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• catalog abstract "Animating Calculus is designed to help you explore calculus and visualize concepts through the use of computation and animation. This collection of 22 labs, together with the computer algebra system Mathematica, can be used for self-study, demonstration, or as a laboratory supplement to an existing calculus sequence. Standard calculus topics as well as new and unusual extensions and applications are presented, including derivatives and rate of change, calculus and landing airplanes, population dynamics and iteration, the fundamental theorem, The Buffon needle problem, numerical and symbolic integration, rolling wheels (round and square), subtleties of the harmonic series, and more. Animating Calculus includes exercises and demonstrations that focus on important and fundamental ideas and applications rather than the everyday mechanics of a computer algebra system. Sophisticated animations are used to clarify geometric concepts in calculus. In addition, discussions of numerical and graphical pitfalls help the student to understand the importance of verifying results. Originally published by W.H. Freeman, this new TELOS edition of Animating Calculus includes the full set of labs for DOS/Windows as well as Macintosh platforms.".
• catalog contributor b9841697.
• catalog contributor b9841698.
• catalog created "1996.".
• catalog date "1996".
• catalog date "1996.".
• catalog dateCopyrighted "1996.".
• catalog description "Animating Calculus includes exercises and demonstrations that focus on important and fundamental ideas and applications rather than the everyday mechanics of a computer algebra system. Sophisticated animations are used to clarify geometric concepts in calculus. In addition, discussions of numerical and graphical pitfalls help the student to understand the importance of verifying results. Originally published by W.H. Freeman, this new TELOS edition of Animating Calculus includes the full set of labs for DOS/Windows as well as Macintosh platforms.".
• catalog description "Animating Calculus is designed to help you explore calculus and visualize concepts through the use of computation and animation. This collection of 22 labs, together with the computer algebra system Mathematica, can be used for self-study, demonstration, or as a laboratory supplement to an existing calculus sequence. Standard calculus topics as well as new and unusual extensions and applications are presented, including derivatives and rate of change, calculus and landing airplanes, population dynamics and iteration, the fundamental theorem, The Buffon needle problem, numerical and symbolic integration, rolling wheels (round and square), subtleties of the harmonic series, and more.".
• catalog description "Lab 1. Initiation -- Lab 2. Plotting -- Lab 3. Derivatives: Measuring the Rate of Change -- Lab 4. The Race to Infinity -- Lab 5. Indeterminate Limits and L'Hopital's Rule -- Lab 6. Using Calculus to Land an Airplane -- Lab 7. Max-Min Methods: Mind Meets Machine -- Lab 8. Staying on Track with Newton's Method -- Lab 9. Population Dynamics, Iteration, and Chaos -- Lab 10. What Is an Integral? -- Lab 11. The Fundamental Theorem -- Lab 12. The Needle Problem -- Lab 13. Integration by Machine -- Lab 14. Numerical Integration -- Lab 15. Differential Equations and Euler's Method -- Lab 16. Probability and Calculus -- Lab 17. Roses, Snails, and Butterflies -- Lab 18. Rolling Wheels -- Lab 19. Infinite Series of Constants -- Lab 20. Rhythm and Dissonance in the Harmonic Series -- Lab 21. Polynomial Approximation and Taylor Series -- Lab 22. A Deceptive Definitive Integral -- App. 1. Troubleshooting -- App. 2. Usage Messages for Animating Calculus Objects.".
• catalog extent "xiv, 292 p. :".
• catalog identifier "0387947485 (sftcvr : alk. paper)".
• catalog issued "1996".
• catalog issued "1996.".
• catalog language "eng".
• catalog publisher "New York : TELOS,".
• catalog subject "515/.0285/53 20".
• catalog subject "Calculus Computer-assisted instruction.".
• catalog subject "Mathematica (Computer file)".
• catalog subject "QA303.5.C65 P33 1996".
• catalog tableOfContents "Lab 1. Initiation -- Lab 2. Plotting -- Lab 3. Derivatives: Measuring the Rate of Change -- Lab 4. The Race to Infinity -- Lab 5. Indeterminate Limits and L'Hopital's Rule -- Lab 6. Using Calculus to Land an Airplane -- Lab 7. Max-Min Methods: Mind Meets Machine -- Lab 8. Staying on Track with Newton's Method -- Lab 9. Population Dynamics, Iteration, and Chaos -- Lab 10. What Is an Integral? -- Lab 11. The Fundamental Theorem -- Lab 12. The Needle Problem -- Lab 13. Integration by Machine -- Lab 14. Numerical Integration -- Lab 15. Differential Equations and Euler's Method -- Lab 16. Probability and Calculus -- Lab 17. Roses, Snails, and Butterflies -- Lab 18. Rolling Wheels -- Lab 19. Infinite Series of Constants -- Lab 20. Rhythm and Dissonance in the Harmonic Series -- Lab 21. Polynomial Approximation and Taylor Series -- Lab 22. A Deceptive Definitive Integral -- App. 1. Troubleshooting -- App. 2. Usage Messages for Animating Calculus Objects.".
• catalog title "Animating calculus : Mathematica notebooks for the laboratory / Ed Packel, Stan Wagon.".
• catalog type "Aufgabensammlung. swd".
• catalog type "text".