Calculus with applications : brief version
- Author:
- Lial, Margaret L.
- Published:
- Boston : Pearson Addison Wesley, [2012]
- Copyright Date:
- ©2012
- Edition:
- 10th ed. / Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey.
- Physical Description:
- 1 volume (various pagings) : color illustrations ; 28 cm
- Additional Creators:
- Greenwell, Raymond N.
Ritchey, Nathan P.
- Contents:
- Machine generated contents note: ch. 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 -- ch. 1 Linear Functions -- 1.1.Slopes and Equations of Lines -- 1.2.Linear Functions and Applications -- 1.3.The Least Squares Line -- ch. 1 Review -- Extended Application Using Extrapolation to Predict Life Expectancy -- ch. 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 -- ch. 2 Review -- Extended Application Power Functions -- ch. 3 The Derivative -- 3.1.Limits -- 3.2.Continuity -- 3.3.Rates of Change -- 3.4.Definition of the Derivative -- 3.5.Graphical Differentiation -- ch. 3 Review -- Extended Application A Model for Drugs Administered Intravenously -- ch. 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 -- ch. 4 Review -- Extended Application Electric Potential and Electric Field -- ch. 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 -- ch. 5 Review -- Extended Application A Drug Concentration Model for Orally Administered Medications -- ch. 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 -- ch. 6 Review -- Extended Application A Total Cost Model for a Training Program -- ch. 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 -- ch. 7 Review -- Extended Application Estimating Depletion Dates for Minerals -- ch. 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 -- ch. 8 Review -- Extended Application Estimating Learning Curves in Manufacturing with Integrals -- ch. 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 -- ch. 9 Review -- Extended Application Using Multivariable Fitting to Create a Response Surface Design -- Appendix -- A.Solutions to Prerequisite Skills Diagnostic Test -- B.Learning Objectives -- C.MathPrint Operating System for TI-84 and TI-84 Plus Silver Edition -- D.Tables -- 1.Formulas of Geometry -- 2.Integrals.
- Subject(s):
- ISBN:
- 9780321748577
0321748573 - Bibliography Note:
- Includes bibliographical references and index.
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