Discovering Calculus with Mathematica - Softcover

Anton, Howard

 
9780471539698: Discovering Calculus with Mathematica

Synopsis

This Fourth Edition has been revised to reflect the tremendous changes taking place in the way calculus is taught. Now includes coverage of the same topics that are in the Brief Edition plus additional discussions of three-dimensional space and vectors, vector-valued functions, partial derivatives, multiple integrals and vector calculus. Continues the fine tradition of earlier volumes with attention to detail, well-written explanations and a lively, accessible approach to learning.

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From the Back Cover

Discovering Calculus with Mathematica 0-471-53969-4 Bart Braden, Northern Kentucky University Donald Krug, Northern Kentucky University Philip McCartney, Northern Kentucky University Steven Wilkinson, Northern Kentucky University This hands-on manual uses Mathematica to offer students additional insights into calculus through graphics and animation as well as symbolic and numerical computation. Each chapter includes the following:

  1. Introduction to basic Mathematica commands in a simple "interactive dialog" format. A sequence of commands is presented for students to type and execute, together with a brief commentary. Most of the output is absent, encouraging students to actually execute commands.
  2. Examples are worked out, with explanatory comments. Output is included when its interpretation is not obvious.
  3. Exercises are included. Some have been chosen from the new edition of Anton: Calculus, Fourth Edition, and are indicated in the manual. In the later chapters the sophistication of the student regarding both calculus and Mathematica has increased, and so the exercises become more challenging.
Lab projects can be used as classroom demonstrations and can be stored electronically as "interactive notebooks" for student use. Parametric equations from surfaces are discussed in detail. This allows students to graph the boundary surfaces in triple integrals, and highlights the close parallel between surface integrals and line integrals, all of which increases students’ geometric visualization. Other Discovering Calculus Manuals: Discovering Calculus with Graphing Calculators J. H. McCarter, Arizona State University 0-471-55609-2 Discovering Calculus with Derive Jerry Johnson, Oklahoma State University Benny Evans, Oklahoma State University 0-471-55155-4 Discovering Calculus with Maple Kent Harris, Western Illinois University 0-471-55156-2

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