Syllabus and Speakers
1.Rings and Modules
We will cover most of the material found in Chapters 10, 11 and 12 found in Michael Artin's Algebra, Pearson, 1991.
Speakers:
- Parvati Shastri from Mumbai University for Module 4,
- M. Manickam from KSOM for Module 2 and 3
- Viji Thomas from IISER TVM for Modules 1
Course Associates: TBA
References
- M. Artin:Algebra, 2nd Edition, Prentice Hall of India, 2011.
- S. Lang: Algebra, Revised 3rd Edition, Springer.
- N. Jacobson: Basic Algebra, Vol.1 and Vol.2, Dover,2011.
2.Measure and Integration
We will cover most of the material found in Chapters 1,2 and 3 of Rudin's book Real and Complex Analysis.
Speakers:
- Joseph Mathew Retired Professor from ISI Kolkata for module 1,2 and 3,
- Prof. A. R. Shastri from IIT Bombay for Module 4
Course Associates: TBA
References
- Elias Stein and Rami Shakarchi: Real Analysis, Princeton Lectures in Analysis-II, 2003i.
- Gerald Folland: Real Analysis: Modern Techniques and Their Applications, Wiley; 2nd edition (May 1, 2007).
- W. Rudin: Real and Complex Analysis, 3rd Edition, Tata McGraw-Hill Higher Education, New Delhi, 1987.
3. Introduction to Curves and Surfaces
We will cover most of the material found in Chapters 1-11 of Pressley's book.
Speakers:
- A. R. Shastri from IIT Bombay for module 4
- K. Ramesh ISI Bangalore for modules1,2 and 3
Course Associates: TBA
References
- A. Pressley: Elementary Differential Geometry, Springer; 2nd ed. 2010 edition (March 18, 2010)
- Masaaki Umehara and Kotaro Yamada: Differential Geometry of Curves and Surfaces, World Scientific Publishing Co; 1 edition (June 29, 2017).
- M. do Carmo: Differential Geometry of Curves and Surfaces, Dover Publications; Updated, Revised edition (December 14, 2016).
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Day |
Date |
Lecture 1 (9.30–11.00) |
Tea (11.00–11.30) |
Lecturer 2 (11.30–1.00) |
Lunch (1.00–2.30) |
Tutorial 1 (2.30–3.30) |
Tea (3.30-4.00) |
Tutorial 2 (4.00-5.00) |
Snacks 5.00 |
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Mon |
04-06-2018 |
RT1 |
T |
MT1 |
L |
TRT1 |
T |
TMT1 |
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Tues |
05-06-2018 |
T1 |
T |
RT2 |
L |
TT1 |
T |
TRT2 |
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Wed |
06-06-2018 |
MT2 |
T |
T2 |
L |
TMT2 |
T |
TT2 |
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Thu |
07-06-2018 |
RT3 |
T |
MT3 |
L |
TRT3 |
T |
TMT3 |
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Fri |
08-06-2018 |
T3 |
T |
RT4 |
L |
TT3 |
T |
TRT4 |
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Sat |
09-06-2018 |
MT4 |
T |
T4 |
L |
TMT4 |
T |
TT4 |
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SUNDAY : HOLIDAY |
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Mon |
11-06-2018 |
RT5 |
T |
MT5 |
L |
TRT5 |
T |
TMT5 |
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Tues |
12-06-2018 |
T5 |
T |
RT6 |
L |
TT5 |
T |
TRT6 |
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Wed |
13-06-2018 |
MT6 |
T |
T6 |
L |
TMT6 |
T |
TT6 |
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Thu |
14-06-2018 |
RT7 |
T |
MT7 |
L |
TRT7 |
T |
TMT7 |
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Fri |
15-06-2018 |
T7 |
T |
RT8 |
L |
TT7 |
T |
TRT8 |
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Sat |
16-06-2018 |
MT8 |
T |
T8 |
L |
TMT8 |
T |
TT8 |
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SUNDAY : HOLIDAY |
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Mon |
18-06-2018 |
RT9 |
T |
MT9 |
L |
TRT9 |
T |
TMT9 |
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Tues |
19-06-2018 |
T9 |
T |
RT10 |
L |
TT9 |
T |
TRT10 |
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Wed |
20-06-2018 |
MT10 |
T |
T10 |
L |
TMT10 |
T |
TT10 |
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Thu |
21-06-2018 |
RT11 |
T |
MT11 |
L |
TRT11 |
T |
TMT11 |
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Fri |
22-06-2018 |
T11 |
T |
RT12 |
L |
TT11 |
T |
TRT12 |
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Sat |
23-06-2018 |
MT12 |
T |
T12 |
L |
TMT12 |
T |
TT12 |
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SUNDAY : HOLIDAY |
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Mon |
25-06-2018 |
RT13 |
T |
MT13 |
L |
TRT13 |
T |
TMT13 |
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Tues |
26-06-2018 |
T13 |
T |
RT14 |
L |
TT13 |
T |
TRT14 |
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Wed |
27-06-2018 |
MT14 |
T |
T14 |
L |
TMT14 |
T |
TT14 |
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Thu |
28-06-2018 |
RT15 |
T |
MT15 |
L |
TRT15 |
T |
TMT15 |
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Fri |
29-06-2018 |
T15 |
T |
RT16 |
L |
TT15 |
T |
TRT16 |
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Sat |
30-06-2018 |
MT16 |
T |
T16 |
L |
TMT16 |
T |
TT16 |
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TRTn: nth tutorial in Ring theory
MTn : nth lecture in Measure Theory
TMTn: nth tutorial in Measure theory
Tn : nth lecture in Topology
TTn: nth tutorial in Topology
T : Tea
L : Lunch
Tutorial Assistants: More to be fixed, names will be continuously updated on the website after confirmation