Basic Mathematics
This course will be conducted by Nishant Chandgotia (nishant@tifrbng.res.in), Debabrata Karmakar (debabrata@tifrbng.res.in) and Sreekar Vadlamani (sreekar@tifrbng.res.in) at JNCASR.
Classes will be held from 10:30 AM to 12:00 AM on Mondays and Wednesdays (and occasionally Saturdays) from August 8 to November 30. We will follow the hybrid model with some classes being held in person and some over zoom. Office hours will held on Fridays from 11:15 AM to 12:15 PM.
Grading Scheme: 40 (Final term)+30 (midterm)+ 30 (assignments).
Here is the conversion chart from marks to letter grades.
Mathematics for Chemistry and Physics by George Turrell
Maths for Chemists by Martin Cockett and Graham Doggett
Advanced Maths for Chemists by J.E.Parker
Tentatively the midterm will be held on Saturday, 1st October from 10:00 AM to 12:00 and the final will be held on Saturday, December 5 from 9:30 AM to 12:30.
Rough Lecture notes (in case the class is held online, some video recordings will be available but only for 2-3 days. Please download them before I delete them.)
Lecture 1, 8th August, 2022: Aptitude Test: Link, Notes (Crystal restriction theorem and quasicrystals): Link.
You may watch the some portion of the talk https://www.youtube.com/watch?v=1tQ9kmLHyw0&t=35s and read https://www.nature.com/articles/milecrystal20 if you are curious.Lecture 2, 10th August, 2022: Notes (Symmetries and groups): Link
Lecture 3, 17th August, 2022: Notes (Symmetries of a polygon): Link
Lecture 4 and 5, 22nd and 24th August, 2022: Notes (Symmetries of a polygon and unitary matrices): Link
Lecture 6, 30th August, 2022: Notes (Row Echelon form): Link
Lecture 7, 5th September, 2022: Notes (Determinants): Link Video Passcode: 0Idd#44L
Lecture 8, 7th September, 2022: Notes (Inner products): Link Video Passcode: Mye@6.4n
Lecture 9 and 10, 12th and 14th September, 2022: Notes (Gram-Schmidt process and Eigenvalues): Link
Lecture 11, 19 September, 2022: Notes (Eigenvalues and diagonalisability) Link
Lecture 12, 21 September, 2022: Notes (Singular values, Jordan form and diagonalisation) Link
Assignments
Please feel free to discuss with your fellow students but the solution must be understood and written on your own. Please do not search for the solutions on the internet. It helps no one (including you). The assignment needs to submitted during the class. In case that the class is taking place online please hand over the copies to the Teaching Assistant Soumya Pant.