IST Linear Algebra and Multivariable Calculus (2017)- Speakers and Syllabus

In this school, we will learn the basic tools of linear algebra and multivariable calculus and use them to study classical matrix groups and geometry of surfaces. Learning these topics are the first steps to pursue research in the area of algebra,analysis and geometry. Through these topics we will discuss some questions of current interests to get a flavour of ongoing research in these areas. We will also learn to use software like Sage for computations.

Our intention is to promote mathematics in north-east and improve quality of teaching which is essential for motivating students for research in mathematics. We hope that after attending this school, our participants would be able to motivate and encourage their students to study mathematics at higher level.

Speakers

i)Bhaba Kumar Sarma, IIT Guwahati
ii)Krishna B. Athreya, Iowa State University
iii)Anupam Kumar Singh, IISER Pune
iv)Harish Seshadri / Kaushal Verma, IISc Bangalore

Course associates

i) Neelam Saikia, IIT Guwahati
ii) Ratna Pal, IISER Pune
iii) Sudhir Pujahari, HRI Allahabad
iv) Dhrubajit Choudhury, Dibrugarh University

 Abstract of lectures
i) Bhaba Kumar Sarma: Structures of linear operators on finite dimensional vector spaces.
ii) Krishna B. Athreya: Basic topology and derivative of functions of several variables.
iii) Anupam Kumar Singh: Lie algebra of matrix groups.
iv) Harish Seshadri / Kaushal Verma: Curvature of surfaces and Gauss theorema Egregium.

Time table
First Week: 18 th to 23 th December, 2017

Day 9:30-11:00 11:00- 11:30 11:30-1:00 1:00- 2:30 2:30-3:30 3:30- 4:00 4:00-5:00 5:00- 5:30
Mon BS Tea KA Lunch BS, NS, SP Tea KA, RP, DC Snacks
Tue BS Tea KA Lunch BS, NS, SP Tea KA, RP, DC Snacks
Wed BS Tea KA Lunch BS, NS, SP Tea KA, RP, DC Snacks
Thu BS Tea KA Lunch BS, NS, SP Tea KA, RP, DC Snacks
Fri BS Tea KA Lunch BS, NS, SP Tea KA, RP, DC Snacks
Sat BS Tea KA Lunch BS, NS, SP Tea KA, RP, DC Snacks

 Second Week: 25rd to 30th December, 2017

Day 9:30-11:00 11:00 11:30 11:30-1:00 1:00- 2:30 2:30-3:30 3:30- 4:00 4:00-5:00 5:00- 5:30
Mon AS Tea HS/KV Lunch AS, NS, SP Tea HS/KV, RP, DC Snacks
Tue AS Tea HS/KV Lunch AS, NS, SP Tea HS/KV, RP, DC Snacks
Wed AS Tea HS/KV Lunch AS, NS, SP Tea HS/KV, RP, DC Snacks
Thu AS Tea HS/KV Lunch AS, NS, SP Tea HS/KV, RP, DC Snacks
Fri AS Tea HS/KV Lunch AS, NS, SP Tea HS/KV, RP, DC Snacks
Sat AS Tea HS/KV Lunch AS, NS, SP Tea HS/KV, RP, DC Snacks

AS: Anupam Kumar Singh
BS: Bhaba Kumar Sarma
HS: Harish Seshadri
KA: Krishan B.Athreya
KV: Kaushal Verma
DC: Dhrubajit Choudhury
NL: Neelam Saikia
RP: Ratna Pal
SP: Sudhir Pujahari