Calculus with Applications: Brief Version / Edition 6by Margaret L. Lial, Raymond N. Greenwell, Charles D. Miller
Pub. Date: 10/02/1997
KEY MESSAGE: Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased/b>
KEY MESSAGE: Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased visualization and a better understanding of difficult concepts. In addition to MyMathLab®, a complete online course solution, a comprehensive series of video lectures is available for this text.
Algebra Reference (shared with FM, CWA, and Combo):Polynomials, Factoring, Rational Expressions, Equations, Inequalities, Exponents, Radicals; Linear Functions (shared with FM, CWA, and Combo): Slopes and Equations of Lines, Linear Functions and Applications, The Least Squares Line, Chapter Review, Extended Application: Using Extrapolation to Predict Life Expectancy; 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, Chapter Review, Extended Application: Characteristics of the Monkeyface Prickleback; The Derivative: Limits, Continuity, Rates of Change, Definition of the Derivative, Graphical Differentiation, Chapter Review, Extended Application: A Model for Drugs Administered Intravenously (new); Calculating theDerivative: Techniques for Finding Derivatives, Derivatives of Products and Quotients, The Chain Rule, Derivatives of Exponential Functions, Derivatives of Logarithmic Functions, Chapter Review, Extended Application: Electric Potential and Electric Field (new); Graphs and the Derivative: Increasing and Decreasing Functions, Relative Extrema, Higher Derivatives, Concavity, and the Second Derivative Test, Curve Sketching, Chapter Review, Extended Application: A Drug Concentration Model for Orally Administered Medications (new); 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, Chapter Review, Extended Application: A Total Cost Model for a Training Program; Integration: Antiderivatives, Substitution, Area and the Definite Integral, The Fundamental Theorem of Calculus, The Area Between Two Curves, Numerical Integration, Chapter Review, Extended Application: Estimating Depletion Dates for Minerals; Further Techniques and Applications of Integration: Integration by Parts, Volume and Average Value, Continuous Money Flow, Improper Integrals, Chapter Review, Extended Application: Estimating Learning Curves in Manufacturing with Integrals; Multivariable Calculus: Functions of Several Variables, Partial Derivatives, Maxima and Minima, Lagrange Multipliers, Total Differentials and Approximations, Double Integrals, Chapter Review, Extended Application: Using Multivariable Fitting to Create a Response Surface Design; Differential Equations: Solutions of Elementary and Separable Differential Equations, Linear First-Order Differential Equations, Euler's Method, Applications of Differential Equations, Chapter Review, Extended Application: Pollution of the Great Lakes; Probability and Calculus: Continuous Probability Models, Expected Value and Variance of Continuous Random Variables, Special Probability Density Functions, Chapter Review, Extended Application: Exponential Waiting Times; Sequences and Series (From Ray 1/19/07): Geometric Sequences, Annuities: An Application of Sequences. Taylor Polynomials, Infinite Series, Taylor Series, Newton's Method, L'Hospital's Rule, Chapter Review; The Trigonometric Functions: Definitions of the Trigonometric Functions, Derivatives of Trigonometric Functions, Integrals of Trigonometric Functions, Chapter Review, Extended Application: The Shortest Time and the Cheapest Path; Tables: Formulas of Geometry, Area Under a Normal Curve, Integrals, Integrals Involving Trigonometric Functions
For all readers interested in calculus with applications.
- Publication date:
- Edition description:
- Older Edition
- Product dimensions:
- 8.27(w) x 10.63(h) x (d)
Table of Contents
R. Algebra Reference.
1. Linear Functions.
Slope 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.
Applications: Growth and Decay; Mathematics of Finance.
3. The Derivative.
Rates of Change.
Definition of the Derivative.
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.
Higher Derivatives, Concavity, and the Second Derivative Test.
6. Applications of the Derivative.
Applications of Extrema.
Further Business Applications: Economic Lot Size, Economic Order Quantity; Elasticity of Demand.
Differentials: Linear Approximation.
Area and the Definite Integral.
The Fundamental Theorem of Calculus.
The Area Between Two Curves.
8. Further Techniques and Applications of Integration.
Integration by Parts.
Volume and Average Value.
Continuous Money Flow.
9. Multivariable Calculus.
Functions of Several Variables.
Maxima and Minima.
Total Differentials and Approximations.
Table 1. Formulas from Geometry.
Table 2. Integrals.
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