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
161
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(88)
Modeling Scenario
(19)
Technique Narrative
(2)
Potential Scenario
(47)
Article or Presentation
(7)
Free Online Textbook
(12)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(88)
ODE
(85)
PDE
(5)
Difference
(5)
Delay
(3)
Integral
(1)
First
(27)
Second
(16)
Higher
(2)
Linear
(18)
Nonlinear
(23)
System
(31)
Constant Coeff
(5)
Homogeneous
(4)
Nonhomogeneous
(5)
Other
(3)
Technique
(88)
Boundary Value Problems
(7)
Eigen Methods
(1)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(57)
Integrating Factor
(3)
Laplace Transform
(3)
Linear Algebra
(3)
Matrices
(1)
Numerical Methods
(13)
Parameter Estimation
(35)
Qualitative Behavior
(6)
Separable
(7)
Separation of Variables
(9)
Series
(1)
Substitution Methods
(0)
Theory (general)
(3)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(15)
Qualitative Analysis
(88)
Equilibrium
(6)
Stability
(9)
Attractor
(0)
Phase Plane
(5)
Graphical analysis
(23)
Eigenvalue analysis
(2)
Parameters
(56)
Other
(23)
Application Area
(88)
Chemistry
(5)
Economics
(2)
Engineering
(10)
Humanities
(1)
Life Sciences
(42)
Mathematics
(59)
Modeling (general)
(66)
Physics
(17)
Social Sciences
(12)
Other
(1)
Course
(88)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(19)
Calculus 3 (multivariable)
(0)
Differential Equations
(84)
Modeling
(78)
Other
(1)
Course Level
(88)
Introductory
(86)
Upper Level
(82)
Graduate
(0)
High School
(28)
Other
(2)
Lesson Length
(88)
Portion of one class period
(13)
One class period
(4)
Multiple class periods
(3)
One term (semester or quarter)
(8)
One year
(0)
Other
(60)
Technology
(88)
Derive
(1)
Excel
(5)
GeoGebra
(1)
Maple
(5)
Mathematica
(12)
MathCad
(0)
MatLab
(5)
Octave
(1)
Python
(3)
R
(2)
SAGE
(2)
Desmos
(0)
Calculator
(0)
None
(2)
Other
(63)
Approach
(88)
Directed
(6)
Flipped
(0)
Guided
(18)
Open-ended
(1)
Discussion
(1)
Develop model
(0)
Other
(66)
Skills
(88)
Data collection
(7)
Data analysis
(37)
Programming
(1)
Statistics
(3)
Other
(51)
Key Scientific Process Skills
(20)
Reading research papers
(0)
Reviewing prior research
(3)
Asking a question
(18)
Formulating hypotheses
(15)
Designing/conducting experiments
(3)
Predicting outcomes
(6)
Gathering data/making observations
(3)
Analyzing data
(9)
Interpreting results/data
(11)
Displaying/modeling results/data
(8)
Communicating results
(5)
Translating into mathematics
(0)
Assessment Type
(22)
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
(18)
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
(2)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(19)
Written assignment: Literature review
(0)
Pedagogical Approaches
(16)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(3)
Clicker Question
(0)
Collaborative Work
(2)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(1)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(11)
Vision and Change Core Competencies - Ability
(20)
Create and develop models
(18)
Use quantitative reasoning
(16)
Design simulations
(4)
Tap into interdisciplinary study
(3)
Communicate and collaborate with mathematics community
(2)
Communicate and collaborate with other disciplines
(1)
Understand the relationship between material and society
(0)
Principles of How People Learn
(21)
Motivates student to learn material
(20)
Focuses student on the material to be learned
(20)
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
(19)
Foundational: factual knowledge & comprehension
(3)
Application & Analysis
(17)
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
Potential Scenario
144
views
44
downloads
0
comments
2019-Lorelei_Koss-SIR_Models_Differential_Equations_that_Support_The_Common_Good
This article surveys how SIR models have been extended beyond investigations of biologically infectious diseases to other topics that contribute to social inequality and environmental concerns.
environment
SIR
social justice
epidemic
common good
Modeling Scenario
318
views
541
downloads
0
comments
1-155-CruiseControl-ModelingScenario
In this project we illustrate the design of a proportional-integral-derivative (PID) cruise control algorithm for an automobile. PID control is one of the most common techniques in control engineering.
PID controller
feedback control
Control theory
cruise control
automobile
closed-loop control
input-ouput
block diagram
Potential Scenario
186
views
42
downloads
0
comments
1999-Khorasheh-Ahmadi-Gerayeli-Application of Direct Search Optimization for Pharmacokinetic Parameter Estimation
For simple pharmacokinetic compartmental models, analytical solution to the governing differential equations provide a mean to evaluate the associated rate constants. Such methods, however, can not be used used for more complex multi-compartment...
sum of square errors
least squares
pharmacokinetics
lineteics
compartmental models
direct search
Potential Scenario
119
views
40
downloads
0
comments
2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide quantitative modeling and inference.
infectious disease
p
Vector-Borne Disease
lague
plague
General Resource
164
views
40
downloads
0
comments
2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,
biology
Mathematical Biology
textbook
text
Modeling Scenario
253
views
317
downloads
0
comments
1-037-CommonColdSpread-ModelingScenario
This modeling scenario guides students to simulate and investigate the spread of the common cold in a residence hall. An example floor plan is given, but the reader is encouraged to use a more relevant example.
disease
common cold
residence hall
Potential Scenario
109
views
47
downloads
0
comments
1994-Paul_Davis-Asking Good Questions about Differential Equations
A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.
questions
population
numerical
physical context
graphical
algebraic
Ireland
Potential Scenario
94
views
74
downloads
0
comments
2015-G_Knott-Chemical Kinetics - Simple Binding F + G to and from B
The study of this reaction, F + G goes to and from B, is common in chemistry and biochemistry. For example, F could be a hormone or drug and G the associated receptor sites.
binding
reaction
chemical kinetics
deterministic
Biochem Labs
probabilistic
kinetic reaction
Potential Scenario
122
views
73
downloads
0
comments
2015-Beckmann-Sanchez-Cache Calculus-Modeling Caches through Differential Equations
We present cache calculus, a technique that models cache behavior as a system of ordinary differential equations, letting standard calculus techniques find simple and accurate solutions of cache performance for common access patterns.
discrete
cache
cache calculus
Potential Scenario
180
views
87
downloads
0
comments
2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about the mathematics only.
compartment model
pharmacokinetics
pharmacodynamics
orbits
turnover
Potential Scenario
153
views
68
downloads
0
comments
2017-Gilbert-Lewis-Harvesting of renewable natural resource
This is a resource to accompany a commercial text book and has a tutorial nature with some analysis and several good exercises
logistic
maximum sustainable yield
whale
harvest
renewable resource
constant harvest
Potential Scenario
97
views
86
downloads
0
comments
2015-Jonathon_Easton, Jonathan-Mathematical models of health focusing on diabetes-Delay differential equations and data mining
This is an exhaustive study with very good references of a linear system of four differential equations with and without delay to model diabetes in a human being.
diabetes
health model
Potential Scenario
157
views
54
downloads
0
comments
2008-Lawson-Marion-An Introduction to Mathematical Modelling
This is a broad based set of notes with sections: Building Models, Studying Models, and Using Models. No depth on any model, no solution strategies, but good references to models, and general approaches that apply in most situations are offered.
time series
linear regression
Akaike Information Criterion
m
comparision models
Article or Presentation
85
views
31
downloads
0
comments
2012-R_B_Ogunrinde-J_Sunday-On_some_models_based_on_second_order_differential_equations
This paper presents some models based on second order differential equations. This is a very straightforward article with good explanations of modeling assumptions.
combat
combat model
species interaction
Article or Presentation
247
views
684
downloads
0
comments
2020-TeachingModule-SpreadOfCommonColdSimulation
This simulation is meant to introduce the idea of a differential equation model and investigate the impact of heightened hygiene and decreased interactions on the spread of an infectious disease. The focus of this simulation is on the common cold.
simulation
module
infectious disease
disease
spread
Teaching Module
spread of disease
Modeling Scenario
598
views
523
downloads
0
comments
6-001-Epidemic-ModelingScenario
This paper presents real-world data, a problem statement, and discussion of a common approach to modeling that data, including student responses. In particular, we provide time-series data on the number of boys bedridden due to an outbreak of...
data
difference equations
parameter estimation
continuous
epidemic
discrete
boarding school
Potential Scenario
127
views
39
downloads
0
comments
2008-Ribbing-EtAl-Mathematical models of diabetes progression
Writing a good model for diabetes progression is difficult because the long time span of the disease makes experimental verification of modeling hypotheses extremely awkward. underlying the
physiology
clinical trials
diabetes
diabetes progression
Modeling Scenario
130
views
39
downloads
0
comments
3-052-OptimalProjectileFiring-ModelingScenario
We offer the opportunity to model a projectile's trajectory in several cases, all without resistance.
projectile motion
projectile
launch angle
maximum range
Technique Narrative
204
views
213
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
Potential Scenario
133
views
38
downloads
0
comments
2006-Michael_Coleman-Population Modeling with Ordinary Differential Equations
We will investigate some cases of differential equations population models beyond the separable case and then expand to some basic systems of ordinary differential equations.
population dynamics
Results 1 - 20 of 88
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
Next
End