







Interactive Learning in Calculus and Differential Equations with Applications






Organization:  Indiana University of Pennsylvania 
Organization:  Indiana University of Pennsylvania 
Department:  Department of Mathematics 






College






This project integrates discoverbased learning with Mathematica into the calculus sequence, Differential Equations, and Advanced Mathematics for Applications courses. These courses form a fourcourse sequence for mathematics and science majors.






Textbooks:  Calculus&Mathematica by Bill Davis, Horatio Porta and Jerry Uhl (Math Everywhere, Inc.)
 Differential Equations with BoundaryValue Problems by Dennis G. Zill and Michael R. Cullen (BrooksCole Publishing Company)
 Introduction to Applied Mathematics by Gilbert Strang (WellesleyCambridge Press)
Selected Mathematica Notebooks:  Finding Areas with the GaussGreen Formula
 Newton's Method and Fractals
 Vibrating Drumheads
 The Drag Force on a Sphere






The Mathematics Department at Indiana University of Pennsylvania (IUP) established a computerized learning environment, consisting of a classroom with 31 Macintosh Centris 650s and a laboratory with 12 Macintosh LCs, all equipped with Mathematica. Mathematica's notebook feature enables science students to actively learn calculus and differential equations with guided discovery and exploration. IUP's project has several significant attributes:  The Mathematics Department is fully implementing this curriculum in all sections of its science calculus sequence and in the twosemester differential equations sequence.
 Eleven faculty, comprising approximately one third of IUP's mathematics faculty, are coinvestigators.
 The curricular revisions are being coordinated with the science departments at IUP, who are also integrating active learning and technology in their courses. This collaboration, based on common pedagogical goals and software, will bring more scientific applications into mathematics courses and strengthen the use of mathematics in science courses.
 All students in the Mathematics Department are involved. Mathematics and Applied Mathematics majors are required to take Differential Equations, and Mathematics Education majors have a unit devoted to the project in the teacher preparation course, Computers and Calculators in Secondary Mathematics.
Advanced Mathematics for Applications is more fully described at http://library.wolfram.com/courseware/index.cgi?id=77












http://www.ma.iup.edu/projects/CalcDEMma/Summary.html

