| Subject |
Calculus.
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| Descript |
1 online resource (xxiv, 307 pages) : illustrations. |
| Content |
text txt |
| Media |
computer c |
| Carrier |
online resource cr |
| Descript |
data file rda |
| Contents |
1. Activities. Graphical Calculus ; Functions, Limits, and Continuity ; Derivatives ; Integration ; Transcendental Functions ; Differential Equations ; Series -- 2. Projects -- 3. Instructor Notes for Activities. Graphical Calculus ; Functions, Limits, and Continuity ; Derivatives ; Integration ; Transcendental Functions ; Differential Equations ; Series -- 4. Instructor Notes for Projects -- 5. Appendices. Sample curriculum ; "Sample Guidelines for Projects" ; Guide to the Threads. |
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Preface; Introduction; Activities; Projects; A Modern Calculus Course; Course Logistics; About Using Projects; Questions About Using Student Groups; Questions About Using Activities; Questions About Course Organization and Content; Unifying Threads; To the Student; Acknowledgments; Contents; Part I Activities; 1 Graphical Calculus; Introduction; 1.1 Chalk Toss; 1.2 Classroom Walk; 1.3 Biking to School; 1.4 Raising a Flag; 1.5 Library Trip; Airplane Flight with Constant Velocity |
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1.7 Projected Image 1.8 A Formula for a Piecewise-Linear Graph; 1.9 Water Balloon; 1.10 Graphical Estimation of Slope; 1.11 Linear Approximation; 1.12 Slope with Rulers; 1.13 Examining Linear Velocity; 1.14 More Airplane Travel; 1.15 Dallas to Houston; 1.16 Given Velocity Graph, Sketch Distance Graph; 1.17 Function- Derivative Pairs; 1.18 Water Tank Problem; 1.19 Tax Rates and Concavity; 1.20 Water Container; 1.21 Testing Braking Performance; 1.22 The Start-up Firm; 1.23 Graphical Composition; 1.24 The Leaky Balloon |
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Inverse Function from Graphs; 2 Functions, Limits, and Continuity; Introduction; 2.1 Introduction to Functions; 2.2 Postage; 2.3 What is Continuity?; 2.4 Limits and Continuity from a Graph; 2.5 Slopes and Difference Quotients; 2.6 Sequences; 2.7 Can We Fool Newton?; 3 Derivatives; Introduction; 3.1 Estimating Cost; 3.2 Finite Differences; 3.3 Using the Derivative; 3.4 Gotcha; 3.5 Animal Growth Rates; 3.6 The Product Fund; 3.7 Exchange Rates and the Quotient Rule; 3.8 Using the Product Rule to Get the Chain Rule |
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3.9 Magnification 4 Integration; Introduction; 4.1 Time and Speed; 4.2 Oil Flow; 4.3 Can the Car Stop in Time?; 4.4 Fundamental Theorem of Calculus; 4.5 Comparing Integrals and Series; 4.6 Graphical Integration; 4.7 How Big Can an Integral Be?; 4.8 Numerical Integration; 4.9 Verifying the Parabolic Rule; 4.10 Finding the Average Rate of Inflation; 4.11 Cellular Phones; 4.12 The Shorter Path; 4.13 The River Sine; 4.14 Improper Integrals; 5 Transcendental Functions; Introduction; 5.1 Ferris Wheel |
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5.2 Sunrise-Sunset; 5.3 Why Mathematicians Use ex; 5.4 Exponential Differences; 5.5 Inverse Functions; 5.6 Fitting Exponential Curves; 5.7 Log-Log Plots; 5.8 Using Scales; 6 Differential Equations; Introduction; 6.1 Direction Fields; 6.2 Using Direction Fields; 6.3 Drawing Solution Curves; 6.4 Cooling and Heating Models; 6.5 The Hot Potato; 6.6 Spread of a Rumor: Discrete Logistic Growth; 6.7 Population; 6.8 Save the Perch; 6.9 Systems of Differential Equations |
| Note |
Unlimited number of concurrent users. UkHlHU |
| Alt author |
Hilbert, Stephen.
|
| ISBN |
9780883859728 (electronic bk.) |
|
0883859726 (electronic bk.) |
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