
2020Stepien, Kostelich, Kuang. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review.
27 Feb 2020  Potential Scenario Ideas
Stepien, Kostelich, Kuang. 2020. Mathematics + Cancer: An Undergraduate Bridge Course in Applied Mathematics. SIAM Review. 62(1): 244263. This is an amazing article in support of a unique approach to an applied mathematics course based on the relationship between mathematics and cancer. We...

JMM 2020 MAA Minicourse #10 Wall to Wall Modeling Scenarios for Differential Equations
20 Jan 2020  Presentations
Joint Mathematics Meetings 2020 MAA Minicourse #10Wall to Wall Modeling Scenarios for Differential EquationsWe offer up the materials from the Minicourse. The actual files are found in Supporting Docs.Part A – Thursday, 16 January 2020, 9:00 AM  11:00 AM Room 704, Meeting Room...

JMM 2020 AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses
20 Jan 2020  Presentations
We present the titles and abstracts as well as complete presentation for talks given at AMS Special Session on Wall to Wall Modeling Activities in Differential Equations Courses, Room 108, Meeting Room Level, Colorado Convention Center, held at JMM 2020, 18 January 2020, Denver CO...

5015SRunnerSynchronize
13 Jan 2020  Modeling Scenarios
The goal is for students to practice finding and classifying equilibria of a onevariable system in this modeling context while also introducing variables defined on a restricted domain (the circle).

2005TextSLinearizeItAll
09 Dec 2019  Technique Narratives
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to...

2005TextSLinearizeItAll
09 Dec 2019  Technique Narratives
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained. A simple model using Torricelli's Law will compare the exact solution to...

10001STilingHallway
12 Sep 2019  Modeling Scenarios
Students will investigate difference equations through the context of tiling hallways. Students will observe patterns in the tiling which will lead to a difference equation model. Solutions will be calculated by iteration. Then students will be introduced to the concept of the shift...

1084SGoingViral
31 Aug 2019  Modeling Scenarios
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation. Finally, students solve the...

9015SUnearthingTruth
28 Aug 2019  Modeling Scenarios
This project introduces electrical resistivity tomography, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical current. Specifically, a known electrical current is injected into an object (for example, the earth) and...

1083SFallingMeteorites
24 Aug 2019  Modeling Scenarios
After introducing the solution to the ordinary differential equation which models a falling object with drag (firstorder, nonlinear, separable), students will consider generalizing the model to a falling and disintegrating meteorite. The focus is on creative identification of factors. Students...

3011SEulerBallThrowing
19 Aug 2019  Modeling Scenarios
If a tennis ball is thrown through the air it will eventually hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will maximize the distance the ball lands from the thrower taking into account air...

Ice Coverage in the Arctic Climate over time
17 Aug 2019  Articles and Publications
In this paper, entitled Ice Coverage in the Arctic Climate, from two students, Angie Dimopulos and Kelcey Heaney, and their professor, Dr. Wisam Bukaita, ice coverage in the Arctic is modeled over time. We present their abstract here and include the paper itself.ABSTRACT The Arctic plays a...

Ice Coverage in the Arctic Climate over time
17 Aug 2019  Articles and Publications
In this paper, entitled Ice Coverage in the Arctic Climate, from two students, Angie Dimopulos and Kelcey Heaney, and their professor, Dr. Wisam Bukaita, ice coverage in the Arctic is modeled over time. We present their abstract here and include the paper itself.ABSTRACT The Arctic plays a...

3150SItsABlastFurnace
13 Aug 2019  Modeling Scenarios
This project uses the steadystate heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steadystate, so that only an elementary ordinary differential equation (ODE) is needed, and...

3150SItsABlastFurnace
13 Aug 2019  Modeling Scenarios
This project uses the steadystate heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steadystate, so that only an elementary ordinary differential equation (ODE) is needed, and...

1001dSHotelPopulationDecay
03 Jul 2019  Modeling Scenarios
We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

2008LiDE Models For Interacting and Transgenic Mosquito Populations
21 Jun 2019  Potential Scenario Ideas
Article Review and AnnotationLi, Jai. 2008. Differential equations models for interacting wild and transgenic mosquito populations. Journal of Biological Dynamics. 2(3): 241258.Abstract: We formulate and study continuoustime models, based on systems of ordinary differential...

Exploring differential equation of HIV infection
21 Jun 2019  Presentations
Exploring differential equation models of the HIV infectionPresentation by Rebecca L. Goulson Department of Mathematics Pacific Lutheran University Tacoma, WA, May, 2015. 67 SlidesModels presented and data analyzed to determine parameters.

Exploring differential equation of HIV infection
21 Jun 2019  Presentations
Exploring differential equation models of the HIV infectionPresentation by Rebecca L. Goulson Department of Mathematics Pacific Lutheran University Tacoma, WA, May, 2015. 67 SlidesModels presented and data analyzed to determine parameters.

1001cSPopulationDecayThenSome
18 Jun 2019  Modeling Scenarios
This is an adaption of Modeling Scenario 1001SMandMDeathAndImmigration in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.