Numerical Analysis
MATH 433
MWF 2:30-3:20 pm, 336 ADMIN
Instructor:
|
Lyudmyla Barannyk
317 Brink Hall
tel: (208) 885-6719
fax: (208) 885-5843
barannyk@uidaho.edu
office hours:
M, F 4:00-5:30 pm
and/or by
appointment
|
Course Description
This is a survey course of the basic numerical methods which are used
to solve practical scientific problems. Important concepts such as
accuracy, stability, efficiency and convergence are discussed. The
course provides an introduction to MATLAB, an interactive program for
numerical linear algebra.
Textbook
A Friendly Introduction to Numerical Analysis
By: Brian Bradie
ISBN: 0-13-013054-0
Publisher: Prentice Hall
Copyright: 2006
Published: 04/26/2005
Selected programs: http://www.pcs.cnu.edu/~bbradie/matlab.html
Selected solutions/answers: http://www.pcs.cnu.edu/~bbradie/textbookanswers.html
Additional reading:
Numerical Computing with MATLAB
By: Cleve B. Moler
ISBN: 0898715601
Publisher: Society for Industrial & Applied (06/01/2004)
Available electronically at http://www.mathworks.com/moler/
Numerical Methods Using Matlab (Fourth Edition).
By: John H. Mathews and Kurtis D. Fink
Errata for 4th Edition: Numerical
Methods Using MATLAB, John H. Mathews and Kurtis D. Fink
An
introduction to
numerical analysis
By: Kendall E. Atkinson
QA 297.A841
Numerical Analysis
By: Richard L. Burden and J. Douglas Faires
Elementary Numerical Analysis (3rd
Edition)
By: Kendall Atkinson and Weimin Han
MATLAB guide
By: Desmond J. Higham & Nicholas J. Higham.
QA297 .H5217 2000
Syllabus
Download syllabus: .pdf
Objectives of the course
- Develop numerical methods for approximately solving problems from
continuous mathematics on the computer
- Examine the accuracy of these methods
- Examine the stability of these methods
- Examine the failure modes of these methods
- Implement these methods in a computer language (MATLAB)
-
Computer language
In this course, we will make extensive use of Matlab, a technical
computing environment for numerical computation and visualization
produced by The MathWorks, Inc.
This will take a little learning, but will pay off in the
long
run, since programming numerical methods is much easier (and quicker)
in
Matlab than in virtually any other language.
A Matlab manual is
available in the MSCC Lab.
Also available is a MATLAB
tutorial written by
Peter Blossey: (.pdf)
Another
standard
one is Kermit Sigmon's Matlab Primer:
(.html)
Here is another Matlab resource available on the net:
In addition, there are many textbooks about Matlab. One of them is
MATLAB guide
By: Desmond J. Higham & Nicholas J. Higham.
QA297 .H5217 2000
Handouts
in
format
- Cancellation of Significant Digits Example pdf
- Comparison of Rootfinding Methods (Bisection, False Position,
Newton, and Secant) by J. Tropp pdf
- Numerically determining the order of convergence of the iterative
rootfinding scheme pdf
- LU factorization of a tridiagonal matrix pdf
- Analysis of the SOR iteration matrix pdf
- Romberg Integration and Simpson's 1/3 error term explanation pdf
- Numerical Integration and Richardson's Extrapolation pdf
- Polynomial Interpolation pdf
- Chebyshev and uniform points pdf
- Extra notes on Chebyshev interpolation pdf
- Lecture notes on spline interpolation pdf
- Global error for Euler's method pdf
- Lecture notes on Multistep Methods pdf
- Derivation of Adams-Moulton 2nd order method pdf
Lecture Notes
Lecture 1-13-2010
Lecture 2-22-2010
Lecture 4-7-2010
Lecture 1-15-2010
Lecture 2-24-2010
Lecture 4-9-2010
Lecture 1-20-2010
Lecture 2-26-2010
Lecture 4-12-2010
Lecture 1-22-2010
Lecture 3-1-2010
Lecture 4-14-2010
Lecture 1-25-2010
Lecture 3-3-2010
Lecture 4-16-2010
Lecture 1-27-2010
Lecture 3-5-2010
Lecture 4-19-2010
Lecture 1-29-2010
Lecture 3-8-2010 Midterm review material
Lecture 4-21-2010
Lecture 2-1-2010
Lecture 3-12-2010 Midterm review
Lecture 4-23-2010
Lecture 2-3-2010
Lecture 3-22-2010
Lecture 4-26-2010
Lecture 2-5-2010
Lecture 3-24-2010
Lecture 4-28-2010
Lecture 2-8-2010
Lecture 3-26-2010
Lecture 4-30-2010
Lecture 2-10-2010
Lecture 3-29-2010
Lecture 5-3-2010
Lecture 2-17-2010
Lecture 4-2-2010
Lecture 5-5-2010
Lecture 2-19-2010
Lecture 4-5-2010
Lecture 5-7-2010
MIT lecture notes: Computational
Methods in Aerospace Engineering
Schedule, Homework and Exams
Follow links in the table below to obtain a copy of the
homework in 
Adobe Acrobat(.pdf)
format.
| Homework Sets |
Due Date
|
| Homework
#1 |
Wednesday,
January
27
|
Homework
#2
|
Wednesday,
February 3 |
Homework
#3
|
Wednesday,
February 10 |
Homework
#4
|
Wednesday,
February 17 |
Homework
#5
|
Wednesday,
February 24 |
Homework
#6
|
Wednesday, March
3 |
Homework
#7
|
Wednesday, March
10 |
Homework
#8
|
Monday, April 5
|
Homework
#9
|
Wednesday, April
14 |
Homework #10
|
Monday,
April 26 |
|
Wednesday,
May 5
|
Homework #12
|
|
Midterm:
Tuesday, March 10 in class Midterm review material
Final:
Monday, May 10, 3:00 - 5:00 pm, Admin
336
Grading
40%- 12 Homework assignments
25%- Midterm Exam
35%- Final Exam
Midsemester Questionnaire