Numerical Methods and Scientific Computing, Jan-May 2021

Sivaram Ambikasaran,

First class will be in February first week. The lectures will be accompanied by a quiz on a daily basis to improve your understanding.

Each week there will be three pre-recorded online lectures, which can be accessed via the above link. Each lecture will be accompanied by an online quiz.
The quizzes will be open till the end of the semester though you are strongly encouraged to attempt the quiz according to the schedule.
All these quizzes put together carry a weightage of 20 points towards your total score.
There will also be weekly assignments with a total worth of 40 points.
There will be a take-home endsemester worth 40 points.

All assignments need to be submitted before Sunday midnight.
There will be both written and computational part in the assignments.
We will be relying on MATLAB/Octave for the computing part of the assignment.
Students are strongly encouraged to typeset their solution via LaTeX/TeX. Typesetting using LaTeX/TeX will obtain 25% bonus on the score they get for the assignment.
Students need to submit their assignments through the dropbox link provided.
The name of the zipped file (this should contain the LaTeX/TeX source file, pdf, and MATLAB code) for submitting your assignment should be as follows: ma14m093_5.zip (or .rar or .tar), where ma14m093 is your roll number and 5 implies that you are submitting your fifth assignment.
Any copying on assignments will result in a zero on the assignment.
We will be using JPlag to detect similarities among multiple sets of source code files.
The grader will expect you to express your ideas clearly, legibly, and completely, often requiring complete English sentences rather than merely just a long string of equations or unconnected mathematical expressions. This means you could lose points for poorly written proofs or answers. Clear exposition is a crucial ingredient of technical communication. Clarity of thought and presentation is more important in mathematics & sciences than any other field. The only way to master exposition is by repeated practicing.

Numerical Methods in Scientific Computing - Volume I, by Germund Dahlquist & Ake Bjorck
Approximation Theory and Approximation Practice, by Nick Trefethen
Fundamentals of Engineering Numerical Analysis, by Parviz Moin
Interpolation and Approximation by Polynomials, by George M. Phillips
Spectral Methods in MATLAB, by Nick Trefethen
Exploring Monte Carlo Methods, by William L. Dunn & J. Kenneth Shultis