Calculus For Business, Economics, Life Science, And Social Science - 10th edition

PART ONE. A LIBRARY OF ELEMENTARY FUNCTIONS.
CHAPTER 1. A Beginning Library of Elementary Functions.

1-1 Functions.
1-2 Elementary Functions: Graphs and Transformations.
1-3 Linear Functions and Straight Lines.
1-4 Quadratic Functions.
Group Activity 1: Introduction to Regression Analysis.
Group Activity 2: Mathematical Modeling in Business.

CHAPTER 2. Additional Elementary Functions.

2-1 Polynomial and Rational Functions.
2-2 Exponential Functions.
2-3 Logarithmic Functions.
Group Activity 1: Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions.
Group Activity 2: Comparing Regression Models.

PART TWO. CALCULUS.
CHAPTER 3. The Derivative.

3-1 Introduction to Limits.
3-2 Limits and Continuity.
3-3 The Derivative.
3-4 Derivative of Constants, Power Forms, and Sums.
3-5 Derivatives of Products and Quotients.
3-6 Chain Rule: Power Form.
3-7 Marginal Analysis in Business and Economics.
Group Activity 1: Minimal Average Cost.
Group Activity 2: Numerical Differentiation on a Graphing Utility.

CHAPTER 4. Graphing and Optimization.

4-1 First Derivative and Graphs.
4-2 Second Derivative and Graphs.
4-3 Curve Sketching Techniques; Unified and Extended.
4-4 Optimization; Absolute Maxima and Minima.
Group Activity 1: Maximizing Profit.
Group Activity 2: Minimizing Construction Costs.

CHAPTER 5. Additional Derivative Topics

5-1 The Constant e and Continuous Compound Interest.
5-2 Derivatives of Logarithmic and Exponential Functions.
5-3 Chain Rule: General Form.
5-4 Implicit Differentiation.
5-5 Related Rates.
Group Activity 1: Elasticity of Demand.
Group Activity 2: Point of Diminishing Returns.

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.
Group Activity 1: Simpson's Rule.
Group Activity 2: Bell-Shaped Curves.

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.
Group Activity 1: Analysis of Income Concentration from Raw Data.
Group Activity 2: Grain Exchange.

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.
Group Activity 1: City Planning.
Group Activity 2: Numerical Integration of Multivariable Functions.

CHAPTER 9. Trigonometric Functions.

9-1 Trigonometric Functions Review.
9-2 Derivatives of Trigonometric Functions.
9-3 Integrations of Trigonometric Functions.
Group Activity 1: Seasonal Business Cycles.
Group Activity 2: Heating Degree Days.