Skip to Main Content
Powered by
QUBES
Login
close
SCUDEM
EXPO
SIMIODE EXPO 2024
SIMIODE EXPO 2023
SIMIODE EXPO 2022
SIMIODE EXPO 2021
Textbook
Redeem Access or Download Code
Third Party Sales
Browse
Starter Kit
Authors
About
Newsletter
Members
219
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(32)
Modeling Scenario
(18)
Technique Narrative
(0)
Potential Scenario
(10)
Article or Presentation
(2)
Free Online Textbook
(2)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(32)
ODE
(30)
PDE
(1)
Difference
(5)
Delay
(0)
Integral
(0)
First
(12)
Second
(6)
Higher
(1)
Linear
(11)
Nonlinear
(10)
System
(17)
Constant Coeff
(2)
Homogeneous
(6)
Nonhomogeneous
(3)
Other
(0)
Technique
(32)
Boundary Value Problems
(1)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(27)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(4)
Parameter Estimation
(12)
Qualitative Behavior
(1)
Separable
(3)
Separation of Variables
(4)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(4)
Qualitative Analysis
(32)
Equilibrium
(3)
Stability
(4)
Attractor
(0)
Phase Plane
(1)
Graphical analysis
(9)
Eigenvalue analysis
(0)
Parameters
(19)
Other
(6)
Application Area
(32)
Chemistry
(2)
Economics
(4)
Engineering
(4)
Humanities
(0)
Life Sciences
(13)
Mathematics
(13)
Modeling (general)
(21)
Physics
(7)
Social Sciences
(1)
Other
(0)
Course
(32)
Precalculus
(1)
Calculus 1
(2)
Calculus 2
(9)
Calculus 3 (multivariable)
(2)
Differential Equations
(32)
Modeling
(29)
Other
(0)
Course Level
(32)
Introductory
(32)
Upper Level
(29)
Graduate
(0)
High School
(16)
Other
(0)
Lesson Length
(32)
Portion of one class period
(11)
One class period
(6)
Multiple class periods
(2)
One term (semester or quarter)
(1)
One year
(0)
Other
(12)
Technology
(32)
Derive
(0)
Excel
(2)
GeoGebra
(0)
Maple
(0)
Mathematica
(12)
MathCad
(0)
MatLab
(0)
Octave
(0)
Python
(1)
R
(1)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(2)
Other
(15)
Approach
(32)
Directed
(2)
Flipped
(0)
Guided
(17)
Open-ended
(1)
Discussion
(0)
Develop model
(1)
Other
(13)
Skills
(32)
Data collection
(4)
Data analysis
(19)
Programming
(0)
Statistics
(1)
Other
(12)
Key Scientific Process Skills
(18)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(17)
Formulating hypotheses
(16)
Designing/conducting experiments
(3)
Predicting outcomes
(6)
Gathering data/making observations
(5)
Analyzing data
(7)
Interpreting results/data
(6)
Displaying/modeling results/data
(8)
Communicating results
(5)
Translating into mathematics
(1)
Assessment Type
(18)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(0)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(18)
Answer clicker-type question(s)
(0)
Answer essay question(s)
(0)
Answer fill in the blank question(s)
(0)
Answer multiple choice question(s)
(0)
Answer short answer question(s)
(0)
Answer true/false question(s)
(0)
Create a concept map
(0)
Create a diagram, drawing, figure, etc.
(0)
Create a website
(0)
Create graph, table etc. to present data
(0)
Design an experiment or research study
(0)
Design/present a poster
(0)
Give an oral presentation
(0)
Informal in-class report
(0)
Interpret data
(0)
Order items (e.g. strip sequence)
(0)
Participate in discussion
(0)
Peer evaluation
(0)
Post-test
(0)
Pre-test
(0)
Produce a video or video response
(0)
Respond to metacognition/reflection prompt
(0)
Self evaluation
(0)
Solve problem(s)
(0)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(0)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(18)
Written assignment: Literature review
(0)
Pedagogical Approaches
(18)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(2)
Clicker Question
(0)
Collaborative Work
(1)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(1)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(16)
Vision and Change Core Competencies - Ability
(18)
Create and develop models
(18)
Use quantitative reasoning
(18)
Design simulations
(1)
Tap into interdisciplinary study
(1)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(0)
Understand the relationship between material and society
(0)
Principles of How People Learn
(18)
Motivates student to learn material
(18)
Focuses student on the material to be learned
(18)
Develops supportive community of learners
(1)
Leverages differences among learners
(1)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(15)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(15)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
236
views
163
downloads
0
comments
3-031-SpringCost-ModelingScenario
We assume students are familiar with overdamping and underdamping of a spring-mass-dashpot system. Students will apply this knowledge to model the interplay between spring constant, tolerance, and cost.
design
unit cost
spring constant
static equilibrium
spring masss dashpot
Article or Presentation
836
views
377
downloads
0
comments
2020-TeachingModule-SpringDesignToMeetSpecsAtMinimumCosts
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.
module
optimization
spring mass
mass
spring\
cost
Teaching Module
minimal cost
Potential Scenario
154
views
70
downloads
0
comments
2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).
SIR models
vaccine
population
water treatment
susceptible
education campaign
minimizing cost
infected
Modeling Scenario
522
views
272
downloads
0
comments
1-050-BargingAhead-ModelingScenario
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.
optimization
kinetics
energy
trophic efficiency
work
river
terminal velocity
friction
current
force
barge
worlk
speed
Potential Scenario
222
views
53
downloads
0
comments
2009-Schaffer-Bronnikova-Controlling malaria
The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.
epidemiology
malaria
bifurcation
mosquito
transgenic mosquitoes
Potential Scenario
160
views
65
downloads
0
comments
2011-W_Wood-Squigonometry
The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = (t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which satisfy trig like identities.
Trigonometric Functions
circle
squigonometry
inverse function
trigonmetry
Potential Scenario
147
views
31
downloads
0
comments
2011-W_Wood-Squigonometry
The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = x(t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which satisfy trig like identities.
Trigonometry
Trigonometric Functions
parametric equations
circle
sine
cosine
squigonometry
inverse function
Modeling Scenario
250
views
209
downloads
0
comments
1-066-USCensusModeling-ModelingScenario
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.
data
logistic
population
Gompertz
census
goodness of fit
Potential Scenario
142
views
42
downloads
0
comments
2014-Yahdi-EtAl-Modeling and Sensitivity Analysis of the Role of Biodiversity to Control Pest Damage in Agroecosystems
The paper provides a mathematical framework for cost-effective and environmentally safe strategies to minimize alfalfa damage from pests in alfalfa agroecosystems with optimal biodiversity levels.
sensitivity analysis
predator
steady state
alfalfa
Shannon diversity index
plant herbivore
Modeling Scenario
245
views
183
downloads
0
comments
1-057-FiguringFluidFlow-ModelingScenario
We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.
discharge
tank
Torricelli's Law
Conservation of Energy
fluid flow
height
liquid
Potential Scenario
242
views
36
downloads
0
comments
2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery
This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.
predator-prey
harvesting
Pontryagin’s maximum principle
bioeconomic
bionomic equilibrium
biotechnical productivity
catch-rate function
optimal equilibrium
Modeling Scenario
790
views
624
downloads
0
comments
6-015-CombatingEbolaEpidemic-ModelingScenario
This project offers students a chance to make a policy recommendation based on analysis of a nonlinear system of differential equations (disease model). The scenario is taken from the fall of 2014 when the Ebola outbreak in West Africa.
disease
Ebola
Analysis
Policy
decision
Potential Scenario
121
views
48
downloads
0
comments
2010-Shianga-EtAl-Computational model of the human glucose-insulin regulatory system
A computational model of insulin secretion and glucose metabolism for assisting the diagnosis of diabetes mellitus in clinical research is introduced. The
glucose tolerance test
sum of squared residuals
multiple shooting method
cost function
Modeling Scenario
302
views
206
downloads
0
comments
1-003-CollegeSavings-ModelingScenario
We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.
college
savings
interest rate
college cost
sensitiviyty
Modeling Scenario
396
views
480
downloads
0
comments
1-047a-CondensationOptimization-ModelingScenario
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 walls and condenses on the bottom wall.
simulation
data
optimization
energy
condensation
best fit
cost
sum of scquare errors
Potential Scenario
110
views
43
downloads
0
comments
1981-Geoffrey_Berresford-Differential Equations and Root Cellars
This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass and equating them at equilibrium.
temperature
thermal conductivity
heat flow
thermal diffusivity
root cellar
Modeling Scenario
984
views
2099
downloads
0
comments
3-030-SecondOrderIntro-ModelingScenario
We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and modeling activities.
parameter estimation
non-homogeneous
Spanish
frequency
buoyancy
inverse problem
thrust
underdamped
first passage
spring mash dashpot
real
complex
homogeneous
superposition
parachute
overdamped
critically damped
buoy
quadratic equation
roots
rocket flight
Modeling Scenario
301
views
109
downloads
0
comments
1-131-CaffeineElimination-ModelingScenario
We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
caffeine
elimination
pharmacokinetics
drug
Article or Presentation
237
views
59
downloads
0
comments
2011-Brian_Winkel-Cross_coursing_in_mathematics-physical_modeling_in_differential_equations_crossing_to_discrete_dynamical_systems
We give an example of cross coursing in which a subject or approach in one course in undergraduate mathematics is used in a completely different course.
differential equations
mathematical model
difference equation
cross course
convert
Modeling Scenario
208
views
382
downloads
0
comments
3-050-CometOrbitalMechanics-ModelingScenario
The broad goal of this activity is to use a basic numerical method to approximate the solution of an initial value problem. In this particular case, we will use Euler's method to help model the trajectory of a comet as it orbits the sun.
trajectory
Space
Euler's method
orbital mechanics
comet
orbit
Results 1 - 20 of 32
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End