Learning by Discovery: A Lab Manual for Calculus
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Learning By Discovery contains 26 laboratory modules that can be used as lab components in your course, or assigned as independent projects. The labs are written without specific computer commands, so students read mathematics, not text. Suggestions are provided for implementing these labs on Derive, Maple and MATHEMATICA ®. Many can be done on graphing calculators. Cover Title Page MAA Notes and Reports SeriesThe Copyright Introduction: Resources for Calculus Collection The Five Volumes of the Resources for Calculus Collection Acknowledgements Table of Contents Preface A Note to Students Lab 1: Graphing Functions Lab 2: Introduction to Limits of Functions Lab 3: Zooming In Lab 4: Discovering the Derivative Lab 5: Investigating the Intermediate Value Theorem Lab 6: Relationship between a Function and Its Derivative Lab 7: Linking Up with the Chain Rule Lab 8: Sensitivity Analysis Lab 9: Newton's Method Lab 10: Indeterminate Limits and l'Hopital's Rule Lab 11: Riemann Sums and the Definite Integral Lab 12: Area Functions Lab 13: Average Value of a Function Lab 14: Arc Length Lab 15: A Mystery Function Lab 16: Exploring Exponentials Lab 17: Patterns of Integrals Lab 18: Numerical Integration Lab 19: Becoming Secure with Sequences Lab 20: Getting Serious about Series Lab 21: Limit Comparison Test Lab 22: Approximating Functions by Polynomials Lab 23: Radius of Convergence for Power Series Lab 24: Polar Equations Lab 25: Differential Equations and Euler's Method Lab 26: Shapes of Surfaces Syllabi for Calculus I & II
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