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Calculus with Applications / Edition 8
     

Calculus with Applications / Edition 8

by Margaret L. Lial
 

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ISBN-10: 0321228294

ISBN-13: 9780321228291

Pub. Date: 07/14/2004

Publisher: Addison Wesley

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

Overview

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.

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Product Details

ISBN-13:
9780321228291
Publisher:
Addison Wesley
Publication date:
07/14/2004
Series:
Lial/Greenwell/Ritchey Series
Edition description:
Older Edition
Pages:
656
Product dimensions:
8.18(w) x 10.32(h) x 1.05(d)

Related Subjects

Table of Contents

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.

1. Linear Functions.
Slopes and Equations of Lines.
Linear Functions and Applications.
The Least Squares Line.

2. Nonlinear Functions.
Properties of Functions.
Quadratic Functions; Translation and Reflection.
Polynomial and Rational Functions.
Exponential Functions.
Logarithmic Functions.
Applications. Growth and Decay; Mathematics of Finance.

3. The Derivative.
Limits.
Continuity.
Rates of Change.
Definition of the Derivative.
Graphical Differentiation.

4. Calculating the Derivative.
Techniques for Finding Derivatives.
Derivatives of Products and Quotients.
The Chain Rule.
Derivatives of Exponential Functions.
Derivatives of Logarithmic Functions.

5. Graphs and the Derivative.
Increasing and Decreasing Functions.
Relative Extrema.
Higher Derivatives, Concavity, and the Second Derivative Test.
Curve Sketching.

6. Applications of the Derivative.
Absolute Extrema.
Applications of Extrema.
Further Business Applications: Economic Lot Size, Economic Order Quantity; Elasticity of Demand.
Implicit Differentiation.
Related Rates.
Differentials: Linear Approximation.

7. Integration.

Antiderivatives.
Substitution.
Area and the Definite Integral.
The Fundamental Theorem of Calculus.
The Area Between Two Curves.
Numerical Integration.

8. Further Techniques and Applications of Integration.
Integration by Parts.
Volume and Average Value.
Continuous Money Flow.
Improper Integrals.

9. Multivariable Calculus.
Functions of Several Variables.
Partial Derivatives.
Maxima and Minima.
Lagrange Multipliers.
Total Differentials and Approximations.
Double Integrals.

10. Differential Equations.
Solutions of Elementary and Separable Differential Equations.
Linear First-Order Differential Equations.
Euler's Method.
Applications of Differential Equations.

11. Probability and Calculus.
Continuous Probability Models.
Expected Value and Variance of Continuous Random Variables.
Special Probability Density Functions.

12. Sequences and Series.
Geometric Sequences.
Annuities: An Application of Sequences.
Taylor Polynomials at 0.
Infinite Series.
Taylor Series.
Newton's Method.
L'Hôpital's Rule.

13. The Trigonometric Functions.
Definitions of the Trigonometric Functions.
Derivatives of Trigonometric Functions.
Integrals of Trigonometric Functions.

Tables.
Table 1. Formulas from Geometry.
Table 2. Area Under a Normal Curve.
Table 3. Integrals.
Table 4. Integrals Involving Trigonometric Functions.

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