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
219
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(406)
Modeling Scenario
(107)
Technique Narrative
(17)
Potential Scenario
(212)
Article or Presentation
(39)
Free Online Textbook
(28)
General Resource
(3)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(406)
ODE
(364)
PDE
(29)
Difference
(20)
Delay
(18)
Integral
(4)
First
(136)
Second
(81)
Higher
(4)
Linear
(95)
Nonlinear
(101)
System
(152)
Constant Coeff
(28)
Homogeneous
(34)
Nonhomogeneous
(41)
Other
(17)
Technique
(406)
Boundary Value Problems
(53)
Eigen Methods
(11)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(278)
Integrating Factor
(11)
Laplace Transform
(16)
Linear Algebra
(8)
Matrices
(5)
Numerical Methods
(40)
Parameter Estimation
(94)
Qualitative Behavior
(32)
Separable
(20)
Separation of Variables
(32)
Series
(2)
Substitution Methods
(4)
Theory (general)
(4)
Undetermined Coefficients
(0)
Variation of Parameters
(2)
Other
(53)
Qualitative Analysis
(406)
Equilibrium
(46)
Stability
(50)
Attractor
(2)
Phase Plane
(24)
Graphical analysis
(87)
Eigenvalue analysis
(8)
Parameters
(199)
Other
(136)
Application Area
(406)
Chemistry
(34)
Economics
(22)
Engineering
(60)
Humanities
(5)
Life Sciences
(176)
Mathematics
(261)
Modeling (general)
(313)
Physics
(114)
Social Sciences
(44)
Other
(3)
Course
(406)
Precalculus
(4)
Calculus 1
(9)
Calculus 2
(96)
Calculus 3 (multivariable)
(7)
Differential Equations
(389)
Modeling
(363)
Other
(8)
Course Level
(406)
Introductory
(387)
Upper Level
(369)
Graduate
(6)
High School
(156)
Other
(10)
Lesson Length
(406)
Portion of one class period
(63)
One class period
(53)
Multiple class periods
(15)
One term (semester or quarter)
(19)
One year
(1)
Other
(265)
Technology
(406)
Derive
(1)
Excel
(9)
GeoGebra
(1)
Maple
(10)
Mathematica
(52)
MathCad
(0)
MatLab
(25)
Octave
(3)
Python
(3)
R
(4)
SAGE
(4)
Desmos
(2)
Calculator
(0)
None
(40)
Other
(281)
Approach
(406)
Directed
(14)
Flipped
(0)
Guided
(113)
Open-ended
(5)
Discussion
(2)
Develop model
(2)
Other
(277)
Skills
(757)
Data collection
(102)
Data analysis
(336)
Programming
(20)
Statistics
(14)
Other
(406)
Key Scientific Process Skills
(117)
Reading research papers
(2)
Reviewing prior research
(14)
Asking a question
(112)
Formulating hypotheses
(99)
Designing/conducting experiments
(1)
Predicting outcomes
(20)
Gathering data/making observations
(1)
Analyzing data
(6)
Interpreting results/data
(20)
Displaying/modeling results/data
(24)
Communicating results
(22)
Translating into mathematics
(3)
Assessment Type
(121)
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
(110)
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)
(3)
Written assignment: One minute paper
(0)
Written assignment: Brochure
(0)
Written assignment: Essay
(1)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(102)
Written assignment: Literature review
(0)
Pedagogical Approaches
(102)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(0)
Clicker Question
(0)
Collaborative Work
(2)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(1)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(99)
Vision and Change Core Competencies - Ability
(117)
Create and develop models
(104)
Use quantitative reasoning
(93)
Design simulations
(11)
Tap into interdisciplinary study
(21)
Communicate and collaborate with mathematics community
(5)
Communicate and collaborate with other disciplines
(17)
Understand the relationship between material and society
(2)
Principles of How People Learn
(123)
Motivates student to learn material
(116)
Focuses student on the material to be learned
(110)
Develops supportive community of learners
(4)
Leverages differences among learners
(2)
Reveals prior knowledge
(5)
Requires student to do the bulk of the work
(3)
Bloom's Cognitive Level
(119)
Foundational: factual knowledge & comprehension
(24)
Application & Analysis
(105)
Synthesis/Evaluation/Creation
(3)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
General Resource
879
views
123
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
Modeling Scenario
1077
views
169
downloads
0
comments
3-051-ProjectileMotions-ModelingScenario
We consider several instances of projectile flight without resistance, one on level ground and one from edge of cliff to determine maximum distance and placement.
trajectory
launching radiant
projectile motion
projectile
no resistance
angle of launch
Modeling Scenario
172
views
55
downloads
0
comments
3-052-OptimalProjectileFiring-ModelingScenario
We offer the opportunity to model a projectile's trajectory in several cases, all without resistance.
projectile motion
projectile
launch angle
maximum range
Modeling Scenario
175
views
70
downloads
0
comments
1-144-HeatCool-ModelingScenario
We offer an opportunity to build a mathematical model using Newton's Law of Cooling for a closed plastic baggie of liquid inside a liquid container.
temperature
Newton's Law of Cooling
cooling
Modeling Scenario
291
views
105
downloads
0
comments
1-131-CaffeineElimination-ModelingScenario
We model the concentration of caffeine eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
caffeine
elimination
pharmacokinetics
drug
Article or Presentation
692
views
100
downloads
0
comments
SIMIODE Spring 2024 Webinars - Ethics Modeling
A Practical Guide for Incorporating Ethical Reasoning into Mathematics Courses through Modeling Problems
modeling
interdisciplinary
guide
ethics
group work
ethical reasoning
Article or Presentation
167
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
502
views
172
downloads
0
comments
3-033-S-TimeUpTimeDown-ModelingScenario
We seek to compare for the time a projectile takes to go vertically up with the time it takes to return to its starting position.
projectile motion
apex
vertical motion
Modeling Scenario
372
views
583
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
Article or Presentation
666
views
675
downloads
0
comments
2020-TeachingModule-CarSuspension
The modeling activity on car suspensions assumes that students have grappled with second order linear homogeneous differential equations with constant coefficients.
module
suspension
car suspension
second order
Teaching Module
Modeling Scenario
396
views
493
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
327
views
521
downloads
0
comments
1-132-DigoxinElimination-ModelingScenario
We model the concentration of digoxin eliminated from the human body at a rate proportional to the concentration. This is a ``first-order reaction'' in the language of pharmacokinetics -- the study of how drugs move in the body.
nullclines
pharmacokinetics
digoxin
drug elimination
two compartment
Article or Presentation
5847
views
737
downloads
0
comments
2020-TeachingModule-GeometricBehaviorOfLinearSysteModeling
This module concentrates on the geometric properties of a system of 2 linear, homogeneous first order differential equations in 2 variables as dictated by the corresponding eigenvalues. Students should be familiar with using eigenvalues.
module
linear systems
digoxin
Teaching Module
Article or Presentation
275
views
552
downloads
0
comments
2020-Teaching Module-Applying Separation Of Variables
This is one of several Teaching Modules prepare by the Principal Investigates of SIMIODE’s National Science Foundation grant and offered in 2020. The material offered is a complete narrative of how a modeling activity can be offered including...
modules
Ebola
separation of variables
Teaching Modules
Separation
Modeling Scenario
350
views
613
downloads
0
comments
1-155-CruiseControl-ModelingScenario
In this project we illustrate the design of a proportional-integral-derivative (PID) cruise control algorithm for an automobile. PID control is one of the most common techniques in control engineering.
PID controller
feedback control
Control theory
cruise control
automobile
closed-loop control
input-ouput
block diagram
Technique Narrative
173
views
290
downloads
0
comments
1-061-SingularPerturbation-TechniqueNarrative
This paper introduces the basics of singular perturbation methods for solving ordinary differential equations. Interactive examples will show how the smallness of physical parameters can drastically change the nature of the solutions.
perturbation
singular perturbation
Technique Narrative
210
views
342
downloads
0
comments
1-060-RegularPerturbation-TechniqueNarrative
This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation methods.
perturbation
regular perturbation
asymptotic expansions
analytical approximation
Bernoulli equation
Technique Narrative
247
views
248
downloads
0
comments
1-015-DimensionlessVariables-TechniqueNarrative
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the use of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's.
linearization
dimensional analysis
time scale
scaling
dimensionless variables
spatial scale
Modeling Scenario
447
views
221
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
254
views
85
downloads
0
comments
2023-Roberto_Camassaa-Richard_McLaughlina-Tauberian identities and the connection to Wile E Coyote physics
The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of the spring constants and masses.
Hangtime
Tauberian Identities
Road Runner
Wile E. Coyote
Results 1 - 20 of 406
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End