Wright State University Calculus Laboratory Program

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Calculus Laboratory Materials for Mathematica

These notebooks (listed below) are intended as a comprehensive laboratory component of a first-year Calculus course taught in the format of a laboratory science, with a mix of lecture and laboratory experience. They are far more extensive than laboratory supplements provided by publishers; the printed versions are well over 500 pages in length. They contain a significant amount of narrative and are nearly complete in coverage, but are not intended to be used as a stand-alone text. Rather they are intended to be used in conjunction with another text. I have tried not only to provide technology-related examples and problems but also to provide topics, approaches and problems which can be used as alternatives to those found in texts. I have attempted to make the notebooks as independent and self-contained as possible, so that they can be used to support various approaches and orderings of material.

These notebooks of course require the use of Mathematica software, but they also require the use of calcE, a package written by the author which customizes Mathematica for use in a teaching laboratory. calcE is available at a very reasonable price; contact the author for details.

Printed versions of these notebooks are available from Thomson Learning Custom Publishing.

The development of these notebooks was supported in part by grant USE-9153300 from the National Science Foundation.

Contact

Richard Mercer
Department of Mathematics and Statistics
Wright State University
Dayton, OH 45435
richard.mercer@wright.edu
http://www.math.wright.edu/People/Richard_Mercer/
937-775-2191

Notebooks for First-Year Calculus

00-09 Introduction to Calculus 01 Graphs and Mathematica 02 Functions and Graphs 03 Graphs and Calculus 04 Tangent Lines 05 Rates of Change 06 Derivatives and Graphs 07 Using Graphs 08 Sequences 09 Iteration	10-19 Derivatives 10 The Derivative 11 Limits and Derivatives 12 Limits and Infinity 13 Polynomial Functions 14 Transcendental Functions 15 Algebra and Derivatives 16 The Chain Rule 17 Inverse Trig Functions 18 Mean Value Theorem	20-29 Applications of Derivatives 20 Derivatives and Rates 21 Linear Approximation 22 Quadratic Approximation 23 Advanced Graphing 24 Newton's Method 25 Optimization 27 Indeterminate Forms 28 Antiderivatives 29 Projects I
30-39 Integrals 31 Area 32 Area Functions 33 Riemann Sums 34 Area and Limits 35 Substitution 36 Integration by Parts 37 Partial Fractions 38 Trigonometric Integrals 39 Numerical Integration	40-49 Applications of Integrals 40 Improper Integrals 41 Areas in the Plane 42 Volumes of Revolution 43 Arc Length 45 Differential Equations 49 Projects II	50-59 Vectors 51 Vectors 52 Dot Products 53 Parametric Equations 54 Vector Functions 55 Polar Coordinates 56 Rotations 57 Vectors and Motion 58 Velocity and Acceleration 59 Modeling Motion
60-69 Curves and Surfaces 66 Bezier Curves 67 Parametric Surfaces 68 Quadric Surfaces	70-79 Series 70 Sequences and Limits 71 Numerical Series 72 Convergence 73 Taylor Polynomials 74 Taylor Series 75 Euler's Formula 76 Fourier Series