| Chapter 0 Algebra Review |  |
| 0.1 Real Numbers | Online tutorial for Section 0.1 |
| 0.2 Exponents and Radicals | Online tutorial for Section 0.2 |
| 0.iii Multiplying and Factoring Algebraic Equations | Online tutorial for Section 0.3 |
| 0.4 Rational Expressions | Online tutorial for Section 0.4 |
| 0.5 Solving Polynomial Equations | Online tutorial for Department 0.five |
| 0.6 Solving Miscellaneous Equations |
| 0.7 The Coordinate Aeroplane |
Meridian of Page
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| Chapter 1 Functions and Linear Models | |
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| Online: New Functions from Old: Scaled and Shifted Functions |
| Online: Fitting Functions to Data: Linear and Exponential Regression |
Online Resource for Affiliate 1 |
| Chapter Summary | Chapter True/False Quiz | Affiliate Review Exercises | Chapter Excel Tutorials |
Math Tools for Chapter one |
| Part Evaluator & Grapher | Excel Grapher | Simple Regression Utility | Steve Costenoble's Java Graphing Utility |
Tiptop of Folio
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| Affiliate 2 Systems of Linear Equations and Matrices |
| two.1 Systems of Ii Linear Equations in 2 Unknowns | Online tutorial for Department 2.one |
| two.2 Using Matrices to Solve Systems of Equations | Online tutorial for Section two.two
Game version |
| 2.3 Applications of Systems of Linear Equations | Online tutorial for Section 2.3 |
| Case Study: Hybrid Cars—Optimizing the Caste of Hybridization |
Online Resource for Chapter two |
| Chapter Summary | Affiliate True/Faux Quiz | Chapter Review Exercises | Chapter Excel Tutorials |
Math Tools for Chapter 2 |
| Pivot and Gauss-Jordan Tool | Excel Pin and Gauss-Jordan Tool | Graphing Computer Pivot Plan (TI-82/83/84/85/86) | Free Mac Gauss-Jordan Program |
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| Chapter iii Matrix Algebra |
| 3.1 Matrix Improver and Scalar Multiplication | Online tutorial for Section 3.one
Game version |
| 3.2 Matrix Multiplication | Online tutorial for Section 3.2
Game version |
| 3.3 Matrix Inversion | Online tutorial for Section iii.iii |
| 3.4 Game Theory | Online tutorial for Section three.4
Game version |
| 3.5 Input-Output Models | Online tutorial for Section 3.v |
| Case Study: Projecting Market Share |
Online Resource for Chapter 3 |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Chapter Excel Tutorials |
Math Tools for Chapter 3 |
| Matrix Algebra Tool | Online Game Theory Utility | Free Mac Matrix Algebra Programme |
Peak of Folio
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| Chapter 4 Linear Programming |
| iv.one Graphing Linear Inequalities |
| 4.two Solving Linear Programming Issues Graphically | Online tutorial for Section 4.ii
Game version |
| four.3 The Simplex Method: Solving Standard Maximization Problems | Online tutorial for Section 4.3
Game version |
| 4.four The Simplex Method: Solving Full general Linear Programming Problems | Online tutorial for Section four.4
Game version |
| 4.5 The Simplex Method and Duality (Optional) |
| Example Study: The Diet Problem | Diet Problem Solver |
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Online Resource for Affiliate 4 |
| Chapter Summary | Chapter True/Faux 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) | Diet Trouble Solver |
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| Chapter 5 Mathematics of Finance |
| v.1 Unproblematic Interest |
| 5.2 Compound Interest |
| 5.3 Annuities, Loans, and Bonds |
| Example Study: Adjustable Rate and Subprime Mortgages |
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Online Resources for Chapter 5 |
| Affiliate Summary | Chapter True/Simulated Quiz | Affiliate Excel Tutorials |
Math Tools for Chapter 5 |
| Time Value of Money Utility |
Acme of Page
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| Chapter 6 Sets and Counting |
| 6.1 Set Operations |
| half dozen.2 Cardinality |
| six.three The Addition and Multiplication Principles | Online tutorial for Section 6.iii
Game version |
| half dozen.four Permutations and Combinations | Online tutorial for Section 6.4
Game version |
| Example Study: Designing a Puzzle |
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Online Resource for Chapter 6 |
| Chapter Summary | Chapter True/Faux Quiz | Chapter Review Exercises |
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| Affiliate 7 Probability |
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Online Resource for Chapter seven |
| Chapter Summary | Chapter Truthful/Faux Quiz | Chapter Review Exercises |
Math Tools for Chapter 7 |
| Online Markov Organization Simulation (Visual Simulation) | Matrix Algebra Tool | Online Markov Organization Computation Utility (Computes Powers of Transition Matrix) |
Meridian of Page
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| Affiliate 8 Random Variables and Statistics |
| 8.1 Random Variables and Distributions | Online tutorial for Section 8.1 |
| eight.2 Bernoulli Trials and Binomial Random Variables | Online tutorial for Section 8.2 |
| eight.3 Measures of Fundamental Tendency | Online tutorial for Department 8.3 |
| 8.four Measures of Dispersion | Online tutorial for Section 8.4 |
| 8.5 Normal Distributions |
| Online: Sampling Distributions and the Central Limit Theorem |
| Online: Confidence Intervals |
| Online: Calculus & Statistics |
| Online: Fitting Functions to Data: Regression |
| Case Study: Spotting Taxation Fraud with Benford'southward Law |
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Online Resources for Chapter viii |
| Chapter Summary | | Chapter True/Simulated Quiz | Affiliate Review Exercises |
Math Tools for Affiliate viii |
| Histogram and Probability Distribution Generator | Probability Distribution Generator and Grapher for Bernoulli Trials | Normal Distribution Utility | Normal Distribution Table |
Meridian of Page
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| Affiliate 9 Nonlinear Models | |
| 9.ane Quadratic Functions and Models | Online tutorial for Department 9.1 |
| 9.ii Exponential Functions and Models | Online tutorial for Department ix.2 |
| 9.3 Logarithmic Functions and Models | Online tutorial for Department ix.3 |
| ix.4 Logistic Functions and Models |
| Online: Inverse Fuctions |
| Online: Plumbing equipment Functions to Data: Linear and Exponential Regression |
| Online: Using and Deriving Algebraic Properties of Logarithms |
| Case Study: Checking Upward on Malthus | Wheat Production Data (Excel) |
Online Resources for Chapter 9 |
| Affiliate Summary | Chapter True/Faux Quiz | Chapter Review Exercises | Chapter Excel Tutorials |
Math Tools for Chapter nine |
| Role Evaluator & Grapher | Excel Grapher | Regression Utility | Steve Costenoble's Steve Costenoble's Java Graphing Utility |
Tiptop of Folio
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| Chapter 10 Introduction to the Derivative |
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| Online: Sketching the Graph of the Derivative |
| Online: Continuity and Differentiability |
Online Resources for Chapter 10 |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Additional exercises for derivatives of powers, sums, and constant multiples | Chapter Excel Tutorials |
Math Tools for Affiliate 10 |
| Function Evaluator & Grapher | Excel Grapher | Unproblematic Regression Utility | Steve Costenoble's Steve Costenoble'due south Java Graphing Utility | Excel Derivative Grapher |
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| Chapter 11 Techniques of Differentiation |
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| Video for Department 11.3 (Prof Ten-Squared): Production and Quotient Rules |
| Videos for Section 11.4 (Prof X-Squared): Chain Dominion Office 1 Chain Rule Function 2 |
| Online: Linear Approximation and Error Estimation |
| Online: Proof of the Power Rule |
| Online: Proof of the Quotient Rule |
| Online: Proof of the Chain Rule |
Online Resource for Affiliate 11 |
| Chapter Summary | Chapter True/False Quiz | Chapter Review Exercises | Exercises for derivatives of powers, sums, and abiding multiples | Exercises for product and caliber rules | Chapter Review Exercises |
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| Chapter 12 Applications of the Derivative |
| 12.one Maxima and Minima |
| 5.1 Maxima and Minima | Online tutorial for Section 12.1 Game version |
| 12.ii Applications of Maxima and Minima | Online tutorial for Section 12.ii |
| 12.3 The 2d Derivative and Analyzing Graphs | Online tutorial for Section 12.3 |
| 12.4 Related Rates | Online tutorial for Department 12.4 |
| 12.v Elasticity of Demand |
| Instance Study: Product Lot Size Management |
Online Resources for Chapter 12 |
| Affiliate Summary | Affiliate Truthful/False Quiz | Chapter Review Exercises | Affiliate Excel Tutorials |
Math Tools for Affiliate 12 |
| Steve Costenoble's Java Graphing Utility | Function Evaluator & Grapher | Excel First- and Second-Derivative Graphing Utility | Complimentary Mac Grapher |
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| Affiliate xiii The Integral |
| 13.one The Indefinite Integral |
| xiii.ii Substitution | Online tutorial for Department thirteen.2 Game version |
| 13.3 The Definite Integral: Numerical and Graphical Approaches | Online tutorial for Section 13.3 Game version |
| 13.4 The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus | Online tutorial for Section 13.four |
| Online: Numerical Integration |
| Case Study: Spending on Housing Construction |
Online Resources for Affiliate 13 |
| Chapter Summary | Chapter Truthful/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 |
Elevation of Folio
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| Chapter 14 Further Techniques and Applications of the Integral |
| xiv.1 Integration by Parts | Videos for Department 7.1 (Prof X-Squared): Part 1 Part two |
| 14.2 Expanse Between 2 Curves and Applications |
| xiv.3 Averages and Moving Averages |
| xiv.four Applications to Business organisation and Economics: Consumers' and Producers' Surplus and Continuous Income Streams |
| 14.5 Improper Integrals and Applications |
| 14.half dozen Differential Equations and Applications |
| Example Study: Estimating Tax Revenues |
Online Resources for Chapter fourteen |
| Affiliate Summary | Chapter True/False Quiz | Chapter Excel Tutorials |
Pinnacle of Page
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| Chapter 15 Functions of Several Variables |
| 15.1 Functions of Several Variables from the Numerical and Algebraic Viewpoints |
| 15.two Iii Dimensional Space and the Graph of a Office of Ii Variables |
| 15.3 Partial Derivatives |
| 15.4 Maxima and Minima |
| fifteen.5 Constrained Maxima and Minima Applications | Also See Online Cloth on Regression |
| 15.six Double Integrals |
| Case Study: Modeling Higher Population |
Online Resources for Affiliate 15 |
| Chapter Summary | Affiliate True/Imitation Quiz |
Math Tools for Chapter xv |
| Surface Graphing Utility | Excel Surface Graphing Utility | Linear Multiple Regression Utility |
Top of Folio
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| Affiliate sixteen Trigonometric Models |
| 16.i Trigonometric Functions, Models, and Regression |
| sixteen.two Derivatives of Trigonometric Functions and Applications |
| 16.three Integrals of Trigonometric Functions and Applications |
| Online: Proofs of Some Trigonometric Limits |
| Online: New Functions from Old: Scaled and Shifted Functions |
| Case Study: Predicting Airline Empty Seat Volume | Download data |
Online Resources for Chapter 16 |
| Chapter Summary | Online version of this chapter | Chapter Truthful/Imitation Quiz |
Math Tools for Chapter 16 |
| Steve Costenoble's Java Graphing Utility | Office Evaluator & Grapher | Excel Grapher | Excel Derivative Grapher |
Elevation of Folio
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Online Affiliate: Trigonometric Functions and Calculus
(Text and Complete Practice Sets Online; brings together material in Capacity 10, 12, and 14) |
| Introduction |
| Modeling with the Sine Function |
| The Six Trigonometric Functions |
| Derivatives of Trigonometric Functions |
| Integrals of Trigonometric Functions |
Peak of Page
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Chapter P: Calculus Practical to Probability and Statistics
(Text and Complete Exercise Sets Online; a consummate text version of this chapter can be downloaded hither in pdf format) |
| Introduction |
| CP.one Continuous Random Variables and Histograms |
| CP.2 Probability Density Functions: Uniform, Exponential, Normal, and Beta |
| CP.3 Mean, Median, Variance and Standard Divergence |
| Example Study: Creating a Family Trust |
Peak of Folio
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| Appendix A: Logic (Besides come across on-line total affiliate version below.) | Answers to Odd-numbered Exercises in Textbook |
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| Appendix B: Table: Surface area Under a Normal Curve |
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Chapter L: Introduction to Logic
(Text and Complete Exercise Sets Online; a complete text version of this chapter tin 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.four Tautological Implications and Tautological Equivalences |
| L.5 Rules of Inference |
| L.6 Arguments and Proofs |
| L.7 Predicate Calculus |
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