A brief Description of the workshop:
This week long workshop will be devoted to three mini courses on Real Analysis, Linear Algebra, and Modern Algebra. Each course will consists of 6 (six) lectures and will cover important topics which are taught to students pursuing B.Sc (Hons) in Mathematics.
Syllabus: The syllabus for each topic will overlap with the syllabus of BSc (Hons) course in Mathematics offered by colleges affiliated to Gauhati University.
Speakers:
Real Analysis: Anjan Kumar Chakrabarty & Rafikul Alam
Linear Algebra: Sukanta Pati
Modern Algebra: Rupam Barman & Bhaba Kumar Sarma,
Syllabus: The syllabus for each topic will overlap with the syllabus of BSc (Hons) in Mathematics of Gauhati University as well as relevant mathematics courses of B.Tech programme at IIT Guwahati.
Text Books:
1.G. Strang, Linear Algebra and Its Applications, 4th ed., Thompson Learning Inc., 2006.
2.P.M. Fitzpatrick, Advanced Calculus, AMS, Indian Edition, 2010.
3.I. N. Herstein, Topics in Algebra, 2nd ed., Wiley, 2006.
Tentative Time Table:
Day |
Date |
Lect.1 9:30-11:00 |
11:00-11:30 |
Lect.2 11:30-13:00 |
13:00-14:00 |
Lect.3 14:00-15:30 |
15:30-15:45 |
15:45-16:45 |
16:45 |
Mon |
19/12 |
Modern Algebra (9:45-11:00) |
Tea
|
Real Analysis |
Lunch
|
Linear Algebra |
Tea
|
Discussion |
Snacks |
Tue |
20/12 |
Real Analysis |
Linear Algebra |
Modern Algebra |
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Wed |
21/12 |
Linear Algebra |
Modern Algebra |
Real Analysis |
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Thu |
22/12 |
Modern Algebra |
Real Analysis |
Linear Algebra |
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Fri |
23/12 |
Real Analysis |
Linear Algebra |
Modern Algebra |
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Sat |
24/12 |
Linear Algebra |
Modern Algebra |
Real Analysis |