Numerical Analysis. Jan-Apr 2011
Instructor: Seema Nanda
All e-mail communications about this class must be sent to numeric@math.tifrbng.res.in and NOT to the email address of instructor.
Click here to download Homework
Class
Timings
M,W,F
: 9:00 – 10:30 am,
in Seminar
Room (adjacent to library).
Office
Hours:
M,W
: 8:30 -9:30 and by appointment
Course
Outline
The
course is an introduction to basic numerical techniques through
analysis and computer implementation. We will discuss fundamental
issues that arise when finding numerical solutions to equations and
whether you should trust your answer or not. The topics that will be
covered is here
in
pages 4 and 5 of the main syllabus. By
the end of this course, (if you do all the assignments,) you will be
able to :
·Analyze the accuracy, stability, and efficiency of numerical algorithms, and
· Use that information to help you select an appropriate numerical technique for a given problem.
Suggested References:
Numerical Analysis by Burden and Faires.
Scientific Computing and Differential Equations – An Introduction to Numerical Methods by Golub and Ortega
Applied Numerical Analysis by Gerald and Wheatley.
Error Propogation for Difference methods by Peer Henrici
Difference Equations – An Introduction with Applications by Walter G. Kelly and Alan C. Peterson
Discrete Variable Methods in ODEs by Henrici
Numerical Analysis by Samuel Conte and C. De Boer
Grading Policy: Your final grade will be determined as follows:
Random Surprise Quizzes 10%
Homework Assignments : 50 % of total marks (all assignments carry equal weight)
Remaining 40% to be decided later.
About Assignments and Homework
Most of your learning will occur while completing your homework assignments, so take them seriously, and complete them thoroughly. Your homework should show clearly your solution processes. All code should be properly commented, graphs should be annotated. You are encouraged to describe your solution process in words. Poor presentation may result in loss of credit.
Roughly one assignment/homework per week will be given during the semester (with a total of 8 to 10 assignments)
Be prepared to turn in computer programs by e-mail if asked.
No late homework will be accepted.
You are encouraged to discuss the materials, assignments and homeworks with class mates. But the final submitted work must be your own. You MUST acknowledge the people you consulted with.
You are encouraged to LaTex your homework and submit it electronically in .pdf format
Write your solutions precisely and clearly.
State your Name, Homework Number, Due Date and number each problem clearly. Staple your work if you have more than one page. But please staple in such a way that your work is readable without removing staple
Policy for Conduct in Computer Room
As a courtesy to other users please maintain decorum and low decibel levels in the computer lab
Minimize wastage of paper for printouts
Please make use of the office hours for help. If you cannot make it to the office hours you can schedule an appointment
No mobile phones when the class and/or lab is in session
Important Links and Resources
MatLab Resources
Getting
Started with MatLab @ MathWorks
MatLab
Tutorial@ University of Maryland
Getting
Started with MatLab @ Indiana University,
Bloomington
MatLab
Tutorial @ University
of
Utah
Introductory
Guide to MatLab @ University
of
North Carolina at Chapel Hill
List
of online MatLab resources through Duke University
Floyd
Hanson's MatLab Page
LaTeX
Resources
TeX Users Group Web Page
TeX
Users Group Tutorial
Introduction to LaTeX
Beginning LaTeX
Getting started with LaTeX
Latex tutorial for Linux Users
Floyd
Hanson's LaTeX Page
LaTeX resources @ Harvey Mudd College