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
(80)
Modeling Scenario
(19)
Technique Narrative
(1)
Potential Scenario
(47)
Article or Presentation
(6)
Free Online Textbook
(6)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(80)
ODE
(71)
PDE
(8)
Difference
(3)
Delay
(8)
Integral
(2)
First
(22)
Second
(8)
Higher
(1)
Linear
(13)
Nonlinear
(31)
System
(40)
Constant Coeff
(4)
Homogeneous
(9)
Nonhomogeneous
(7)
Other
(3)
Technique
(80)
Boundary Value Problems
(13)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(58)
Integrating Factor
(2)
Laplace Transform
(0)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(4)
Parameter Estimation
(22)
Qualitative Behavior
(8)
Separable
(3)
Separation of Variables
(3)
Series
(0)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(9)
Qualitative Analysis
(80)
Equilibrium
(15)
Stability
(20)
Attractor
(1)
Phase Plane
(7)
Graphical analysis
(20)
Eigenvalue analysis
(0)
Parameters
(48)
Other
(17)
Application Area
(80)
Chemistry
(4)
Economics
(8)
Engineering
(5)
Humanities
(2)
Life Sciences
(56)
Mathematics
(53)
Modeling (general)
(69)
Physics
(12)
Social Sciences
(12)
Other
(0)
Course
(80)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(14)
Calculus 3 (multivariable)
(0)
Differential Equations
(78)
Modeling
(79)
Other
(1)
Course Level
(80)
Introductory
(77)
Upper Level
(73)
Graduate
(1)
High School
(29)
Other
(0)
Lesson Length
(80)
Portion of one class period
(8)
One class period
(12)
Multiple class periods
(4)
One term (semester or quarter)
(3)
One year
(0)
Other
(57)
Technology
(80)
Derive
(0)
Excel
(2)
GeoGebra
(0)
Maple
(1)
Mathematica
(4)
MathCad
(0)
MatLab
(6)
Octave
(0)
Python
(1)
R
(1)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(10)
Other
(58)
Approach
(80)
Directed
(1)
Flipped
(0)
Guided
(19)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(60)
Skills
(128)
Data collection
(14)
Data analysis
(46)
Programming
(4)
Statistics
(1)
Other
(80)
Key Scientific Process Skills
(20)
Reading research papers
(0)
Reviewing prior research
(2)
Asking a question
(19)
Formulating hypotheses
(18)
Designing/conducting experiments
(0)
Predicting outcomes
(6)
Gathering data/making observations
(0)
Analyzing data
(2)
Interpreting results/data
(3)
Displaying/modeling results/data
(3)
Communicating results
(1)
Translating into mathematics
(0)
Assessment Type
(19)
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
(0)
Clicker Question
(0)
Collaborative Work
(0)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(0)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(18)
Vision and Change Core Competencies - Ability
(20)
Create and develop models
(19)
Use quantitative reasoning
(17)
Design simulations
(4)
Tap into interdisciplinary study
(5)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(4)
Understand the relationship between material and society
(0)
Principles of How People Learn
(19)
Motivates student to learn material
(17)
Focuses student on the material to be learned
(18)
Develops supportive community of learners
(0)
Leverages differences among learners
(0)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(17)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(17)
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
Potential Scenario
812
views
52
downloads
0
comments
2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.
time series
regression
response
impulse
oscillation
signal processing
sparse regression
system identification
Modeling Scenario
255
views
206
downloads
0
comments
3-105-FrequencyResponse-ModelingScenario
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.
transient dynamics
circuit
spring mass
driver
frequency response
amplitude
steady state
Potential Scenario
208
views
42
downloads
0
comments
2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations
This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.
population dynamics
logistic equation
location-dependent carrying capacities
Potential Scenario
167
views
55
downloads
0
comments
2016-Wilkie-EtAl-Using ODEs to Explore Cancer-Immune Dynamics and Tumor Dormancy
Here we present a general method using ordinary differential equations (ODEs) to model and analyze cancer-immune interactions, and in particular, immune-induced tumor dormancy.
cancer
tumor-inhibiting cytotoxic action
tumor-promoting inflammation
immune-induced tumor dormancy
tumor growth dynamics
Potential Scenario
118
views
71
downloads
0
comments
2006-Shigui_Ruan-Delay differential equations in single species dynamics
In this survey, we shall review various delay differential equations models arising from studying single species dynamics.
allee_effect
delayed biological systems
food limit
periodiciity
recruitment model
Regulation of Haematopoiesis
Potential Scenario
191
views
51
downloads
0
comments
2016-Banks-EtAl-Modeling Bumble Bee Population Dynamics with Delay Differential Equations
To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes multi-colony bumble bee population dynamics.
population model
Reproduction
spline approximations
Bombus terrestris
neonicotinoids
bumble bee
Potential Scenario
170
views
71
downloads
0
comments
2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in classical mechanics.
population dynamics
ecology
dynamics
classical mechanics
chemical reaction
Potential Scenario
124
views
37
downloads
0
comments
2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.
delay
epilepsy dynamics
epilepsy
bistability
seizure activity
Free Online Textbook
154
views
53
downloads
0
comments
2014-Andre_De Ross-Modeling Population Dynamics
This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.
predator-prey
competition
population
growth
bifrucation
text
Potential Scenario
104
views
38
downloads
0
comments
2011-Therese-Keane-Combat modelling with partial differential equations
We present work seeking to more realistically represent troop dynamics and to enable a deeper understanding of the nature of conflict.
Lanchester model
troop dynamics
swarming behavior
troop regrouping
losses
non-local terms
local terms
Modeling Scenario
245
views
211
downloads
0
comments
1-135-FishHarvesting-ModelingScenario
This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this case the rate of harvesting fish.
population dynamics
fish
stability
bifurcation
harvest
Modeling Scenario
428
views
96
downloads
0
comments
6-017-OncolyticViruses-ModelingScenario
Students explore oncolytic virotherapy using systems of differential equations and numerical simulations.
cancer
cancer-immune dynamics
immune suppressor drug
oncolytic virus
virotherapy
Potential Scenario
139
views
49
downloads
0
comments
2006-Loyd-Wodarz-Drug Resistance in Acute Viral Infections-Rhinovirus as a Case Study
We develop an epidemiological model that can be used to address the spread of resistance at the population level, and a virus dynamics model that can be used to study the dynamics of virus over the time course of an individual’s infection.
stability
resistance
virus
drug
epidemic competition
immune response
rhinovirus
Potential Scenario
108
views
59
downloads
0
comments
2015-Peter_Cumber-Waggling pendulums and visualization in mechanics
This article describes an equation of motion for a waggling pendulum.
resonance
inverted pendulum
mechanics
damped pendulum
Potential Scenario
185
views
60
downloads
0
comments
2013-Gonzalez_Parra-Arenas-Mathematical Model for Social Security Systems with Dynamical Systems
In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the dynamics of retiree populations.
dynamical systems
retirement model
Social Security
Potential Scenario
145
views
44
downloads
0
comments
2006-Ousmane_Mousa_Tessa-Mathematical model for control of measles by vaccination
In this article, we use a compartmental mathematical model of the dynamics of measles spread within a population with variable size to provide this framework.
vaccination
compartment
herd immunity
measles
optimal strategy
Potential Scenario
152
views
51
downloads
0
comments
2018-Winkle-Igoshin-Bennett-Josic-Ott-Modeling_Mechanical_Interactions_in_Growing_Populations_of_Rod-Shaped_Bacteria
Here, we present an agent-based model that allows growing cells to detect and respond to mechanical interactions.
bacteria
agent-based
populationb
rod-shaped
cellular growth
Potential Scenario
204
views
67
downloads
0
comments
2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.
population dynamics
logistic
Inquiry-based modeling
IBL
Potential Scenario
236
views
82
downloads
0
comments
2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.
microbiology
Lotka Volterrra
microbiota
Article or Presentation
218
views
65
downloads
0
comments
2009-Brian_Winkel-Population_modelling_with_MandMs
Several activities in which population dynamics can be modeled by tossing M&M’s® candy are presented.
simulation
parameter estimation
immigration
death
difference equation
Results 1 - 20 of 80
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
Next
End