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
224
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(16)
Modeling Scenario
(14)
Technique Narrative
(2)
Potential Scenario
(0)
Article or Presentation
(0)
Free Online Textbook
(0)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(16)
ODE
(14)
PDE
(0)
Difference
(0)
Delay
(0)
Integral
(0)
First
(5)
Second
(6)
Higher
(0)
Linear
(7)
Nonlinear
(8)
System
(4)
Constant Coeff
(3)
Homogeneous
(5)
Nonhomogeneous
(3)
Other
(1)
Technique
(16)
Boundary Value Problems
(0)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(13)
Integrating Factor
(2)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(4)
Parameter Estimation
(6)
Qualitative Behavior
(1)
Separable
(0)
Separation of Variables
(1)
Series
(0)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(1)
Qualitative Analysis
(16)
Equilibrium
(1)
Stability
(1)
Attractor
(0)
Phase Plane
(1)
Graphical analysis
(6)
Eigenvalue analysis
(0)
Parameters
(11)
Other
(5)
Application Area
(16)
Chemistry
(1)
Economics
(0)
Engineering
(4)
Humanities
(0)
Life Sciences
(6)
Mathematics
(2)
Modeling (general)
(14)
Physics
(7)
Social Sciences
(2)
Other
(0)
Course
(16)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(6)
Calculus 3 (multivariable)
(1)
Differential Equations
(15)
Modeling
(13)
Other
(1)
Course Level
(16)
Introductory
(15)
Upper Level
(16)
Graduate
(1)
High School
(13)
Other
(0)
Lesson Length
(16)
Portion of one class period
(4)
One class period
(9)
Multiple class periods
(3)
One term (semester or quarter)
(0)
One year
(0)
Other
(0)
Technology
(16)
Derive
(0)
Excel
(2)
GeoGebra
(1)
Maple
(2)
Mathematica
(4)
MathCad
(0)
MatLab
(5)
Octave
(1)
Python
(2)
R
(1)
SAGE
(1)
Desmos
(0)
Calculator
(0)
None
(4)
Other
(4)
Approach
(16)
Directed
(1)
Flipped
(0)
Guided
(16)
Open-ended
(2)
Discussion
(1)
Develop model
(0)
Other
(0)
Skills
(16)
Data collection
(3)
Data analysis
(8)
Programming
(1)
Statistics
(1)
Other
(8)
Key Scientific Process Skills
(16)
Reading research papers
(1)
Reviewing prior research
(2)
Asking a question
(16)
Formulating hypotheses
(15)
Designing/conducting experiments
(2)
Predicting outcomes
(3)
Gathering data/making observations
(1)
Analyzing data
(4)
Interpreting results/data
(4)
Displaying/modeling results/data
(3)
Communicating results
(3)
Translating into mathematics
(0)
Assessment Type
(16)
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
(16)
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
(14)
Written assignment: Literature review
(0)
Pedagogical Approaches
(16)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(1)
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
(15)
Vision and Change Core Competencies - Ability
(15)
Create and develop models
(12)
Use quantitative reasoning
(14)
Design simulations
(2)
Tap into interdisciplinary study
(4)
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
(17)
Motivates student to learn material
(17)
Focuses student on the material to be learned
(16)
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
(12)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(11)
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
Technique Narrative
416
views
855
downloads
0
comments
8-002-TrigSumRepresentation-TechniqueNarrative
Students discover how to represent functions as sums of trigonometric functions and the value of such representations in many fields. This is an introduction to the study of Fourier Series.
estimation
Trigonometry
Trigonometric Functions
sum of square errors
finite sum
Fourier series
Fouriere sum
spectrum
approximatiopn
Modeling Scenario
236
views
99
downloads
0
comments
4-065-GasInjection-ModelingScenario
Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest derivative terms or singularities in boundary...
Prandtl-Blasius equations
boundary layer
gas injection
esponential box scheme
uniform convergence
FORTRAN
Technique Narrative
529
views
232
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
453
views
180
downloads
0
comments
1-039-StochasticPopModels-ModelingScenario
We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t.
Probability
population dynamics
Variance
Mean
stochastic
deterministic
Modeling Scenario
253
views
218
downloads
0
comments
1-066-USCensusModeling-ModelingScenario
The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.
data
logistic
population
Gompertz
census
goodness of fit
Modeling Scenario
242
views
101
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
Modeling Scenario
274
views
133
downloads
0
comments
1-143-PopulationModelVariationsMATLAB-ModelingScenario
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models.
population dynamics
ecology
logistic growth
bifurcation theory
slope fields
extinction
harvesting
qualitative analysis
stocking
Modeling Scenario
319
views
191
downloads
0
comments
3-010-EnergyInSpringMassSystem-ModlingScenario
As a way to synthesize the effects of damping and forcing terms, this activity is meant to encourage students to explore how different forcing terms will change the total energy in a mass-spring system.
energy
mass-spring system
kinetic energy
potential energy
total energy
Modeling Scenario
288
views
195
downloads
0
comments
3-130-MatterOfSomeGravity-ModelingScenario
This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.
gravity
inverse problem
acceleration
Modeling Scenario
399
views
153
downloads
0
comments
1-001s-StochasticMDeathImmigration-ModelingScenario
We develop a mathematical model of a death and immigration process using m&ms as a stochastic process with the help of probability generating functions (pgf). We start with 50 m&ms in a bag.
simulation
data
logistic
immigration
stochastic
death
fitting
Modeling Scenario
210
views
239
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
254
views
209
downloads
0
comments
3-071-WirelessTelegraphy-ModelingScenario
This project has three parts, (1) done at home, (2) and (3) in class. In (1) we recall how to solve second order differential equations with constant coefficients and simple source functions. In class understand resonance and beats.
b
RLC circuit
resonance
beats
current
wireless telegraphy
LC circuit
Modeling Scenario
474
views
243
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
Modeling Scenario
905
views
1184
downloads
0
comments
3-061-ChemEngApps-ModelingScenario
Students go through a chemical engineering problem: calculate concentration profile of cyclohexane within a catalyst pellet by solving a second order linear differential equation; then analyze the concentration as the radius of the catalyst...
Spanish
porous medium
catalyisis
cyclohexene
hydrogel
dehydrogenation
hyperbolic trig functions
Modeling Scenario
244
views
182
downloads
0
comments
3-042-CatapultLaunch-ModelingScenario
We maximize the range of a projectile by backing up an incline in the opposite direction of the range to give some initial lift. Find the position on the hill from which to launch the projectile to give the best lift.
projectile motion
catapult
uphill
launch angle
Modeling Scenario
241
views
447
downloads
0
comments
6-026-IsleRoyaleModeling-ModelingScenario
The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.
ecology
optimization
predator-prey
population
vector calculus
Lagrange multipliers
least squares
Islel Royale
Results 1 - 16 of 16
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End