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
160
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(169)
Modeling Scenario
(106)
Technique Narrative
(4)
Potential Scenario
(43)
Article or Presentation
(8)
Free Online Textbook
(7)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(169)
ODE
(156)
PDE
(10)
Difference
(11)
Delay
(5)
Integral
(2)
First
(77)
Second
(46)
Higher
(2)
Linear
(77)
Nonlinear
(59)
System
(51)
Constant Coeff
(43)
Homogeneous
(92)
Nonhomogeneous
(22)
Other
(2)
Technique
(169)
Boundary Value Problems
(12)
Eigen Methods
(5)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(138)
Integrating Factor
(2)
Laplace Transform
(2)
Linear Algebra
(5)
Matrices
(3)
Numerical Methods
(22)
Parameter Estimation
(67)
Qualitative Behavior
(13)
Separable
(20)
Separation of Variables
(31)
Series
(1)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(1)
Other
(9)
Qualitative Analysis
(169)
Equilibrium
(21)
Stability
(16)
Attractor
(0)
Phase Plane
(10)
Graphical analysis
(55)
Eigenvalue analysis
(6)
Parameters
(108)
Other
(30)
Application Area
(169)
Chemistry
(12)
Economics
(6)
Engineering
(24)
Humanities
(2)
Life Sciences
(68)
Mathematics
(57)
Modeling (general)
(128)
Physics
(61)
Social Sciences
(17)
Other
(0)
Course
(169)
Precalculus
(0)
Calculus 1
(3)
Calculus 2
(54)
Calculus 3 (multivariable)
(0)
Differential Equations
(167)
Modeling
(157)
Other
(1)
Course Level
(169)
Introductory
(166)
Upper Level
(156)
Graduate
(4)
High School
(110)
Other
(0)
Lesson Length
(169)
Portion of one class period
(57)
One class period
(50)
Multiple class periods
(11)
One term (semester or quarter)
(4)
One year
(0)
Other
(55)
Technology
(169)
Derive
(0)
Excel
(18)
GeoGebra
(2)
Maple
(5)
Mathematica
(53)
MathCad
(0)
MatLab
(15)
Octave
(4)
Python
(4)
R
(2)
SAGE
(2)
Desmos
(2)
Calculator
(0)
None
(22)
Other
(75)
Approach
(169)
Directed
(4)
Flipped
(0)
Guided
(108)
Open-ended
(6)
Discussion
(1)
Develop model
(0)
Other
(55)
Skills
(169)
Data collection
(32)
Data analysis
(82)
Programming
(6)
Statistics
(5)
Other
(86)
Key Scientific Process Skills
(112)
Reading research papers
(1)
Reviewing prior research
(1)
Asking a question
(109)
Formulating hypotheses
(100)
Designing/conducting experiments
(22)
Predicting outcomes
(37)
Gathering data/making observations
(28)
Analyzing data
(48)
Interpreting results/data
(50)
Displaying/modeling results/data
(48)
Communicating results
(43)
Translating into mathematics
(1)
Assessment Type
(110)
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
(98)
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)
(1)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(2)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(96)
Written assignment: Literature review
(1)
Pedagogical Approaches
(99)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(1)
Clicker Question
(0)
Collaborative Work
(1)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(2)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(95)
Vision and Change Core Competencies - Ability
(109)
Create and develop models
(104)
Use quantitative reasoning
(102)
Design simulations
(23)
Tap into interdisciplinary study
(9)
Communicate and collaborate with mathematics community
(3)
Communicate and collaborate with other disciplines
(6)
Understand the relationship between material and society
(1)
Principles of How People Learn
(110)
Motivates student to learn material
(107)
Focuses student on the material to be learned
(102)
Develops supportive community of learners
(6)
Leverages differences among learners
(3)
Reveals prior knowledge
(3)
Requires student to do the bulk of the work
(2)
Bloom's Cognitive Level
(96)
Foundational: factual knowledge & comprehension
(12)
Application & Analysis
(93)
Synthesis/Evaluation/Creation
(3)
Includes clear efforts on Issues
(2)
Diversity
(1)
Equity
(2)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
897
views
2032
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
388
views
225
downloads
0
comments
3-092-WirelessPower-ModelingScenario
We present an engineering application (wireless power transmission) modelled by a coupled system of two linear second-order differential equations with constant coefficients. One equation is homogeneous while the other one is non-homogeneous.
DESMOS
wireless power transmission
electric circuits
Kirchhoff's Voltage Law
Technique Narrative
835
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
Modeling Scenario
366
views
230
downloads
0
comments
1-024-MalariaControl-ModelingScenario
This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.
population dynamics
malaria
Policy
Decision-making
Euler's method
pharmacokinetics
mosquito
improved Euler's method
Huen's method
US Army
Modeling Scenario
336
views
179
downloads
0
comments
1-005C-OilSlick-ModelingScenario
We describe a modeling activity for Calculus I students in which modeling with difference and differential equations is appropriate.
Problem Solving
oil slick
spread
fitting
line
assumptions
Modeling Scenario
1129
views
3572
downloads
0
comments
1-005-OilSlick-ModelingScenario
We describe a modeling activity with difference and differential equations which enlightens students on the model building process and parameter estimation for a linear, first-order, non-homogeneous, ordinary differential equation.
model fitting
spreadsheets
Spanish
derrame de petróleo
datos
expansión
oil slick
Modeling Scenario
220
views
238
downloads
0
comments
1-081-TumorGrowth-ModelingScenario
Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth.
logistic
population
tumor
Gompertz
Modeling Scenario
250
views
234
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
178
views
181
downloads
0
comments
4-036-AltitudeDependentGravity-ModelingScenario
When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order differential equation.
a
gravity
projectile
linearization
ltitufe
altitude
Modeling Scenario
431
views
185
downloads
0
comments
5-012-LipoproteinModeling-ModelingScenario
Data from a study on the amounts of low-density-lipoprotein (LDL), form of cholesterol, in blood plasma is presented. Students build, validate, and use a compartment model of the kinetic exchange of the LDL between body tissue and blood plasma.
wildlife
low-density-lipoprotein
tracer
compartment model
cholesterol
blood plasma
body tissue
Modeling Scenario
165
views
342
downloads
0
comments
4-055-ShatterWineGlass-ModelingScenario
This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important?
frequency
damping
amplitude
resonance
oscillation
shattering
wine glass
bridges
aircraft
external force
Free Online Textbook
186
views
40
downloads
0
comments
2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
We let the author's Table of Contents speak for itself.
differential equations
modeling
textbook
Modeling Scenario
231
views
104
downloads
0
comments
1-084-GoingViral-ModelingScenario
Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.
simulation
logistic
random
fitting
partial fractions
Modeling Scenario
174
views
181
downloads
0
comments
3-064-GearTrain-ModelingScenario
Students model an input-output mechanical system of gears with a second order, non-homogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and moments of inertia of the gear train components.
friction
gear
spur gear
gear train
torque
gear ratio
angular acceleration
angular velocity
moment of inertia
double reduction gear
Modeling Scenario
426
views
146
downloads
0
comments
1-046-GoingViral-ModelingScenario
Students participate in a simulation of the spread of a viral disease in the classroom and model the process with a logistic differential equation. The simulation uses random numbers and the entire class participates.
simulation
mathematical model
data
logistic
random number generator
fitting
random process
Free Online Textbook
151
views
44
downloads
0
comments
2012-Vivek_Patel-Chemical Kinetics
The book is designed to help the reader, particularly students, researchers, research scholars, scientists, chemists and industry fraternity of chemistry and allied fields; understand the mechanics and reactions rates.
kinetics
chemistry
reaction
Free Online Textbook
169
views
64
downloads
0
comments
2018-Eduardo-Sontag-Lecture_Notes_on_Mathematical_Systems_Biology
I am often asked if it is OK to use these notes in courses at other universities. The answer is “of course!” though I strongly suggest that a link to my website be provided, so that students can always access the current version.
biology
textbook
systems
dyanmical system
Article or Presentation
594
views
573
downloads
0
comments
2020-TeachingModule-CarSuspension
The modeling activity on car suspensions assumes that students have grappled with second order linear homogeneous differential equations with constant coefficients.
module
suspension
car suspension
second order
Teaching Module
Technique Narrative
379
views
142
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
Technique Narrative
382
views
173
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
Results 1 - 20 of 169
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End