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
164
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(383)
Modeling Scenario
(127)
Technique Narrative
(9)
Potential Scenario
(216)
Article or Presentation
(17)
Free Online Textbook
(12)
General Resource
(2)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(383)
ODE
(359)
PDE
(16)
Difference
(19)
Delay
(19)
Integral
(2)
First
(115)
Second
(73)
Higher
(6)
Linear
(108)
Nonlinear
(116)
System
(285)
Constant Coeff
(39)
Homogeneous
(35)
Nonhomogeneous
(26)
Other
(5)
Technique
(383)
Boundary Value Problems
(31)
Eigen Methods
(13)
Exact Equations
(1)
Fourier Series
(0)
Initial Value Problems
(296)
Integrating Factor
(5)
Laplace Transform
(12)
Linear Algebra
(10)
Matrices
(9)
Numerical Methods
(66)
Parameter Estimation
(155)
Qualitative Behavior
(38)
Separable
(10)
Separation of Variables
(8)
Series
(0)
Substitution Methods
(4)
Theory (general)
(3)
Undetermined Coefficients
(0)
Variation of Parameters
(2)
Other
(25)
Qualitative Analysis
(383)
Equilibrium
(52)
Stability
(55)
Attractor
(3)
Phase Plane
(23)
Graphical analysis
(106)
Eigenvalue analysis
(9)
Parameters
(258)
Other
(64)
Application Area
(383)
Chemistry
(39)
Economics
(25)
Engineering
(50)
Humanities
(5)
Life Sciences
(201)
Mathematics
(235)
Modeling (general)
(314)
Physics
(80)
Social Sciences
(44)
Other
(0)
Course
(383)
Precalculus
(2)
Calculus 1
(2)
Calculus 2
(46)
Calculus 3 (multivariable)
(5)
Differential Equations
(378)
Modeling
(361)
Other
(1)
Course Level
(383)
Introductory
(373)
Upper Level
(349)
Graduate
(2)
High School
(148)
Other
(6)
Lesson Length
(383)
Portion of one class period
(67)
One class period
(55)
Multiple class periods
(21)
One term (semester or quarter)
(7)
One year
(1)
Other
(242)
Technology
(383)
Derive
(0)
Excel
(25)
GeoGebra
(2)
Maple
(15)
Mathematica
(74)
MathCad
(0)
MatLab
(23)
Octave
(3)
Python
(5)
R
(4)
SAGE
(4)
Desmos
(3)
Calculator
(0)
None
(16)
Other
(257)
Approach
(383)
Directed
(17)
Flipped
(0)
Guided
(127)
Open-ended
(5)
Discussion
(2)
Develop model
(1)
Other
(241)
Skills
(383)
Data collection
(35)
Data analysis
(176)
Programming
(7)
Statistics
(11)
Other
(205)
Key Scientific Process Skills
(137)
Reading research papers
(0)
Reviewing prior research
(18)
Asking a question
(129)
Formulating hypotheses
(114)
Designing/conducting experiments
(12)
Predicting outcomes
(30)
Gathering data/making observations
(18)
Analyzing data
(40)
Interpreting results/data
(51)
Displaying/modeling results/data
(52)
Communicating results
(47)
Translating into mathematics
(3)
Assessment Type
(137)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(3)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(123)
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
(122)
Written assignment: Literature review
(1)
Pedagogical Approaches
(118)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(3)
Clicker Question
(0)
Collaborative Work
(6)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(4)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(107)
Vision and Change Core Competencies - Ability
(133)
Create and develop models
(125)
Use quantitative reasoning
(116)
Design simulations
(18)
Tap into interdisciplinary study
(26)
Communicate and collaborate with mathematics community
(8)
Communicate and collaborate with other disciplines
(18)
Understand the relationship between material and society
(2)
Principles of How People Learn
(136)
Motivates student to learn material
(132)
Focuses student on the material to be learned
(123)
Develops supportive community of learners
(2)
Leverages differences among learners
(3)
Reveals prior knowledge
(5)
Requires student to do the bulk of the work
(3)
Bloom's Cognitive Level
(130)
Foundational: factual knowledge & comprehension
(17)
Application & Analysis
(120)
Synthesis/Evaluation/Creation
(4)
Includes clear efforts on Issues
(1)
Diversity
(0)
Equity
(1)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
152
views
47
downloads
0
comments
2016-Wilkie-EtAl-Using ODEs to Explore Cancer-Immune Dynamics and Tumor Dormancy
Here we present a general method using ordinary differential equations (ODEs) to model and analyze cancer-immune interactions, and in particular, immune-induced tumor dormancy.
cancer
tumor-inhibiting cytotoxic action
tumor-promoting inflammation
immune-induced tumor dormancy
tumor growth dynamics
Potential Scenario
210
views
52
downloads
0
comments
2011-Radouane_Yafia-A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System
In this paper, we present a competition model of malignant tumor growth that includes the immune system response. The model considers two populations: immune system (effector cells) and population of tumor (tumor cells).
Immunology
tumor
hopf bifrucation
Potential Scenario
125
views
44
downloads
0
comments
2017-Bonin-EtAl-Mathematical modeling based on ordinary differential equations - promising approach to vaccinology
As a proof of concept, we developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data available in the literature.
immune system
yellow fever
computational immunology
computational vaccinology
Potential Scenario
133
views
67
downloads
0
comments
2016-Bonin-EtAl-Mathematical modeling based on ordinary differential equations-vaccinology
We developed a model of the immune response to vaccination against the yellow fever. Our simulations have shown consistent results when compared with experimental data available in the literature.
Immunology
immune system
Antigen
vaccinology
yellow fever
Potential Scenario
125
views
83
downloads
0
comments
2017-Fred_Adler-Mathematically Modeling Asthma
Our Asthma models have examined how a viral infection can tip the immune system into a different state, with the potential to predispose an individual to future asthma
infection
asthma
immune response
rhinovirus
Modeling Scenario
386
views
91
downloads
0
comments
6-017-OncolyticViruses-ModelingScenario
Students explore oncolytic virotherapy using systems of differential equations and numerical simulations.
cancer
cancer-immune dynamics
immune suppressor drug
oncolytic virus
virotherapy
Potential Scenario
118
views
42
downloads
0
comments
2006-Loyd-Wodarz-Drug Resistance in Acute Viral Infections-Rhinovirus as a Case Study
We develop an epidemiological model that can be used to address the spread of resistance at the population level, and a virus dynamics model that can be used to study the dynamics of virus over the time course of an individual’s infection.
stability
resistance
virus
drug
epidemic competition
immune response
rhinovirus
Potential Scenario
124
views
36
downloads
0
comments
1992-Emelie_Kenney-Differential equations and the AIDS epidemic
This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of first-order linear differential equations and the derivative as a rate of change.
epidemic
CDC
AIDS
Disease Control
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
Modeling Scenario
146
views
108
downloads
0
comments
6-003-SchoolFluEpidemic-ModelingScenario
We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.
infection
epidemic
SIR model
flu
peak
school children
Potential Scenario
115
views
62
downloads
0
comments
2017-Allali-EtAl-Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection
The aim of this paper is to study the early stage of HBV infection and impact delay in the infection process on the adaptive immune response, which includes cytotoxic T-lymphocytes and antibodies.
logistic
HBV infection
adaptive immunie response
T-lymphocytes
Potential Scenario
168
views
46
downloads
0
comments
2010-Jungck-EtAl-Mathematical Manipulative Models-In Defense of Beanbag Biology
This paper offers up samples of projects from the Bio- QUEST Curriculum Consortium’s 24-yr experience of holding faculty development workshops for biology and mathematics educators.
epidemiology
simulation
infectious disease
disease transmission
disease
in-class activity
bean bag activity
Potential Scenario
166
views
68
downloads
0
comments
1988-Steven_Strogatz-Love Affairs and Differential Equations.
This is a system of differential equations to describe the love between Shakespeare’s Romeo and Juliet.
Romeo and Juliet
love
Article or Presentation
147
views
33
downloads
0
comments
2010-Kar-Chakraborty-Bioeconomic_modelling_of_a_prey_predator_system_using_differential_algebraic_equations
We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response.
economics
bifurcation
harvest
fishery
equilibrium
differential algebraic equation
Article or Presentation
105
views
48
downloads
0
comments
1992-Emelie_Kenney-Differential_equations_and_the_AIDS_epidemic
This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of first-order linear differential equations and the derivative as a rate of change.
data
first order
parameter
AIDS
Potential Scenario
145
views
46
downloads
0
comments
2017-Sim-EtAl-Optimal control of a coupled tanks system with model-reality differences
In this paper, an efficient computational approach is proposed to optimize and control a coupled tanks system.
optimal control
flow
tanks
coupled tanks
Potential Scenario
140
views
44
downloads
0
comments
2019-Fan_ Li_ Yin- Impact_of_environmental_tax_on_green_development-nonlinear_dynamical_system_analysis
This study analyzes the impact of environmental tax on green development by using a four-dimension dynamical system.
environment
system
equilibrium point
model chaos
economic growth
nonlinear
Potential Scenario
126
views
85
downloads
0
comments
2014-John_Cimbala-Dynamic System Response
In this learning module, we discuss the dynamic system response of sensors and their associated electronic circuits.
sensor networks
oscillations
system response
electronic circuit
Potential Scenario
471
views
43
downloads
0
comments
1993-Paul_Blanchard-Teaching Differential Equations With a Dynamical Systems Viewpoint
This is an early discourse on the dynamical system view point of teaching differential equations with a number of rich illustrations.
dynamical systems
Technique Narrative
386
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 383
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End