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
173
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(36)
Modeling Scenario
(16)
Technique Narrative
(0)
Potential Scenario
(16)
Article or Presentation
(1)
Free Online Textbook
(2)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(36)
ODE
(32)
PDE
(4)
Difference
(3)
Delay
(1)
Integral
(0)
First
(13)
Second
(9)
Higher
(1)
Linear
(11)
Nonlinear
(11)
System
(15)
Constant Coeff
(5)
Homogeneous
(4)
Nonhomogeneous
(4)
Other
(3)
Technique
(36)
Boundary Value Problems
(4)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(31)
Integrating Factor
(0)
Laplace Transform
(1)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(8)
Parameter Estimation
(10)
Qualitative Behavior
(4)
Separable
(4)
Separation of Variables
(1)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(4)
Qualitative Analysis
(36)
Equilibrium
(2)
Stability
(4)
Attractor
(0)
Phase Plane
(1)
Graphical analysis
(10)
Eigenvalue analysis
(2)
Parameters
(19)
Other
(12)
Application Area
(36)
Chemistry
(3)
Economics
(2)
Engineering
(9)
Humanities
(0)
Life Sciences
(16)
Mathematics
(16)
Modeling (general)
(29)
Physics
(14)
Social Sciences
(5)
Other
(0)
Course
(36)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(6)
Calculus 3 (multivariable)
(1)
Differential Equations
(35)
Modeling
(32)
Other
(1)
Course Level
(36)
Introductory
(34)
Upper Level
(32)
Graduate
(0)
High School
(19)
Other
(1)
Lesson Length
(36)
Portion of one class period
(4)
One class period
(11)
Multiple class periods
(4)
One term (semester or quarter)
(1)
One year
(0)
Other
(19)
Technology
(36)
Derive
(0)
Excel
(3)
GeoGebra
(0)
Maple
(0)
Mathematica
(4)
MathCad
(0)
MatLab
(3)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(1)
Calculator
(0)
None
(2)
Other
(26)
Approach
(36)
Directed
(0)
Flipped
(0)
Guided
(15)
Open-ended
(1)
Discussion
(0)
Develop model
(0)
Other
(20)
Skills
(36)
Data collection
(4)
Data analysis
(15)
Programming
(0)
Statistics
(1)
Other
(22)
Key Scientific Process Skills
(16)
Reading research papers
(0)
Reviewing prior research
(2)
Asking a question
(16)
Formulating hypotheses
(14)
Designing/conducting experiments
(4)
Predicting outcomes
(4)
Gathering data/making observations
(3)
Analyzing data
(4)
Interpreting results/data
(4)
Displaying/modeling results/data
(4)
Communicating results
(3)
Translating into mathematics
(0)
Assessment Type
(16)
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
(16)
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
(15)
Written assignment: Literature review
(0)
Pedagogical Approaches
(15)
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
(15)
Vision and Change Core Competencies - Ability
(16)
Create and develop models
(16)
Use quantitative reasoning
(15)
Design simulations
(5)
Tap into interdisciplinary study
(2)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(2)
Understand the relationship between material and society
(0)
Principles of How People Learn
(16)
Motivates student to learn material
(16)
Focuses student on the material to be learned
(12)
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
(15)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(15)
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
Modeling Scenario
238
views
120
downloads
0
comments
6-012-RiverCrossing-ModelingScenario
Students develop a model of a river crossing in a boat with thrust using Newton's Second Law of Motion from a Free Body Diagram they construct. The model is thence a system of one second order linear and a second order nonlinear differential...
dragon
Newton's Second Law of Motion
river crossin
river current
velocity profile
thrust
Free Body Diagram
Modeling Scenario
470
views
255
downloads
0
comments
1-050-BargingAhead-ModelingScenario
As captain of a barge, you need to determine how fast to transport your barge up river against the current in order to minimize the expended energy.
optimization
kinetics
energy
trophic efficiency
work
river
terminal velocity
friction
current
force
barge
worlk
speed
Potential Scenario
130
views
50
downloads
0
comments
2011-Kenny_Harwood-Modeling a RLC Circuit Current with Differential Equations
This paper gives an abbreviated description of the photovaltaic effect (solar power production process) and then a RLC circuit will be modeled that is powered by a photovaltaic panel.
tuning
frequency response
LC circuit
RLC
Modeling Scenario
241
views
232
downloads
0
comments
1-077-RLMSimSeriesCircuit-ModelingScenario
In this validation setup, the first order linear ordinary differential equation governing a small signal RL series AC circuit is solved analytically and the results are compared with the data acquired from analyzing the numerical model (using...
Measurement
circuit
voltage
current
validation
SPICE
RL circuit
Multilsim
Modeling Scenario
296
views
226
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
Potential Scenario
188
views
58
downloads
0
comments
2006-Graves-Peckham-Pastor-2D differential equations model for mutualism
We develop from basic principles a two-species differential equations model which exhibits mutualistic population interactions.
population dynamics
Lotka-Volterra
growth rate
mutualism
Lichen
Potential Scenario
110
views
35
downloads
0
comments
2006-Chaachoua-Saglam-Modelling by differential equations
This paper aims to show the close relation between physics and mathematics taking into account especially the theory of differential equations.
history
seventeenth century
Modeling Scenario
248
views
148
downloads
0
comments
3-075-RLCCircuits-ModelingScenario
We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.
resistance
circuit
voltage
inductance
capacitance
current
Kirchhoff's Law
Modeling Scenario
207
views
265
downloads
0
comments
9-015-UnearthingTruth-ModelingScenario
This project introduces \textit{electrical resistivity tomography}, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical current.
geophysical
Imaging
Statistical inverse problem
tunnel
conduction
Holocaust
Vilnius
Divergence Theorem
flux
Laplace's equation
impedance
electrical resistivity tomography
tomography
resistivity
Modeling Scenario
219
views
228
downloads
0
comments
1-116-TropicalStormWindspeeds-ModelingScenario
We model the decay of tropical cyclone winds once a storm makes landfall. We use data from two recent storms from the National Hurricane Center to estimate parameters emanating from a differential equation using a first order exponential decay model.
hurricane
decay
tropical storm
cyclones
Potential Scenario
265
views
41
downloads
0
comments
2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological processes.
protein quality control
kinetics
Cells
steady state
chemical kinetics
fluouresence
photoactivation
inytracellular
General Resource
169
views
42
downloads
0
comments
2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,
biology
Mathematical Biology
textbook
text
Modeling Scenario
265
views
330
downloads
0
comments
1-165-FlushToilet-ModelingScenario
This activity analyzes the spread of a technological innovation using the Bass Model from Economics. The equation is a first-order, two-parameter separable equation and the solution has a characteristic S-shaped curve or sigmoid curve.
julia
Diffusion
innovation
rate of innovation
Bass model
Solver
Article or Presentation
133
views
36
downloads
0
comments
2015-Technology_and_the_Mathematics_Curriculum-CUPM_Curriculum_Guide_to_Majors_in_the_Mathematical _Sciences
What role should technology play in teaching and learning undergraduate mathematics? This issue is addressed.
classroom
curriculum
technology
CUPM
Modeling Scenario
513
views
363
downloads
0
comments
1-034-T-FishMixing-ModelingScenario
This activity gives students a chance to build the underlying differential equation and/or difference equation for a mixing problem using tangible objects (fish) and a student-designed restocking and fishing plan in a lake.
simulation
fish
Fishing
mixing
restocking
Potential Scenario
174
views
77
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
105
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
Potential Scenario
159
views
39
downloads
0
comments
2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge
We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.
Individual & Agent Based Modeling
predator-prey
think-pair-shares
lynx
refuge
prey switching
Mustela-Clethrionomys system
patter oriented
Potential Scenario
173
views
48
downloads
0
comments
2004-Mitchell-von Meien-Krieger-Dalsenter-A review of recent developments in modeling of microbial growth kinetics
Mathematical models are important tools for optimizing the design and operation of solid-state fermentation (SSF) bioreactors. Such models must describe the kinetics of microbial growth.
Filamentous Fungi
solid-state fermentation
growth kinetics
diffusion-reaction
oxygen transfer
Modeling Scenario
229
views
199
downloads
0
comments
1-060-SalesMarketing-ModelingScenario
We lead students through a sales forecasting model based on marketing principles first espoused by F. M. Bass with definitions, assumptions, equations, and data on sales over 15 year periods against which models may be tested.
marketing
Bass model
sales
consumer products
innovators
imitators
Results 1 - 20 of 36
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
Next
End