by S. T. Tan
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In the Fifth Edition of Applied Calculus for the Managerial, Life, and Social Sciences, author Soo Tan builds on the features that have made his books market leaders-a real-life, problem-solving approach coupled with a concise writing style, a wealth of interesting and illustrative applications to help readers understand the material, and technology coverage that is integrated, but optional, throughout the book. Tan is well known for his ability to present quantitative techniques in an intuitive and accessible yet accurate manner.
Benefits:
Author Bio
Tan, S.T. : Stonehill College
1. PRELIMINARIES.
Precalculus Review I.
Precalculus Review II.
The Cartesian Coordinate System.
Straight Lines.
Chapter 1 Summary of Principal Formulas and Terms.
Chapter 1 Review Exercises.
2. FUNCTIONS, LIMITS, AND THE DERIVATIVE.
Functions and Their Graphs.
The Algebra of Functions.
Functions and Mathematical Models.
Limits.
One-Sided Limits and Continuity.
The Derivative.
Chapter 2 Summary of Principal Formulas and Terms.
Chapter 2 Review Exercises.
3. DIFFERENTIATION.
Basic Rules of Differentiation.
The Product and Quotient Rules.
The Chain Rule.
Marginal Functions in Economics.
Higher-Order Derivatives.
Implicit Differentiation and Related Rates.
Differentials.
Chapter 3 Summary of Principal Formulas and Terms.
Chapter 3 Review Exercises.
4. APPLICATIONS OF THE DERIVATIVE.
Applications of the First Derivative.
Applications of the Second Derivative.
Curve Sketching.
Optimization I.
Optimization II.
Chapter 4 Summary of Principal Terms.
Chapter 4 Review Exercises.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions.
Logarithmic Functions.
Compound Interest.
Differentiation of Exponential Functions.
Differentiation of Logarithmic Functions.
Exponential Functions as Mathematical Models.
Chapter 5 Summary of Principal Formulas and Terms.
Chapter 5 Review Exercises.
6. INTEGRATION.
Antiderivatives and the Rules of Integration.
Integration by Substitution.
Area and the Definite Integral.
The Fundamental Theorem of Calculus.
Evaluating Definite Integrals.
Area Between Two Curves.
Applications of the Definite Integral to Business and Economics.
Chapter 6 Summary of Principal Formulas and Terms.
Chapter 6 Review Exercises.
7. ADDITIONAL TOPICS IN INTEGRATION.
Integration by Parts.
Integration Using Tables of Integrals.
Numerical Integration.
Improper Integrals.
Applications of Probability to Calculus.
Chapter 7 Summary of Principal Formulas and Terms.
Chapter 7 Review Exercises.
8. CALCULUS OF SEVERAL VARIABLES.
Functions of Several Variables.
Partial Derivatives.
Maxima and Minima of Functions of Several Variables.
The Method of Least Squares.
Constrained Maxima and Minima and the Method of Lagrange Multipliers.
Double Integrals.
Chapter 8 Summary of Principle Terms.
Chapter 8 Review Exercises.
TABLES.
Table I: Exponential Functions.
Table II: Common Logarithms.
Table III: Natural Logarithms.
ANSWERS TO ODD-NUMBERED EXERCISES.
INDEX.
In the Fifth Edition of Applied Calculus for the Managerial, Life, and Social Sciences, author Soo Tan builds on the features that have made his books market leaders-a real-life, problem-solving approach coupled with a concise writing style, a wealth of interesting and illustrative applications to help readers understand the material, and technology coverage that is integrated, but optional, throughout the book. Tan is well known for his ability to present quantitative techniques in an intuitive and accessible yet accurate manner.
Benefits:
Author Bio
Tan, S.T. : Stonehill College
Table of Contents
1. PRELIMINARIES.
Precalculus Review I.
Precalculus Review II.
The Cartesian Coordinate System.
Straight Lines.
Chapter 1 Summary of Principal Formulas and Terms.
Chapter 1 Review Exercises.
2. FUNCTIONS, LIMITS, AND THE DERIVATIVE.
Functions and Their Graphs.
The Algebra of Functions.
Functions and Mathematical Models.
Limits.
One-Sided Limits and Continuity.
The Derivative.
Chapter 2 Summary of Principal Formulas and Terms.
Chapter 2 Review Exercises.
3. DIFFERENTIATION.
Basic Rules of Differentiation.
The Product and Quotient Rules.
The Chain Rule.
Marginal Functions in Economics.
Higher-Order Derivatives.
Implicit Differentiation and Related Rates.
Differentials.
Chapter 3 Summary of Principal Formulas and Terms.
Chapter 3 Review Exercises.
4. APPLICATIONS OF THE DERIVATIVE.
Applications of the First Derivative.
Applications of the Second Derivative.
Curve Sketching.
Optimization I.
Optimization II.
Chapter 4 Summary of Principal Terms.
Chapter 4 Review Exercises.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions.
Logarithmic Functions.
Compound Interest.
Differentiation of Exponential Functions.
Differentiation of Logarithmic Functions.
Exponential Functions as Mathematical Models.
Chapter 5 Summary of Principal Formulas and Terms.
Chapter 5 Review Exercises.
6. INTEGRATION.
Antiderivatives and the Rules of Integration.
Integration by Substitution.
Area and the Definite Integral.
The Fundamental Theorem of Calculus.
Evaluating Definite Integrals.
Area Between Two Curves.
Applications of the Definite Integral to Business and Economics.
Chapter 6 Summary of Principal Formulas and Terms.
Chapter 6 Review Exercises.
7. ADDITIONAL TOPICS IN INTEGRATION.
Integration by Parts.
Integration Using Tables of Integrals.
Numerical Integration.
Improper Integrals.
Applications of Probability to Calculus.
Chapter 7 Summary of Principal Formulas and Terms.
Chapter 7 Review Exercises.
8. CALCULUS OF SEVERAL VARIABLES.
Functions of Several Variables.
Partial Derivatives.
Maxima and Minima of Functions of Several Variables.
The Method of Least Squares.
Constrained Maxima and Minima and the Method of Lagrange Multipliers.
Double Integrals.
Chapter 8 Summary of Principle Terms.
Chapter 8 Review Exercises.
TABLES.
Table I: Exponential Functions.
Table II: Common Logarithms.
Table III: Natural Logarithms.
ANSWERS TO ODD-NUMBERED EXERCISES.
INDEX.