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E-book
Author Ithaca College. Calculus Group, author.

Title Calculus : an active approach with projects / the Ithaca College Calculus Group ; Stephen Hilbert [and 4 others]
Published Washington, DC : Mathematical Association of America, [2010]

Copies

Description 1 online resource (xxiv, 307 pages) : illustrations
Series Classroom resource materials
Classroom resource materials.
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
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 Image1.8 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 Graphs2 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 Magnification4 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-Sunset5.3 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
Notes Online resource; title from digital title page (JSTOR platform, viewed November 7, 2016)
Subject Calculus.
calculus.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Calculus
Form Electronic book
Author Hilbert, Stephen, author
LC no. 2010938955
ISBN 9780883859728
0883859726
0883857634
9780883857632