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
(50)
Modeling Scenario
(13)
Technique Narrative
(1)
Potential Scenario
(27)
Article or Presentation
(3)
Free Online Textbook
(5)
General Resource
(1)
Sample Syllabus
(0)
Assessment Rubric or Guide
(0)
SCUDEM
(0)
EXPO
(0)
Differential Equation Type
(50)
ODE
(45)
PDE
(5)
Difference
(4)
Delay
(0)
Integral
(0)
First
(20)
Second
(6)
Higher
(1)
Linear
(11)
Nonlinear
(13)
System
(22)
Constant Coeff
(5)
Homogeneous
(6)
Nonhomogeneous
(3)
Other
(4)
Technique
(50)
Boundary Value Problems
(7)
Eigen Methods
(0)
Exact Equations
(0)
Fourier Series
(0)
Initial Value Problems
(35)
Integrating Factor
(2)
Laplace Transform
(1)
Linear Algebra
(2)
Matrices
(1)
Numerical Methods
(8)
Parameter Estimation
(17)
Qualitative Behavior
(6)
Separable
(0)
Separation of Variables
(2)
Series
(0)
Substitution Methods
(1)
Theory (general)
(0)
Undetermined Coefficients
(0)
Variation of Parameters
(0)
Other
(6)
Qualitative Analysis
(50)
Equilibrium
(8)
Stability
(7)
Attractor
(0)
Phase Plane
(2)
Graphical analysis
(10)
Eigenvalue analysis
(1)
Parameters
(27)
Other
(16)
Application Area
(50)
Chemistry
(6)
Economics
(6)
Engineering
(3)
Humanities
(1)
Life Sciences
(28)
Mathematics
(34)
Modeling (general)
(41)
Physics
(7)
Social Sciences
(6)
Other
(0)
Course
(50)
Precalculus
(0)
Calculus 1
(2)
Calculus 2
(7)
Calculus 3 (multivariable)
(0)
Differential Equations
(47)
Modeling
(50)
Other
(1)
Course Level
(56)
Introductory
(52)
Upper Level
(50)
Graduate
(1)
High School
(20)
Other
(2)
Lesson Length
(50)
Portion of one class period
(4)
One class period
(8)
Multiple class periods
(4)
One term (semester or quarter)
(2)
One year
(0)
Other
(35)
Technology
(50)
Derive
(0)
Excel
(0)
GeoGebra
(0)
Maple
(2)
Mathematica
(3)
MathCad
(0)
MatLab
(5)
Octave
(0)
Python
(0)
R
(0)
SAGE
(0)
Desmos
(0)
Calculator
(0)
None
(3)
Other
(37)
Approach
(50)
Directed
(5)
Flipped
(0)
Guided
(10)
Open-ended
(0)
Discussion
(0)
Develop model
(1)
Other
(36)
Skills
(50)
Data collection
(6)
Data analysis
(17)
Programming
(0)
Statistics
(3)
Other
(33)
Key Scientific Process Skills
(14)
Reading research papers
(0)
Reviewing prior research
(2)
Asking a question
(12)
Formulating hypotheses
(10)
Designing/conducting experiments
(2)
Predicting outcomes
(3)
Gathering data/making observations
(5)
Analyzing data
(6)
Interpreting results/data
(6)
Displaying/modeling results/data
(6)
Communicating results
(4)
Translating into mathematics
(0)
Assessment Type
(14)
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
(13)
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
(13)
Written assignment: Literature review
(0)
Pedagogical Approaches
(12)
Think-Pair-Share
(0)
Brainstorming
(0)
Case Study
(1)
Clicker Question
(0)
Collaborative Work
(0)
One Minute Paper
(0)
Reflective Writing
(0)
Concept Maps
(0)
Strip Sequence
(0)
Computer Model
(2)
Physical Model
(1)
Interactive Lecture
(0)
Pre/Post Question
(0)
Guided inquiry/investigation
(9)
Vision and Change Core Competencies - Ability
(14)
Create and develop models
(14)
Use quantitative reasoning
(11)
Design simulations
(1)
Tap into interdisciplinary study
(4)
Communicate and collaborate with mathematics community
(1)
Communicate and collaborate with other disciplines
(3)
Understand the relationship between material and society
(0)
Principles of How People Learn
(13)
Motivates student to learn material
(13)
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
(12)
Foundational: factual knowledge & comprehension
(2)
Application & Analysis
(10)
Synthesis/Evaluation/Creation
(1)
Includes clear efforts on Issues
(0)
Diversity
(0)
Equity
(0)
Inclusion
(0)
Enhancement of all
(0)
Applied Filters
Downloads
Views
Date
Relevance
Potential Scenario
155
views
95
downloads
0
comments
2002-Ragnar-Norberg-Basic Life Insurance Mathematics
Presents fundamentals of life insurance, mortality, savings, banks, finance, reserves, pensions, stochastic processes.
finance
stochastic processes
savings
life insurance
banks
reserves
pensions
mortality
Modeling Scenario
284
views
214
downloads
0
comments
1-108-PoissonProcess-ModelingScenario
In this project students learn to derive the probability density function (pdf) of the Poisson distribution and the cumulative distribution (cdf) of the waiting time. They will use them to solve problems in stochastic processes.
Probability
s
stochastic processes
Poisson process
waiting time
arrival
Modeling Scenario
306
views
232
downloads
0
comments
1-027-StochasticProcesses-ModelingScenario
We build the infinite set of first order differential equations for modeling a stochastic process, the so-called birth and death equations. We will only need to use integrating factor solution strategy or DSolve in Mathematica for success.
Variance
Mean
stochastic
random
operations research
industrial engineering
Poisson process
traffic
Potential Scenario
126
views
57
downloads
0
comments
2007-Choisy-Guégan-Rohani-Mathematical Modeling of Infectious Diseases Dynamics
After presenting general notions of mathematical modeling (Section 22.2) and the nature of epidemiological data available to the modeler (Section 22.3), we detail the very basic SIR epidemiological model (Section 22.5).
stochastic
SIR model
deterministic
incubation
infectives
Modeling Scenario
240
views
49
downloads
0
comments
1-141-MMGameRevisited-ModelingScenario
It is assumed that the probability of an M&M chocolate, when tossed, falling on the M side is 0.5 The goal is to find a probability distribution of the probability q which is Pr(randomly chosen M&M falling M up when tossed).
Probability
stochastic processes
Bayesian methods
probability distribution
General Resource
200
views
46
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
Technique Narrative
373
views
197
downloads
0
comments
1-030-RandomPerturbation-TechniqueNarrative
After a brief historical view of this problem, we will demonstrate the derivation of first order linear differential equations with random perturbations.
random perturbation
Brownian motion
Langevin equation
Riemann-Steiltjes integral
Wiener process
Ito's calculus
Free Online Textbook
464
views
95
downloads
0
comments
2012-Brian_Ingalls-Mathematical Modelling in Systems Biology An Introduction
This is a comprehensive text with much biology background to motivate the mathematical modeling, exercises and answers, and many rich examples.
spatial
sensitivity analysis
gene regulatory networks
stochastic
bifurcation
metabolic networks
electrophysiology
transduction
rate laws
biochemical reactions
Modeling Scenario
453
views
180
downloads
0
comments
1-039-StochasticPopModels-ModelingScenario
We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is in state (or population size) n at time t.
Probability
population dynamics
Variance
Mean
stochastic
deterministic
Potential Scenario
151
views
53
downloads
0
comments
2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.
infection
compartment
hospital
ventilation
airborne
sthochastic
Wells–Riley
Potential Scenario
144
views
54
downloads
0
comments
2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using various optimization techniques including optimal...
optimal control
sustainable yield
maximum sustainable yield
harvest
Expected Net Present Value
calculus of variations
dynamic programming
maximum economic yield
Modeling Scenario
399
views
153
downloads
0
comments
1-001s-StochasticMDeathImmigration-ModelingScenario
We develop a mathematical model of a death and immigration process using m&ms as a stochastic process with the help of probability generating functions (pgf). We start with 50 m&ms in a bag.
simulation
data
logistic
immigration
stochastic
death
fitting
Potential Scenario
130
views
46
downloads
0
comments
1986-Cook-Witten-One-dimensional linear and logistic harvesting models
Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.
logistic
continuous
population
linear
discrete
harvestinbg
Potential Scenario
163
views
50
downloads
0
comments
2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.
biochemical
kinetics
reaction
reaction network
mass action
Potential Scenario
154
views
62
downloads
0
comments
2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the contract holder.
finance
disability
life insurance
mortality
insurane
Thiele’s equation
Black-Scholes equation
Article or Presentation
173
views
52
downloads
0
comments
2010-Kar-Chakraborty-Bioeconomic_modelling_of_a_prey_predator_system_using_differential_algebraic_equations
We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response.
economics
bifurcation
harvest
fishery
equilibrium
differential algebraic equation
Potential Scenario
182
views
80
downloads
0
comments
2011-Nakul-Chitnis-Introduction to Mathematical Epidemiology - Deterministic Compartmental Model
Deterministic compartmental models form the simplest models in the mathematical study of infectious disease dynamics. They assume that a population is homogenous (all people are the same) and the only distinction is in their disease state.
sensitivity
disease
infection
threshold
compartment
bifrucation
Free Online Textbook
210
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
Potential Scenario
211
views
26
downloads
0
comments
2014-John_Cain-Chemical Reaction Kinetics Mathematical Underpinnings
The usual way of deriving kinetic equations involves application of the principle of conservation of mass in conjunction with the law of mass action. Here, examples of kinetic models for several basic processes are discussed.
kinetics
biochemical reaction
reactants
products
Potential Scenario
229
views
57
downloads
0
comments
2009-Schaffer-Bronnikova-Controlling malaria
The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.
epidemiology
malaria
bifurcation
mosquito
transgenic mosquitoes
Results 1 - 20 of 50
Display #
5
10
15
20
25
30
50
100
500
1000
Start
Prev
1
2
3
Next
End