AFS - II (2018) KSOM -Speakers and Syllabus

 

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:

  1. Parvati Shastri from Mumbai University for Module 4,
  2. M. Manickam from KSOM for Module 2 and 3
  3. Viji Thomas from IISER TVM  for Modules 1

 Course Associates: TBA

 References

  1. M. Artin:Algebra, 2nd Edition, Prentice Hall of India, 2011.
  2. S. Lang: Algebra, Revised 3rd Edition, Springer.
  3. 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:

  1. Joseph Mathew Retired Professor from ISI Kolkata for module 1,2 and 3,
  2. Prof. A. R. Shastri from IIT Bombay for Module 4

 Course Associates: TBA

 References

  1. Elias Stein and Rami Shakarchi: Real Analysis, Princeton Lectures in Analysis-II, 2003i.
  2. Gerald Folland: Real Analysis: Modern Techniques and Their Applications, Wiley; 2nd edition (May 1, 2007).
  3. 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:

  1. A. R. Shastri from IIT Bombay for module 4
  2. K. Ramesh ISI Bangalore for modules1,2 and 3

 Course Associates: TBA

 References

  1. A. Pressley: Elementary Differential Geometry, Springer; 2nd ed. 2010 edition (March 18, 2010)
  2. Masaaki Umehara and Kotaro Yamada: Differential Geometry of Curves and Surfaces, World Scientific Publishing Co; 1 edition (June 29, 2017).
  3. M. do Carmo: Differential Geometry of Curves and Surfaces, Dover Publications; Updated, Revised edition (December 14, 2016).

 

 

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

Mon

04-06-2018

RT1

T

MT1

L

TRT1

T

TMT1

 

Tues

05-06-2018

T1

T

RT2

L

TT1

T

TRT2

 

Wed

06-06-2018

MT2

T

T2

L

TMT2

T

TT2

 

Thu

07-06-2018

RT3

T

MT3

L

TRT3

T

TMT3

 

Fri

08-06-2018

T3

T

RT4

L

TT3

T

TRT4

 

Sat

09-06-2018

MT4

T

T4

L

TMT4

T

TT4

 

SUNDAY : HOLIDAY

Mon

11-06-2018

RT5

T

MT5

L

TRT5

T

TMT5

 

Tues

12-06-2018

T5

T

RT6

L

TT5

T

TRT6

 

Wed

13-06-2018

MT6

T

T6

L

TMT6

T

TT6

 

Thu

14-06-2018

RT7

T

MT7

L

TRT7

T

TMT7

 

Fri

15-06-2018

T7

T

RT8

L

TT7

T

TRT8

 

Sat

16-06-2018

MT8

T

T8

L

TMT8

T

TT8

 

SUNDAY : HOLIDAY

Mon

18-06-2018

RT9

T

MT9

L

TRT9

T

TMT9

 

Tues

19-06-2018

T9

T

RT10

L

TT9

T

TRT10

 

Wed

20-06-2018

MT10

T

T10

L

TMT10

T

TT10

 

Thu

21-06-2018

RT11

T

MT11

L

TRT11

T

TMT11

 

Fri

22-06-2018

T11

T

RT12

L

TT11

T

TRT12

 

Sat

23-06-2018

MT12

T

T12

L

TMT12

T

TT12

 

SUNDAY : HOLIDAY

Mon

25-06-2018

RT13

T

MT13

L

TRT13

T

TMT13

 

Tues

26-06-2018

T13

T

RT14

L

TT13

T

TRT14

 

Wed

27-06-2018

MT14

T

T14

L

TMT14

T

TT14

 

Thu

28-06-2018

RT15

T

MT15

L

TRT15

T

TMT15

 

Fri

29-06-2018

T15

T

RT16

L

TT15

T

TRT16

 

Sat

30-06-2018

MT16

T

T16

L

TMT16

T

TT16

 

 

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