Math1070 Fall Semester 2007/2008 (2081)
Numerical Mathematical Analysis
MWF 12:00-12:50 Thackeray 627
Office Hours
MWF 2:00 - 3:00, and by appointment
Office: Thackeray 303
Phone: (412) 624-8338
E-mail: yotov@math.pitt.edu
This course is an introduction to modern numerical methods.
Topics include polynomial and spline interpolation, numerical
integration and differentiation, numerical solution of nonlinear
equations and ordinary differential equations. Our goal will be to
understand how and when the methods work. The concept of numerical error
will be used to quantify the accuracy of approximation. We will also
study the stability and the efficiency of the algorithms.
Computer assignments will use Matlab, software produced
by The MathWorks. The Matlab language provides extensive library of
mathematical and
scientific function calls entirely built-in.
Matlab is available on Unix and Windows in the university computing labs.
The full set of manuals is on the web in
html
and also in
Adobe PDF format. The "Getting Started" manual is a good
place to begin and is available both in html
format and in Adobe
PDF format. The full reference manual as well as manuals for each
of the many toolboxes are all available.
Textbook: Elementary Numerical Analysis, 3rd edition by
Kendall Atkinson
and Weimin Han.
Course materials
Syllabus
Matlab Primer
Matlab Tutorial:
Postscript;
HTML
Introduction to Matlab exercises by Dr. Mike Sussman:
Preliminaries;
Beginning Matlab
For useful material related to this course go to
Kendall Atkinson's class web page
Software
A collection of matlab codes accompanying the text
Some graphical user interfaces
Homework Assignments
Homework 1, Due Wednesday, September 12, 2007: Section 1.2 #6, 9c, 15
Homework 2, Due Wednesday, September 19, 2007: Section 2.2 #1b,d, 5b,c, 6f,h;
Section 2.3 #9
Homework 3, Due Friday, September 28, 2007: Section 4.1 #7, 8a, 12-bonus,
23a, 25
Homework 4, Due Wednesday, October 10, 2007: Section 4.2 #1, 4;
Section 4.3 #1, 11;
Hermite interpolation problem
Homework 5, Due Wednesday, October 17, 2007:
Section 5.1 #1, 11b,c, 16
Homework 6, Due Monday, October 29, 2007: Section 5.2 #1a, 7, 15, 19
Homework 7, Due Monday, November 5, 2007: Section 5.3 #2 - only do I-2,
I-3 for 2a,b,c; #9; Section 5.4 #1a, #3 - only do a), #8, #9 - only do a)
Homework 8, Due Wednesday, November 14, 2007: Section 3.1 #1d, 9;
Section 3.2 #2d, 3, 13 (extra credit); Section 3.3 #1d, 4
Homework 9, Due Wednesday, November 28, 2007: Section 3.4 #1, 5, 8, 11, 13a
Homework 10, Due Monday, December 3, 2007: Section 3.5 #1 (use the code from
newton.m, error_bd = 1e-8, x0 = -1 and 1), 8
Homework 11, Due Wednesday, December 12, 2007
Matlab Assignments
Matlab Exercise 1
(for begining matlab users). Due September 5, 2007.
Alternative Matlab Exercise 1
(for students familiar with matlab). Due September 5, 2007.
Matlab Exercise 2
(for begining matlab users). Due September 14, 2007. NOTE: this is the same
as the Alternative Matlab Exercise 1.
Alternative Matlab Exercise 2
(for students familiar with matlab). Due September 14, 2007.
Matlab Exercise 3.
Due Monday October 8, 2007.
Matlab Exercise 4.
Due November 2, 2007.
Matlab Exercise 5.
Due November 28, 2007.
Exams
Exam 1: in class on Fri, October 19, 2007.
Exam 2: in class on Fri, November 16, 2007.
Final Exam: December 12, 2007, 10:00-11:50, Thack 627