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
(126)
Modeling Scenario
(33)
Technique Narrative
(10)
Potential Scenario
(63)
Article or Presentation
(6)
Free Online Textbook
(12)
General Resource
(2)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(126)
ODE
(110)
PDE
(13)
Difference
(7)
Delay
(7)
Integral
(1)
First
(39)
Second
(29)
Higher
(2)
Linear
(27)
Nonlinear
(29)
System
(38)
Constant Coeff
(8)
Homogeneous
(9)
Nonhomogeneous
(9)
Other
(4)
Technique
(126)
Boundary Value Problems
(16)
Eigen Methods
(4)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(87)
Integrating Factor
(2)
Laplace Transform
(2)
Linear Algebra
(3)
Matrices
(2)
Numerical Methods
(21)
Parameter Estimation
(28)
Qualitative Behavior
(9)
Separable
(8)
Separation of Variables
(6)
Series
(2)
Substitution Methods
(2)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(1)
Other
(18)
Qualitative Analysis
(126)
Equilibrium
(15)
Stability
(10)
Attractor
(1)
Phase Plane
(12)
Graphical analysis
(30)
Eigenvalue analysis
(7)
Parameters
(58)
Other
(46)
Application Area
(126)
Chemistry
(11)
Economics
(8)
Engineering
(18)
Humanities
(3)
Life Sciences
(46)
Mathematics
(84)
Modeling (general)
(95)
Physics
(33)
Social Sciences
(10)
Other
(1)
Course
(126)
Precalculus
(1)
Calculus 1
(4)
Calculus 2
(24)
Calculus 3 (multivariable)
(2)
Differential Equations
(120)
Modeling
(108)
Other
(2)
Course Level
(126)
Introductory
(118)
Upper Level
(112)
Graduate
(2)
High School
(45)
Other
(4)
Lesson Length
(126)
Portion of one class period
(14)
One class period
(24)
Multiple class periods
(7)
One term (semester or quarter)
(9)
One year
(0)
Other
(76)
Technology
(126)
Derive
(0)
Excel
(8)
GeoGebra
(1)
Maple
(3)
Mathematica
(11)
MathCad
(0)
MatLab
(10)
Octave
(2)
Python
(1)
R
(1)
SAGE
(0)
Desmos
(1)
Calculator
(0)
None
(9)
Other
(87)
Approach
(126)
Directed
(9)
Flipped
(0)
Guided
(36)
Open-ended
(2)
Discussion
(0)
Develop model
(1)
Other
(81)
Skills
(126)
Data collection
(6)
Data analysis
(36)
Programming
(4)
Statistics
(1)
Other
(88)
Key Scientific Process Skills
(39)
Reading research papers
(1)
Reviewing prior research
(3)
Asking a question
(38)
Formulating hypotheses
(33)
Designing/conducting experiments
(1)
Predicting outcomes
(7)
Gathering data/making observations
(4)
Analyzing data
(6)
Interpreting results/data
(9)
Displaying/modeling results/data
(12)
Communicating results
(8)
Translating into mathematics
(1)
Assessment Type
(41)
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
(36)
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
(1)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(32)
Written assignment: Literature review
(0)
Pedagogical Approaches
(32)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(1)
Clicker Question
(0)
Collaborative Work
(1)
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
(29)
Vision and Change Core Competencies - Ability
(36)
Create and develop models
(31)
Use quantitative reasoning
(30)
Design simulations
(8)
Tap into interdisciplinary study
(9)
Communicate and collaborate with mathematics community
(2)
Communicate and collaborate with other disciplines
(2)
Understand the relationship between material and society
(0)
Principles of How People Learn
(40)
Motivates student to learn material
(38)
Focuses student on the material to be learned
(39)
Develops supportive community of learners
(1)
Leverages differences among learners
(0)
Reveals prior knowledge
(2)
Requires student to do the bulk of the work
(0)
Bloom's Cognitive Level
(40)
Foundational: factual knowledge & comprehension
(10)
Application & Analysis
(34)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(1)
Diversity
(0)
Equity
(1)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
General Resource
2102
views
1152
downloads
0
comments
Instructor Solutions for SIMIODE Textbook
This is a complete set of solutions for all projects, exercises, and reading exercises and is restricted to those registered as Instructors
Potential Scenario
117
views
73
downloads
0
comments
2015-Beckmann-Sanchez-Cache Calculus-Modeling Caches through Differential Equations
We present cache calculus, a technique that models cache behavior as a system of ordinary differential equations, letting standard calculus techniques find simple and accurate solutions of cache performance for common access patterns.
discrete
cache
cache calculus
Technique Narrative
835
views
110
downloads
0
comments
3-090-ChebyshevPolynomialSolution-TechniqueNarrative
The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.
series soluotion
polynomial solutions
Chebyshev polynomials
Chebyshev differential equations
Potential Scenario
139
views
41
downloads
0
comments
2003-Rasmussen-Keynes-Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations
The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of eigenvectors and corresponding solutions to systems of two first order linear ordinary differential equations with constant...
instructional design
eigenvalues
eigenvalue analysis
Potential Scenario
112
views
41
downloads
0
comments
2003-Bohren-Dimensional analysis-falling bodies--fine art of not solving differential equations
Dimensional analysis is a simple, physically transparent and intuitive method for obtaining approximate solutions to physics problems, especially in mechanics.
falling body
dimensional analysis
drag
Free Online Textbook
119
views
45
downloads
0
comments
2013-Marcel_Finan-A_Second_Course_in_Differential_Equations
Location: http://faculty.atu.edu/mfinan/nnotes.html . Accessed 9 March 2023. Here you will find a whole collection of differential equations texts:
differential equations
textbook
Potential Scenario
107
views
35
downloads
0
comments
2002-Faia-Differential Equation Modeling as a Source of Theoretical Insight-Four Disparate Examples
We explore differential equations involving alcoholism, social mobility, excess female mortality, and international arms competition.
sociology
arms races
accumulative advantage
alcoholism
Peter Principle
female mortality
population pressure
occupational mobility
social mobility
Richardson theory of war
Potential Scenario
207
views
51
downloads
0
comments
2011-Radouane_Yafia-A Study of Differential Equations Modeling Malignant Tumor Cells in Competition with Immune System
In this paper, we present a competition model of malignant tumor growth that includes the immune system response. The model considers two populations: immune system (effector cells) and population of tumor (tumor cells).
Immunology
tumor
hopf bifrucation
Potential Scenario
97
views
34
downloads
0
comments
2005-P_Howard-Modeling with ODE
In these notes we consider three critical aspects in the theory of ordinary differential equations: developing models of physical phenomena, mathematically well-posed, solving ODE numerically .
Fluid Mechanics
compartment
populations
variational methods
Hamiltonian mechanics
Modeling Scenario
301
views
407
downloads
0
comments
6-007-FunctionsAndDerivativesInSIRModels-ModelingScenario
Given a system of differential equations, how do the solution graphs compare with the graphs of the differential equations? Students tackle this question using SIR models for well-known infectious diseases.
epidemiology
species interactions
derivatives
visualization
infection
SIR models
Law of Mass Action
Technique Narrative
152
views
242
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
181
views
245
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
Potential Scenario
132
views
50
downloads
0
comments
2017-William_Bialek-Boxes and Arrows To Differential Equations
This material uses pictures to build kinetic models of reactions and then offers analytic solutions.
Michaelis-Menten
Enzyme
substrate
DNA\kinetis
Potential Scenario
97
views
44
downloads
0
comments
1987-Claude-Marmasse-Studies on differential equations of enzyme kinetics-Biomolecular scheme
The integral curve is compared with the solutions given by the two classical approximations to the problem: it is shown that the steady-state approximation is to be preferred to the rapid equilibrium theory as a general method.
steady-state model
isoclines
enzyme kinetics
Article or Presentation
130
views
33
downloads
0
comments
2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their...
exponential growth
solutions
linear systems
decay
conjecture
Technique Narrative
325
views
162
downloads
0
comments
1-003-IntroNumericalMethods-TechniqueNarrative
We develop elementary approaches to numerically solving first order differential equations with Euler's Method, Improved Euler's Method and develop these geometrically to compute numeric solutions and compare them to analytic solutions.
analytic solution
Euler's method
improved Euler's method
Modeling Scenario
177
views
184
downloads
0
comments
6-075-LorenzSystemSimulation-ModelingScenario
The Lorenz system is examined by students as a simple model of chaotic behavior or strange attractor. MATLAB code is created to find the numerical solutions of the Lorenz’ system of nonlinear ordinary differential equations using various parameters.
chaos
oscillator
Lorenz
waterwheel
strange attractor
bifurcation effect
Modeling Scenario
304
views
261
downloads
0
comments
9-005-InvasiveSpeciesModel-ModelingScenario
This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion.
Invasive Species
logistic
migration
traveling waves
dispersion
Potential Scenario
112
views
42
downloads
0
comments
2017-Adolfo_Rumbos-Differential Equations and modeling
The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a differential equation, or a system of differential...
pendulum
Lotka Volterra equations
existence
uniqueness
Potential Scenario
92
views
41
downloads
0
comments
1981-Geoffrey_Berresford-Differential Equations and Root Cellars
This is a classic module from UMAP in which the heat equation in one dimension is fully developed by using the standard technique of measuring the heat flow in and out of a small element of mass and equating them at equilibrium.
temperature
thermal conductivity
heat flow
thermal diffusivity
root cellar
Results 1 - 20 of 126
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
Next
End