Discovering Calculus with Mathematica - Softcover

Bart Braden Et Al

Softcover

ISBN 10: 0471539694 ISBN 13: 9780471539698

Publisher: John Wiley & Sons, 1992

Synopsis

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

About this title

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

Edition details

• Publisher: John Wiley & Sons
• Publication date: 1992
• Language: English
• ISBN 10: 0471539694
• ISBN 13: 9780471539698
• Binding: Paperback
• Edition number: 1
• Number of pages: 180