Math 442 Schedule

Date	Sections	Homework	Other readings	Programs	Homework answer
1/21(R)	5.3		Monty Hall problem Boy or Girl paradox Probability handout
1/26(T)	5.3	Homework 1: page 318 (1,5) page 325(2,3,7) due 2/2	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
1/28(R)	5.4		Markov process Markov chain random walk Brownian motion	random walk random walk 2d random walk 3d Brownian motion
2/2(T)	4.1	Homework 2: page 214 (2,5), page 219(2,3), due 2/9	basis orthogonality orthonormal basis 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
2/4(R)	4.1		Joseph Fourier
2/9(T)	4.2	Homwork 3: page 225(4,5), page 243(2,4c,7), due 2/18	Joseph Liouville		Maple/Matlab: 1 2 3 HW3 p1 p2 p3
2/11(R)	4.3		Vito Volterra Volterra integral equation Ivar Fredholm Fredholm integral equation
2/16(T)	4.3	Homework 4: page 244 (8,9,15,18,24, and (18 or 26)), due 2/25			HW4 p1 p2
2/18(R)	4.3
2/23(T)	4.4	Homework 5: page 257 (2,8) page 267 (5a,8,11)	George Green  (wiki)		HW5 p1 p2 p3
2/25(R)	4.5		Paul Dirac  (wiki) Laurent Schwartz (wiki) Distribution
3/2(T)	4.5
3/4(R)	Matcont	Midterm exam 1	TUTORIAL I TUTORIAL II (more)	Matcont	Test 1: 1 2 3
3/6-3/14	Spring Break

Date	Sections	Homework	Other readings	Programs	Homework Answers
3/16(T)	6.1		Fick's law Fourier's law
3/18(R)	6.2		heat equation
3/23(T)	6.2, 6.3	Homework 6: page 345(2e), page 365 (1,2,10), page 372(5,6)	Possion's equation Laplace equation	Matlab pdetool	HW6: 1 2
3/25(R)	6.3		spherical harmonics
3/30(T)	6.4	Homework 7: page 381(1b,1c,2), page 396(2,4,6a,7)			HW7: 1 2 3 4
4/1(R)	6.5		Laplace transform Fourier Transform	Laplace transform converlution
4/6(T)	6.5		Fisher's equation Schrodinger's equation
4/8(R)	6.5
4/13(T)	7.1	Homework 8: page 429(1c,3b,3c,6), page 433(1,2)	wave sine wave		HW8: 1 2  Maple 1
4/15(R)	7.2		KdV equation Soliton Sine-Gordon equation breather
4/20(T)	7.2		Airy function
4/22(R)	7.3
4/27(T)	7.4	Midterm exam 2	wave equation
4/29(R)	7.4

Date	Sections	Homework	Other readings	Programs	Homework solution
8/27(R)	1.1, 1.2		non-dimensionalization notes
9/1(T)	1.1, 1.2	Homework 1			HW1: p1 p2 p3 p4
9/3(R)	1.3		Scheffer et.al. Nature 2001 Jiang-Shi, 2009	Maple: solve and plot ODE Maple: bifurcation
9/8(T)	1.4	Homework 2 Homework 1 due	Hopf bifurcation, Science, 2000 Bifurcation: Scholarpedia	Matlab: pplane Maple: system of ODEs	HW2: p1 p2 Maple
9/10(R)	1.4		Rosenzweig, Science, 1971 May, Science, 1972
9/15(T)	2.1	Homework 3 Homework 2 due	Lim, Tang et.al. Cell, 2009	Maple: regular perturbation	HW3: p1 p2 p3 p4 p5 Maple
9/17(R)	2.1		CDC and swine flu
9/22(T)	2.2 (4.2)	Homework 4 Homework 3 due	boundary value problem notes		HW4: p1 p2 p3 p4 p5
9/24(R)	2.2
9/29(T)	2.3	Homework 5 Homework 4 due		Maple: inner-outer solution Maple: solve polynomial	HW5: p1 p2 p3 p4
10/1(R)	2.3			Maple: solve boundary value problem
10/6(T)	multiscale method	Test 1 Homework 5 due	Secular and multiscale		Test 1: p1 p2 p3 p4 p5 Maple
10/8(R)	2.5	Project guide
10/13(T)	Fall Break	no class

Date	Sections	Homework	Other readings	Programs	Homework solutions
10/15(R)	2.5, 2.6	Homework 6			HW6: p1 p2 p3
10/16(F)		Take home Exam 1 due 5pm
10/20(T)	3.1		Dido's problem (who is Dido)  Isoperimetric inequality Geodesic Gradient Descent
10/22(R)	3.2	Homework 7 Homework 6 due	minimal surface Touching Soap Films - An introduction to minimal surfaces minimal surface archive perioidc minimal surface Torus		HW7: p1 p2
10/27(T)	3.3
10/29(R)	3.5	Homework 8 Homework 7 due	cycloid Brachistochrone curve tautochrone problem a science project about cylcoid	Maple: cycloid Econ problem	HW8: p1 p2 p3
11/3(T)	3.5		n-body problem 3-body problem A new solution to the three body problem - and more
11/5(R)	3.6	Homework 9: 3.6 (2,5) Homework 8 due			HW9: p1 p2
11/10(T)	3.5		2-body problem Kepler problem Kepler's laws Kepler's problem with general relativity Perihelion
11/12(R)	5.1	Homework 9 due	Logistic map May's 1976 nature paper Li-Yorke's "period 3 implies chaos" Chaos Theory	Matlab: time series (Malthus logistic) cobweb (Malthus logistic Bellows) bifurcation (logistic Bellows)
11/17(T)	5.2		Notes for univariant discrete model in biology	Matlab: wildebeest.m us_pop.m
11/19(R)	5.2		Notes of  matrix model in biology world population Fibonacci why population decreases in history	Matlab: matrixcalculation.m graphing.m moving.m stage.m eigen1.m loggerhead.m loggerhead_1.m
11/24(T)	no class	Test 2
11/26(R)	Thanksgiving	no class
12/1(T)	presentation		Tess, Kristina, Ben
12/3(R)	presentation		Will, Michael, Olivia
12/7(M)		Project paper due 5pm
12/11 (F)		Take home Exam 2 due 5pm