Calculus for Business, Economics, Life Sciences and Social Sciences (12th Edition) by Raymond A. Barnett & Others.pdf

Calculus for Business, Economics, Life Sciences and Social Sciences by Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen PDF e-book.

Table of Contents
Part One: A Library of Elementary Functions
Chapter 1: Linear Equations and Graphs
1-1 Linear Equations and Inequalities
1-2 Graphs and Lines
1-3 Linear Regression
Chapter 1 Review
Review Exercise
Chapter 2: Functions and Graphs
2-1 Functions
2-2 Elementary Functions: Graphs and Transformations
2-3 Quadratic Functions
2-4 Polynomial and Rational Functions
2-5 Exponential Functions
2-6 Logarithmic Functions
Chapter 2 Review
Review Exercise
Part Two: Calculus
Chapter 3: Limits and the Derivative
3-1 Introduction to Limits
3-2 Infinite Limits and Limits at Infinity
3-3 Continuity
3-4 The Derivative
3-5 Basic Differentiation Properties
3-6 Differentials
3-7 Marginal Analysis in Business and Economics
Chapter 3 Review
Review Exercise
Chapter 4: Additional Derivative Topics
4-1 The Constant e and Continuous Compound Interest
4-2 Derivatives of Exponential and Logarithmic Functions
4-3 Derivatives of Products and Quotients
4-4 The Chain Rule
4-5 Implicit Differentiation
4-6 Related Rates
4-7 Elasticity of Demand
Chapter 4 Review
Review Exercise
Chapter 5: Graphing and Optimization
5-1 First Derivative and Graphs
5-2 Second Derivative and Graphs
5-3 L'Hopital's Rule
5-4 Curve Sketching Techniques
5-5 Absolute Maxima and Minima
5-6 Optimization
Chapter 5 Review
Review Exercise
Chapter 6: Integration
6-1 Antiderivatives and Indefinite Integrals
6-2 Integration by Substitution
6-3 Differential Equations; Growth and Decay
6-4 The Definite Integral
6-5 The Fundamental Theorem of Calculus
Chapter 6 Review
Review Exercise
Chapter 7: Additional Integration Topics
7-1 Area Between Curves
7-2 Applications in Business and Economics
7-3 Integration by Parts
7-4 Integration Using Tables
Chapter 7 Review
Review Exercise
Chapter 8: Multivariable Calculus
8-1 Functions of Several Variables
8-2 Partial Derivatives
8-3 Maxima and Minima
8-4 Maxima and Minima Using Lagrange Multipliers
8-5 Method of Least Squares
8-6 Double Integrals Over Rectangular Regions
8-7 Double Integrals Over More General Regions
Chapter 8 Review
Review Exercise
Chapter 9: Trigonometric Functions
9-1 Trigonometric Functions Review
9-2 Derivatives of Trigonometric Functions
9-3 Integration of Trigonometric Functions
Chapter 9 Review
Review Exercise
Appendixes
Appendix A: Basic Algebra Review
Self-Test on Basic Algebra
A-1 Algebra and Real Numbers
A-2 Operations on Polynomials
A-3 Factoring Polynomials
A-4 Operations on Rational Expressions
A-5 Integer Exponents and Scientific Notation
A-6 Rational Exponents and Radicals
A-7 Quadratic Equations
Appendix B: Special Topics
B-1 Sequences, Series, and Summation Notation
B-2 Arithmetic and Geometric Sequences
B-3 Binomial Theorem
Appendix C: Tables
Table I Basic Geometric Formulas
Table II Integration Formulas

Answers
Index
Applications Index
A Library of Elementary Functions