Math 442 Schedule


Date
Sections
Homework
Other readings
Programs
Homework answer
1/20(R)
5.3

Monty Hall problem   Boy or Girl paradox    Probability handout

1/25(T)
5.3
Homework 1: page 318 (1,5) page 325(2,3,7) due 1/28
binomial distribution   Poisson distribution  Normal Distribution
Power law  scale-free network
Binomial dis  Poisson dis Normal dis
enviromental stochasticity demographic stochasticity
Matlab answer: 1 2 3 4
HW1 solution
1/27(R)
5.4

Markov process  Markov chain  random walk  Brownian motion
Vasseur-Fox, Nature 2008     Wood, Nature 2010
Perron–Frobenius Theorem
random walk  random walk 2d random walk 3d Brownian motion
eigenvalue of rental car problem

2/1(T)
4.1
Homework 2: page 214 (2,5), page 219(2,3), due 2/4
basis  orthogonality  orthonormal basis  Gram-Schmidt procedure
Fourier series   Wavelet  Haar wavelet
Fourier series: f(x)=x sine series, cosine series
f(x)=tent function sine series, cosine series
Maple answer: 1 2 3 4
HW2 solution
2/3(R)
4.1

Joseph Fourier Chinese New Year


2/8(T)
4.2
Homwork 3: page 225(2,5), page 243(2,4c,7), due 2/11 Joseph Liouville

Maple/Matlab: 1 2 3
HW3 p1 p2 p3
2/10(R)
4.3

Vito Volterra  Volterra integral equation
Ivar Fredholm  Fredholm integral equation  


2/15(T)
4.3
Homework 4: page 244 (8,10,15,18,24,26), due 2/18


HW4 p1 p2 p3
2/17(R)
4.3





2/22(T)
4.4
Homework 5: page 257 (4,8)  two other see midterm exam 1 due 2/25
George Green  (wiki)

HW5 solution
2/24(R)
6.1

Paul Dirac  (wiki) Laurent Schwartz (wiki) Distribution

3/1(T)
6.1

cellular automata  Game of Life  John Conway  Stephen Wolfram
Self-organization Reaction-diffusion quasispecies model
Diffusion with a point source
3/3(R)
6.2
Midterm exam 1
Diffusion Molecular diffusion  diffusion coefficient
Fick's law Fourier's law heat equation Laplace operator Divergence

Test 1: 1  2  3
3/5-3/13
Spring Break

Si function   trigonometric integrals


Date
Sections
Homework
Other readings
Programs
Homework Answers
3/15(T)
6.2
Homework 6: page 365 (1), page 372 (5), page 381(1b,1c),
and convert Laplace equation to 3D spherical coordinates.


a solution for spherical Laplace
Another one
3/17(R)
6.3

Hearing the shape of a drum

3/22(T)
6.4
Homework 7:  page 365(2), page 372 (6), Page 382 (2),
(1) Use matlab pdetool to solve first 5 eigenvalues of Laplace operator with
Dirichlet BC on an equilateral triangle with vertices (-1,0), (1,0) and (1.732,0)
Identify and sketch the nodal regions of eigenfunctions.
Possion's equation Laplace equation
Matlab pdetool
HW6: solution
3/24(R)
6.5

Laplace in 3D
spherical harmonics


3/29(T)
6.5
Homework 8: page 395 (1,2,4,6a,7)


HW7: 1 2 3 4
3/31(R)
6.5

Laplace transform Fourier Transform
Laplace tranform of Heviside Function
Laplace transform
convolution

4/5(T)
7.1
Homework 9: page 429 (3b,3c,4), page 433(1,2)
Fisher's equation  Schrodinger's equation


4/7(R)
7.2


first order PDE

4/12(T)
7.3
Homework 10: page 452 (2a,2g,3,9)
wave  sine wave 

HW8: solution
4/14(R)
7.4

KdV equation Soliton  Sine-Gordon equation breather


4/19(T)
No class

Airy function 


4/21(R)
7.4
Midterm exam 2 wave equation

4/26(T)
Presentation
Patrick King, Allison Corish



4/28(R)
Presentation
Cayla Wallwork, Yuan Zhou, Kevin Ji



Two-lane traffic-flow model paper (PRE 2010)

Red blood cell model paper (Chaos 2009)

Cellular Automata approach of biological models (JMB 1993)

Integral Equation Models for Endemic Infectious Diseases (JTB 1980)

Tsunami and wave equation:  Tsunami and water wave equations (JDDE 2006)
    A talk by Walter Craig
    Another paper

Eiganvlues of Laplace on a L-shaped domain
a link    Review paper (SIAM 1984)  For equilateral triangle (SIAM 1980)  a REU work

From Cleve Moler (creater of Matlab) Matlab logo