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
128
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(195)
Modeling Scenario
(66)
Technique Narrative
(1)
Potential Scenario
(111)
Article or Presentation
(11)
Free Online Textbook
(5)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(195)
ODE
(178)
PDE
(13)
Difference
(19)
Delay
(10)
Integral
(1)
First
(89)
Second
(6)
Higher
(1)
Linear
(30)
Nonlinear
(96)
System
(74)
Constant Coeff
(7)
Homogeneous
(23)
Nonhomogeneous
(12)
Other
(6)
Technique
(195)
Boundary Value Problems
(20)
Eigen Methods
(1)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(152)
Integrating Factor
(7)
Laplace Transform
(0)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(26)
Parameter Estimation
(68)
Qualitative Behavior
(19)
Separable
(14)
Separation of Variables
(20)
Series
(0)
Substitution Methods
(1)
Theory (general)
(1)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(16)
Qualitative Analysis
(195)
Equilibrium
(39)
Stability
(33)
Attractor
(1)
Phase Plane
(17)
Graphical analysis
(56)
Eigenvalue analysis
(0)
Parameters
(130)
Other
(32)
Application Area
(195)
Chemistry
(7)
Economics
(22)
Engineering
(4)
Humanities
(2)
Life Sciences
(136)
Mathematics
(114)
Modeling (general)
(145)
Physics
(16)
Social Sciences
(37)
Other
(0)
Course
(195)
Precalculus
(3)
Calculus 1
(4)
Calculus 2
(46)
Calculus 3 (multivariable)
(3)
Differential Equations
(185)
Modeling
(184)
Other
(3)
Course Level
(195)
Introductory
(187)
Upper Level
(179)
Graduate
(2)
High School
(80)
Other
(4)
Lesson Length
(195)
Portion of one class period
(35)
One class period
(29)
Multiple class periods
(11)
One term (semester or quarter)
(4)
One year
(0)
Other
(125)
Technology
(195)
Derive
(0)
Excel
(22)
GeoGebra
(2)
Maple
(5)
Mathematica
(20)
MathCad
(0)
MatLab
(16)
Octave
(1)
Python
(1)
R
(1)
SAGE
(0)
Desmos
(1)
Calculator
(0)
None
(13)
Other
(131)
Approach
(195)
Directed
(3)
Flipped
(0)
Guided
(64)
Open-ended
(3)
Discussion
(1)
Develop model
(1)
Other
(128)
Skills
(195)
Data collection
(20)
Data analysis
(81)
Programming
(2)
Statistics
(6)
Other
(109)
Key Scientific Process Skills
(67)
Reading research papers
(0)
Reviewing prior research
(5)
Asking a question
(64)
Formulating hypotheses
(57)
Designing/conducting experiments
(9)
Predicting outcomes
(19)
Gathering data/making observations
(17)
Analyzing data
(26)
Interpreting results/data
(28)
Displaying/modeling results/data
(27)
Communicating results
(21)
Translating into mathematics
(1)
Assessment Type
(66)
Assessment of individual student performance
(1)
Assessment of student groups/teams
(1)
Assignment
(0)
Exam/quiz, in class
(0)
Exam/quiz, take home
(0)
Homework
(60)
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
(1)
Written assignment: Figure and or figure legend
(0)
Written assignment: Report
(62)
Written assignment: Literature review
(0)
Pedagogical Approaches
(57)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(2)
Clicker Question
(0)
Collaborative Work
(2)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(0)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(53)
Vision and Change Core Competencies - Ability
(66)
Create and develop models
(62)
Use quantitative reasoning
(63)
Design simulations
(9)
Tap into interdisciplinary study
(11)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(4)
Understand the relationship between material and society
(0)
Principles of How People Learn
(67)
Motivates student to learn material
(64)
Focuses student on the material to be learned
(64)
Develops supportive community of learners
(2)
Leverages differences among learners
(1)
Reveals prior knowledge
(1)
Requires student to do the bulk of the work
(1)
Bloom's Cognitive Level
(57)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(57)
Synthesis/Evaluation/Creation
(0)
Includes clear efforts on Issues
(2)
Diversity
(1)
Equity
(2)
Inclusion
(1)
Enhancement of all
(1)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
130
views
68
downloads
0
comments
2001-Cheng-Teaching mathematical modelling in Singapore schools
The purpose of this paper is to examine the possibility of introducing the teaching of mathematical modelling to the secondary school curriculum in Singapore.
teaching
logistic
secondary school mathematics
Barnacle Geese
Singapore
Potential Scenario
155
views
74
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
154
views
45
downloads
0
comments
2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.
population dynamics
logistic
Inquiry-based modeling
IBL
Modeling Scenario
248
views
416
downloads
0
comments
10-100-InsectOutbreaks-ModelingScenario
We use a system of difference equations that incorporates a temperature-dependent MPB population growth rate to model the outbreak and recovery cycle in mountain pine beetle-infested forests.
ecology
climate change
insect
insect outbreaks
insect outbreak
solitary wave
Modeling Scenario
199
views
223
downloads
0
comments
1-081-TumorGrowth-ModelingScenario
Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor growth.
logistic
population
tumor
Gompertz
Free Online Textbook
105
views
35
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
110
views
35
downloads
0
comments
2011-Teleken-EtAl-Mathematical modeling of microbial growth in milk
A mathematical model to predict microbial growth in milk was developed and analyzed. The model consists of a system of two differential equations of first order. The equations are based on physical hypotheses of population growth.
bacteria
dairy
milk
food safety
microbilogy
Article or Presentation
203
views
49
downloads
0
comments
2011-Lorelei_Koss-Sustainability_in_a_differential_equations_course_case_study_of_Easter_Island
Easter Island is a fascinating example of resource depletion and population collapse, and its relatively short period of human habitation combined with its isolation lends itself well to investigation by students in an ordinary differential course.
differential equations
sustainability
population
Easter Island
collapse
environmental collapse
Modeling Scenario
269
views
241
downloads
0
comments
1-021-FeralCatControl-ModelingScenario
Students act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of trap-neuter-return (TNR) as a control method for feral cat...
population growth
control
feral cats
population control
neuter
trap-kill
trap-neuter-return
Modeling Scenario
249
views
29
downloads
0
comments
1-018-LogisticPopModel-ModelingScenario
We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining the validity of the logistic model in these...
data analysis
parameter estimation
logistic
Ciliate protozoa
population
limited growth
paramecia
Gause
Potential Scenario
191
views
39
downloads
0
comments
2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous mathematical terms, to solve (with the aid of computers).
population growth rate
logistic equation
Verhulst equation
generation time
lag time
Modeling Scenario
1088
views
3961
downloads
0
comments
1-038-Ebola-ModelingScenario
Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the modeling process to the logistic growth model.
population dynamics
data analysis
exponential growth
Ebola
logistic
epidemic
Potential Scenario
106
views
41
downloads
0
comments
2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra
The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.
fisheries
Euler's method
nonlinear
logistic harvesting
canabalism
salmon
Potential Scenario
172
views
65
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
187
views
81
downloads
0
comments
1-119-DairyFarming-ModelingScenario
A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This ratio is not immediately intuitive.
population dynamics
dairy
farmers' markets
growth
cow
Modeling Scenario
304
views
1152
downloads
0
comments
6-025-WhalesAndKrill-ModelingScenario
Students will use Excel to observe qualitative behavior in a simulation of a predator-prey model, with blue whales and krill as the predator and prey populations, respectively.
krill
whale
predatpr-prey
Potential Scenario
191
views
49
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
Modeling Scenario
1083
views
1219
downloads
0
comments
1-070-FisheryHarvest-ModelingScenario
Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At each stage we ask students to reflect on the model.
logistic
Diffusion
management
harvest
fishery
Modeling Scenario
399
views
134
downloads
0
comments
1-087-ThanosPopulationDynamics-ModelingScenario
In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species?
logistic
exponential
population
Thanos
Modeling Scenario
321
views
222
downloads
0
comments
1-024-MalariaControl-ModelingScenario
This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.
population dynamics
malaria
Policy
Decision-making
Euler's method
pharmacokinetics
mosquito
improved Euler's method
Huen's method
US Army
Results 21 - 40 of 195
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
4
5
6
7
Next
End