SIMIODE

5-076-S-LanchesterLaws

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...

3-076-S-CircuitBuilding

27 Jul 2021 | Modeling Scenarios | Contributor(s): Chiu Choi

In this project students will establish a mathematical model for an electric circuit as a second-order ordinary differential equation with constant coefficients. They will derive the initial conditions for this differential equation by using circuit laws. They will obtain its closed-form 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, Rose-Hulman 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 Calculus-level 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 Calculus-level (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 M-R4 -  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 M-R4 - Unlocking Creativity and Enhancing Flexible Thinking through Art 

17 Mar 2021 | Presentations | Contributor(s): Sofya Kerzhner

SIMIODE EXPO 2021 - Minicourse M-R4 - 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  -...

1-139-S-PlantsVsHerbivores

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 - B5-R3 - Technology use - depth, use, type,  in discovery, in analysis - Track 1

06 Mar 2021 | Presentations | Contributor(s): Andrew B. Perry

SIMIODE EXPO 2021 - (B5-R3) 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 M-R2 - Delay Differential Equations in Epidemiology 

06 Mar 2021 | Presentations | Contributor(s): Nsoki Mamie Mavinga

SIMIODE EXPO 2021 - Minicourse M-R2 - 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...

1-137-S-SheepGraze

03 Mar 2021 | Modeling Scenarios | Contributor(s): Mary Vanderschoot

One of the most well-known mathematical models in ecology is the Lotka-Volterra predator-prey 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 - P-R1 -  Faculty Development Programs

02 Mar 2021 | Presentations | Contributor(s): Elizabeth A Roan, Guangming Yao

SIMIODE EXPO 2021 - P-R1 -  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 - B1-R2 - Solving the Rocket Equation with Mathematica and Kerbal Space Program

02 Mar 2021 | Presentations | Contributor(s): Christopher Scott Vaughen

SIMIODE EXPO 2021 - B1-R2 - Solving the Rocket Equation with Mathematica and Kerbal Space Program (B1-R2) Student Activities - Sources, engagement, level, management Christopher Scott Vaughen, Montgomery County Community College, Blue Bell PA USAAbstract: In this...