Calculus for Business, Economics, Life Sciences and Social Sciences, Global Edition

Diagnostic Prerequisite Test

 

1. Functions and Graphs

1.1 Functions

1.2 Elementary Functions: Graphs and Transformations

1.3 Linear and Quadratic Functions

1.4 Polynomial and Rational Functions

1.5 Exponential Functions

1.6 Logarithmic Functions

   Chapter 1 Review

   Review Exercises

 

2. Limits and the Derivative

2.1 Introduction to Limits

2.2 Infinite Limits and Limits at Infinity

2.3 Continuity

2.4 The Derivative

2.5 Basic Differentiation Properties

2.6 Differentials

2.7 Marginal Analysis in Business and Economics

   Chapter 2 Review

   Review Exercises

 

3. Additional Derivative Topics

3.1 The Constant e and Continuous Compound Interest

3.2 Derivatives of Exponential and Logarithmic Functions

3.3 Derivatives of Products and Quotients

3.4 The Chain Rule

3.5 Implicit Differentiation

3.6 Related Rates

3.7 Elasticity of Demand

   Chapter 3 Review

   Review Exercises

 

4. Graphing and Optimization

4.1 First Derivative and Graphs

4.2 Second Derivative and Graphs

4.3 L'Hôpital's Rule

4.4 Curve Sketching Techniques

4.5 Absolute Maxima and Minima

4.6 Optimization

   Chapter 4 Review

   Review Exercises

 

5. Integration

5.1 Antiderivatives and Indefinite Integrals

5.2 Integration by Substitution

5.3 Differential Equations; Growth and Decay

5.4 The Definite Integral

5.5 The Fundamental Theorem of Calculus

   Chapter 5 Review

   Review Exercises

 

6. Additional Integration Topics

6.1 Area Between Curves

6.2 Applications in Business and Economics

6.3 Integration by Parts

6.4 Other Integration Methods

   Chapter 6 Review

   Review Exercises

 

7. Multivariable Calculus

7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Maxima and Minima

7.4 Maxima and Minima Using Lagrange Multipliers

7.5 Method of Least Squares

7.6 Double Integrals Over Rectangular Regions

7.7 Double Integrals Over More General Regions

   Chapter 7 Review

   Review Exercises

 

8. Trigonometric Functions

8.1 Trigonometric Functions Review

8.2 Derivatives of Trigonometric Functions

8.3 Integration of Trigonometric Functions

   Chapter 8 Review

   Review Exercises

 

APPENDICES

A. Basic Algebra Review

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

 

B. Special Topics

B.1 Sequences, Series, and Summation Notation

B.2 Arithmetic and Geometric Sequences

B.3 Binomial Theorem

 

C. Tables

Table I. Basic Geometric Formulas

Table II Integration Formulas

 

Answers

Index

Applications Index