
5076SLanchesterLaws
27 Jul 2021  Modeling Scenarios  Contributor(s): Blain Patterson
Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time, with the function depending only on A and B. In this project, you...

3076SCircuitBuilding
27 Jul 2021  Modeling Scenarios  Contributor(s): Chiu Choi
In this project students will establish a mathematical model for an electric circuit as a secondorder ordinary differential equation with constant coefficients. They will derive the initial conditions for this differential equation by using circuit laws. They will obtain its closedform solution...

SIMIODE Textbook Code Materials Arranged by Software
04 Jul 2021  General Resources  Contributor(s): Kurt Bryan
SIMIODE Textbook ResourcesPreambleThe various scripts and routines below are preliminary versions that support the exercises and projects throughout the book, especially those that involve data or large symbolic or numerical computations (they will be "official" in late August...

The UMAP Journal Review of SIMIODE Textbook
23 Jun 2021  General Resources  Contributor(s): Brian Winkel
We post Glenn Ledder's (Universityi of Nebraska  Lincoln) very favorable review of SIMIODE's new textbook Differential Equations: A Toolbox for Modeling the World which is authored by the distinguished teacher and writer, Dr. Kurt Bryan, RoseHulman Institute of Technology, Terre...

Student Projects Using SIMIODE Materials to Prepare a Video Talk for High School Students
19 May 2021  General Resources  Contributor(s): Lawrence C Udeigwe
From Dr. Lawrence C. Udeigwe, Associate Professor of Mathematics, Manhattan College, Riverdale NY USA. lawrence.udeigwe@manhattan.eduThis semester, I made my differential equations students (mostly sophomores, some freshmen) adopt SIMIODE materials for their final projects....

Differential Equation text using modeling and Maple
11 Apr 2021  General Resources  Contributor(s): Brian Winkel
We share news of a rich source of materials for undergraduates studying differential equations.DIFFERENTIAL EQUATIONS. Applied Mathematical Modeling, Nonlinear Analysis, and Computer Simulation in Engineering and Science, Sergio E. Serrano, Ph.D.An introduction to ordinary...

Spectral Estimation: Theory, Apps, & Digital Signal Processing
29 Mar 2021  General Resources  Contributor(s): Phil B Brubaker

Engineering Design Optimization using Calculus Level Methods: A Casebook Approach (Manual)
27 Mar 2021  General Resources  Contributor(s): Phil B Brubaker
Engineering Design Optimizationusing Calculus Level Methods: A Casebook ApproachBy Phil B Brubaker Welcome to Calculuslevel Problem Solving!Engineers in industry wanted to ‘tweak’ their parameters. So this textbook was written to show the simplicity of...

Optimum Matched Filter Design (Transfer Function)
26 Mar 2021  General Resources  Contributor(s): Phil B Brubaker
Optimum Matched Filter (Transfer Function)(Nested Processes ... Each Process controlled by a Solver)Problem DescriptionThe transfer function H(s) is the Laplace transform of the output signal Yout(s)* divided by the Laplace transform of the input signal Yin(s)*: that is H(s)= ...

Inverse Problems solved with a Calculuslevel (Programming) Language
26 Mar 2021  General Resources  Contributor(s): Phil B Brubaker
Inverse Problems“You know what you want, just don’t know how to get there.”Inverse Problems (IPs) are an important special set of problems that fit the statement “You know what you want, you just don’t know how to get there.” A proper directive...

Importance of Curve Fitting
26 Mar 2021  General Resources  Contributor(s): Phil B Brubaker
Importance of Curve Fitting Curve fitting data to a continuous math function is commonly done for the following reasons:interpolation and/or extrapolation of data;parameter estimation where derivative values are required;ease to ‘picture’ a technical problem...

SIMIODE EXPO 2021  Minicourse MR4  Unlocking Creativity and Enhancing Flexible Thinking through Art
17 Mar 2021  Presentations  Contributor(s): Mike Naylor
SIMIODE EXPO 2021  Mike Naylor  How Mathematics Inspires Art Mike Naylor, Matematikkbølgen, Vanvikan NORWAYThis was a presentation made at the SIMIODE EXPO 2021  see program.Abstract: We will start with a pattern arising from the solution to a puzzle, and see what...

SIMIODE EXPO 2021  Minicourse MR4  Unlocking Creativity and Enhancing Flexible Thinking through Art
17 Mar 2021  Presentations  Contributor(s): Sofya Kerzhner
SIMIODE EXPO 2021  Minicourse MR4  Sofya Kerzhner  Unlocking Creativity and Enhancing Flexible Thinking through Art Sofya Kerzhner, Baltimore City Community College, Owings Mills MD USAThis was a presentation made at the SIMIODE EXPO 2021 ...

SIMIODE EXPO 2021  Keynote Speaker  An Overview of Data Science Problems in the Sports Industry
16 Mar 2021  Presentations  Contributor(s): Brian Macdonald
SIMIODE EXPO 2021  Keynote Speaker  An Overview of Data Science Problems in the Sports IndustryBrian Macdonald, Statistics and Data Science, Carnegie Mellon University, Pittsburgh PA USA (Video)This was a presentation made at the SIMIODE EXPO 2021 ...

1139SPlantsVsHerbivores
08 Mar 2021  Modeling Scenarios  Contributor(s): Mary Vanderschoot
In a recent study of plants and herbivores on an island in the North Sea, ecologists made a surprising observation: Instead of more vegetation resulting in more grazers, more vegetation resulted in fewer grazers. Consequently, the ecologists hypothesized that, as the vegetation grew more dense,...

SIMIODE EXPO 2021  B5R3  Technology use  depth, use, type, in discovery, in analysis  Track 1
06 Mar 2021  Presentations  Contributor(s): Andrew B. Perry
SIMIODE EXPO 2021  (B5R3) Technology use  depth, use, type, in discovery, in analysis  Track 1 Numerical Solution of Ordinary Differential Equations Using Free Software Andrew Perry, Springfield College, Springfield MA USA This was a presentation made at the SIMIODE EXPO 2021...

SIMIODE EXPO 2021  Minicourse MR2  Delay Differential Equations in Epidemiology
06 Mar 2021  Presentations  Contributor(s): Nsoki Mamie Mavinga
SIMIODE EXPO 2021  Minicourse MR2  Nsoki Mavinga  Delay Differential Equations in Epidemiology Nsoki Mavinga, Swarthmore College, Swarthmore PA USA This was a presentation made at the SIMIODE EXPO 2021  see program. Abstract: Many problems in epidemiology give rise to...

1137SSheepGraze
03 Mar 2021  Modeling Scenarios  Contributor(s): Mary Vanderschoot
One of the most wellknown mathematical models in ecology is the LotkaVolterra predatorprey system of differential equations. Initially, this model was used to analyze interactions between two animal populations. But ecologists discovered that it could also be applied to plant (`prey') and...

SIMIODE EXPO 2021  PR1  Faculty Development Programs
02 Mar 2021  Presentations  Contributor(s): Elizabeth A Roan, Guangming Yao
SIMIODE EXPO 2021  PR1  Faculty Development ProgramsThis is a panel and moderated by Elizabeth Roan.This was a presentation made at the SIMIODE EXPO 2021  see program.Initiating Projects Elements for StudentsGuangming Yao, Clarkson University, Potsdam NY...

SIMIODE EXPO 2021  B1R2  Solving the Rocket Equation with Mathematica and Kerbal Space Program
02 Mar 2021  Presentations  Contributor(s): Christopher Scott Vaughen
SIMIODE EXPO 2021  B1R2  Solving the Rocket Equation with Mathematica and Kerbal Space Program (B1R2) Student Activities  Sources, engagement, level, management Christopher Scott Vaughen, Montgomery County Community College, Blue Bell PA USAAbstract: In this...