ATML - Calculus and Differential Geometry (2011)

Venue:  Stat-Math Unit, Indian Statistical Institute, Kolkata.
Dates: 28th Nov - 10th Dec, 2011

 

Convener(s) Speakers, Syllabus and Time table Applicants/Participants

 

School Convener(s)
Name Goutam Mukherjee Mahuya Datta
Mailing Address Stat-Math Unit,                                   
Indian Statistical Institute, kolkata - 700108		   Stat-Math Unit,                                   
Indian Statistical Institute, kolkata - 700108

 

Speakers and Syllabus 

Speakers: 

  • Mahuya Datta (ISI, Kolkata)
  • Goutam Mukherjee (ISI, Kolkata)
  • Neeta Pandey (BKC College, Kolkata)
  • A. R. Shastri (IIT, Bombay)

 

Syllabus:

 

Stream A:

  • Review of Calculus of Several Variables. Directional and partial derivative, total derivative, linearity of the total derivative, Inverse and Implicit function theorems, Lagrange Multiplier method. (9 hours, 1st week)
  • Multivariable integration, Sard's theorem, Exterior Algebra, Differential forms, Change of variable formula, Integration of chains, Stokes Theorem on chains. (9 hours, 2nd week)

 

Stream B:

  • Level sets in R^n; vector fields and tangent spaces. Surfaces, orientation of surfaces, Gauss Map, Geodesics and parallel transport, Weingarten map, Curvatures of curves and of surfaces,(9 hours, 1st week)
  • Convex surfaces, Surfaces with boundary, Parametrization of surfaces, Minimal surfaces, exponential map. Gauss-Bonnet Theorem. (9 hours, 2nd week)

 

Recommended Books:

  • K. K. Mukherjea, Differential Calculus in Normed Linear Spaces (TRIM series)
  • A. R. Shastri, Differential Topology (pre-print)
  • Thorpe, Elementary Topics in Differential Geometry (Springer)
  • A. Pressley, Elementary Differential Geometry (Springer)
  • M. Do Carmo, Differential Geometry of Curves and Surfaces (Prentice Hall)

 

Selected Applicants

 

List of selected candidates

(in order of last name)

Sr. SID Full Name Gender Affiliation State Position University/
Institute
M.Sc./M.A.		 Year of Passing M.Sc./M.A
1 172 Dr. BHARTI ARORA Female Shyam Lal College(Evening), University of Delhi Delhi Assistant Professor Guru Jambheshwar University, Hisar, Haryana 2005
2 105 Mr. SUNIL KUMAR CHANYAL Male D. S. B. CAMPUS, KUMAUN UNIVERSITY, NAINITAL UTTARAKHAND Assistant Professor KUMAUN UNIVERSITY, NAINITAL 2005
3 93 Mr PABITRA DEBNATH Male

ST. XAVIER'S COLLEGE(AUTONOMOUS), KOLKATA

 WEST BENGAL Assistant Professor IIT KANPUR 2004
4 192 Dr. Manish Kumar Gupta Male Guru Ghasidas Vishwavidyalaya

(A Central University)

Bilaspur (C.G.)

 Chhattisgarh Assistant Professor University of Allahabad 2003
5 255 Ms. Punam Gupta Female KIIT University Orissa Assistant Professor Banaras Hindu University 2007
6 225 Dr SUBRAMANIA PILLAI I Male ANNA UNIVERSITY OF TECHNOLOGY TIRUNELVELI TAMILNADU Assistant Professor UNIVERSITY OF HYDERABAD, HYDERABAD 2003
7 199 Dr. Syeda Darakhshan Jabeen Female School of Applied Sciences, Haldia Institute of Technology, Haldia West Bengal Assistant Professor Vidyasagar University,  Midnapore 2003
8 182 Prof. Dipak Sandu Jadhav Male Smt. Chandibai Himathmal Mansukhani College, Ulhasnagar-03 Maharashtra Assistant Professor University of Mumbai 2008
9 211 Mr Varun Jain Male Sri Guru Granth Sahib World University Punjab Assistant Professor Punjabi University 2004
10 198 Mr Jai Prakash Jaiswal Male Maulana Azad National Institute of Technology

Bhopal

 Madhya Pradesh Assistant Professor Purvanchal University Jaunpur 2007
11 68 Mr DINESH KUMAR Male Deen Dayal Upadhyaya College,University Of Delhi Delhi Guest Lecturer M.Sc Maths, Hindu College, Univ.Of Delhi 2009
12 207 Dr Rakesh Kumar Male University College of Engineering, Punjabi University Punjab Assistant Professor Punjabi University, Patiala 2002
13 219 Mr. MANOJ KUMAR Male HANSRAJ COLLEGE(UNIVERSITY OF DELHI) DELHI Assistant Professor IIT DELHI 2009
14 251 Mr. Sangeet Kumar Male Rayat Institute of Engineering & Information Technology, Railmajra, SBS Nagar Punjab Assistant Professor Guru Nanak Dev University, Amritsar 2008
15 260 Dr. Rajesh Kumar Male Dept.of Mathematics
Pachhunga University College
(Mizoram University)		 Mizotram Assistant Professor Purvanchal University, S.C. Collega, Ballia 1999
16 212 Dr. Devakar M Male Visvesvaraya National Institute of Technology Nagpur Maharashtra Assistant Professor University of Hyderabad 2004
17 215 Dr. PALLAVI MAHALE Female VISVESVARAYA NATIONAL INSTITUTE OF TECHNOLOGY Maharashtra Assistant Professor DEVI AHILYA UNIVERSITY INDORE 2003
18 300 Mr. Triloki Nath Male NIT Mizoram Mizoram Assistant Professor BHU, Varanasi 2003
19 109 Dr. Manoj Kumar Pandey Male University Institute of Technology, Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal M.P. Assistant Professor A.P.S. University, rewa, (M.P.) 2002
20 33 Dr Avijit Sarkar Male The University of Burdwan West Bengal Assistant professor Kalyani University 2002
21 238 Dr Aftab Hussain Shah Male Government Degree College Poonch. Jammu and Kashmir Assistant Professor Aligarh Muslim University, Aligarh 2004
22 190 Dr. Jitender Singh Male Guru Nanak Dev University, Amritsar Punjab Assistant Professor Panjb University, Chandigarh 2002
23 188 Dr Raja Sekhar Tungala Male NIT Rourkela orissa Assistant Professor University of Hyderabad 2002
24 233 Mr. MAHESH SAHEBRAO WAVARE Male RAJARSHI SHAHU MAHAVIDYALAYA ,LATUR Maharashtra HEAD PUNE UNIVERSITY,PUNE 2000
25 293 Mr. Chandra Shekhar Male Deshabandhu College DELHI Assistant Professor BHU, Varanasi 2008

How to reach the venue: ISI, Kolkata

Direction
The ISI campus lies five kilometers North of the Shyambazar five-point crossing. If you are coming from the airport, drive towards Dunlop Bridge (via Nager Bazar and Chiria More). If you are coming from the downtown area or one of the railway stations, you will have to drive past Shyambazar and Chiria More. As you approach Dunlop Bridge, the boundary wall of the ISI campus will be visible on your left. The residential campus is at the Bus Stop called Bon Hooghly and the office campus is at the Bus Stop called ISI or Statistical. The Bus Stop further to the Statistical Bus Stop is Dunlop Bridge, which is an important landmark. Dunlop Bridge is also a useful way of describing the general destination when you are asking for directions.

 

Taxi
If you are coming from the airport or one of the railway stations, it is better to hire a taxi from the prepaid taxi booth. The prepaid taxi fare is marginally higher than normal (approximately Rs. 140 from the airport, Rs. 130 from Howrah, and Rs. 110 from Sealdah) but it is a surer and safer mode of transport. While hiring a prepaid taxi, mention Dunlop Bridge as your destination.

Meter information :

  1. Mechanical meters (an old box attached outside the cab):
    Initial Reading: Rs. 5.00
    Total Fare: Rs. 4 x meter reading  + Rs. 2
  2. Electronics meters (usually attached inside the cab):
    Initial Reading: Rs. 10.00
    Total Fare: Rs. 2 x meter reading + Rs. 2
  3. Extra charges for taking a taxi to the airport: Rs. 10

The taxi driver is also supposed to carry a conversion chart with the validation date clearly marked on it.

 

Buses

 There are a large number of buses and minibuses that pass by the Institute campus. Almost any bus that goes to Dunlop Bridge passes by the ISI gates.

Buses from Howrah station: 11, S11, S32, GL32
Buses from Jessore Road (near the Airport) : DN9, DN9/1
The buses that pass by the ISI gates are 11, 32A, 34B/1, 78, 78/1, 201, 214, 230, 234, DN9, DN9/1, L9A, L20, L20A, S9, S11, S32, GL32, GLS32, and SS4.. The minibuses plying from Howrah to Nimta/Belgharia/Rathtala, from BBD Bag to Dunlop Bridge, from Babughat to Sodepur/New Barrackpore and from Metiaburuj to Srirampur go past the ISI gates before reaching Dunlop Bridge. While riding the bus from the city, the major bus stops on your way (from South to North) would be Shyambazar, Chiria More, Sinthi More and Tobin Road. The Bon Hooghly Bus Stop is just North of the Bus Stop at Ananya Cinema. This is where you have to get down in order to enter the residential campus. The next Bus Stop is ISI/Statistical, which is located just outside the entrance of the main office campus at 204, B.T. Road.
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