Resources (1-20 of 20)

1. 5-007-ChemOpt-ModelingScenario

   15 Oct 2023 | Teaching Materials | Contributor(s):

   By Brian Winkel

   SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

   Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.

   https://qubeshub.org/publications/2979/?v=2

2. 2020-TeachingModule-SpringDesignToMeetSpecsAtMinimumCosts

   14 Aug 2023 | Teaching Materials | Contributor(s):

   By Brian Winkel

   SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations, Chardon OH USA

   We discuss a Modeling Scenario in which students are asked to design a spring mass system at minimum costs give relative costs of features of the spring.

   https://qubeshub.org/publications/4508/?v=1

3. 6-005-InsectColonySurvivalOpt-ModelingScenario

   18 Apr 2023 | Teaching Materials | Contributor(s):

   By Brian Winkel

   SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

   We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number...

   https://qubeshub.org/publications/2976/?v=3

4. 6-005-InsectColonySurvivalOpt-ModelingScenario

   18 Apr 2023 | Teaching Materials | Contributor(s):

   By Brian Winkel

   SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

   We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number...

   https://qubeshub.org/publications/2976/?v=2

5. 2017-D_Goulet-Modeling, Simulating, and Parameter Fitting of Biochemical Kinetic Experiments

   10 Apr 2023 | Teaching Materials | Contributor(s):

   By D Goulet

   NA

   In many chemical and biological applications, systems of differential equations containing unknown parameters are used to explain empirical observations and experimental data. The differential...

   https://qubeshub.org/publications/4192/?v=1

6. 2012-Nokkaew-EtAl-Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm

   07 Apr 2023 | Teaching Materials | Contributor(s):

   By A Nokkaew

   NA

   This paper presents a double layer genetic algorithm (DLGA) to improve performance of the information-constrained parameter estimations.

   https://qubeshub.org/publications/4084/?v=1

7. 2002-Chai-Optimal initial angle to fire a projectile

   03 Apr 2023 | Teaching Materials | Contributor(s):

   By William Chai

   NA

   Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance...

   https://qubeshub.org/publications/3952/?v=1

8. 2008-Brian_Winkel-Fourier_Series-Optimization_Opportunity

   13 Mar 2023 | Teaching Materials | Contributor(s):

   By Brian Winkel

   SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

   We discuss the introduction of Fourier series as an immediate application of optimization of a function of more than one variable.

   https://qubeshub.org/publications/3814/?v=1

9. 1990-Winkel_Brian-First-year_calculus_students_as_in-class_consultants

   12 Mar 2023 | Teaching Materials | Contributor(s):

   By Brian Winkel

   SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

   We demonstrate how we use traditional text book calculus problems to involve first year calculus students as consultants. Students are asked to solve a “real world” problem after interviewing a...

   https://qubeshub.org/publications/3802/?v=1

10. 1-047a-CondensationOptimization-ModelingScenario

    25 May 2022 | Teaching Materials | Contributor(s):

    By Chris McCarthy, Brian Winkel¹

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We seek to optimize a condensation process which is modeled by a simulation using the random motion of 200 particles in a 50 by 50 square in which a particle bounces off the two vertical and top...

    https://qubeshub.org/publications/3285/?v=1

11. 1-050-BargingAhead-ModelingScenario

    25 May 2022 | Teaching Materials | Contributor(s):

    By Timothy Pennings

    Davenport University, Grand Rapids MI USA

    As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy.

    https://qubeshub.org/publications/3283/?v=1

12. 1-102-CancerTumor-ModelingScenario

    22 May 2022 | Teaching Materials | Contributor(s):

    By Jue Wang

    This module guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including...

    https://qubeshub.org/publications/3223/?v=1

13. 1-102C-CancerGrowth-ModelingScenario

    22 May 2022 | Teaching Materials | Contributor(s):

    By Jennie D'Ambroise¹, Jue Wang

    SUNY Old Westbury, Old Westbury NY USA

    This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including...

    https://qubeshub.org/publications/3222/?v=1

14. 1-118-SolowEconomicGrowth-ModelingScenario

    22 May 2022 | Teaching Materials | Contributor(s):

    By Yuri Yatsenko

    Houston Baptist University, Houston TX USA

    Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a...

    https://qubeshub.org/publications/3214/?v=1

15. 4-039-FallingDarts-ModelingScenario

    18 May 2022 | Teaching Materials | Contributor(s):

    By Jacob Duncan

    we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and separation...

    https://qubeshub.org/publications/3129/?v=1

16. 5-080-SpaceFlightRecolonize-ModelingScenario

    18 May 2022 | Teaching Materials | Contributor(s):

    By Brian Allen, Karoline Hood¹

    United States Military Academy, West Point NY USA

    This project is a combination of differential equations, multi-variable calculus, and vector calculus with use of technology to model colonization of a new planet. Students solve a system of second...

    https://qubeshub.org/publications/3112/?v=1

17. 6-026-IsleRoyaleModeling-ModelingScenario

    17 May 2022 | Teaching Materials | Contributor(s):

    By Stephen Morse¹, Brian Allen¹, Stanley Florkowski¹

    United States Military Academy, West Point, NY USA

    The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.

    https://qubeshub.org/publications/3087/?v=1

18. 5-007-ChemOpt-ModelingScenario

    05 May 2022 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.

    https://qubeshub.org/publications/2979/?v=1

19. Fitting Exponential and Logistic Growth Models to Bacterial Cell Count Data

    17 Dec 2021 | Teaching Materials | Contributor(s):

    By Adam Rumpf

    Florida Polytechnic University

    In this activity, students will model a noisy set of bacterial cell count data using both exponential and logistic growth models. For each model the students will plot the data (or a linear...

    https://qubeshub.org/publications/2831/?v=1

20. Dairy Farm Mathematics

    11 Sep 2018 | Teaching Materials | Contributor(s):

    By Richard Francisco¹, Katie Gilbert¹

    University of Georgia

    We based our instructional unit on the premise that many people have, that one does not need mathematics if the they do not plan on atttending college or pursuiting careers known for involving...

    https://qubeshub.org/publications/783/?v=1