Applications of MAPLE in the Instruction of Probability and Statistics

Abstract: A Computer Algebra System (CAS) such as MAPLE can solve problems symbolically. A CAS can also be used to do numerical calculations. Simulation can be incorporated in a variety of applications. The graphical capability of a CAS can help students see properties of data and the meaning of expressions that are given symbolically. Examples will be given that illustrate ways for integrating MAPLE into the instruction of probability and statistics. Some show animations of figures that would be static in a book or paper. Some illustrate symbolic solutions along with simulation to support some of these solutions. The statistics package that comes with MAPLE is not complete. However, Zaven Karian has written more than 130 additional procedures to support instruction in probability and statistics. These procedures are available at no cost and some will be illustrated.

Biographical sketch:  Elliot Tanis earned his BA from Central College in Iowa and his PhD from the University of Iowa where he worked with Robert Hogg and Allen Craig. After teaching at the University of Nebraska for two years, he joined the faculty at Hope College where he is in his 35th year. He is the author with Robert Hogg of "Probability and Statistical Inference," fifth edition, and with Zaven Karian of "Probability and Statistics: Explorations with MAPLE," second edition.