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
197
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(20)
Modeling Scenario
(6)
Technique Narrative
(0)
Potential Scenario
(13)
Article or Presentation
(0)
Free Online Textbook
(1)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(20)
ODE
(19)
PDE
(1)
Difference
(0)
Delay
(0)
Integral
(0)
First
(4)
Second
(3)
Higher
(0)
Linear
(4)
Nonlinear
(6)
System
(12)
Constant Coeff
(1)
Homogeneous
(0)
Nonhomogeneous
(1)
Other
(0)
Technique
(20)
Boundary Value Problems
(3)
Eigen Methods
(1)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(16)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(5)
Parameter Estimation
(9)
Qualitative Behavior
(5)
Separable
(1)
Separation of Variables
(0)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(0)
Qualitative Analysis
(20)
Equilibrium
(3)
Stability
(1)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(4)
Eigenvalue analysis
(1)
Parameters
(14)
Other
(3)
Application Area
(20)
Chemistry
(2)
Economics
(4)
Engineering
(0)
Humanities
(0)
Life Sciences
(9)
Mathematics
(14)
Modeling (general)
(14)
Physics
(4)
Social Sciences
(2)
Other
(0)
Course
(20)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(2)
Calculus 3 (multivariable)
(0)
Differential Equations
(20)
Modeling
(19)
Other
(0)
Course Level
(20)
Introductory
(18)
Upper Level
(18)
Graduate
(0)
High School
(6)
Other
(1)
Lesson Length
(20)
Portion of one class period
(3)
One class period
(3)
Multiple class periods
(0)
One term (semester or quarter)
(0)
One year
(0)
Other
(14)
Technology
(20)
Derive
(0)
Excel
(0)
GeoGebra
(1)
Maple
(2)
Mathematica
(2)
MathCad
(0)
MatLab
(2)
Octave
(1)
Python
(1)
R
(1)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(2)
Other
(14)
Approach
(20)
Directed
(1)
Flipped
(0)
Guided
(6)
Open-ended
(1)
Discussion
(1)
Develop model
(0)
Other
(14)
Skills
(20)
Data collection
(1)
Data analysis
(8)
Programming
(0)
Statistics
(1)
Other
(13)
Key Scientific Process Skills
(6)
Reading research papers
(0)
Reviewing prior research
(0)
Asking a question
(6)
Formulating hypotheses
(5)
Designing/conducting experiments
(1)
Predicting outcomes
(2)
Gathering data/making observations
(1)
Analyzing data
(3)
Interpreting results/data
(2)
Displaying/modeling results/data
(1)
Communicating results
(1)
Translating into mathematics
(0)
Assessment Type
(6)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(1)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(6)
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
(6)
Written assignment: Literature review
(0)
Pedagogical Approaches
(6)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(2)
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
(4)
Vision and Change Core Competencies - Ability
(6)
Create and develop models
(6)
Use quantitative reasoning
(3)
Design simulations
(1)
Tap into interdisciplinary study
(3)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(1)
Understand the relationship between material and society
(0)
Principles of How People Learn
(6)
Motivates student to learn material
(6)
Focuses student on the material to be learned
(6)
Develops supportive community of learners
(0)
Leverages differences among learners
(1)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(6)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(6)
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
174
views
54
downloads
0
comments
2006-TK_Kar-Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge
This paper deals with a prey–predator model incorporating a prey refuge and harvesting of the predator species.
survival
predator-prey
harvest
refuge
Pontryagin’s maximal principle
hiding
optimal harvest
Potential Scenario
234
views
35
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
Potential Scenario
178
views
26
downloads
0
comments
2014-John_Cain-Chemical Reaction Kinetics Mathematical Underpinnings
The usual way of deriving kinetic equations involves application of the principle of conservation of mass in conjunction with the law of mass action. Here, examples of kinetic models for several basic processes are discussed.
kinetics
biochemical reaction
reactants
products
Free Online Textbook
126
views
65
downloads
0
comments
2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations
Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a fusion of mathematics and computation.
Galerkin
Potential Scenario
145
views
73
downloads
0
comments
2009-Su-EtAl-Fitting Compartmental Models to Multiple Dose Pharmacokinetic Data using SAS
In the case of a multiple dose study where subjects experience different dosing times, a superposition principle can be used to recursively account for each additional dose.
SAS
superposition
pharmacokinetics
compartmental models
multiple dose
Potential Scenario
114
views
51
downloads
0
comments
2002-Faia-Differential Equation Modeling as a Source of Theoretical Insight-Four Disparate Examples
We explore differential equations involving alcoholism, social mobility, excess female mortality, and international arms competition.
sociology
arms races
accumulative advantage
alcoholism
Peter Principle
female mortality
population pressure
occupational mobility
social mobility
Richardson theory of war
Modeling Scenario
235
views
159
downloads
0
comments
3-055-FloatingBox-ModelingScenario
In this scenario, we lead students through the process of building a mathematical model for a floating rectangular box that is bobbing up and down.
oscillation
Archimedes’ Principle
buoancy
oscillatory motion
Newton's Second Law
Potential Scenario
179
views
53
downloads
0
comments
2015-Valerie_Billard-Pharmacokinetic-pharmacodynamic relationship of anesthetic drugs - from modeling to clinical use
The purpose of this short review is to describe the basis of pharmacokinetics and modeling, the concentration-effects relationship, and drug interactions modeling to offer to anesthesiologists and non-anesthesiologists an overview of the rules to...
anesthesia
pharmacokinetics
pharmacodynamic
anesthetic
Potential Scenario
113
views
49
downloads
0
comments
1994-Paul_Davis-Asking Good Questions about Differential Equations
A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.
questions
population
numerical
physical context
graphical
algebraic
Ireland
Modeling Scenario
226
views
136
downloads
0
comments
3-027-BobbingDropping-ModelingScenario
We present two exercises in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.
drug resistance
directed
buoyancy
free fall
static equilibrium
displacement
Modeling Scenario
147
views
81
downloads
0
comments
1-036-NeutralBuoyancy-ModelingScenario
An object may hang suspended at, say, ten foot depth in a column of water if at ten feet underwater the density of the object equals the density of water. We study this phenomenon
Density
buoyancy
Archimedes’ Principle
float
neutral buoyance
Modeling Scenario
403
views
212
downloads
0
comments
6-005-InsectColonySurvivalOpt-ModelingScenario
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 of different energy functions.
optimization
Optimal Control Theory
insect colony
optimal control
natural resources
Pointryagin's Maximum Principle
control variable
Potential Scenario
165
views
47
downloads
0
comments
2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.
experimental design
systems biology
Association & Data Fitting
reaction rates
decay rates
Potential Scenario
151
views
43
downloads
0
comments
1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market share within specified limits.
Optimal Control Theory
advertising
sales
Potential Scenario
168
views
42
downloads
0
comments
2018-Nyanginja-Angwenyi-Musyoka-Orwa - Mathematical modeling of the effects of public health education on tungiasis
In this paper, we formulate and study a mathematical model for the dynamics of jigger infestation incorporating public health education using systems of ordinary differential equations and computational simulations.
disease
endemic
reproduction number
tungiasis
jigger infestation
Potential Scenario
272
views
41
downloads
0
comments
2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological processes.
protein quality control
kinetics
Cells
steady state
chemical kinetics
fluouresence
photoactivation
inytracellular
Modeling Scenario
194
views
181
downloads
0
comments
3-069-HeatInBar-ModelingScenario
The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.
heat transfer
experiment
conduction
convection
boundary conditions
finite volume method
Potential Scenario
116
views
31
downloads
0
comments
2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.
Fredholm integral equation of
Leontief’s model
macroeconomic processes
Potential Scenario
141
views
46
downloads
0
comments
2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the contract holder.
finance
disability
life insurance
mortality
insurane
Thiele’s equation
Black-Scholes equation
Modeling Scenario
284
views
172
downloads
0
comments
6-021-AcornsRodentsSnakes-ModelingScenario
Students are given the opportunity to build a three tropic level model in which snakes eat rodents, rodents eat acorns, and acorns grow and occasionally mast.
predation
forest
snakes
rodents
acorns
trophic level
masting
Results 1 - 20 of 20
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End