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
224
Announcements
2
Blog
34
Calendar
Collections
Forum
1
Projects
Resources
Usage
Resources
Filter
Text Search:
Resource Type
(16)
Modeling Scenario
(5)
Technique Narrative
(1)
Potential Scenario
(6)
Article or Presentation
(0)
Free Online Textbook
(3)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(16)
ODE
(14)
PDE
(3)
Difference
(2)
Delay
(0)
Integral
(0)
First
(9)
Second
(1)
Higher
(1)
Linear
(2)
Nonlinear
(8)
System
(6)
Constant Coeff
(1)
Homogeneous
(3)
Nonhomogeneous
(1)
Other
(2)
Technique
(16)
Boundary Value Problems
(1)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(12)
Integrating Factor
(0)
Laplace Transform
(0)
Linear Algebra
(1)
Matrices
(0)
Numerical Methods
(1)
Parameter Estimation
(3)
Qualitative Behavior
(1)
Separable
(0)
Separation of Variables
(1)
Series
(0)
Substitution Methods
(0)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(4)
Qualitative Analysis
(16)
Equilibrium
(3)
Stability
(4)
Attractor
(0)
Phase Plane
(4)
Graphical analysis
(5)
Eigenvalue analysis
(0)
Parameters
(9)
Other
(4)
Application Area
(16)
Chemistry
(3)
Economics
(3)
Engineering
(0)
Humanities
(0)
Life Sciences
(15)
Mathematics
(9)
Modeling (general)
(13)
Physics
(2)
Social Sciences
(0)
Other
(0)
Course
(16)
Precalculus
(0)
Calculus 1
(1)
Calculus 2
(3)
Calculus 3 (multivariable)
(1)
Differential Equations
(16)
Modeling
(15)
Other
(0)
Course Level
(18)
Introductory
(17)
Upper Level
(16)
Graduate
(0)
High School
(5)
Other
(1)
Lesson Length
(16)
Portion of one class period
(0)
One class period
(4)
Multiple class periods
(2)
One term (semester or quarter)
(1)
One year
(0)
Other
(9)
Technology
(16)
Derive
(0)
Excel
(2)
GeoGebra
(0)
Maple
(1)
Mathematica
(1)
MathCad
(0)
MatLab
(2)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(0)
Other
(12)
Approach
(16)
Directed
(0)
Flipped
(0)
Guided
(6)
Open-ended
(0)
Discussion
(0)
Develop model
(0)
Other
(10)
Skills
(16)
Data collection
(1)
Data analysis
(6)
Programming
(0)
Statistics
(1)
Other
(10)
Key Scientific Process Skills
(6)
Reading research papers
(0)
Reviewing prior research
(2)
Asking a question
(6)
Formulating hypotheses
(6)
Designing/conducting experiments
(2)
Predicting outcomes
(3)
Gathering data/making observations
(2)
Analyzing data
(2)
Interpreting results/data
(2)
Displaying/modeling results/data
(1)
Communicating results
(1)
Translating into mathematics
(0)
Assessment Type
(6)
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
(6)
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
(5)
Written assignment: Literature review
(0)
Pedagogical Approaches
(6)
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
(6)
Vision and Change Core Competencies - Ability
(6)
Create and develop models
(5)
Use quantitative reasoning
(5)
Design simulations
(0)
Tap into interdisciplinary study
(2)
Communicate and collaborate with mathematics community
(0)
Communicate and collaborate with other disciplines
(1)
Understand the relationship between material and society
(0)
Principles of How People Learn
(6)
Motivates student to learn material
(6)
Focuses student on the material to be learned
(6)
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
(5)
Foundational: factual knowledge & comprehension
(0)
Application & Analysis
(5)
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
General Resource
201
views
48
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
Free Online Textbook
163
views
58
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
180
views
75
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
Modeling Scenario
243
views
449
downloads
0
comments
6-026-IsleRoyaleModeling-ModelingScenario
The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.
ecology
optimization
predator-prey
population
vector calculus
Lagrange multipliers
least squares
Islel Royale
Potential Scenario
216
views
84
downloads
0
comments
2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population
In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.
population dynamics
Logistic model
Malthus Model
Population Prediction Control
Potential Scenario
183
views
52
downloads
0
comments
1997-Bonnie_Shulman-Using Original Sources to Teach the Logistic Equation
This Module uses original data, diagrams, and texts from three original sources to develop the logistic model of growth in natural systems with limited resources.
logistic
original source
Modeling Scenario
275
views
135
downloads
0
comments
1-143-PopulationModelVariationsMATLAB-ModelingScenario
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models.
population dynamics
ecology
logistic growth
bifurcation theory
slope fields
extinction
harvesting
qualitative analysis
stocking
Potential Scenario
174
views
45
downloads
0
comments
2017-Helen-Byrne-Further Mathematics Biology
These studies will be in the context of ecological, biological and biochemical applications.
epidemics
chemotaxis
enzyme-substrate
ion channels
nerve pulses
gene proagation
tumour
Modeling Scenario
221
views
292
downloads
0
comments
1-137-SheepGraze-ModelingScenario
In this activity, students will apply graphical analysis (such as phase lines) to determine the long-term predictions of a differential equation model for pasture grass using two different formulas for the herbivore consumption rate.
herbivore
plant
phase lines
bifurcation
overexploitation
sheep
graze
Modeling Scenario
309
views
404
downloads
0
comments
1-139-PlantsVsHerbivores-ModeliongScenario
In this activity, students will apply a variety of techniques for analyzing nonlinear systems (e.g., nullclines, linearization, and technologies for drawing phase portraits) to study plant-herbivore models.
ecology
nullclines
herbivore
plant-herbivore interactions
plant
linearization
Modeling Scenario
295
views
586
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
Free Online Textbook
210
views
79
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
140
views
55
downloads
0
comments
2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide quantitative modeling and inference.
infectious disease
p
Vector-Borne Disease
lague
plague
Potential Scenario
196
views
56
downloads
0
comments
2006-Michelle_LeMasurier-Nonstandard Topics for Student Presentations in Differential Equations
An interesting and effective way to showcase the wide variety of fields to which differential equations can be applied is to have students give short oral presentations on a specific application.
Presentation
student presentation
Technique Narrative
382
views
211
downloads
0
comments
1-009-Bifurcation-TechniqueNarrative
We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as these parameters vary.
bifurcation
qualitative behavior
bifurcation diagram
Free Online Textbook
211
views
83
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
Results 1 - 16 of 16
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
Next
End