Calculus an active approach with projects /
| Автор-организации: | Ithaca College. Calculus Group. |
|---|---|
| Други автори: | Hilbert, Stephen. |
| Формат: | Електронен |
| Език: | English |
| Публикувано: |
Washington, DC :
Mathematical Association of America,
2010.
|
| Серия: |
Classroom resource materials (Unnumbered)
|
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=490207 |
| Подобни документи: |
Print version::
Calculus. |
Съдържание:
- ""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""
- ""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""
- ""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""
- ""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""
- ""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""