Math1070 Fall Semester 2013

### Math1070 Fall Semester 2013

### Numerical Mathematical Analysis

MWF 12:00-12:50 Thackeray 627

### Office Hours

###
MWF 2:00 - 3:00, and by appointment

Office: Thackeray 606

Phone: (412) 624 5681

E-mail: trenchea@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

**Additional references:**
*Numerical Mathematics*, second edition, by A. Quarteroni, R. Sacco, F. Faleri.
Book's Programs
Numerical Methods in Scientific Computing, volume I, by G. Dahlquist, A. Bjorck. SIAM.
Numerical Methods, by G. Dahlquist, A. Bjorck. Dover.

## Homework Assignments

Homework 1, Due Friday, September 11, 2013: Section 1.2 #6, 9c, 15
Homework 2, Due Friday, September 18, 2013: Section 2.2 #1b,d, 5b,c, 6f,h;
Section 2.3 #9
Homework 3, Due Monday, September 27, 2013: Section 4.1 #7, 8a, 12-bonus,
23a, 25
Homework 4, Due Friday, October 9, 2013: Section 4.2 #1, 4;
Section 4.3 #1, 11;
Hermite interpolation problem
Homework 5, Due Friday, October 16, 2013:
Section 5.1 #1, 11b,c, 16
Homework 6, Due Wednesday, October 28, 2013: Section 5.2 #1a, 7, 15, 19
Homework 7, Due Wednesday, November 4, 2013: 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 Friday, November 11, 2013: Section 3.1 #1d, 9;
Section 3.2 #2d, 3, 13 (extra credit); Section 3.3 #1d, 4
Homework 9, Due Friday, November 27, 2013: Section 3.4 #1, 5, 8, 11, 13a
Homework 10, Due Wednesday, December 2, 2013: Section 3.5 #1 (use the code from
newton.m, error_bd = 1e-8, x0 = -1 and 1), 8
Homework 11, Due Wednesday, December 8, 2013

## Matlab Assignments

Matlab Exercise 1
(for begining matlab users). Due September 4, 2013.
Alternative Matlab Exercise 1
(for students familiar with matlab). Due September 4, 2013.
Matlab Exercise 2
(for begining matlab users). Due September 13, 2013. NOTE: this is the same
as the Alternative Matlab Exercise 1.
Alternative Matlab Exercise 2
(for students familiar with matlab). Due September 13 2013.
Matlab Exercise 3.
Due Wednesday October 7, 2013.
Matlab Exercise 4.
Due November 1, 2013.
Matlab Exercise 5.
Due November 27, 2013.
## Exams

Exam 1: in class on Friday, October 18, 2013.
Exam 2: in class on Friday, November 15, 2013.
Final Exam: December 9, 2013, 12:00-12:50, Thack 704
If you have a disability for which you are or may be requesting an
accommodation, you are encouraged to contact both your instructor and
Disability Resources and Services, 140 William Pitt Union,
412-648-7890 or 412-383-7355 (TTY) as early as possible in the term. DRS will verify your disability and determine reasonable accommodations for this course.