Calculus and it's applications / Marvin L. Bittinger

By: Bittinger, Marvin L [author]
Contributor(s): Ellenbogen, David | Surgent, Scott Adam
Publisher: Singapore : Pearson Education, 2016Description: 617 pages ; 27 cmContent type: text Media type: unmediated Carrier type: volumeISBN: 9789813130135Subject(s): CalculusDDC classification: 515
Contents:
Preface Prerequisite Skills Diagnostics Test Chapter R Functions, Graphs, and Models R.1 Graphs and Equations R.2 Functions and Models R.3 Finding Domain and Range R.4 Slope and Linear Functions R.5 Nonlinear Functions and Curve Fitting R.6 Mathematical Modeling and Curve Fitting Chapter 1 Differentiation 1.1 Limits: A Numerical and Graphical Approach 1.2 Algebraic Limits and Continuity 1.3 Average Rates of Change 1.4 Differentiation Using Limits of Difference Quotients 1.5 The Power and Sum- Difference Rules 1.6 The Product and Quotient Rules 1.7 The Chain Rule 1.8 Higher-Order Derivatives Chapter 2 Applications of Differentiation 2.1 Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs 2.2 Using Second Derivatives to Classify Maximum and Minimum Values and Sketch Graphs 2.3 Graph Sketching: Asymptotes and Rational 2.4 Using Derivatives to Find Absolute Maximum 2.5 Maximum-Minimum Problems; Business, Economics, and General Application 2.6 Marginals and Differentials 2.7 Elasticity of Demand 2.8 Implicit Differentiation and Related Rates Chapter 3 Exponential and Logarithmic Functions 3.1 Exponential Functions 3.2 Logarithmic Function 3.3 Applications: Uninhibited and Limited Growth Models 3.4 Application: Decay 3.5 The Derivatives of a and log x; Application: Annuities 3.6 A Business Application: Amortization Chapter 4 Integration 4.1 Antidifferentiation 4.2 Antiderivatives as Areas 4.3 Are and Definite Integrals 4.4 Properties of Definite Integrals 4.5 Integration Techniques: Substitution 4.6 Integration Techniques: Integration by Parts 4.7 Integration Techniques: Table Chapter 5 Applications of Integration 5.1 Consumer Surplus and Producer Surplus 5.2 Integrating Growth and Decay Models 5.3 Improper Integrals 5.4 Probability 5.5 Probability: Expected Value; The Normal Distribution 5.6 Volume 5.7 Differential Equations Chapter 6 Functions of Several Variables 6.1 Functions of Several Variables 6.2 Partial Derivatives 6.3 Maximum-Minimum Problems 6.4 An Application: The Least- Squares Technique 6.5 Constrained Optimization 6.6 Double Integrals Cumulative Review Appendix A: Review of Basic Algebra Appendix B: Regression and Microsoft Excel Table A: Areas of a Standard Normal Distribution Answers Index of Application Index
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HIGH SCHOOL LIBRARY - SHS
SUBJECT REFERENCE 		515 (Browse shelf) Available CITU-HS-SHS393
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Includes index of applications and index.

Preface Prerequisite Skills Diagnostics Test Chapter R Functions, Graphs, and Models R.1 Graphs and Equations R.2 Functions and Models R.3 Finding Domain and Range R.4 Slope and Linear Functions R.5 Nonlinear Functions and Curve Fitting R.6 Mathematical Modeling and Curve Fitting Chapter 1 Differentiation 1.1 Limits: A Numerical and Graphical Approach 1.2 Algebraic Limits and Continuity 1.3 Average Rates of Change 1.4 Differentiation Using Limits of Difference Quotients 1.5 The Power and Sum- Difference Rules 1.6 The Product and Quotient Rules 1.7 The Chain Rule 1.8 Higher-Order Derivatives Chapter 2 Applications of Differentiation 2.1 Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs 2.2 Using Second Derivatives to Classify Maximum and Minimum Values and Sketch Graphs 2.3 Graph Sketching: Asymptotes and Rational 2.4 Using Derivatives to Find Absolute Maximum 2.5 Maximum-Minimum Problems; Business, Economics, and General Application 2.6 Marginals and Differentials 2.7 Elasticity of Demand 2.8 Implicit Differentiation and Related Rates Chapter 3 Exponential and Logarithmic Functions 3.1 Exponential Functions 3.2 Logarithmic Function 3.3 Applications: Uninhibited and Limited Growth Models 3.4 Application: Decay 3.5 The Derivatives of a and log x; Application: Annuities 3.6 A Business Application: Amortization Chapter 4 Integration 4.1 Antidifferentiation 4.2 Antiderivatives as Areas 4.3 Are and Definite Integrals 4.4 Properties of Definite Integrals 4.5 Integration Techniques: Substitution 4.6 Integration Techniques: Integration by Parts 4.7 Integration Techniques: Table Chapter 5 Applications of Integration 5.1 Consumer Surplus and Producer Surplus 5.2 Integrating Growth and Decay Models 5.3 Improper Integrals 5.4 Probability 5.5 Probability: Expected Value; The Normal Distribution 5.6 Volume 5.7 Differential Equations Chapter 6 Functions of Several Variables 6.1 Functions of Several Variables 6.2 Partial Derivatives 6.3 Maximum-Minimum Problems 6.4 An Application: The Least- Squares Technique 6.5 Constrained Optimization 6.6 Double Integrals Cumulative Review Appendix A: Review of Basic Algebra Appendix B: Regression and Microsoft Excel Table A: Areas of a Standard Normal Distribution Answers Index of Application Index

500-599 515

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