# Glenn Ledder

 Classes Math Education for Biology BUGBOX simulations Maple TA Question Banks Talks Mathematics for the Life Sciences (Springer, 2013) Course Notes Model Teaching Portfolio

## Vital Info

Glenn Ledder
334 Avery Hall
Department of Mathematics
FAX: (402)-472-8466
e-mail: gledder@unl.edu

## Office Hours

• M 2-3, W 1-2, Th 1-2; also by appointment

## Classes

 Math 423/823 TR 9:30-10:45 Complex Variables Math 433/833 TR 11:00-12:15 Nonlinear Optimization

## Large Print macros for LaTeX

It is somewhat tricky to produce a large print version of a LaTeX document for visually-impaired students. I have worked out a general scheme that allows me to quickly convert documents to large print.

## 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.

## 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

## 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.

## Course Notes

• For best results, set up the following in the lower left corner of the Acrobat print dialog box:

• Set "Page Scaling" to "None"
• Uncheck the box marked "Auto-Rotate and Center"

### 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.

Surface Integrals is a handout that summarizes the theory and computational methods for scalar surface integrals and flux integrals.