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
223
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(59)
Modeling Scenario
(34)
Technique Narrative
(1)
Potential Scenario
(17)
Article or Presentation
(3)
Free Online Textbook
(3)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(59)
ODE
(57)
PDE
(2)
Difference
(4)
Delay
(2)
Integral
(1)
First
(26)
Second
(13)
Higher
(1)
Linear
(17)
Nonlinear
(25)
System
(32)
Constant Coeff
(6)
Homogeneous
(9)
Nonhomogeneous
(8)
Other
(0)
Technique
(758)
Boundary Value Problems
(71)
Eigen Methods
(15)
Exact Equations
(1)
Fourier Series
(1)
Initial Value Problems
(558)
Integrating Factor
(21)
Laplace Transform
(20)
Linear Algebra
(10)
Matrices
(9)
Numerical Methods
(105)
Parameter Estimation
(287)
Qualitative Behavior
(59)
Separable
(51)
Separation of Variables
(83)
Series
(3)
Substitution Methods
(4)
Theory (general)
(4)
Undetermined Coefficients
(2)
Variation of Parameters
(2)
Other
(65)
Qualitative Analysis
(59)
Equilibrium
(23)
Stability
(19)
Attractor
(2)
Phase Plane
(9)
Graphical analysis
(34)
Eigenvalue analysis
(2)
Parameters
(28)
Other
(4)
Application Area
(59)
Chemistry
(2)
Economics
(6)
Engineering
(7)
Humanities
(1)
Life Sciences
(24)
Mathematics
(23)
Modeling (general)
(51)
Physics
(16)
Social Sciences
(13)
Other
(1)
Course
(59)
Precalculus
(1)
Calculus 1
(0)
Calculus 2
(11)
Calculus 3 (multivariable)
(0)
Differential Equations
(58)
Modeling
(55)
Other
(1)
Course Level
(59)
Introductory
(58)
Upper Level
(56)
Graduate
(1)
High School
(34)
Other
(0)
Lesson Length
(59)
Portion of one class period
(17)
One class period
(15)
Multiple class periods
(4)
One term (semester or quarter)
(1)
One year
(1)
Other
(24)
Technology
(59)
Derive
(0)
Excel
(8)
GeoGebra
(1)
Maple
(3)
Mathematica
(13)
MathCad
(0)
MatLab
(9)
Octave
(2)
Python
(2)
R
(1)
SAGE
(2)
Desmos
(0)
Calculator
(0)
None
(4)
Other
(30)
Approach
(59)
Directed
(4)
Flipped
(0)
Guided
(32)
Open-ended
(2)
Discussion
(1)
Develop model
(0)
Other
(23)
Skills
(59)
Data collection
(8)
Data analysis
(26)
Programming
(0)
Statistics
(2)
Other
(32)
Key Scientific Process Skills
(35)
Reading research papers
(0)
Reviewing prior research
(4)
Asking a question
(33)
Formulating hypotheses
(32)
Designing/conducting experiments
(4)
Predicting outcomes
(7)
Gathering data/making observations
(7)
Analyzing data
(11)
Interpreting results/data
(11)
Displaying/modeling results/data
(11)
Communicating results
(11)
Translating into mathematics
(0)
Assessment Type
(34)
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
(32)
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)
(1)
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
(31)
Written assignment: Literature review
(0)
Pedagogical Approaches
(32)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(1)
Clicker Question
(0)
Collaborative Work
(2)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(3)
Physical Model
(0)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(26)
Vision and Change Core Competencies - Ability
(36)
Create and develop models
(36)
Use quantitative reasoning
(32)
Design simulations
(7)
Tap into interdisciplinary study
(8)
Communicate and collaborate with mathematics community
(2)
Communicate and collaborate with other disciplines
(7)
Understand the relationship between material and society
(1)
Principles of How People Learn
(36)
Motivates student to learn material
(34)
Focuses student on the material to be learned
(31)
Develops supportive community of learners
(3)
Leverages differences among learners
(2)
Reveals prior knowledge
(0)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(32)
Foundational: factual knowledge & comprehension
(3)
Application & Analysis
(31)
Synthesis/Evaluation/Creation
(2)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
General Resource
1052
views
139
downloads
0
comments
Instructor Solutions Second Edition SIMIODE Textbook HTML Version
This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox for Modeling the Real World in HTML Version.
textbook
html
SIMIODE textbook
Second Edition
Article or Presentation
187
views
84
downloads
0
comments
SIMIODE Spring 2024 Webinars - WikiModel
WikiModel is cloud-based application and requires no installation and is run via a web-browser to facilitate rapid implementation. Equations are typed in as they appear in a textbook. ODEs are automatically integrated via Runge-Kutta methods.
modeling
Software
tool
application
WikiModel
modeling cycle
Modeling Scenario
392
views
608
downloads
0
comments
6-022-CannibalismPredatorPrey-ModelingScenario
The Lotka-Volterra model tells us that the prey and predator exhibit a shifted cyclic behavior over time. In this module, we look at modifying this prey-predator model to consider the case when there is cannibalism in the predator species.
stability
predator-prey
equilibria
oscillations
cannibalism
phase planes
spiral sinks
Modeling Scenario
414
views
510
downloads
0
comments
6-068-VisualizingPredator-PreyCycles
In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be offering three predator-prey models, each more complex...
nullclines
predator-prey
Geometry
predator
Runge-Kutta
prey
limit cycle
Modeling Scenario
471
views
242
downloads
0
comments
6-005-InsectColonySurvivalOpt-ModelingScenario
We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.
optimization
Optimal Control Theory
insect colony
optimal control
natural resources
Pointryagin's Maximum Principle
control variable
Potential Scenario
200
views
103
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
223
views
74
downloads
0
comments
2018-Arden_Baxter-Modeling Public Opinion
In this paper, we adapt the epidemiological models to model the dynamics of public opinion. Public opinion is any view prevalent among the general public. Our model considers any topic or issue in which the public has two decisive and opposing...
epidemiology
population
public opinion
Potential Scenario
140
views
79
downloads
0
comments
2017-ASHP-Intro to Pharmacokinetics and Pharmacodynamics
This is the introductory Lesson 1 in an online set of materials to introduce Pharmacokinetics and Pharmacodynamics.
absorption
compartment
bloodstream
plasma
pharmacokinetics
pharmacodynamics
therapeutic concentration range
drug disposition
drug response
Potential Scenario
208
views
91
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
Potential Scenario
199
views
70
downloads
0
comments
2014-Eckhoff-EtAl-Fun with maths-exploring implications of mathematical models for malaria eradication
. In this note, four examples demonstrate both the effects of model structures and assumptions and also the benefits of using a diversity of model approaches fomalaria eradication strategies.
vaccine
malaria
migration
eradication
seasonality
Potential Scenario
182
views
80
downloads
0
comments
2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the only distinction is in their disease state.
sensitivity
disease
infection
threshold
compartment
bifrucation
Potential Scenario
200
views
53
downloads
0
comments
2009-Shamim-EtAl-Investigating viscous damping using a webcam
We describe an experiment involving a mass oscillating in a viscous fluid and analyze overdamped, critically damped and underdamped regimes of harmonic motion.
laboratory
underdamped
overdamped
critically damped
harmonic motion
image processing
viscous fluid
Potential Scenario
142
views
43
downloads
0
comments
2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.
Fredholm integral equation of
Leontief’s model
macroeconomic processes
Potential Scenario
153
views
54
downloads
0
comments
2006-Cooke-Elderkin-Huang-Predator-Prey interactions with delays due to juvenile maturation
This paper focuses on predator-prey models with juvenile/mature class structure for each of the predator and prey populations in turn, further classified by whether juvenile or mature individuals are active with respect to the predation process.
predator-prey
host-parasite
bifurcation
age structre
maturation delay
Potential Scenario
139
views
44
downloads
0
comments
2002-Chai-Optimal initial angle to fire a projectile
Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance traveled by the projectile?”
optimization
projectile motion
launch angle
Potential Scenario
129
views
55
downloads
0
comments
2001-Tsoularis-Analysis of logistic growth models
variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such models.
logistic
Gompertz
Verhulst
Pearl and Reed
Bertalanffy
Free Online Textbook
463
views
94
downloads
0
comments
2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.
spatial
sensitivity analysis
gene regulatory networks
stochastic
bifurcation
metabolic networks
electrophysiology
transduction
rate laws
biochemical reactions
Free Online Textbook
141
views
66
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
Free Online Textbook
162
views
58
downloads
0
comments
2014-Andre_De Ross-Modeling Population Dynamics
This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.
predator-prey
competition
population
growth
bifrucation
text
Potential Scenario
204
views
57
downloads
0
comments
1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given probability distribution functions.
physiology
pipeline
compartment
blood
circulation
integro-differential equation
Results 1 - 20 of 59
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
Next
End