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Finite Mathematics 4e
|
| Chapter 0 Algebra Review |  |
||
| 0.1 Real Numbers | |||
| 0.2 Exponents and Radicals | |||
| 0.3 Multiplying and Factoring Algebraic Equations | |||
| 0.4 Rational Expressions | |||
| 0.5 Solving Polynomial Equations | |||
| 0.6 Solving Miscellaneous Equations | |||
| Chapter 1 Functions and Linear Models | |
||
| 1.1 Functions from the Numerical and Algebraic Viewpoints | |||
| 1.2 Functions from the Graphical Viewpoint | |||
| 1.3 Linear Functions | |||
| 1.4 Linear Models | |||
| 1.5 Linear Regression | |||
| On-Line Section: New Functions from Old: Scaled and Shifted Functions | |||
| On-Line Section: Fitting Functions to Data: Linear and Exponential Regression | |||
| Case Study: Modeling Spending on Internet Advertising | |||
On-Line Resources for Chapter 1 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 1 | |||
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher | |||
| Chapter 2 Systems of Linear Equations and Matrices | |||
| 2.1 Systems of Two Linear Equations in Two Unknowns | |||
| 2.2 Using Matrices to Solve Systems of Equations | |||
| 2.3 Applications of Systems of Linear Equations | |||
| Case Study: The Impact of Regulating Sulfur Emissions | |||
On-Line Resources for Chapter 2 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 2 | |||
| Row Operation and Pivoting Utility | Excel Row Operation and Pivoting Utility | Graphing Calculator Pivot Program (TI-82/83/84/85/86) | Free Mac Gauss-Jordan Program | |||
| Chapter 3 Matrix Algebra | |||
| 3.1 Matrix Addition and Scalar Multiplication | |||
| 3.2 Matrix Multiplication | |||
| 3.3 Matrix Inversion | |||
| 3.4 Matrices in Practice: Game Theory | |||
| 3.5 Matrices in Practice: Input-Output Models | |||
| Case Study: The Japanese Economy | |||
On-Line Resources for Chapter 3 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 3 | |||
| Matrix Algebra Tool | On-Line Game Theory Utility | Free Mac Matrix Algebra Program | |||
| Chapter 4 Linear Programming | |||
| 4.1 Graphing Linear Inequalities | |||
| 4.2 Solving Linear Programming Problems Graphically | |||
| 4.3 The Simplex Method: Solving Standard Maximization Problems | |||
| 4.4 The Simplex Method: Solving General Linear Programming Problems | |||
| 4.5 The Simplex Method and Duality (Optional) | |||
| Case Study: Airline Scheduling | |||
On-Line Resources for Chapter 4 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 4 | |||
| Linear Programming Grapher | Excel Row Operation and Pivoting Utility | Simplex Method Tool | Row Operation and Pivoting Utility | Graphing Calculator Pivot Program (TI-82/83/84/85/86) | Free Mac Pivot Program | |||
| Chapter 5 Mathematics of Finance | |||
| 5.1 Simple Interest | |||
| 5.2 Compound Interest | |||
| 5.3 Annuities, Loans, and Bonds | |||
| Case Study: Saving for College | |||
On-Line Resources for Chapter 5 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials | |||
Math Tools for Chapter 5 | |||
| Time Value of Money Utility | |||
| Chapter 6 Sets and Counting | |||
| 6.1 Set Operations | |||
| 6.2 Cardinality | |||
| 6.3 The Addition and Multiplication Principles | |||
| 6.4 Permutations and Combinations | |||
| Case Study: Designing a Puzzle | |||
On-Line Resources for Chapter 6 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |||
| Chapter 7 Probability | |||
| 7.1 Sample Spaces and Events | |||
| 7.2 Estimated and Theoretical Probability | |||
| 7.3 Properties of Probability Distributions | |||
| 7.4* Probability and Counting Techniques | |||
| 7.5 Conditional Probability and Independence | |||
| 7.6 Bayes' Theorem and Applications | |||
| 7.7 Probability in Practice: Markov Systems | |||
| Case Study: The Monty Hall Problem | |||
On-Line Resources for Chapter 7 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |||
Math Tools for Chapter 7 | |||
| On-Line Markov System Simulation (Visual Simulation) | Matrix Algebra Tool | On-Line Markov System Computation Utility (Computes Powers of Transition Matrix) | |||
| Chapter 8 Random Variables and Statistics | |||
| 8.1 Random Variables and Distributions | |||
| 8.2 Bernoulli Trials and Binomial Random Variables | |||
| 8.3 Measures of Central Tendency | |||
| 8.4 Measures of Dispersion | |||
| 8.5 Normal Distributions | |||
| On-Line Section: Sampling Distributions and the Central Limit Theorem | |||
| On-Line Section: Confidence Intervals | |||
| On-Line Section: Calculus & Statistics | |||
| On-Line Section: Fitting Functions to Data: Regression | |||
| Case Study: Spotting Tax Fraud with Benford's Law | |||
On-Line Resources for Chapter 8 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |||
Math Tools for Chapter 8 | |||
| Histogram and Probability Distribution Generator | Probability Distribution Generator and Grapher for Bernoulli Trials | Normal Distribution Utility | Normal Distribution Table | |||
| Appendix A: Logic (Also see on-line full chapter version below.) | |||
| Appendix B: Table: Area Under a Normal Curve | |||
| Chapter L: Introduction to Logic (Text and Complete Exercise Sets On-Line; a complete text version of this chapter can be downloaded here in pdf format) |
|||
| Introduction | |||
| L.1 Statements and Logical Operators | |||
| L.2 Logical Equivalence, Tautologies and Contradictions | |||
| L.3 The Conditional and the Biconditional | |||
| L.4 Tautological Implications and Tautological Equivalences | |||
| L.5 Rules of Inference | |||
| L.6 Arguments and Proofs | |||
| L.7 Predicate Calculus | |||
Applied Calculus 4e
|
| Chapter 0 Algebra Review | |
| 0.1 Real Numbers | |
| 0.2 Exponents and Radicals | |
| 0.3 Multiplying and Factoring Algebraic Equations | |
| 0.4 Rational Expressions | |
| 0.5 Solving Polynomial Equations | |
| 0.6 Solving Miscellaneous Equations | |
| Chapter 1 Functions and Linear Models | |
| 1.1 Functions from the Numerical and Algebraic Viewpoints | |
| 1.2 Functions from the Graphical Viewpoint | |
| 1.3 Linear Functions | |
| 1.4 Linear Models | |
| 1.5 Linear Regression | |
| On-Line Section: New Functions from Old: Scaled and Shifted Functions | |
| On-Line Section: Fitting Functions to Data: Linear and Exponential Regression | |
| Case Study: Modeling Spending on Internet Advertising | |
On-Line Resources for Chapter 1 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |
Math Tools for Chapter 1 | |
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher | |
| Chapter 2 Nonlinear Models | |
| 2.1 Quadratic Functions and Models | |
| 2.2 Exponential Functions and Models | |
| 2.3 Logarithmic Functions and Models | |
| 2.4 Logistic Functions and Models | |
| On-Line Section: Inverse Fuctions | |
| On-Line Section: Fitting Functions to Data: Linear and Exponential Regression | |
| On-Line Section: Using and Deriving Algebraic Properties of Logarithms | |
| Case Study: Checking Up on Malthus | |
On-Line Resources for Chapter 2 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |
Math Tools for Chapter 2 | |
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher | |
| Chapter 3 Introduction to the Derivative | |
| 3.1 Limits: Numerical and Graphical Approaches | |
| 3.2 Limits and Continuity | |
| 3.3 Limits: Algebraic Approach | |
| 3.4 Average Rate of Change | |
| 3.5 The Derivative: Numerical and Graphical Viewpoints | |
| 3.6 The Derivative: Algebraic Viewpoint | |
| 3.7 Derivatives of Powers, Sums, and Constant Multiples | |
| 3.8 A First Application: Marginal Analysis | |
| On-Line Section: Sketching the Graph of the Derivative | |
| On-Line Section: Proof of the Power Rule | |
| On-Line Section: Continuity and Differentiability | |
| Case Study: Reducing Sulfur Emissions | |
On-Line Resources for Chapter 3 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |
Math Tools for Chapter 3 | |
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher | Simple Regression Utility | Download Free Mac Grapher | |
| Chapter 4 Techniques of Differentiation | |
| 4.1 The Product and Quotient Rules | |
| 4.2 The Chain Rule | |
| 4.3 Derivatives of Logarithmic and Exponential Functions | |
| 4.4 Implicit Differentiation | |
| On-Line Section:Linear Approximation and Error Estimation | |
| On-Line Section:Proof of the Quotient Rule | |
| On-Line Section:Proof of the Chain Rule | |
| Case Study: Projecting Market Growth | |
On-Line Resources for Chapter 4 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |
| Chapter 5 Applications of the Derivative | |
| 5.1 Maxima and Minima | |
| 5.2 Applications of Maxima and Minima | |
| 5.3 The Second Derivative and Analyzing Graphs | |
| 5.4 Related Rates | |
| 5.5 Elasticity of Demand | |
| Case Study: Production Lot Size Management | |
On-Line Resources for Chapter 5 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |
Math Tools for Chapter 5 | |
| Java Graphing Utility | Function Evaluator & Grapher | Excel First- and Second-Derivative Graphing Utility | Free Mac Grapher | |
| Chapter 6 The Integral | |
| 6.1 The Indefinite Integral | |
| 6.2 Substitution | |
| 6.3 The Definite Integral: Numerical and Graphical Approaches | |
| 6.4 The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus | |
| On-Line Section: Numerical Integration | |
| Case Study: Wage Inflation | |
On-Line Resources for Chapter 6 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |
Math Tools for Chapter 6 | |
| Numerical Integration Utility | Graphing Calculator Programs for Numerical Integration | Excel Riemann Sum Grapher | |
| Chapter 7 Further Techniques and Applications of the Integral | |
| 7.1 Integration by Parts | |
| 7.2 Area Between Two Curves and Applications | |
| 7.3 Averages and Moving Averages | |
| 7.4 Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams | |
| 7.5 Improper Integrals and Applications | |
| 7.6 Differential Equations and Applications | |
| Case Study: Estimating Tax Revenues | |
On-Line Resources for Chapter 7 | |
| Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials | |
| Chapter 8 Functions of Several Variables | |
| 8.1 Functions of Several Variables from the Numerical and Algebraic Viewpoints | |
| 8.2 Three Dimensional Space and the Graph of a Function of Two Variables | |
| 8.3 Partial Derivatives | |
| 8.4 Maxima and Minima | |
| 8.5 Constrained Maxima and Minima Applications | |
| 8.6 Double Integrals | |
| Case Study: Constructing a Best Fit Demand Curve | |
On-Line Resources for Chapter 8 | |
| Chapter Summary | Chapter True/False Quiz | |
Math Tools for Chapter 8 | |
| Surface Graphing Utility | Excel Surface Graphing Utility | Linear Multiple Regression Utility | |
| Chapter 9 Trigonometric Models | |
| 9.1 Trigonometric Functions, Models, and Regression | |
| 9.2 Derivatives of Trigonometric Functions and Applications | |
| 9.3 Integrals of Trigonometric Functions and Applications | |
| On-Line Section: Proofs of Some Trigonometric Limits | |
| On-Line Section: New Functions from Old: Scaled and Shifted Functions | |
| Case Study: Predicting Cocoa Inventories | |
On-Line Resources for Chapter 9 | |
| Chapter Summary | On-line version of this chapter | |
Math Tools for Chapter 9 | |
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher | |
| Chapter P: Calculus Applied to Probability and Statistics (Text and Complete Exercise Sets On-Line; a complete text version of this chapter can be downloaded here in pdf format) |
|
| Introduction | |
| CP.1 Continuous Random Variables and Histograms | |
| CP.2 Probability Density Functions: Uniform, Exponential, Normal, and Beta | |
| CP.3 Mean, Median, Variance and Standard Deviation | |
| Case Study: Creating a Family Trust | |
Finite Mathematics and Applied Calculus 4e
|
| Chapter 0 Algebra Review | |
||
| 0.1 Real Numbers | |||
| 0.2 Exponents and Radicals | |||
| 0.3 Multiplying and Factoring Algebraic Equations | |||
| 0.4 Rational Expressions | |||
| 0.5 Solving Polynomial Equations | |||
| 0.6 Solving Miscellaneous Equations | |||
| Chapter 1 Functions and Linear Models | |
||
| 1.1 Functions from the Numerical and Algebraic Viewpoints | |||
| 1.2 Functions from the Graphical Viewpoint | |||
| 1.3 Linear Functions | |||
| 1.4 Linear Models | |||
| 1.5 Linear Regression | |||
| On-Line Section: New Functions from Old: Scaled and Shifted Functions | |||
| On-Line Section: Fitting Functions to Data: Linear and Exponential Regression | |||
| Case Study: Modeling Spending on Internet Advertising | |||
On-Line Resources for Chapter 1 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 1 | |||
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher | |||
| Chapter 2 Systems of Linear Equations and Matrices | |||
| 2.1 Systems of Two Linear Equations in Two Unknowns | |||
| 2.2 Using Matrices to Solve Systems of Equations | |||
| 2.3 Applications of Systems of Linear Equations | |||
| Case Study: The Impact of Regulating Sulfur Emissions | |||
On-Line Resources for Chapter 2 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 2 | |||
| Row Operation and Pivoting Utility | Excel Row Operation and Pivoting Utility | Graphing Calculator Pivot Program (TI-82/83/84/85/86) | Free Mac Gauss-Jordan Program | |||
| Chapter 3 Matrix Algebra | |||
| 3.1 Matrix Addition and Scalar Multiplication | |||
| 3.2 Matrix Multiplication | |||
| 3.3 Matrix Inversion | |||
| 3.4 Matrices in Practice: Game Theory | |||
| 3.5 Matrices in Practice: Input-Output Models | |||
| Case Study: The Japanese Economy | |||
On-Line Resources for Chapter 3 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 3 | |||
| Matrix Algebra Tool | On-Line Game Theory Utility | Free Mac Matrix Algebra Program | |||
| Chapter 4 Linear Programming | |||
| 4.1 Graphing Linear Inequalities | |||
| 4.2 Solving Linear Programming Problems Graphically | |||
| 4.3 The Simplex Method: Solving Standard Maximization Problems | |||
| 4.4 The Simplex Method: Solving General Linear Programming Problems | |||
| 4.5 The Simplex Method and Duality (Optional) | |||
| Case Study: Airline Scheduling | |||
On-Line Resources for Chapter 4 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 4 | |||
| Linear Programming Grapher | Excel Row Operation and Pivoting Utility | Simplex Method Tool | Row Operation and Pivoting Utility | Graphing Calculator Pivot Program (TI-82/83/84/85/86) | Free Mac Pivot Program | |||
| Chapter 5 Mathematics of Finance | |||
| 5.1 Simple Interest | |||
| 5.2 Compound Interest | |||
| 5.3 Annuities, Loans, and Bonds | |||
| Case Study: Saving for College | |||
On-Line Resources for Chapter 5 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials | |||
Math Tools for Chapter 5 | |||
| Time Value of Money Utility | |||
| Chapter 6 Sets and Counting | |||
| 6.1 Set Operations | |||
| 6.2 Cardinality | |||
| 6.3 The Addition and Multiplication Principles | |||
| 6.4 Permutations and Combinations | |||
| Case Study: Designing a Puzzle | |||
On-Line Resources for Chapter 6 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |||
| Chapter 7 Probability | |||
| 7.1 Sample Spaces and Events | |||
| 7.2 Estimated and Theoretical Probability | |||
| 7.3 Properties of Probability Distributions | |||
| 7.4* Probability and Counting Techniques | |||
| 7.5 Conditional Probability and Independence | |||
| 7.6 Bayes' Theorem and Applications | |||
| 7.7 Probability in Practice: Markov Systems | |||
| Case Study: The Monty Hall Problem | |||
On-Line Resources for Chapter 7 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |||
Math Tools for Chapter 7 | |||
| On-Line Markov System Simulation (Visual Simulation) | Matrix Algebra Tool | On-Line Markov System Computation Utility (Computes Powers of Transition Matrix) | |||
| Chapter 8 Random Variables and Statistics | |||
| 8.1 Random Variables and Distributions | |||
| 8.2 Bernoulli Trials and Binomial Random Variables | |||
| 8.3 Measures of Central Tendency | |||
| 8.4 Measures of Dispersion | |||
| 8.5 Normal Distributions | |||
| On-Line Section: Sampling Distributions and the Central Limit Theorem | |||
| On-Line Section: Confidence Intervals | |||
| On-Line Section: Calculus & Statistics | |||
| On-Line Section: Fitting Functions to Data: Regression | |||
| Case Study: Spotting Tax Fraud with Benford's Law | |||
On-Line Resources for Chapter 8 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |||
Math Tools for Chapter 8 | |||
| Histogram and Probability Distribution Generator | Probability Distribution Generator and Grapher for Bernoulli Trials | Normal Distribution Utility | Normal Distribution Table | |||
| Chapter 9 Nonlinear Models | |
||
| 9.1 Quadratic Functions and Models | |||
| 9.2 Exponential Functions and Models | |||
| 9.3 Logarithmic Functions and Models | |||
| 9.4 Logistic Functions and Models | |||
| On-Line Section: Inverse Fuctions | |||
| On-Line Section: Fitting Functions to Data: Linear and Exponential Regression | |||
| On-Line Section: Using and Deriving Algebraic Properties of Logarithms | |||
| Case Study: Checking Up on Malthus | |||
On-Line Resources for Chapter 9 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 9 | |||
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Free Mac Grapher | |||
| Chapter 10 Introduction to the Derivative | |||
| 10.1 Limits: Numerical and Graphical Approaches | |||
| 10.2 Limits and Continuity | |||
| 10.3 Limits: Algebraic Approach | |||
| 10.4 Average Rate of Change | |||
| 10.5 The Derivative: Numerical and Graphical Viewpoints | |||
| 10.6 The Derivative: Algebraic Viewpoint | |||
| 10.7 Derivatives of Powers, Sums, and Constant Multiples | |||
| 10.8 A First Application: Marginal Analysis | |||
| On-Line Section: Sketching the Graph of the Derivative | |||
| On-Line Section: Proof of the Power Rule | |||
| On-Line Section: Continuity and Differentiability | |||
| Case Study: Reducing Sulfur Emissions | |||
On-Line Resources for Chapter 10 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 10 | |||
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher | Simple Regression Utility | Download Free Mac Grapher | |||
| Chapter 11 Techniques of Differentiation | |||
| 11.1 The Product and Quotient Rules | |||
| 11.2 The Chain Rule | |||
| 11.3 Derivatives of Logarithmic and Exponential Functions | |||
| 11.4 Implicit Differentiation | |||
| On-Line Section:Linear Approximation and Error Estimation | |||
| On-Line Section:Proof of the Quotient Rule | |||
| On-Line Section:Proof of the Chain Rule | |||
| Case Study: Projecting Market Growth | |||
On-Line Resources for Chapter 11 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | |||
| Chapter 12 Applications of the Derivative | |||
| 12.1 Maxima and Minima | |||
| 12.2 Applications of Maxima and Minima | |||
| 12.3 The Second Derivative and Analyzing Graphs | |||
| 12.4 Related Rates | |||
| 12.5 Elasticity of Demand | |||
| Case Study: Production Lot Size Management | |||
On-Line Resources for Chapter 12 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 12 | |||
| Java Graphing Utility | Function Evaluator & Grapher | Excel First- and Second-Derivative Graphing Utility | Free Mac Grapher | |||
| Chapter 13 The Integral | |||
| 13.1 The Indefinite Integral | |||
| 13.2 Substitution | |||
| 13.3 The Definite Integral: Numerical and Graphical Approaches | |||
| 13.4 The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus | |||
| On-Line Section: Numerical Integration | |||
| Case Study: Wage Inflation | |||
On-Line Resources for Chapter 13 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials | |||
Math Tools for Chapter 13 | |||
| Numerical Integration Utility | Graphing Calculator Programs for Numerical Integration | Excel Riemann Sum Grapher | |||
| Chapter 14 Further Techniques and Applications of the Integral | |||
| 14.1 Integration by Parts | |||
| 14.2 Area Between Two Curves and Applications | |||
| 14.3 Averages and Moving Averages | |||
| 14.4 Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams | |||
| 14.5 Improper Integrals and Applications | |||
| 14.6 Differential Equations and Applications | |||
| Case Study: Estimating Tax Revenues | |||
On-Line Resources for Chapter 14 | |||
| Chapter Summary | Chapter True/False Quiz | Chapter Excel Tutorials | |||
| Chapter 15 Functions of Several Variables | |||
| 15.1 Functions of Several Variables from the Numerical and Algebraic Viewpoints | |||
| 15.2 Three Dimensional Space and the Graph of a Function of Two Variables | |||
| 15.3 Partial Derivatives | |||
| 15.4 Maxima and Minima | |||
| 15.5 Constrained Maxima and Minima Applications | |||
| 15.6 Double Integrals | |||
| Case Study: Constructing a Best Fit Demand Curve | |||
On-Line Resources for Chapter 15 | |||
| Chapter Summary | Chapter True/False Quiz | |||
Math Tools for Chapter 15 | |||
| Surface Graphing Utility | Excel Surface Graphing Utility | Linear Multiple Regression Utility | |||
| Chapter 16 Trigonometric Models | |||
| 16.1 Trigonometric Functions, Models, and Regression | |||
| 16.2 Derivatives of Trigonometric Functions and Applications | |||
| 16.3 Integrals of Trigonometric Functions and Applications | |||
| On-Line Section: Proofs of Some Trigonometric Limits | |||
| On-Line Section: New Functions from Old: Scaled and Shifted Functions | |||
| Case Study: Predicting Cocoa Inventories | |||
On-Line Resources for Chapter 16 | |||
| Chapter Summary | On-line version of this chapter | |||
Math Tools for Chapter 16 | |||
| Java Graphing Utility | Function Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher | |||
| Chapter P: Calculus Applied to Probability and Statistics (Optional chapter available from the publisher) |
|||
| Introduction | |||
| CP.1 Continuous Random Variables and Histograms | |||
| CP.2 Probability Density Functions: Uniform, Exponential, Normal, and Beta | |||
| CP.3 Mean, Median, Variance and Standard Deviation | |||
| Case Study: Creating a Family Trust | |||
| Appendix A: Logic (Also see on-line full chapter version below.) | |||
| Appendix B: Table: Area Under a Normal Curve | |||
| Chapter L: Introduction to Logic (Text and Complete Exercise Sets On-Line; a complete text version of this chapter can be downloaded here in pdf format) |
|||
| Introduction | |||
| L.1 Statements and Logical Operators | |||
| L.2 Logical Equivalence, Tautologies and Contradictions | |||
| L.3 The Conditional and the Biconditional | |||
| L.4 Tautological Implications and Tautological Equivalences | |||
| L.5 Rules of Inference | |||
| L.6 Arguments and Proofs | |||
| L.7 Predicate Calculus | |||