Symbolic Computation Book Cover

Symbolic Computation in Undergraduate Mathematics Education

Karian, Z. A. (Ed.)

 

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Table of Contents

Part I: General Pedagogic Issues
Questions for the Future: What About the Horse?    by David A. Smith Alan H. Schoenfeld
Symbolic Computing in Undergraduate Mathematics: Symbols, Pictures, Numbers, and Insight    by Paul Zorn
Naturalizing Computer Algebra for Mathematical Reasoning    by Tryg A. Ager and Sam Dooley
A Learning Theory Approach to Calculus    by Ed Dubinsky
Mathematical Processes and Symbols in the Mind    by David Tall

Part II: Symbolic Computation in Calculus
Using a Symbolic Computation System in a Laboratory Calculus Course    by L. Carl Leinbach
Some Uses of Symbolic Computation in Calculus Instruction: Experiences and Reflections    by Joan R. Hundhausen
Four Uses of Derive in the Instruction of Calculus at the United States Military Academy    by David H. Olwell
Antidifferentiation and the Definite Integral: Using Computer Algebra to Make a Difference    by Phoebe T. Judson
Lasting Impressions with Calculus Movies    by J. A. Eidswick

Part III: Symbolic Computation in Linear Algebra and Differential Equations
Some Examples of the Use of CAS in Teaching Linear Algebra and Calculus    by J. W. Auer and E. R. Muller
Using Graphing Calculators to Enhance the Teaching and Learning of Linear Algebra    by Don LaTorm
CAS in Differential Equations and Linear Algebra    by Patrick Sullivan
Linear Systems of Differential Equations via Maple    by Robert J. Lopez
The Use of Programmable Graphics Calculators in a Differential Equations Course    by T. G. Proctor

Part IV: Symbolic Computation in Advanced Undergraduate Courses
Teaching Combinatorics and Graph Theory with Mathematica    by Steven S. Skiena
Use of Symbolic Computation in Probability and Statistics    by Zaven A. Karian and Andrew Sterrett

Part V: Getting Started and Review of the Literature
Reformation at St. Olaf    by Paul D. Humke
Review of Calculus Laboratory Materials    by Anita E. Solow
Computer Algebra in Undergraduate Mathematics: An Annotated Bibliography    by Stanley E. Seltzer


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