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
192
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(359)
Modeling Scenario
(124)
Technique Narrative
(10)
Potential Scenario
(192)
Article or Presentation
(20)
Free Online Textbook
(12)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(359)
ODE
(327)
PDE
(31)
Difference
(30)
Delay
(18)
Integral
(4)
First
(154)
Second
(77)
Higher
(3)
Linear
(84)
Nonlinear
(109)
System
(112)
Constant Coeff
(27)
Homogeneous
(36)
Nonhomogeneous
(38)
Other
(7)
Technique
(359)
Boundary Value Problems
(40)
Eigen Methods
(2)
Exact Equations
(0)
Fourier Series
(1)
Initial Value Problems
(271)
Integrating Factor
(8)
Laplace Transform
(7)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(42)
Parameter Estimation
(147)
Qualitative Behavior
(18)
Separable
(24)
Separation of Variables
(34)
Series
(3)
Substitution Methods
(1)
Theory (general)
(2)
Undetermined Coefficients
(2)
Variation of Parameters
(0)
Other
(26)
Qualitative Analysis
(359)
Equilibrium
(30)
Stability
(39)
Attractor
(0)
Phase Plane
(16)
Graphical analysis
(87)
Eigenvalue analysis
(4)
Parameters
(232)
Other
(75)
Application Area
(359)
Chemistry
(25)
Economics
(23)
Engineering
(45)
Humanities
(5)
Life Sciences
(157)
Mathematics
(216)
Modeling (general)
(294)
Physics
(117)
Social Sciences
(40)
Other
(0)
Course
(359)
Precalculus
(3)
Calculus 1
(6)
Calculus 2
(96)
Calculus 3 (multivariable)
(3)
Differential Equations
(350)
Modeling
(333)
Other
(2)
Course Level
(359)
Introductory
(349)
Upper Level
(324)
Graduate
(3)
High School
(165)
Other
(3)
Lesson Length
(359)
Portion of one class period
(58)
One class period
(67)
Multiple class periods
(14)
One term (semester or quarter)
(8)
One year
(0)
Other
(219)
Technology
(359)
Derive
(0)
Excel
(37)
GeoGebra
(1)
Maple
(9)
Mathematica
(68)
MathCad
(0)
MatLab
(22)
Octave
(2)
Python
(2)
R
(3)
SAGE
(2)
Desmos
(2)
Calculator
(0)
None
(21)
Other
(231)
Approach
(359)
Directed
(13)
Flipped
(0)
Guided
(120)
Open-ended
(4)
Discussion
(2)
Develop model
(4)
Other
(223)
Skills
(359)
Data collection
(54)
Data analysis
(161)
Programming
(9)
Statistics
(7)
Other
(190)
Key Scientific Process Skills
(134)
Reading research papers
(1)
Reviewing prior research
(9)
Asking a question
(130)
Formulating hypotheses
(114)
Designing/conducting experiments
(25)
Predicting outcomes
(39)
Gathering data/making observations
(34)
Analyzing data
(57)
Interpreting results/data
(63)
Displaying/modeling results/data
(60)
Communicating results
(44)
Translating into mathematics
(3)
Assessment Type
(134)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(1)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(121)
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
(1)
Informal in-class report
(1)
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
(1)
Written assignment: Brochure
(0)
Written assignment: Essay
(1)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(118)
Written assignment: Literature review
(0)
Pedagogical Approaches
(121)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(7)
Clicker Question
(0)
Collaborative Work
(4)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(5)
Physical Model
(4)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(111)
Vision and Change Core Competencies - Ability
(129)
Create and develop models
(121)
Use quantitative reasoning
(115)
Design simulations
(25)
Tap into interdisciplinary study
(26)
Communicate and collaborate with mathematics community
(5)
Communicate and collaborate with other disciplines
(14)
Understand the relationship between material and society
(0)
Principles of How People Learn
(133)
Motivates student to learn material
(129)
Focuses student on the material to be learned
(124)
Develops supportive community of learners
(1)
Leverages differences among learners
(3)
Reveals prior knowledge
(5)
Requires student to do the bulk of the work
(3)
Bloom's Cognitive Level
(120)
Foundational: factual knowledge & comprehension
(9)
Application & Analysis
(115)
Synthesis/Evaluation/Creation
(1)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
207
views
85
downloads
0
comments
1-067-ModelingWithSigmoidCurves-ModelingScenario
The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape.
logistic
Gompertz
sigmoid
Verhulst-Pearl
Article or Presentation
111
views
41
downloads
0
comments
2001-A_Tsoularis-Analysis_of_logistic_growth_models
The paper presents an historical development of the logistic equation in its various forms, including Verhulst, Pearl and Reed, Gompertz, Bertalanffy, Richards, and others.
logistic
population
growth curve
limited growth
Gompertz
history
logistic equation
Verhulst
Pearl and Reed
Bertalanffy
Richards
Potential Scenario
119
views
43
downloads
0
comments
2001-Tsoularis-Analysis of logistic growth models
variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such models.
logistic
Gompertz
Verhulst
Pearl and Reed
Bertalanffy
Potential Scenario
241
views
40
downloads
0
comments
2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous mathematical terms, to solve (with the aid of computers).
population growth rate
logistic equation
Verhulst equation
generation time
lag time
Potential Scenario
563
views
69
downloads
0
comments
2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics
predator-prey
circuit
reaction
spring mass
pharmacokinetics
cooling
Potential Scenario
190
views
75
downloads
0
comments
2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population
In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.
population dynamics
Logistic model
Malthus Model
Population Prediction Control
Potential Scenario
193
views
40
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
320
views
56
downloads
0
comments
2017-Jun_Liu-Hammer Throwing parameters optimization model research based on flight dynamical differential equation
With progress of times, sports techniques are also rapidly developing, in order to let Chinese hammer throwers more quickly improve themselves levels.
sports
projectile
hammer throw
release angle
Potential Scenario
115
views
48
downloads
0
comments
1981-Nielsen-Rosenfeld-Substantive Interpretations of Differential Equation Models
The use of differential equations models to study social processes has been increasing rapidly. There are, however, ambiguities in the interpretation of the parameters of these models.
sociology
politics
intragenerational mobility
political mobility
Technique Narrative
839
views
110
downloads
0
comments
3-090-ChebyshevPolynomialSolution-TechniqueNarrative
The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.
series soluotion
polynomial solutions
Chebyshev polynomials
Chebyshev differential equations
Technique Narrative
462
views
228
downloads
0
comments
1-002-IntegratingFactor-TechniqueNarrative
We develop a strategy to solve first order differential equations by transforming one side of the equation to the derivative of a product of two functions, thereby making it easy to antidifferentiate that side.
Integrating Factor
Modeling Scenario
369
views
255
downloads
0
comments
1-138-InnerEarDrugDelivery-ModelingScenario
Students examine local drug delivery to the cochlea. The delivery system is modeled as a liquid mixing problem. Students formulate the differential equation, and solve the equation using separation of variables or integrating factor.
concentration
drug delivery
inner ear
cochlea
hearing loss
Potential Scenario
177
views
52
downloads
0
comments
2011-Brian_Winkel-Parameter Estimates in Differential Equation Models for Population Growth
We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and multiple species competition models.
logistic
population
paramecia
Gause
gradient search
Potential Scenario
134
views
76
downloads
0
comments
2016-Mehmet_Pakdemirli-Mathematical design of a highway exit curve
Using fundamental principles of physics and calculus, the differential equation determining the curve function is derived.
kinematics
curve design
highway exit
tangential acceleration
Potential Scenario
118
views
69
downloads
0
comments
2002-Fay-The Pendulum Equation
We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it.
pendulum
Fourier series
Taylor series
numerical solution
Potential Scenario
163
views
54
downloads
0
comments
1988-EY_Rodin-N_Taber-Yeast Growth Modelling in a Laboratory
Modeling simple growth with some missing data and doing linear regression for parameter estimation in closed form solution of differential equation model and data.
regression
yeast
growth
Modeling Scenario
269
views
185
downloads
0
comments
9-012-PDEGuitarTuning-ModelingScenario
We lead students through a derivation of a partial differential equation which models the motion of a string held at both ends, a case of the one-dimensional wave equation, and then play it on Mathematica.
extension
sine waves
frequency
guitar
damping
Fourier
string
tuning
Potential Scenario
236
views
94
downloads
0
comments
2018-Joseph-EtAl-A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
In this paper, we investigated a nonlinear differential equation mathematical model to study the spread of asthma in the environmental pollutants from industry and mainly from tobacco smoke from smokers in different type of population.
asthma
tobacco smoke
Liao’s Homotopy analysis Method (
environmental pollutants
Potential Scenario
183
views
31
downloads
0
comments
2012-Campbell-EtAl-Parameter estimation in differential equation models with constrained states
We introduce a method to estimate parameters and states from a differential equation model while enforcing interpretability constraints such as monotone or non‐negative states.
chemical engineering
smoothing-based relaxation method
Potential Scenario
140
views
52
downloads
0
comments
2009-G_Recktenwald-Tank Draining Exercise
This paper describe deep mathematics, including differential equations concerned with modeling the draining of tank and the shape of the water coming out the bore hole at the bottom of the tank of water.
laboratory
tank
LabView
Bermoulli equation
empty draining
column of liquid
pressure
Results 1 - 20 of 359
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End