Numerical Methods & Scientific Computing, July-November 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 |
Quiz-I |
Quiz-II |
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
Assignment 7 due November 13
Assignment 8 due November 13
Practice Final
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 |
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| Week-I |
Lecture - 1 |
Lecture - 2 |
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Lecture - 3 |
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| Week-II |
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| Week-III |
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| Week-V |
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| Week-VII |
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| Week-VIII |
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| Week-X |
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| Week-XI |
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| Week-XII |
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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 |
| Quiz-I |
September \(9\), Monday |
| Quiz-II |
October \(14\), Monday |
| End Term |
November \(15\), Friday |