SUNY Stony Brook

Office: 4-112 Mathematics Building

Phone: (516)-632-8274

Dept. Phone: (516)-632-8290

FAX: (516)-632-7631

TuTh 11:30-12:50 Math Tower S235S (computer lab in basement)

Office hours 10-11:20, Tuesday and Thursday.

Final Exam 5:30-8:00pm Wednesday, December 13

This is a course in problem solving using MATLAB. This is commercial software produced by the company Mathworks, and is commonly used throughout academia and industry. We will start by going through most of Tobin Driscoll's short book "Learning MATLAB" is the first few days to learn the basic commands. We will then do read selected sections of Cleve Moler's books "Numerical Computing in MATLAB: revised reprint" and "experiments in MATLAB", as well a few articles and blog entries by Moler from the Mathworks site. Moler is the original creator of MATLAB. Moler's books can be purchased as hard-copies, but there are also a free online versions provided by MathWorks (the company the produces MATLAB); you will need to create a MathWorks Account.

The university has a ** WRTD writing requirement ** that can
be fulfilled by submitting two of the projects
from this class. If you intend to fulfill the requirement
this way, you should register for the zero-credit course
MAT 459, and let me know you want to use your MAT 331
projects for this requirement. I will post possible
projects as the semester proceeds and we will discuss
a few in class two.

MATLAB is installed on machines in the SINC sites and is available from any computer via the virtual SINC site Virtual SINC site. .

Scripts and functions should be saved in your MySBFiles directory; other dirctories on the SINC site machines are erased after 48 hours. These MySBFiles can be accessed directly from any machine with an internet connection at MySBFiles .

The university license also allows you to download a copy to your home computer (if you are currently a student or faculty member): Information on downloading a copy of MATLAB This page also has instructions on how to create a MATHWORKS account,which you will need to access MATLAB programs and textbooks, even if you don't download a personal copy of MATLAB.

Numerical Computing in MATLAB: revised reprint by Cleve Moler. Our main textbook. Chapters can be downloaded individually. There is also a collection of MATLAB code to download and that is used in the text.

SIAM site for buying hardcopy of "Numerical Computing in MATLAB: revised reprint by Cleve Moler.

Experiments with MATLAB by Cleve Moler. Another textbook on MATLAB, but assuming less math than "Numerical Computing with MATLAB". We will use some chapters from this, such as the one on the Mandelbrot set.

Cleve's Corner articles related to the text and MATLAB in general.

Getting started in MATLAB Introduction by the makers of MATLAB

Learning MATLAB by Toby Driscoll. A very good, very short and inexpensive introduction to MATLAB, by a real expert.

SIAM site for buying of "Learning MATLAB" by Tobin Driscoll.

The not too short introduction to LaTex

Grades will be based on:

(1) In-class quizzes. I provide practice quizzes to do at home.

(2) Homework. These will usually involving
writing a short report stating the problem, describing how
to solve it, giving the MATLAB code you used, and table or pictures
that illustrate your results.

(3) Projects: just like homework, but a little longer and
often involving some outside reading. I will make up
several of these and you will choose at least two to do.

(4) Final exam (similar to quizzes, but longer)

Send the lecturer (C. Bishop) email at:

Link to history of mathematics There are a lot of iteresting articles here. If you know of other math related sites I should link to, let me know.

A link to MathSciNet (Online Mathematical Reviews). These gives access to reviews of about 3 million mathematical papers and links to some of the actual articles. You will need a NETID and password to access this.

A link to the Stony Brook virtual SINC site . You will need a NETID and password to access this.

A link to the installer for TexMaker. on the SINC site machines. You can also download for use on the virtual SINC site. This is special editor for TeX files that incorporates several steps into one. You will need a NETID and password to access this.

A link to BlackBoard . You will need a NETID and password to access this.

Projects are longer versions of the homework assigments, but I
will give several and you need to choose any three to hand in. If
you are enrolled in MAT 459, then two of these can be used to
satisfy the university WRDT requirement, as described above.

The first project is due October 31, the second November 30 and the
third pn Decemeber 13 (last day of class). You may submit eithe a hardcopy
or electronic version (but I would prefer a hardcopy to make sure
it is printed just as you intend).

Each listed project has two components for you to look at.
The first is a one page description
of what I want you to do. This will often include an itemized list of
computations I want you to make, based on the reading the second
part. The second will usually be a some
notes written by myself, or a short recent paper by some mathematician
describing a calculation or algorithm. Usually there will be more material
here than you need to do the project; I generally only want you to do
and describe experiments that test the claims of the paper, and you generally
don't have to understand the proofs in the paper to do this.

List of projects (more will be added later):

Project 1 , -----
Gauss-Jacobi quadrature and Legendre polynomials ,
notes by C.Bishop

Project 2 , -----
Points of increase for random walks , by Yuval Peres,
Microsoft Research

Project 3 , -----
Uniformly discrete forests with
poor visibility , by Noga Alon, Tel Aviv University

Project 4 , -----
Is Gauss quadrature better than
Clenshaw-Curtis? ,----- by Lloyd N. Trefethen, Oxford University and NYU

** Tuesday, August 29 ** Introduction, Driscoll Chapters 1 and 2

Cleve's Corner - The origin of MATLAB ,

Homework 0 (PDF)

Homework 0 (TEX)

Homework 0 with Solution (PDF)

Homework 0 with Solution (TEX)

Topics covered: course administration, the class webpage,

how to access the virtual SINC site,

how to open MATLAB, open documentation,

basic arithmetic, digits, vpa

writing a MATLAB script,

for loops,

entering vectors and matrices

** Thursday, August 31 ** Driscoll Chapters 3 and 4

Topics covered:

save, load

basic functions: sin, cos, log, exp, rand, round, floor, ceil

arrays: size,length, the colon operator, zeros, ones

plot

** Tuesday, September 5 Labor day, NO CLASS **

** Thursday, September 7 ** More commands

cumsum

referencing elements, end, find, logical indexing

strings, char, num2str, str2num, strfind

syms, solve, vpasolve, root

anonymous functions

plot versus ezplot

scatter

Scripts from Sept 7 class

NCM - Chapter 1,
Read Section 1.7 on floating point numbers and precision

** Tuesday, September 12 ** Quiz, last 30 minutes of class

Cleve's Corner - Computing pi ,
I thought you might like to read this, but I will
not be testing you on this material.

Due to a problem with cetain MATLAB commands like "solve",
"vpa" and "root" on the virtual SINC site, I will remove these
commands from Quiz 1. I have posted a new practice Quiz 1 that
reflects these changes.

** NEW **
Practice Quiz 1 (PDF)

** NEW **
Practice Quiz 1 (TEX)

Old Practice Quiz 1 (PDF)

Old Practice Quiz 1 (TEX)

Practice Quiz Solutions (PDF)

Quiz 1 scores

scripts versus functions

if, else, elseif,

switch

for loops, while loops,

Scripts from Sept 12 class

** Thursday, September 14 **

profiling, tic, toc, preallocation

Numerical integration:
endpoint rule, midpoint rule, trapezoid rule,
Simpson's rule

Using logarithmic plots to measure convergence

Scripts from Sept 14 class

** Tuesday, September 19 ** Homework 1 due

Homework 1 (PDF) - comparing methods of computing e=2.71... ,

Homework 1 (TEX) ,

Polynomial interpolation, equally spaced points versus
Chebyshev points, Gauss-Jacobi quadrature

Scripts from Sept 19 class

Wikipedia - Polynomial interpolation

Wikipedia - Chebyshev nodes

Wikipedia - Gauss quadrature ,

Wikipedia - Legendre polynomials ,

** Thursday, September 21 ** Primes and factoring

Commands: factor, primes, isprime, if/else,

Scripts from Sept 21 class

** Tuesday, September 26 ** Quiz 2 (last 30 minutes of class)

Practice Quiz 2 (PDF)

Practice Quiz 2 (TEX)

Practice Quiz Solutions (PDF)

Topics: Chebyshev polynomials and points,

Wikipedia - Chebyshev polynomials ,

** Thursday, September 28 ** Guest Lecture: Prof L.N. Trefethen

The webpage of
Professor L.N. Trefethen, FRS . Professor Trefethen is head of
the numerical analysis group at Oxford, Global Distinguished Professor
at NYU and former president of SIAM. His webpage contains numerous links
to papers, essays, lectures and videos related to computational
mathematics and MATLAB.

Wikipedia - Chebfun ,

'Six myths of polynomial interpolation and quadrature'
by Lloyd N. Trefethen ,

Homepage for ** CHEBFUN**, download it here

First six chapters
of "Approximation Theory and Approximation Practice" by L.N. Trefethen

** Tuesday, October 3 ** Root finding: bisection, Newton, secant methods

Homework 2 (PDF) - Chebyshev polynomials ,

Homework 2 (TEX) ,

NCM - Chapter 4 ,

** Thursday, October 5 ** Optimization

** Tuesday, October 10 ** Random walks on the integers

profiling, tic, toc, preallocation

NCM- Chapter 2

** Thursday, October 12 ** Random walks on a grid,
simulating Brownian motion,

** Tuesday, October 17 ** Harmonic measure

** Thursday, October 19 ** Conformal maps, SCToolbox

** Tuesday, October 24 ** Graphs

** Thursday, October 26 ** Markov chains

** Tuesday, October 31 ** Mixing times

** Thursday, November 2 ** Language models

** Tuesday, November 7 ** Simple codes

** Thursday, November 9 ** One time pads

** Tuesday, November 11 ** Random numbers

NCM- Chapter 9

** Thursday, November 16 ** Public key exchange, RSA

** Tuesday, November 18 ** No class

** Thursday, November 23 ** Thanksgiving, no class

** Tuesday, November 25 ** Least squares and QR

NCM- Chapter 5

** Thursday, November 30 ** Fast Fourier transform

NCM- Chapter 8

** Tuesday, December 5 ** Signal analysis

** Thursday, December 7 ** last class

** Wednesday, December 13 ** Final exam, 5:30pm-8:00pm

** Technology Support: **
Student Technology Services.
TLT provides academic technology support to all students. If you require assistance with Blackboard or other academic technologies, please contact TLT at: helpme@stonybrook.edu; Phone: 631.632.9602; Chat; http://www.stonybrook.edu/helpme or visit a SINC Site.

Students who need assistance with their personal devices can contact DoIT's service desk at: 631.632.9800, submit an online request, or visit the Walk In Center on the 5th floor of the Melville Library (West Campus), Room S-5410. For more information, visit: https://it.stonybrook.edu/students

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