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
181
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(276)
Modeling Scenario
(257)
Technique Narrative
(11)
Potential Scenario
(1)
Article or Presentation
(6)
Free Online Textbook
(0)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(276)
ODE
(253)
PDE
(11)
Difference
(28)
Delay
(1)
Integral
(0)
First
(152)
Second
(71)
Higher
(5)
Linear
(129)
Nonlinear
(106)
System
(74)
Constant Coeff
(61)
Homogeneous
(82)
Nonhomogeneous
(57)
Other
(4)
Technique
(276)
Boundary Value Problems
(6)
Eigen Methods
(9)
Exact Equations
(1)
Fourier Series
(1)
Initial Value Problems
(218)
Integrating Factor
(17)
Laplace Transform
(9)
Linear Algebra
(4)
Matrices
(5)
Numerical Methods
(53)
Parameter Estimation
(94)
Qualitative Behavior
(32)
Separable
(40)
Separation of Variables
(65)
Series
(1)
Substitution Methods
(3)
Theory (general)
(1)
Undetermined Coefficients
(2)
Variation of Parameters
(0)
Other
(8)
Qualitative Analysis
(276)
Equilibrium
(31)
Stability
(20)
Attractor
(1)
Phase Plane
(21)
Graphical analysis
(133)
Eigenvalue analysis
(6)
Parameters
(151)
Other
(45)
Application Area
(276)
Chemistry
(16)
Economics
(15)
Engineering
(52)
Humanities
(3)
Life Sciences
(80)
Mathematics
(13)
Modeling (general)
(201)
Physics
(116)
Social Sciences
(31)
Other
(1)
Course
(276)
Precalculus
(3)
Calculus 1
(4)
Calculus 2
(118)
Calculus 3 (multivariable)
(3)
Differential Equations
(267)
Modeling
(250)
Other
(4)
Course Level
(276)
Introductory
(268)
Upper Level
(252)
Graduate
(4)
High School
(225)
Other
(1)
Lesson Length
(276)
Portion of one class period
(147)
One class period
(112)
Multiple class periods
(29)
One term (semester or quarter)
(1)
One year
(1)
Other
(8)
Technology
(276)
Derive
(0)
Excel
(57)
GeoGebra
(2)
Maple
(12)
Mathematica
(132)
MathCad
(0)
MatLab
(24)
Octave
(4)
Python
(4)
R
(2)
SAGE
(2)
Desmos
(3)
Calculator
(1)
None
(38)
Other
(60)
Approach
(276)
Directed
(17)
Flipped
(0)
Guided
(256)
Open-ended
(10)
Discussion
(4)
Develop model
(7)
Other
(3)
Skills
(276)
Data collection
(71)
Data analysis
(171)
Programming
(10)
Statistics
(8)
Other
(95)
Key Scientific Process Skills
(270)
Reading research papers
(2)
Reviewing prior research
(17)
Asking a question
(264)
Formulating hypotheses
(236)
Designing/conducting experiments
(50)
Predicting outcomes
(84)
Gathering data/making observations
(68)
Analyzing data
(111)
Interpreting results/data
(121)
Displaying/modeling results/data
(117)
Communicating results
(100)
Translating into mathematics
(3)
Assessment Type
(269)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(2)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(253)
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)
(1)
Written assignment: One minute paper
(1)
Written assignment: Brochure
(0)
Written assignment: Essay
(3)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(242)
Written assignment: Literature review
(1)
Pedagogical Approaches
(244)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(10)
Clicker Question
(0)
Collaborative Work
(7)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(7)
Physical Model
(3)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(227)
Vision and Change Core Competencies - Ability
(274)
Create and develop models
(259)
Use quantitative reasoning
(273)
Design simulations
(49)
Tap into interdisciplinary study
(38)
Communicate and collaborate with mathematics community
(7)
Communicate and collaborate with other disciplines
(24)
Understand the relationship between material and society
(3)
Principles of How People Learn
(269)
Motivates student to learn material
(263)
Focuses student on the material to be learned
(250)
Develops supportive community of learners
(8)
Leverages differences among learners
(6)
Reveals prior knowledge
(6)
Requires student to do the bulk of the work
(4)
Bloom's Cognitive Level
(242)
Foundational: factual knowledge & comprehension
(16)
Application & Analysis
(230)
Synthesis/Evaluation/Creation
(6)
Includes clear efforts on Issues
(2)
Diversity
(1)
Equity
(2)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Article or Presentation
660
views
92
downloads
0
comments
SIMIODE Spring 2024 Webinars - Ethics Modeling
A Practical Guide for Incorporating Ethical Reasoning into Mathematics Courses through Modeling Problems
modeling
interdisciplinary
guide
ethics
group work
ethical reasoning
Article or Presentation
173
views
412
downloads
1
comments
2020-TeachingModule-ModelingFallingColumnOfWater
We discuss how to model a falling column of water empirically and analytically from first principles in physics laws.
module
column of water
Torricelli's Law
Torricelli
Teaching Module
Modeling Scenario
327
views
305
downloads
0
comments
1-102-CancerTumor-ModelingScenario
This module guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including exponential, power law, Bertalanffy, logistic, and...
optimization
logistic
prediction
data fitting
power law
Gompertz
cancer growth
eponential
Bertalanaffy
Modeling Scenario
332
views
222
downloads
0
comments
1-102C-CancerGrowth-ModelingScenario
This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including exponential, power law, Bertalanffy, logistic, and...
optimization
cancer
logistic
exponential
prediction
tumor
growth
data fitting
power law
Bertanffy
Gompertz
Article or Presentation
470
views
84
downloads
0
comments
2007-John_Jungck-Ten_Equations_that_Changed_Biology-Mathematics_in_Problem-Solving_Biology_Curricula The author
These equations were selected upon the basis of wide-spread recognition of the value of the models.
biology
equations
ten equations
Modeling Scenario
187
views
62
downloads
0
comments
1-131-CaffeineElimination-ModelingScenario
We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
caffeine
elimination
pharmacokinetics
drug
Modeling Scenario
223
views
179
downloads
0
comments
1-078-MonodGrowthModel-ModelingScenario
Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.
bacteria
nutrient cycles
growth
Monod
consumption
Modeling Scenario
274
views
281
downloads
0
comments
5-024-PhGreatLakes
In this teaching modeling scenario, we demonstrate how lessons on salt-tank compartmental modeling can be used to predict phosphorus levels in the Great Lakes.
Great Lakes
limnology
comparment
pollution
compartmental models
phosphorous
Modeling Scenario
245
views
398
downloads
0
comments
1-031-CoolIt-ModelingScenario
We offer data on the temperature of water in a beaker in a room of constant temperature and in a room of nonconstant temperature. Students consider both empirical and analytic modeling approaches. We offer additional data sets in Excel...
Spanish
Newton's Law of Cooling
cooling
Article or Presentation
224
views
532
downloads
0
comments
2020-TeachingModule-ModelingSpreadOfOilSlick
This is support material and video for teaching a Modeling Scenario using a first order ODE to model the spread of an oilslick with incomplete data.
module
oil slick
Teaching Module
Modeling Scenario
504
views
224
downloads
0
comments
1-104A-T-InfectionRisk-ModelingScenario
This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions and comparing to actual disease data sets.
regression
infection
COVID19
carrying capacity
logistic equation
exponential model
Technique Narrative
207
views
232
downloads
0
comments
1-015-DimensionlessVariables-TechniqueNarrative
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's.
linearization
dimensional analysis
time scale
scaling
dimensionless variables
spatial scale
Modeling Scenario
1125
views
5375
downloads
0
comments
5-001-LSD-ModelingScenario
We describe the use of a two compartment model of a linear system of first order linear differential equations to model lysergic acid diethylamide (LSD) in the body. We provide the data from the literature.
LSD
Spanish
compartment
pharmacokinetics
lysergic acid diethylamide
Modeling Scenario
1143
views
1238
downloads
0
comments
1-070-FisheryHarvest-ModelingScenario
Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At each stage we ask students to reflect on the model.
logistic
Diffusion
management
harvest
fishery
Modeling Scenario
556
views
221
downloads
0
comments
1-008-HangTime-ModelingScenario
We present a modeling opportunity for students in which they model the vertical position of a basketball player taking a jump shot. The goal of the scenario is to get students to consider the meaning of the notion ``hang-tune.''
gravity
hang tim
Newton's Second Law of Motion
jump shot
Modeling Scenario
1110
views
608
downloads
0
comments
3-065-UpDown-ModelingScenario
We model the height of a launched object which is subject to resistance proportional to velocity during its flight. We ask questions about the motion as well, e.g., highest point or apex and terminal velocity.
terminal velocity
Newton's Second Law of Motion
velocity
motion
apex
Modeling Scenario
341
views
548
downloads
0
comments
1-076-ClimateBifurcation-ModelingScenario
We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.
energy balance
climate
energy
albedo
Hysteresis
bifurcation
ice-age
greenhouse
balance
Stefan Boltzmann Law
Modeling Scenario
359
views
248
downloads
0
comments
7-011-CoupledSystemLaplace-ModelingScenario
Differential equations and Laplace transforms are an integral part of control problems in engineering systems. We consider a baby warming device.
transfer function
polycarbonate
baby heater
coupled system
heating
Technique Narrative
715
views
177
downloads
0
comments
7-006-LaplaceTransformBirth-TechniqueNarrative
We present a way of introducing the Laplace Transform as the continuous analogue of a power series expression of a function.
Transformations
power series
Technique Narrative
385
views
151
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
Results 1 - 20 of 276
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End