Glenn Ledder

Photograph (taken at the new media center) goes here.


Classes
BUGBOX simulations
EDU documentation
EDU/Maple TA Question Banks
Talks
MAPLE Worksheets
Course Notes
Model Teaching Portfolio


Vital Info

Glenn Ledder
334 Avery Hall
Department of Mathematics
University of Nebraska--Lincoln

Voice: (402)-472-7382
FAX: (402)-472-8466
e-mail:gledder@math.unl.edu

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Classes

Math 198 MTWRF 11:00-12:00 Avery 12 Research Skills for Theoretical Ecology

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BUGBOX Mathematical Modeling Simulations

I have written software that can be used for inquiry-based learning of mathematical modeling for population dynamics. The software creates a virtual laboratory space inhabited by virtual insects. Students conduct experiments and devise mathematical models to predict the experiment results.

In BUGBOX_predator, students do experiments to find a relationship between prey density and consumption by one predator.

In BUGBOX_population, students observe the changes in the insect population to discover aspects of the insects' life cycle. They can construct a simple linear difference equation model, using their observations to estimate the parameter values. Four different scenarios give a sequence of increasing complexity.

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EDU Documentation

These documents deal with the administrative aspects of EDU, which we define to include all tasks other than creation of question banks. The full set of documents is available as a zip folder, and individual documents are available in pdf form.

The amount of documentation needed for each individual user depends on the level of that user. An administrative unit needs to have one expert who is familiar with all of the documents; individual instructors need only be familiar with some of the documents.

EDUadministration (2 pages) is an overview of an administrative plan that uses Course Folders to maintain question banks and assignments for an indefinite period of time and Class Folders to maintain student records for individual classes. A file structure such as this simplifies EDU administration, particularly for multi-section courses where some instructors are only marginally acquainted with EDU.

EDUcoursefolders (1 page) is a step-by-step guide to those tasks needed to create and maintain a Course Folder, as described in the administration plan.

EDUtutorial (3 pages) is a tutorial that introduces EDU to newcomers. The tutorial includes examples of the tasks detailed in the EDUclassfolders and EDUstudentinfo documents. This tutorial can be used at institutions other than UNL by creating a course folder and uploading the Calcdemo.zip module.

EDUinstructorinfo (1 page) is an overview of the EDU folder structure and instructor-related documentation.

EDUstudentinfo (1 page) is a step-by-step guide to the process of registering for an EDU course and taking assignments.

EDUclassfolders (2 pages) contains directions for creating and maintaining a Class Folder. This file only includes the most important tasks: observing/re-grading student work and changing Assignment details.

EDUassignments (1 page) is a step-by-step guide to the process of creating Assignments from available Question Banks. Instructors who have access to Assignments created by others and wish to use them do not need to know how to create their own Assignments.

EDUgradebook (1 page) is a step-by-step guide for obtaining EDU grades in a form that can be pasted into a class grade spreadsheet. EDU currently assumes that all homework/quiz assignments are worth the number of points given in the assignment and that all mastery assignments are worth one point. An instructor who wants to choose a different scoring system must either manipulate the downloaded gradebook.xls or download and run the Perl script edu.pl.


EDUassessment is a Powerpoint presentation for a talk given on January 12, 2006 at the Joint Math Meeting.

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Question Banks for EDU / Maple TA

Each of these folders contains a question bank designed for use with EDU, Maple TA, and other related packages, along with a detailed description of the questions. The questions banks were created with funding from an NSF DUE grant 0127777.

QUESTION BANK
DESCRIPTION
The differentiation skills (Gateway) exam used in Calculus I (Math 106) UNLdiffexam_August2006 UNLdiffexam_August2006
The integration skills (Gateway) exam used in Calculus II (Math 107) UNLintegexam_July2005 UNLintegexam_July2005
limits for Calculus I UNLQB_limits UNLQB_limits
computation of derivatives for Calculus I UNLQB_derivative_computation UNLQB_derivative_computation
derivative concepts and applications for Calculus I UNLQB_derivative_concepts UNLQB_derivative_concepts
integrals for Calculus I UNLQB_integrals UNLQB_integrals

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MAPLE Worksheets

Calculus Demonstrations

secant-tangent gives a visual demonstration of how the tangent line is approximated by a sequence of secant lines.

Basic Maple tutorials (with exercises)

primer1 is an introduction to Maple designed for users who have no Maple experience.

primer2 is a demonstration of the use of formulas to represent functions and introduces basic commands for differentiation and integration.

solutions for the exercises in primer 2.

Differential Equations tutorials (with exercises)

DEtools1 is a demonstration of the use of the DEtools package to plot direction fields and solutions for first order equations.

DEtools2 is a demonstration of the use of the DEtools package to plot direction fields and solution curves for systems of two first order equations.

odes is a demonstration of Maple commands for obtaining and graphing analytical and numerical solutions for differential equations and systems.

Partial Differential Equations

HeatIVP is a worksheet that prepares graphs and animations for solutions of the Cauchy problem for the heat equation.

WaveIVP is a worksheet that prepares graphs and animations for solutions of the Cauchy problem for the wave equation.

DiffusionDisk is a worksheet that illustrates the use of Maple to solve homogeneous linear PDE's with constant coefficients on a bounded domain by the method of separation of variables. The worksheet solves the problem of radial diffusion in a disk. The worksheet assumes that the user knows the correct Sturm-Liouville equation and can solve the equation for the time-dependent factors by hand. (One can of course add more code to automate some of these simpler features.)

Linear Programming

simplex is a worksheet for the simplex algorithm.

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Course Notes

Calculus III

Derivative Concept is a handout that briefly summarizes the concept of the derivative for functions of 1 variable, with emphasis on the geometric significance of the derivative.

Directional Slope is a handout that lays the groundwork for the development of the directional derivative by considering the slope in a given direction of a linear function. Exercises are included.

Optimization is a handout that summarizes the theory and methods for for finding local and global extrema for functions of two variables.

Line Integrals is a handout that summarizes the theory and computational methods for integrals of vector fields along curves.

Flux Integrals is a handout that summarizes the theory and computational methods for integrals of vector fields through surfaces.

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Model Teaching Portfolio

Portfolio is my teaching portfolio for my Spring 1999 Differential Equations course. This portfolio was prepared in May 2000 for the Peer Review project.

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Feel free to use any of my materials for courses at other schools. I would appreciate being informed about which of my materials have been used where.

Mail to: gledder@math.unl.edu
Last changed: June 10, 2008

Designed by Becky Ledder