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
214
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(757)
Modeling Scenario
(293)
Technique Narrative
(21)
Potential Scenario
(360)
Article or Presentation
(51)
Free Online Textbook
(29)
General Resource
(3)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(757)
ODE
(688)
PDE
(44)
Difference
(51)
Delay
(26)
Integral
(4)
First
(296)
Second
(150)
Higher
(8)
Linear
(202)
Nonlinear
(224)
System
(285)
Constant Coeff
(75)
Homogeneous
(93)
Nonhomogeneous
(82)
Other
(23)
Technique
(757)
Boundary Value Problems
(71)
Eigen Methods
(15)
Exact Equations
(1)
Fourier Series
(1)
Initial Value Problems
(557)
Integrating Factor
(21)
Laplace Transform
(20)
Linear Algebra
(10)
Matrices
(9)
Numerical Methods
(104)
Parameter Estimation
(286)
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
(757)
Equilibrium
(79)
Stability
(76)
Attractor
(3)
Phase Plane
(38)
Graphical analysis
(202)
Eigenvalue analysis
(12)
Parameters
(468)
Other
(169)
Application Area
(757)
Chemistry
(64)
Economics
(49)
Engineering
(101)
Humanities
(10)
Life Sciences
(318)
Mathematics
(415)
Modeling (general)
(593)
Physics
(228)
Social Sciences
(85)
Other
(5)
Course
(757)
Precalculus
(5)
Calculus 1
(11)
Calculus 2
(207)
Calculus 3 (multivariable)
(9)
Differential Equations
(731)
Modeling
(692)
Other
(10)
Course Level
(757)
Introductory
(731)
Upper Level
(685)
Graduate
(8)
High School
(352)
Other
(12)
Lesson Length
(757)
Portion of one class period
(170)
One class period
(134)
Multiple class periods
(33)
One term (semester or quarter)
(21)
One year
(1)
Other
(423)
Technology
(757)
Derive
(1)
Excel
(74)
GeoGebra
(3)
Maple
(20)
Mathematica
(163)
MathCad
(0)
MatLab
(48)
Octave
(6)
Python
(8)
R
(7)
SAGE
(5)
Desmos
(4)
Calculator
(1)
None
(47)
Other
(459)
Approach
(757)
Directed
(33)
Flipped
(0)
Guided
(291)
Open-ended
(15)
Discussion
(5)
Develop model
(10)
Other
(430)
Skills
(757)
Data collection
(102)
Data analysis
(336)
Programming
(20)
Statistics
(14)
Other
(406)
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
(308)
Create and develop models
(287)
Use quantitative reasoning
(273)
Design simulations
(52)
Tap into interdisciplinary study
(48)
Communicate and collaborate with mathematics community
(10)
Communicate and collaborate with other disciplines
(32)
Understand the relationship between material and society
(3)
Principles of How People Learn
(313)
Motivates student to learn material
(302)
Focuses student on the material to be learned
(288)
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
(290)
Foundational: factual knowledge & comprehension
(32)
Application & Analysis
(271)
Synthesis/Evaluation/Creation
(7)
Includes clear efforts on Issues
(2)
Diversity
(1)
Equity
(2)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Modeling Scenario
364
views
457
downloads
0
comments
4-060-CircuitTuner-ModelingScenario
We present essential definitions and laws for the study of simple RLC electrical circuits and build a differential equation model using these notions. We describe how such a circuit can be used to tune a radio to a certain input frequency.
resistance
ciircuit
tuned mass tuner
frequency
Kirchhoff
voltage
gain
frequency response
amplitude
s Voltage Law
inductance
capacitor
I am currently working in redesining an existing microbiology course. I would like to be part of ed
Free Online Textbook
190
views
75
downloads
0
comments
2018-Eduardo-Sontag-Lecture_Notes_on_Mathematical_Systems_Biology
I am often asked if it is OK to use these notes in courses at other universities. The answer is “of course!” though I strongly suggest that a link to my website be provided, so that students can always access the current version.
biology
textbook
systems
dyanmical system
Free Online Textbook
201
views
51
downloads
0
comments
2017-Andrew_Lewis-Introduction_to_Differential_Equations_for_Smart_Kids
The author addresses the question, "If I do not teach all of the usual techniques and tricks for solving differential equations, what do I replace it with?" in a number of wonderful ways.
differential equations
modeling
textbook
Free Online Textbook
152
views
52
downloads
0
comments
2017-Craig_Tracy-Lectures on Differential Equations
These notes are for a one-quarter course in differential equations. The approach is to tie the study of differential equations to specific applications in physics with an emphasis on oscillatory systems.
physics
oscillation
Potential Scenario
223
views
79
downloads
0
comments
1975-David_Burghes-Population dynamics An introduction to differential equations
In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its extension to include crowding effects.
fish
predator-prey
logistic
population
delay
lag
Modeling Scenario
273
views
111
downloads
0
comments
6-009-FakeNews-ModelingScenario
In modern society, creating and disseminating information is easier than ever. In this project, you will model the spread of fake news and investigate ways to deter distributing misinformation.
sensitivity analysis
SIR models
SIS model
fake news
Modeling Scenario
343
views
199
downloads
0
comments
1-005A-ChemDataCollection-ModelingScenario
A student is assigned the task of collecting data on a chemical reaction and does a poor job of collecting data. She only collects data at the start and end of a number of ten minute intervals and does not keep track of when the observations are...
linear regression
kinetics
chemistry
order of reaction
chemical reaction
chemical data
infusion
differencing
Free Online Textbook
146
views
51
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
Free Online Textbook
451
views
89
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
198
views
66
downloads
0
comments
2016-Rob_deBoer-Population Dynamics A Graphical Approach
This book is an introduction into modeling population dynamics in ecology. Because there are several good textbooks on this subject, the book needs a novel ecological niche to justify its existence.
mathematical model
stability
competition
SIR
bifurcation
consumption
population population dynamics
general replication
nonlinear density dependencies
functional response
persistence
phase plan analysis
Potential Scenario
420
views
84
downloads
0
comments
2020-Cline-EtAl-A Vision for Projects Across the Mathematics Curriculum
We describe a model that incorporates projects at all stages across the undergraduate mathematics curriculum. Finally, we provide samples of projects that we have used in selected courses.
projects
technical writing
interdisciplinary skills
Potential Scenario
166
views
71
downloads
0
comments
2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in classical mechanics.
population dynamics
ecology
dynamics
classical mechanics
chemical reaction
Article or Presentation
166
views
56
downloads
0
comments
2018-Vajravelu-Teaching Large DE Classes
Practical problem solving in science and engineering programs require proficiency in mathematics. Improving student performance and retention in mathematics classes requires inventive approaches.
differential equations
Large class
large classroom
Modeling Scenario
500
views
1251
downloads
0
comments
5-040-TunedMassDamper-Part-I-Modeling Scenario
We offer an opportunity to build mathematical models to mitigate dangerous displacements in structures using structural improvements called Tuned Mass Dampers. We model the motion of the original structure as a spring-mass-dashpot system.
structure
spring-mass-dashpot
spring mass
earthquake
vibration
tuned mass tuner
restoring force
control
dampe
Article or Presentation
163
views
45
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
Modeling Scenario
353
views
291
downloads
0
comments
3-067-RLCSeriesCircuit-ModelingScenario
In this validation-oriented setup, the second order linear ordinary differential governing equation of a small signal RLC series AC circuit is solved analytically, and the results are compared with the data acquired from analyzing the numerical...
resistance
Multisim
circuit
RLC circuit
inductance
capacitance
cimulation
governing equation
Modeling Scenario
273
views
173
downloads
0
comments
1-136-MarriageAge-ModelingScenario
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. Students are asked to set up and solve these differential equations. They are then expected to analyze the behavior of these...
messages
marriage
using social sciences in forecasting
directed
Potential Scenario
155
views
70
downloads
0
comments
2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear systems.
compartment
heating
house
Modeling Scenario
228
views
347
downloads
0
comments
3-073-EarthQuakePartII-ModelingScenario
Your goal here is to determine how much friction/damping should be designed into a building to keep the roof from moving too far (which would result in the entire building collapsing) when it undergoes minor vibrations from a small earthquake.
earthquake
vibration
damping
amplitude
spring-mass system
steady-state solution
underdamped
Modeling Scenario
230
views
205
downloads
0
comments
3-071-WirelessTelegraphy-ModelingScenario
This project has three parts, (1) done at home, (2) and (3) in class. In (1) we recall how to solve second order differential equations with constant coefficients and simple source functions. In class understand resonance and beats.
b
RLC circuit
resonance
beats
current
wireless telegraphy
LC circuit
Results 1 - 20 of 757
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End