Past Courses
Following is the content of the courses offered in the past.
- Tuesdays & Thursdays 10:15 AM – 11:45 AM, Classroom-2, starting 9 March 2021
- Syllabus
- Access course material at https://github.com/raghurama123/nm2021 and interactive notebooks at https://mybinder.org/v2/gh/raghurama123/nm2021/HEAD
- Numerical Methods in Engineering with Python 3, Jaan Kiusalaas, Cambridge University Press (2013).
- A Student’s Guide to Python for Physical Modeling, Jesse M. Kinder, Philip Nelson, Princeton University Press (2018).
- Numerical Methods, W. Boehm, H. Prautzsch, Universities Press, 2000.
- Introduction to object-oriented programming in Python with examples
- Square Roots from 1; 24, 51, 10 to Dan Shanks
- Babylon and the square root of 2
- PEP 8 — Style Guide for Python Code
- Fridays 10:15 AM – 11:45 AM, Classroom-1, starting 12 March 2021
- Access course material at https://github.com/raghurama123/ds2021 and interactive notebooks at https://mybinder.org/v2/gh/raghurama123/ds2021/HEAD
- Numerical Methods, W. Boehm, H. Prautzsch, Universities Press, 2000. (Indian Edition,
~Rs. 200). - Introduction to Numerical Computation, L. Eldén, L. Wittmeyer-Koch, H.B. Nielsen,
Overseas Press, 2006 (Indian Edition, ~Rs. 500).
- Wiki entry for William Kahan
- DeTemple, Duane W. (May 1993). “A Quicker Convergence to Euler’s Constant”. The American Mathematical Monthly. 100 (5): 468–470
- Course outline (pdf file)
- Office hours: Tuesday and Thursday from 18:00 to 19:00; I am available also by appointment (email to ramakrishnan@tifrh.res.in) for discussions related to the course content.
- Problem set 1 (PDF FILE) posted 01/09/2019
- Course outline (pdf file)
- Office hours: Wednesday and Friday from 18:00 to 19:00; I am available also by appointment (email to ramakrishnan@tifrh.res.in) for discussions related to the course content.
- Problem set 1 (PDF FILE) posted 02/09/2019
- H. Rauch, W. Treimer, U.Bonse, “Test of a single crystal neutron interferometer”, Physics Letters A, 47 (1974) 369
- H. Rauch, A. Zeilinger, G. Badurek, A. Wilfing, W. Bauspiess, U. Bonse, “Verification of coherent spinor rotation of fermions”, Physics Letters A, 54 (1975) 425
- R. Colella, A. W. Overhauser, S. A. Werner, “Observation of Gravitationally Induced Quantum Interference”, Phys. Rev. Lett. 34 (1975) 1472
- S. A. Werner, R. Colella, A. W. Overhauser, C. F. Eagen, “Observation of the Phase Shift of a Neutron Due to Precession in a Magnetic Field”, Phys. Rev. Lett. 35 (1975) 1053
- Quiz 1 with solutions (PDF FILE) posted 15/09/2019
Quantum Mechanics-1 (August – November 2018)
This is a rigorous course covering the principles of non-relativistic quantum mechanics and its applications to chemistry and physics problems. The course comprises of 40 lectures, each of duration 90 minutes, and the syllabus closely follows the contents of the books “Quantum Physics” by Stephen Gasiorowicz, Edition-3 (2007) and “Quantum Mechanics” by David McIntyre, Corinne A. Manogue and Janet Tate, Edition-1 (2013). The lectures will, in general, only demonstrate key ideas from these references and provide necessary background material– Class time is not a substitution for reading these books and vice versa! For this reason, participants of this course are strongly encouraged to purchase the rather inexpensive paperback versions of these books for self-study.
Grading: Quizzes based on the problem sets (20%), closed-book mid-term exam-1 after 15 lectures (25%), closed-book mid-term exam-2 after 30 lectures (25%), final exam (30%).
Numerical Methods (January – April 2018)
Problem sets
Quantum Mechanics-1 (August – November 2017)
- Problem set 1 (PDF FILE), 11 August 2017, due 21 August 2017
- Problem set 2 (PDF FILE), 25 August 2017, due 4 September 2017
- Problem set 3 (PDF FILE), 28 September 2017, due 9 October 2017
- Problem set 4 (PDF FILE), 24 October 2017, due 4 November 2017
Electronic Structure Theories of Matter (January – April 2017)
Topics in Advanced Mathematics (January – April 2017)
- Along with Prof. P. K. Madhu
- Course outline (pdf file)
Supplementary material
-
- Fortran program to demonstrate de Mere’s paradox, deMere.f90
- Buffon’s problems (external link)
- Solutions to problems from
“Probability Theory: A Concise Course, Y. A. Rozanov”, solutions_Rozanov.pdf
TCIS 2017 Time table Course outline (pdf file)
Introduction to Quantum Mechanics (August – November 2016)
- Along with Prof. Subodh R. Shenoy
- Course outline (pdf file)
- Assignment, Deadline: 26 November 2016, Saturday, 10:00 am
Final exam dates
- 26 October 2016, Saturday, 10:30 — 12:30, exam.pdf (questions 4 and 5 with solutions)
Numerical Methods and Algorithms in Chemical Physics (August – November 2016)
- Along with Dr. Jagannath Mondal
- Course outline (pdf file)
Problem sets
- ex_001.pdf
- ex_002.pdf
- ex_003.pdf
- ex_004.pdf
- ex_005.pdf
- ex_006.pdf
- ex_007.pdf
- ex_008.pdf
- ex_009.pdf
- ex_010.pdf
- ex_011.pdf
- ex_012.pdf
Assignment due dates
- Assignment-1 (Problem sets 1-4), Deadline: 30 September 2016, Friday, 17:00 hrs
- Assignment-2 (Problem sets 5-12), Deadline: 28 October 2016, Friday, 17:00 hrs
Final exam dates
- Theory (22 October 2016, Saturday, 10:00 — 12:00), exam.pdf
- Practicals (29 October 2016, Saturday, 10:00 — 12:00)