Least Squares Line
- • Chapter 1 Review
- • Extended Application: Predicting Life Expectancy
Chapter 2: Nonlinear Functions
- • 2.1 Properties of Functions
- • 2.2 Quadratic Functions; Translation and Reflection
- • 2.3 Polynomial and Rational Functions
- • 2.4 Exponential Functions
- • 2.5 Logarithmic Functions
- • 2.6 Applications: Growth and Decay; Mathematics of Finance
- • Chapter 2 Review
- • Extended Application: Power Functions
Chapter 3: The Derivative
- • 3.1 Limits
- • 3.2 Continuity
- • 3.3 Rates of Change
- • 3.4 Definition of the Derivative
- • 3.5 Graphical Differentiation
- • Chapter 3 Review
- • Extended Application: A Model for Drugs Administered Intravenously
Chapter 4: Calculating the Derivative
- • 4.1 Techniques for Finding Derivatives
- • 4.2 Derivatives of Products and Quotients
- • 4.3 The Chain Rule
- • 4.4 Derivatives of Exponential Functions
- • 4.5 Derivatives of Logarithmic Functions
- • Chapter 4 Review
- • Extended Application: Electric Potential and Electric Field
Chapter 5: Graphs and the Derivative
- • 5.1 Increasing and Decreasing Functions
- • 5.2 Relative Extrema
- • 5.3 Higher Derivatives, Concavity, and the Second Derivative Test
- • 5.4 Curve Sketching
- • Chapter 5 Review
- • Extended Application: A Drug Concentration Model for Orally Administered Medications
Chapter 6: Applications of the Derivative
- • 6.1 Absolute Extrema
- • 6.2 Applications of Extrema
- • 6.3 Further Business Applications
- • 6.4 Implicit Differentiation
- • 6.5 Related Rates
- • 6.6 Differentials: Linear Approximation
- • Chapter 6 Review
- • Extended Application: A Total Model for a Training Program
Chapter 7: Integration
- • 7.1 Antiderivatives
- • 7.2 Substitution
- • 7.3 Area and the Definite Integral
- • 7.4 The Fundamental Theorem of Calculus
- • 7.5 The Area Between Two Curves
- • 7.6 Numerical Integration
- • Chapter 7 Review
- • Extended Application Estimating Depletion Dates for Minerals
Chapter 8: Further Techniques and Applications of Integration
- • 8.1 Integration by Parts
- • 8.2 Volume and Average Value
- • 8.3 Continuous Money Flow
- • 8.4 Improper Integrals
- • Chapter 8 Review
- • Extended Application: Estimating Learning Curves in Manufacturing With Integrals
Chapter 9: Multivariable Calculus
- • 9.1 Functions of Several Variables
- • 9.2 Partial Derivatives
- • 9.3 Maxima and Minima
- • 9.4 Lagrange Multipliers
- • 9.5 Total Differentials and Approximations
- • 9.6 Double Integrals
- • Chapter 9 Review
- • Extended Application: Using Multivariable Fitting to Create a Response Surface Design
Chapter 10: Differential Equations
- • 10.1 Solutions of Elementary and Separable Differential Equations
- • 10.2 Linear First-Order Differential Equations
- • 10.3 Euler's Method
- • 10.4 Applications of Differential Equations
- • Chapter 10 Review
- • Extended Application: Pollution of the Great Lakes
Chapter 11: Probability and Calculus
- • 11.1 Continuous Probability Models
- • 11.2 Expected Value and Variance of Continuous Random Variables
- • 11.3 Special Probability Density Functions
- • Chapter 11 Review
- • Extended Application Exponential Waiting Times
Chapter 12: Sequences and Series
- • 12.1 Geometric Sequences
- • 12.2 Annuities: An Application of Sequences
- • 12.3 Taylor Polynomials at 0
- • 12.4 Infinite Series
- • 12.5 Taylor Series at 0
- • 12.6 Newton's Method
- • 12.7 L'Hôpital's Rule
- • Chapter 12 Review
- • Extended Application: Living Assistance and Subsidized Housing
Chapter 13: The Trigonometric Functions
- • 13.1 Definitions of the Trigonometric Functions
- • 13.2 Derivatives of Trigonometric Functions
- • 13.3 Integrals of Trigonometric Functions
- • Chapter 13 Review
- • Extended Application: The Shortest Time and the Cheapest Path
Chapter Appendix: Appendix
- • 1. Solutions to Prerequisite Skills Diagnostic Test
- • 2. Tables
- • Complete Instructor Answers
- • Credits
- • Index of Applications
- • Index
- • Sources
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▶Research Sources (11)
- Calculus with Applications - ISBN 9780135871379
- 9780135871379: Calculus with Applications
- Calculus with Applications [Rental Edition]
- Math 16A textbook : r/berkeley
- Calculus with Applications 12th Edition – Original PDF ebook
- CALCULUS W/APPLICATIONS 12th Edition Textbook Solutions
- ISBN 9780135871072 - Calculus with Applications 12th Edition ...
- Calculus with Applications 12th Ed - Complete Solutions Guide
- Calculus with Applications 12th Edition Textbook
- Calculus with Applications
- Calculus with Applications, 11th Edition | PDF | Integral | Derivative
