Numerical Methods & Scientific Computing, JulyNovember 2019
Credits 9 credits
When A slot (Monday, Tuesday, Thursday, Friday)
Monday morning 8 AM slot will be used only as and when needed
Where New Academic Complex, Room 505
Instructor
Sivaram Ambikasaran,
Office hours: By appointment at NAC 648
Teaching Assistant
Vaishnavi, Office hours: Tuesdays 2 PM to 4 PM @ Room 621, NAC
Grading
Assignments 
QuizI 
QuizII 
Endsem 
\(30\) 
\(15\) 
\(15\) 
\(40\) 
Assignments
 All assignments due on Sundays before 5 PM.
 Late assignments will be marked zero.
 There will be both written and computational part in the assignments.
 Students need to submit their assignments in IPython/Jupyter notebooks through the dropbox link provided.
 The name of the Jupyter notebook should be as follows: ma14m093_5.ipynb, where ma14m093 is your roll number and 5 implies that you are submitting your fifth assignment.
 Students need to submit their assignments in IPython/Jupyter notebooks through the dropbox link provided.
 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.
Assignment Grade
Assignment Grades
Assignment Submission
Assignment 1 due August 11
Assignment 2 due August 18
Assignment 3 due September 25
Assignment 4 due October 2
Assignment 5 due October 9
Assignment 6 due October 20
LINK FOR ASSIGNMENT SUBMISSION
Calendar
First class will be on Jul 29, 2019, Monday.
Below is a tentative calendar, which will be updated as we make progress in the course.
Week 
Monday 
Tuesday 
Thursday 
Friday 
Assignment 






WeekI 
Lecture  1 
Lecture  2 

Lecture  3 

WeekII 





WeekIII 





WeekIV 





WeekV 





WeekVI 





WeekVII 





WeekVIII 





WeekIX 





WeekX 





WeekXI 





WeekXII 





WeekXIII 





Short Syllabus
Floating point arithmetic and accuracy estimation, root finding, interpolation and approximation, quadratures, Monte Carlo methods
Textbooks
 Numerical Methods in Scientific Computing  Volume \(I\), by Germund Dahlquist & Ake Bjorck
 Approximation Theory and Approximation Practice, by Nick Trefethen
 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
 Fundamentals of Engineering Numerical Analysis, by Parviz Moin
Exams
Exam 
Date 
QuizI 
September \(9\), Monday 
QuizII 
October \(14\), Monday 
End Term 
November \(15\), Friday 