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
(202)
Modeling Scenario
(143)
Technique Narrative
(5)
Potential Scenario
(37)
Article or Presentation
(11)
Free Online Textbook
(5)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(281)
ODE
(269)
PDE
(11)
Difference
(21)
Delay
(7)
Integral
(1)
First
(121)
Second
(94)
Higher
(6)
Linear
(202)
Nonlinear
(55)
System
(106)
Constant Coeff
(68)
Homogeneous
(61)
Nonhomogeneous
(62)
Other
(2)
Technique
(202)
Boundary Value Problems
(18)
Eigen Methods
(11)
Exact Equations
(1)
Fourier Series
(0)
Initial Value Problems
(153)
Integrating Factor
(16)
Laplace Transform
(10)
Linear Algebra
(9)
Matrices
(8)
Numerical Methods
(24)
Parameter Estimation
(83)
Qualitative Behavior
(17)
Separable
(19)
Separation of Variables
(38)
Series
(0)
Substitution Methods
(4)
Theory (general)
(2)
Undetermined Coefficients
(1)
Variation of Parameters
(2)
Other
(7)
Qualitative Analysis
(202)
Equilibrium
(18)
Stability
(10)
Attractor
(0)
Phase Plane
(9)
Graphical analysis
(87)
Eigenvalue analysis
(8)
Parameters
(128)
Other
(35)
Application Area
(202)
Chemistry
(26)
Economics
(10)
Engineering
(47)
Humanities
(3)
Life Sciences
(61)
Mathematics
(57)
Modeling (general)
(159)
Physics
(86)
Social Sciences
(14)
Other
(1)
Course
(202)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(72)
Calculus 3 (multivariable)
(1)
Differential Equations
(198)
Modeling
(186)
Other
(3)
Course Level
(202)
Introductory
(196)
Upper Level
(183)
Graduate
(2)
High School
(144)
Other
(2)
Lesson Length
(202)
Portion of one class period
(86)
One class period
(56)
Multiple class periods
(16)
One term (semester or quarter)
(3)
One year
(1)
Other
(51)
Technology
(202)
Derive
(0)
Excel
(23)
GeoGebra
(1)
Maple
(9)
Mathematica
(78)
MathCad
(0)
MatLab
(17)
Octave
(2)
Python
(2)
R
(0)
SAGE
(2)
Desmos
(1)
Calculator
(1)
None
(23)
Other
(77)
Approach
(202)
Directed
(11)
Flipped
(0)
Guided
(138)
Open-ended
(4)
Discussion
(0)
Develop model
(3)
Other
(51)
Skills
(202)
Data collection
(43)
Data analysis
(101)
Programming
(3)
Statistics
(6)
Other
(95)
Key Scientific Process Skills
(146)
Reading research papers
(0)
Reviewing prior research
(9)
Asking a question
(139)
Formulating hypotheses
(125)
Designing/conducting experiments
(26)
Predicting outcomes
(46)
Gathering data/making observations
(35)
Analyzing data
(60)
Interpreting results/data
(72)
Displaying/modeling results/data
(63)
Communicating results
(53)
Translating into mathematics
(3)
Assessment Type
(148)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(1)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(133)
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)
(2)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(3)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(130)
Written assignment: Literature review
(1)
Pedagogical Approaches
(128)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(5)
Clicker Question
(0)
Collaborative Work
(0)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(7)
Physical Model
(4)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(118)
Vision and Change Core Competencies - Ability
(144)
Create and develop models
(138)
Use quantitative reasoning
(129)
Design simulations
(30)
Tap into interdisciplinary study
(19)
Communicate and collaborate with mathematics community
(5)
Communicate and collaborate with other disciplines
(11)
Understand the relationship between material and society
(2)
Principles of How People Learn
(147)
Motivates student to learn material
(143)
Focuses student on the material to be learned
(136)
Develops supportive community of learners
(5)
Leverages differences among learners
(1)
Reveals prior knowledge
(7)
Requires student to do the bulk of the work
(3)
Bloom's Cognitive Level
(134)
Foundational: factual knowledge & comprehension
(12)
Application & Analysis
(128)
Synthesis/Evaluation/Creation
(5)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
122
views
40
downloads
0
comments
2017-Ben_Finio-Science Buddies – Linear & Nonlinear Springs Tutorial
This tutorial provides a basic summary of linear and nonlinear springs and their associated equations for force, stiffness, and potential energy.
spring mass
stiffness
springs
potential energy
force
nonlinear spring
linear spring
Potential Scenario
137
views
70
downloads
0
comments
2016-Roberto_Camporesi-A fresh look at linear ordinary differential equations with constant coefficients
We present an approach to the impulsive response method for solving linear constant-coefficient ordinary differential equations of any order based on the factorization of the differential operator.
impulse
Green functions
instructional exposition
Technique Narrative
451
views
202
downloads
0
comments
5-030-LinNonHomoSystemSol-TechniqueNarrative
We offer strategies for solving linear systems of nonhomogeneous differential equations using a conjectured solution strategy for a system of constant coefficient, linear, n
strategies
discovery learning
eigenvectors
eigenvalue
Free Online Textbook
180
views
58
downloads
0
comments
2016-Simon_Malham-Differential_Equations_and_Linear_Algebra
This is a nice set of notes on which a course can be based. There is ample material on first and second order, linear systems, and Laplace Transform methods for setting up and solving differential equations.
textbook
linear algebra
Laplace transform
Article or Presentation
5847
views
737
downloads
0
comments
2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling
This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students should be familiar with using eigenvalues.
module
linear systems
digoxin
Teaching Module
Potential Scenario
191
views
59
downloads
0
comments
2013-Antonin_Slavik-Mixing Problems with Many Tanks
Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix representation of the linear mixing model of differential equations.
linear
tank
mixing
circular
cascading
Technique Narrative
476
views
155
downloads
0
comments
5-012-LinearSystemConjecture-TechniqueNarrative
Students go from the solution for y'(t) = k*y(t) to a natural extension to the solution conjecture of a system of two constant coefficient, homogeneous, linear differential equations introducing eigenvalues and eigenvectors through student...
discovery learning
conjecture
solution
substitution
Modeling Scenario
286
views
173
downloads
0
comments
5-010-DNADegradation-ModelingScenario
We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process.
DNA\kinetis
plasma
rat
pharmacokinetis
Modeling Scenario
293
views
256
downloads
0
comments
1-098-NeuronDetection-ModelingScenario
Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in mathematical neuroscience as ``integrate-and-fire''...
biology
neuroscience
neuron physiology
voltage
integrate and fire
threfhols
coincidence detection
RC circuit
Potential Scenario
195
views
69
downloads
0
comments
2017-GR_Gustafson-Differential Equations Course Materials
There are many applications from compartment and cascade analysis, recycling brine tank, home heating with multiple rooms, chemostat, microbes, heartbeats, lidocaine, nutrient flow in an aquarium, biomass transfer, pesticides, forecasting prices,...
chemostat
microbes
biomass
forecasting
transfer
compartment
pesticides
earthquake
tank
heating
lidocaine
brine
heartbeats
nutrient flow
aquarium
electric networks
circuits
logging
building
cascade
Potential Scenario
136
views
79
downloads
0
comments
2003-Fay-Graham-Coupled spring equations
Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described.
mass
oscillation
spring\
coupled springs
periodic
fporcing
Potential Scenario
247
views
89
downloads
0
comments
2018-David_Bourne-Pharmacokinetics – Source Material
This is a rich source of pharmacokinetics modeling activities and data. These are syllabus notes with homework assignments listed.
bolus
pharmacokinetics
pharmacodynamic
drug distribution
Potential Scenario
183
views
42
downloads
0
comments
1994-Roland_Minton-A Progression of Projectiles-Examples from Sports
There is a progression of complexity and issues in projectile motion modeling from no resistance, to resistance proportional to velocity, then to velocity squared,
sports
resistance
projectile
baseball
drag
linear resistance
quadratic resistance
tennis
Article or Presentation
197
views
76
downloads
0
comments
1994-Brian_Winkel-Ant_Tunnels_and_Calculus
A simple mathematical model describing the time it takes for an ant to construct a linear tunnel of length x is produced from five intuitively acceptable assumptions.
differential equations
difference equation
first order
derivative definition
ant tunnel
Modeling Scenario
200
views
171
downloads
0
comments
1-109-EmployeeAttrition-ModelingScenario
This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations.
population
linear growth
decay
employee
attrition
Potential Scenario
156
views
70
downloads
0
comments
2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear systems.
compartment
heating
house
Technique Narrative
365
views
192
downloads
0
comments
1-030-RandomPerturbation-TechniqueNarrative
After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.
random perturbation
Brownian motion
Langevin equation
Riemann-Steiltjes integral
Wiener process
Ito's calculus
Modeling Scenario
303
views
271
downloads
0
comments
1-110-TidePoolSnails-ModelingScenario
Students use linear differential equations to model temperature change, in a sand tide pool and inside the shell of a snail in the tide pool. We offer data on temperature in a tide pool as the sun heats the water. Students model the tide pool's...
data
snails
temperature
Newton's Law of Cooling
cooling
Newton
warming
tital pool
tide pool
Modeling Scenario
314
views
150
downloads
0
comments
1-111-SpreadOfInformation-ModelingScenario
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model culminating with a separable linear first order differential...
data
logistic
racism
prejudice
misinformation
memes
spread
disinformation
information
lies
Google Trends
coins
pennies
Modeling Scenario
222
views
210
downloads
0
comments
5-077-MandMAttritionWarfare-ModelingScenario
Students model attrition between two opposing forces using M&M candies and discover a system of linear differential equations of order one, often called the Lanchester equations.
attrition
Lanchester model
predator-predator
N-square Law
Results 1 - 20 of 202
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End