TEW - Linear Algebra & Multivariable Calculus(2019)
Speakers and Syllabus
This Teachers’ Enrichment Workshop (TEW) is aimed primarily at mathematics teachers at the undergraduate and postgraduate levels. While research scholars in mathematics may also apply, they will have lower preference in selection. The sessions will be geared towards improving the understanding of the fundamental concepts and results in Linear Algebra and Multivariable Calculus, two subjects that are basic to mathematics and science. The workshop will be an intensive one and only those who are willing to actively participate and get their hands dirty by solving problems need apply.
|Speaker||Affiliation||Topic(s)||Number of lecture hours||Number of tutorial hours||Details|
|Anirban Mukhopadhyay||IMSc, Chennai||Linear Algebra and MVC||10.5||2 (conduct) + 2 (assist)||The aim will be to highlight the unifying theme behind the fundamental theorem of calculus, Green’s theorem, and Guass’ divergence theorem. Stokes’ theorem (for Rn )will be presented as a culminating point of this string of results. Will take the shortest possible path to give a self contained proof of Stokes’ theorem largely following Principles of Mathematical analysis by W. Rudin.|
|K.N. Raghavan||IMSc, Chennai||Linear Algebra||10.5||2 (conduct) + 2 (assist)||The emphasis will be on matrices,not on the more abstract notion of linear transformations. Should the situation demand it, some of the topics shall be partially or fully skipped. I will follow the notes on the web page
https://www.imsc.res.in/~knr/past/linalg_ed.pdf, which themselves are based on Gilbert Strang’s book Introduction to Linear Algebra.
|S Sundar||IMSc, Chennai||Multivariable Calculus||6||2 (conduct) + 2 (assist)||
|Time||09:30 to 11:00||11:15 to 12:45||14:00 to 15:30||15:45 to 16:45|
|Mon 13th||KNR||SS||L||AM||Tutorials(KNR & SS)||S|
|Tue 14th||AM||T||SS||U||KNR||T||Tutorials(AM & SS)||N|
|Wed 15th||KNR||E||AM||N||SS||E||Tutorials(KNR & SS)||A|
|Thur 16th||SS||A||KNR||C||AM||A||Tutorials(SS & AM)||C|
|Fri 17th||KNR||AM||H||KNR||Tutorials(KNR & AM)||K|
|Sat 18th||AM||KNR||AM||Tutorials(AM & KNR)||S|
KNR = K.N.Raghavan, AM = Anirban Mukhopadhyay, SS = S.Sundar