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
(9)
Modeling Scenario
(1)
Technique Narrative
(2)
Potential Scenario
(5)
Article or Presentation
(0)
Free Online Textbook
(1)
General Resource
(0)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(9)
ODE
(9)
PDE
(0)
Difference
(0)
Delay
(0)
Integral
(0)
First
(4)
Second
(0)
Higher
(0)
Linear
(1)
Nonlinear
(2)
System
(3)
Constant Coeff
(0)
Homogeneous
(0)
Nonhomogeneous
(0)
Other
(0)
Technique
(9)
Boundary Value Problems
(0)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(5)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(0)
Matrices
(0)
Numerical Methods
(2)
Parameter Estimation
(4)
Qualitative Behavior
(0)
Separable
(1)
Separation of Variables
(1)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(2)
Qualitative Analysis
(9)
Equilibrium
(0)
Stability
(0)
Attractor
(0)
Phase Plane
(0)
Graphical analysis
(2)
Eigenvalue analysis
(0)
Parameters
(6)
Other
(1)
Application Area
(9)
Chemistry
(0)
Economics
(0)
Engineering
(1)
Humanities
(0)
Life Sciences
(4)
Mathematics
(4)
Modeling (general)
(7)
Physics
(0)
Social Sciences
(1)
Other
(0)
Course
(9)
Precalculus
(0)
Calculus 1
(0)
Calculus 2
(3)
Calculus 3 (multivariable)
(0)
Differential Equations
(9)
Modeling
(8)
Other
(0)
Course Level
(9)
Introductory
(9)
Upper Level
(9)
Graduate
(0)
High School
(3)
Other
(0)
Lesson Length
(9)
Portion of one class period
(2)
One class period
(1)
Multiple class periods
(0)
One term (semester or quarter)
(1)
One year
(0)
Other
(5)
Technology
(14)
Derive
(0)
Excel
(1)
GeoGebra
(0)
Maple
(1)
Mathematica
(4)
MathCad
(0)
MatLab
(3)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(1)
Other
(9)
Approach
(9)
Directed
(0)
Flipped
(0)
Guided
(3)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(6)
Skills
(9)
Data collection
(0)
Data analysis
(3)
Programming
(1)
Statistics
(1)
Other
(5)
Key Scientific Process Skills
(3)
Reading research papers
(0)
Reviewing prior research
(1)
Asking a question
(3)
Formulating hypotheses
(3)
Designing/conducting experiments
(0)
Predicting outcomes
(1)
Gathering data/making observations
(0)
Analyzing data
(1)
Interpreting results/data
(1)
Displaying/modeling results/data
(0)
Communicating results
(0)
Translating into mathematics
(0)
Assessment Type
(3)
Assessment of individual student performance
(0)
Assessment of student groups/teams
(0)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(3)
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
(1)
Written assignment: Literature review
(0)
Pedagogical Approaches
(1)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(0)
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
(1)
Vision and Change Core Competencies - Ability
(2)
Create and develop models
(1)
Use quantitative reasoning
(2)
Design simulations
(0)
Tap into interdisciplinary study
(0)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(0)
Understand the relationship between material and society
(0)
Principles of How People Learn
(3)
Motivates student to learn material
(3)
Focuses student on the material to be learned
(3)
Develops supportive community of learners
(0)
Leverages differences among learners
(0)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(2)
Foundational: factual knowledge & comprehension
(1)
Application & Analysis
(1)
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
148
views
56
downloads
0
comments
2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of points for the finite time interval.
goal function
absolute error curves
invers method
holling-Tanner model
Technique Narrative
402
views
195
downloads
0
comments
2-001-NumericalMethodsComparisons-TechniqueNarrative
This material teaches the basics of numerical methods for first order differential equations by following graphical and numerical approaches. We discuss the order of accuracy of the methods and compare their CPU times.
Euler's method
improved Euler's method
RK3 methods
RK4 methods
order of accuracy
absolute error
CPU time
Potential Scenario
165
views
57
downloads
0
comments
2019-Hu-Treinen-One-step_method_for_modelling_longitudinal_data_with_differential_equations
This study proposes a new approach to estimate the parameters in differential equation models used to describe non-linear trajectories of longitudinal data.
simulation
parameter estimation
shopping
fitting
behaviour
Technique Narrative
427
views
206
downloads
0
comments
2-005-LinearizeItAll-TechniqueNarrative
Linear approximations are often used to simplify nonlinear ordinary differential equations (ODEs) for ease in analysis. The resulting linear approximation produces an ODE where closed form solutions may be obtained.
computation
error
Torricelli's Law
data fitting
linear approximation
Potential Scenario
226
views
75
downloads
0
comments
2014-Vance-Eads-Sensitivity Analysis of a Three-Species Nonlinear Response Omnivory Model with Predator Stage Structure
We investigate a three-species nonlinear response omnivory model incorporating stage structure in the top predator. The model consists of four coupled ordinary differential equations involving fourteen parameters.
stage structure
sensitivity analysis
mortality
omnivore
omnivory model
search rates
Modeling Scenario
223
views
259
downloads
0
comments
6-029-TumorGrowth-ModelingScenario
This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time.
Pop_Growth Pilot
logistic
comparment
tumor
synthetic data
sum of squares error
Potential Scenario
226
views
52
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
817
views
55
downloads
0
comments
2019-Stender_EtAl-Recovery_Of_Differential_Equations_From_Impulse_Response
In this work, a recent method, which allows reconstructing differential equations from time series data, is extended for higher degrees of automation.
time series
regression
response
impulse
oscillation
signal processing
sparse regression
system identification
Free Online Textbook
216
views
55
downloads
0
comments
2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
We let the author's Table of Contents speak for itself.
differential equations
modeling
textbook
Results 1 - 9 of 9
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End