Calculus
Academic Press Inc
978-0-12-673030-2 (ISBN)
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Calculus: The Language of Change is the second edition of the materials formerly called Calculus Using Mathematica. The second edition is intended for students training for technical careers in areas from modern finance to engineering. The text provides core material in calculus, making full use of modern computing to accelerate learning of important topics. There are new drill exercises, and the book includes Maple V as well as Mathematica (Version 2.3) to give students basic proficiency in using either application. The author continues to emphasize thorough grounding in limits, derivatives, and integrals, especially in engineering applications. Materials include the core text, a softbound book of student projects, and a computer CD. The CD contains Mathematica 3.0 notebooks and Maple Version 4 worksheets that are fully integrated with the text. In addition, the CD contains some optional text topics and a background book explaining the theory behind calculus.
In 1995, Dr. Keith D. Stroyan was presented with one of two annual teaching awards given by the University of Iowa. He also received the 1996 Council on Teaching Award. His publications include research monographs, undergraduate level texts, and 23 scholarly articles. Dr. Stroyan has also developed numerous educational software packages for undergraduates. He received his Ph.D. from the California Institute of Technology and his B.S. from Drexel University, where he graduated first in his class in the college of science.
Part One: Differentiation in One Variable Calculus with Computers.
Using Calculus to Model Epidemics.
Linearity vs. Local Linearity.
Differential Equations and Derivatives.
Symbolic Increments.
Symbolic Differentiation.
Related Rates & Implicit Derivatives.
The Natural Log and Exponential.
Graphs and the Derivative.
Velocity, Acceleration, and Calculus.
Maxima and Minima in One Variable.
Part Two: Integration in One Variable
Basic Integration.
Symbolic Integration.
Applications of Integration.
Part Three: 3-D Geometry
Basic Vector Geometry.
Parametric Curves.
Graphs in Several Variables.
Part Four: Differentiation in Several Variables
Differentiation in Several Variables
Several Variable Optimization-CD.
Part Five: Dynamics
Discrete Dynamical Systems-CD.
Continuous Dynamical Systems in 1-D.
Continuous Dynamical Systems in 2-D.
Linear Dynamical Systems.
Equalibria of Continuous Systems.
Part Six: Infinite Series
Geometric Series.
Power Series.
The Edge of Convergence.
Part Seven: Appendices on CD
High School Review with Computing.
Complex Numbers.
| Erscheint lt. Verlag | 1.1.1999 |
|---|---|
| Verlagsort | San Diego |
| Sprache | englisch |
| Maße | 191 x 248 mm |
| Gewicht | 1180 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-12-673030-X / 012673030X |
| ISBN-13 | 978-0-12-673030-2 / 9780126730302 |
| Zustand | Neuware |
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