Calculus with Applications 11th Edition, (Ebook PDF) – Digital Instant Dowload.
Product details:
- ISBN-10 : 0133864561
- ISBN-13 : 978-0133864564
- Author:
Calculus with Applications, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to help them learn the material, such as Warm-Up Exercises and added “help text” within examples.
Table of contents:
1. Linear Functions
1-1 Slopes and Equations of Lines
1-2 Linear Functions and Applications
1-3 The Least Squares Line
Chapter Review
Extended Application: Using Extrapolation to Predict Life Expectancy
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 Review
Extended Application: Characteristics of the Monkeyface Prickleback
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
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 Review
Extended Application: Electric Potential and Electric Field
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 Review
Extended Application: A Drug Concentration Model for Orally Administered
Medications
6. Applications of the Derivative
6-1 Absolute Extrema
6-2 Applications of Extrema
6-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
6-4 Implicit Differentiation
6-5 Related Rates
6-6 Differentials: Linear Approximation
Chapter Review
Extended Application: A Total Cost Model for a Training Program
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 Review
Extended Application: Estimating Depletion Dates for Minerals
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 Review
Extended Application: Estimating Learning Curves in Manufacturing with Integrals
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 Review
Extended Application: Using Multivariable Fitting to Create a Response Surface Design
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 Review
Extended Application: Pollution of the Great Lakes
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 Review
Extended Application: Exponential Waiting Times
12. Sequences and Series
12-1 Geometric Sequences
12-2 Annuities: An Application of Sequences
12-3 Taylor Polynomials
12-4 Infinite Series
12-5 Taylor Series
12-6 Newton’s Method
12-7 L’Hospital’s Rule
Chapter Review
13. The Trigonometric Functions
13-1 Definitions of the Trigonometric Functions
13-2 Derivatives of Trigonometric Functions
13-3 Integrals of Trigonometric Functions
Chapter Review
Extended Application: The Shortest Time and the Cheapest Path
Tables
Table 1 Formulas of Geometry
Table 2 Area Under a Normal Curve
Table 3 Integrals
Table 4 Integrals Involving Trigonometric Functions
Answers to Selected Exercises
Photo Acknowledgements
Index