## 3450:436/536 Mathematical Models

Spring 2014

Policy sheet

## Homework Sets

Homework 1, due Monday 27 January

Homework 1 for 536 students, due Monday 27 January

Homework 2, due Wednesday 12 February

Homework 3, due Monday 24 February

Homework 4, due Wednesday 5 March

Homework 5, due Wednesday 2 April

Homework 6, due Wednesday 9 April

Homework 7, due Wednesday 30 April

## Sundries

Hints for Homework 1 problem 4

Some comments on technical writing

Some examples of technical writing

Word file for technical writing examples

Overview of ODE solution techniques

### LaTeX materials

LaTeX tutorial (pdf output file)

LaTeX tutorial (tex source file)

tex source file for Homework 1

tex source file for Homework 2

tex source file for Homework 3

tex source file for Homework 4

### Early Examples

The Pendulum:

pendulum.m: MATLAB file

pend.pdf: Plots

Hours of Daylight:

hoursofdaylight.m: MATLAB file

hours.pdf: Plots

### Tools for ODEs Examples

Perturbations:

perturbation.m: MATLAB file y' = -y + epsilon*y^2

pert.pdf: Plots for y' = -y + epsilon*y^2

harvesting.m: MATLAB file for fish harvesting

harvest.pdf: Plots for fish harvesting

projectileperturbation.m: MATLAB file y'' + epsilon*y'+1 = 0

projpert.pdf: Plots for y'' + epsilon*y'+1 = 0

Epidemics:

simpleepidemic.m: MATLAB file for a simple epidemic

simple.pdf: Plots for a simple epidemic

generalepidemic.m: MATLAB file for a general epidemic

general.pdf: Plots for a general epidemic

recurringepidemic.m: MATLAB file for a recurring epidemic

recurring.pdf: Plots for a recurring epidemic

delayedepidemic.m: MATLAB file for a delayed epidemic

delayed.pdf: Plots for a delayed epidemic

phaserecur.pdf: Phase plot for a recurring epidemic

Phase Plane Diagrams:

Link to phase portrait tutorial

phase.pdf: Phase plots for the first examples

LSA.pdf: Phase plots for the linear stability analysis examples

Predator Prey Model:

predprey.pdf: Phase plots for the predator prey model

predatorprey1.m: MATLAB file for the predator prey model with exponential growth

predatorprey1.m: MATLAB file for the predator prey model with logistic growth

Probabilistic Models:

birthday.m: compute the probability of a duplicate birthday

weather.m: Markov chain for weather

markovpit.m: Markov chain for pitting corrosion

markovpit2.m: Markov chain for pitting corrosion, absorbing state version

whalefarm.m: probabilistic growth

reliability1.m: reliability of communication satellite

reliability2.m: find maximum allowable failure rate

queue.m: M/M/1 queue simulation

Hong_F.m: Hong's corrosion model, Poisson process

mcBuchheit.m: Monte Carlo corrosion model based loosely on Buchheit's model

traffic1.m: Position of a single car with variable speed