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
(740)
Modeling Scenario
(293)
Technique Narrative
(19)
Potential Scenario
(358)
Article or Presentation
(44)
Free Online Textbook
(25)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(740)
ODE
(677)
PDE
(42)
Difference
(51)
Delay
(26)
Integral
(4)
First
(295)
Second
(149)
Higher
(7)
Linear
(201)
Nonlinear
(221)
System
(282)
Constant Coeff
(74)
Homogeneous
(92)
Nonhomogeneous
(81)
Other
(17)
Technique
(740)
Boundary Value Problems
(70)
Eigen Methods
(15)
Exact Equations
(1)
Fourier Series
(1)
Initial Value Problems
(554)
Integrating Factor
(21)
Laplace Transform
(19)
Linear Algebra
(9)
Matrices
(8)
Numerical Methods
(102)
Parameter Estimation
(285)
Qualitative Behavior
(58)
Separable
(50)
Separation of Variables
(82)
Series
(3)
Substitution Methods
(4)
Theory (general)
(4)
Undetermined Coefficients
(2)
Variation of Parameters
(2)
Other
(51)
Qualitative Analysis
(740)
Equilibrium
(77)
Stability
(74)
Attractor
(3)
Phase Plane
(37)
Graphical analysis
(201)
Eigenvalue analysis
(11)
Parameters
(467)
Other
(154)
Application Area
(740)
Chemistry
(63)
Economics
(48)
Engineering
(98)
Humanities
(9)
Life Sciences
(316)
Mathematics
(404)
Modeling (general)
(592)
Physics
(227)
Social Sciences
(82)
Other
(2)
Course
(740)
Precalculus
(5)
Calculus 1
(11)
Calculus 2
(206)
Calculus 3 (multivariable)
(9)
Differential Equations
(720)
Modeling
(692)
Other
(5)
Course Level
(740)
Introductory
(720)
Upper Level
(673)
Graduate
(7)
High School
(349)
Other
(8)
Lesson Length
(740)
Portion of one class period
(170)
One class period
(134)
Multiple class periods
(33)
One term (semester or quarter)
(15)
One year
(0)
Other
(412)
Technology
(740)
Derive
(1)
Excel
(72)
GeoGebra
(3)
Maple
(19)
Mathematica
(160)
MathCad
(0)
MatLab
(47)
Octave
(5)
Python
(8)
R
(7)
SAGE
(4)
Desmos
(4)
Calculator
(1)
None
(46)
Other
(448)
Approach
(740)
Directed
(31)
Flipped
(0)
Guided
(291)
Open-ended
(15)
Discussion
(5)
Develop model
(10)
Other
(415)
Skills
(740)
Data collection
(102)
Data analysis
(335)
Programming
(20)
Statistics
(14)
Other
(390)
Key Scientific Process Skills
(313)
Reading research papers
(2)
Reviewing prior research
(23)
Asking a question
(298)
Formulating hypotheses
(265)
Designing/conducting experiments
(55)
Predicting outcomes
(97)
Gathering data/making observations
(74)
Analyzing data
(125)
Interpreting results/data
(141)
Displaying/modeling results/data
(139)
Communicating results
(115)
Translating into mathematics
(6)
Assessment Type
(314)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(3)
Assignment
(1)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(286)
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)
(3)
Written assignment: One minute paper
(1)
Written assignment: Brochure
(0)
Written assignment: Essay
(4)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(278)
Written assignment: Literature review
(1)
Pedagogical Approaches
(276)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(11)
Clicker Question
(0)
Collaborative Work
(9)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(10)
Physical Model
(6)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(253)
Vision and Change Core Competencies - Ability
(307)
Create and develop models
(286)
Use quantitative reasoning
(272)
Design simulations
(52)
Tap into interdisciplinary study
(47)
Communicate and collaborate with mathematics community
(9)
Communicate and collaborate with other disciplines
(31)
Understand the relationship between material and society
(2)
Principles of How People Learn
(311)
Motivates student to learn material
(301)
Focuses student on the material to be learned
(287)
Develops supportive community of learners
(8)
Leverages differences among learners
(8)
Reveals prior knowledge
(8)
Requires student to do the bulk of the work
(8)
Bloom's Cognitive Level
(287)
Foundational: factual knowledge & comprehension
(29)
Application & Analysis
(269)
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
Potential Scenario
112
views
72
downloads
0
comments
2014-Wang-EtAl-Estimating Mixed-Effects Differential Equation Models
When multiple replicates of measurements are available for the dynamic process, it is of great interest to estimate mixed-effects in the ODE model for the process. We propose a semiparametric method to estimate mixed-effects ODE models.
pharmacokinetics
dynamic models
smoothing
spline
mixed-effects models
HiV combination therapy
Potential Scenario
141
views
60
downloads
0
comments
2015-Zhang-EtAl-On the Selection of ODE Models with Application to Predator-Prey Dynamical Models
We propose a computationally inexpensive approach that employs statistical estimation of the full model, followed by a combination of a least squares approximation (LSA) and the adaptive Lasso.
least-squares approximation
Spline modeling
Monte Carlo simulations
variable selection
adaptive LASSO
Potential Scenario
97
views
37
downloads
0
comments
2008-Brewer-EtAl-Fitting ordinary differential equations to short time course data
In this paper, we present a survey of existing algorithms and describe the main approaches. We also introduce and evaluate a new efficient technique for estimating ODEs linear in parameters particularly suited to situations where noise levels are...
time series
Evaluation SPLINE
gene
least squares
bifurcation
Potential Scenario
161
views
36
downloads
0
comments
2016-Banks-EtAl-Modeling Bumble Bee Population Dynamics with Delay Differential Equations
To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes multi-colony bumble bee population dynamics.
population model
Reproduction
spline approximations
Bombus terrestris
neonicotinoids
bumble bee
Potential Scenario
547
views
68
downloads
0
comments
2023-TechShareNotes. Differential Equations Modeling
TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as excellent diagrams and explanations.
population dynamics
predator-prey
circuit
reaction
spring mass
pharmacokinetics
cooling
Potential Scenario
81
views
35
downloads
0
comments
2006-Thomas_Lingefjard-Faces of mathematical modeling
In this paper I will discuss and exemplify my perspectives on how to teach mathematical modeling, as well as discuss quite different faces of mathematical modeling.
teaching modeling
Article or Presentation
176
views
41
downloads
0
comments
2017-Brian_Winkel-Let_Us_Do_It_Using_Modeling_in_the_Classroom
In this article the author, Brian Winkel, Director of SIMIODE, attempts to make the case for modeling in the differential equations classroom by giving both rationale and examples.
differential equations
modeling
classroom
Modeling Scenario
265
views
241
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
Potential Scenario
138
views
40
downloads
0
comments
1998-Elly_Claus-McGahan-Modeling Projects in a Differential Equations Course
Here we discuss the value of student designed, in-depth, modeling projects in a differential equations course and how to prepare them for it.
projects
writing
population
tank
mixing
computer-aided analysis
sprinting
Article or Presentation
208
views
429
downloads
0
comments
2020-TeachingModule-ModelingNonlethalInfluenzaEpidemic
We discuss the modeling efforts and tools for success in modeling the spread of nonlethal influenza in an English boarding school
module
epidemic
boarding school
Teaching Module
Potential Scenario
147
views
55
downloads
0
comments
2012-Murray_Bourne-Modeling fish stocks
Discusses many models of harvesting and consequences.
fish
logistic
management
susustainable development
harvest
fish stock
overpopulated
unsustainable
Potential Scenario
87
views
35
downloads
0
comments
2005-HP-Hirst-Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling
Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling.
predator-prey
history
Potential Scenario
153
views
62
downloads
0
comments
2009-Peter-Howard-Modeling With ODE
This is a set of class notes rich in examples and ideas for modeling. There is some MatLab code in support of some of the activities.
rates
competition
population
epidemic
pendulum
carbon dating
reaction chemistry
mechanics
planetary motion
drag racing
Hamilton’s method
variational method
Potential Scenario
158
views
35
downloads
0
comments
2013-Alicia_Caldwell-Students Rise to the Challenge of Modeling Yeast Growth Despite Sour Hiccups from Imperfect Data
This paper describes a lab in which students in an Applied Mathematics in Biology course observe the growth of Saccharomyces cerevisiae, a yeast strain, in differing sugar concentrations for use in learning modeling.
Saccharomyces cerevisiae
logistic
yeast
death
growth
sugar
alcohol
Potential Scenario
170
views
52
downloads
0
comments
2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.
population dynamics
logistic
Inquiry-based modeling
IBL
Potential Scenario
129
views
34
downloads
0
comments
2013-Clarke-Skirba-Rationale and resources for teaching the mathematical modeling of athletic training and performance
It is advisable that the professionals involved learn the various tools available for designing effective training programs.
fitness
exercise physiology
critical power model
Banister impulse-response model
coaching education
physical fitness
performance modeling
Free Online Textbook
111
views
44
downloads
0
comments
2015-H_Sayama-Intro to Modeling and Analysis of Complex Systems
Introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science.
textbook
text
Potential Scenario
160
views
54
downloads
0
comments
1988-EY_Rodin-N_Taber-Yeast Growth Modelling in a Laboratory
Modeling simple growth with some missing data and doing linear regression for parameter estimation in closed form solution of differential equation model and data.
regression
yeast
growth
Potential Scenario
123
views
39
downloads
0
comments
2011-Nguyen-Shi-Modeling the absorption circulation and metabolism of tirapazamine
This apparently is a student project and it develops the kinetic model, uses Matlab for numerical solution, analytic solution and numerical solution.
absorption
Michaelis-Menten
Metabolism
drug metabolism
circulation
Potential Scenario
169
views
75
downloads
0
comments
2014-Enderling-Chaplain-Mathematical Modeling of Tumor Growth and Treatment
Herein we describe fundamentals of mathematical modeling of tumor growth and tumor-host interactions, and summarize some of the seminal and most prominent approaches.
cancer
tumor modeling
angiogenesis
tumor growth
patient care
Results 1 - 20 of 740
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End