Linear Algebra, Multivariable Calculus and Complex Analysis (2023)

Convener(s)

Name: Prof. Thirupathi Gudi Prof. Rushi Kumar B Dr. Sanjay Kumar Mohanty Dr. Sunanda Saha
Mailing Address: Department of Mathematics IISC Bangalore Department of Mathematics VIT Vellore Department of Mathematics VIT Vellore Department of Mathematics VIT Vellore
Email: gudi at iisc.ac.in rushikumar at vit.ac.in sanjaykumar.mohanty at vit.ac.in sunanda.saha at vit.ac.in

In each course, we will cover the basics of the subject and try to explain the most fundamental concepts well. The audience is expected to have already seen the material in some form or another. However, by experience, many teachers might still need to thoroughly explore the concepts' meaning. Some basic concepts like analytic functions or linear transformations sometimes need to be clarified. The main goal is to convey the underlying meaning behind these abstract-looking notions. In addition, we intend to have many tutorials/problem sessions to supplement the lectures. The workshop's goal will be to bring the teachers to a level where they can solve problems at the level of the JAM exam, the NBHM exam, or the NET exam and thus benefit the students. This program will have a considerably positive effect on students in many colleges/universities.

Dates: 

Monday, June 5, 2023 - 19:00 to Saturday, June 10, 2023 - 19:00

Venue: 

Venue Address: 

 

 

Vellore Institute of Technology, Vellore, Tamil Nadu

 

Pincode: 632014

 

Venue State: 

Venue City: 

PIN: 

632014

Chrono Order: 

434

Syllabus: 

 

Syllabus to be covered in terms of modules of 6 lectures each:

Name of the Speaker with affiliation, who will cover each module of 6 lectures.

No. of Lectures

Detailed Syllabus

Prof. G. Bharali

Professor, Department of Mathematics

IISC Bangalore

6

Multivariable calculus Part 1: Review of Euclidean Spaces, Derivatives, Partial Derivatives and the Chain Rule, Taylor’s formula, Maxima and Minima

Prof. S. Thangavelu

Professor, Department of Mathematics

IISC Bangalore

6

Complex Analysis: Analytic functions, Harmonic functions, Power Series, Taylor's series, Complex Integrations, Rouché’s theorem and applications of the Residue Theorem, with an emphasis on computing/estimating improper Riemann

integrals via contour integration.

Prof. R. Venkatesh

Assistant Professor, Department of Mathematics

IISC, Bangalore

6

Linear Algebra: Vector spaces, Bases; Linear transformations; Eigen values and eigen vectors; Diagonalisation and Triangularisation of linear operators; Determinants of linear transformations and their elementary properties.

 

Prof. Thirupathi Gudi

Professor, Department of Mathematics

IISC Bangalore

6

Multivariable calculus Part 2: Evaluation of multiple integrals, change of order of integration, Gradient, divergence, curl, etc. Greens' theorem and Stoke's theorem, evaluation of Integrals using them, Inverse function theorem

 

References:

  • Linear algebra:

Gilbert Strang, Linear Algebra and Its Applications Sheldon Axler, Linear algebra done right
David C Lay, Linear Algebra and its applications Otto Bretscher, Linear Algebra with Applications

  •  Multivariable calculus:

Apostol, T. M., Mathematical Analysis Spivak, M., Calculus on Manifolds
Sudhir R Ghorpade, Balmohan V Limaye, A course in Multivariable, Calculus and Analysis Joel R Hass, Christopher E Heil, Maurice D Weir, Thomas’ Calculus
James Stewart, Multivariable Calculus
Peter D Lax and Maria Shea Terrell, Multivariable Calculus with Applications

  •  Complex analysis:
    S. Ponnusamy, Foundations of Complex Analysis
    S. Ponnusamy and H. Silverman, Complex Variables with Applications
    L. V. Ahlfors, Complex Analysis
    James Ward Brown and Ruel V. Churchill, Complex Variables and Applications Erwin Kreyszig, Advanced Engineering Mathematics

 

 Names of the tutor(s) / course associate with their affiliation and status:
    1. Dr. Abhishek Das, Assistant Professor, VIT Vellore
    2. Dr. Ankush Chanda, Assistant Professor, VIT Vellore
    3. Dr. Gouranga Mallick, Assistant Professor, VIT Vellore

 

 

 

 

Time Table: 

 Time-table(with names of speakers and tutors):

Day

Date

Lecture 1

9.30–10.30

Tea

10.35–10.55

Lecture 2

11.00–12.00

Lecture 3

12.05–1.05

Lunch

1.05–2.25

Lecture 4

2.30-3.30

Discussion/ Tutorial

4.00-5.00

Tea
& Snacks

5.05-5.30

 

 

(name of the speaker

 

(name of the speaker)

 

 

Name of the speaker

Name of the speaker/tutor

 

Mon

 

GB

 

ST

GB

 

ST

VR/AD

 

Tues

 

ST

 

GB

ST

 

GB

TG/AC

 

Wed

 

GB

 

ST

GB

 

ST

VR/GM

 

Thu

 

TG

 

RV

TG

 

RV

VP/AD

 

Fri

 

RV

 

TG

RV

 

TG

ST/AC

 

Sat

 

TG

 

RV

TG

 

RV

VP/ GM

  

GB: Prof. G. Bharali

ST: Prof. S. Thangavelu

TG: Prof. Thirupathi Gudi

 RV: Prof. R. Venkatesh

AD: Dr. Abhishek Das

AC: Dr. Ankush Chanda

GM: Dr. Gouranga Mallick

 

Selected Applicants: 

 

The following are the instructions for the participants:

  • It is compulsory to attend every lectures
  • TA/DA will not be given other than lunch and snacks during the workshop
  • Paid Accommodation can be arranged in campus on request (first come first serve)
  • Gents Hostel Charge: Rs. 450 per day and Ladies Hostel charge: Rs. 550 per day
  • Breakfast: Rs. 80 per day and Dinner: Rs. 90 per day
Serial SID Full Name Gender Affiliation Position in College/ University University/ Institute M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 46403 Dr. Murugan Varadhan Male Vellore Institute of Technology Assistant Professor Anna University, Chennai 2009 18/11/2019
2 46426 Mr. Varadha Raj Manivannan Male Research Scholar, Department of Mathematics, School of Advanced Science, Vellore Institute of Technology Research Scholar Thiruvalluvar university / Scared Heart College 2019  
3 46457 Ms. S. S Female VIT University PhD Mathematics 2020  
4 46483 Dr. Parvez Alam Male Vellore Institute of Technology (VIT), Vellore – 632014, Tamil Nadu Assistant Professor Master of science and mathematics 2013 16/11/2018
5 46484 Dr. Tabinda Nahid Female Vellore Institute of Technology (VIT), Vellore Assistant Professor Aligarh Muslim University, Aligarh 2013  
6 46507 Mr. Mohammed Salman M Male VIT PhD Thiruvalluvar University 2019  
7 46590 Mr Naveen Kumar P Male Vellore Institute of Technology PhD   2020  
8 46983 Mr. Muniyappan M            
9 46747 Mr. Clement Johnson R Male Vellore Institute of Technology Research Scholar Loyola College 2018  
10 46884 Dr. Radhakrishnan Mohanasundaram Male SRM University AP Assistant Professor Ramanujan Institute for Advanced Study in Mathematics University of Madras 2011 10/04/2021
11 46888 Dr. Sethukumarasamy K Male Vellore Institute of Technology Chennai Assistant Professor University of Madras 2010 02/03/2022
12 46936 Mr Tharun Balasubramaniam Male Vellore Institute of Technology, Vellore PhD Kongu Arts and Science College 2021 01/08/2022
13 46941 Mr Mahesh Kumar C V Male Vellore Institute of Technology PhD Madras University 2021  
14 46956 Mr Yadaiah Venkat Male Palamuru University post Graduate center - Kollapur Assistant professor ( contract) Kakatiya University 2001  
15 46989 Mr. Sugumar Raji Male C. Abdul Hakeem College (Autonomous) Assistant Professor, NSS Programme Officer Madras University/Loyola college/M.Sc 2013  
16 48870 Dr. Harsha Kharbanda            
17 47046 Mr Nandeesh M Male Bharathi College (Autonomous) , Bharathinagara ASSISTANT PROFESSOR University of Mysore 2013  
18 47108 Mr Soumen Roy Male KREA UNIVERSITY TEACHING FELLOW IIT MADRAS CHENNAI 2013  
19 47129 Mrs Archana . Female Bharathi College Assistant Professor University of Mysore 2016  
20 47143 Mrs. Revathi C Female D.K.M College for Women(Autonomous) M.Phil/Assistant Professor M.Sc 2005  
21 47157 Mrs Bharathi M Female C.M. ANNAMALAI ARTS AND SCIENCE COLLEGE FOR WOMEN Asst professor Madras university 2017  
22 47164 Ms Fathima Hida M P Meethal Female VIT, Vellore Research scholar Jamia Millia Islamia , New Delhi 2022  
23 47250 Mr Senthilnathan C Male Government Thirumagal Mills College Assistant Professor Government Thirumagal Mills College 2013 12/12/2021
24 47254 Dr Vijayalakshmi B B Female Dkm college for women, Vellore Asst professor MSC Mathematics 2000 10/08/2020
25 47319 Mrs. Priya R Female Sree Abiraami Arts and Science College for Women Assistant Professor Arcot Sri Mahalakshmi Womens College - Villapakkam, Arcot under Thiruvalluvar University 2011  
26 47357 Mr. Temjensangba Temjensangba Male Nagaland University Assistant Professor National Institute of Technology Calicut 2019  
27 47360 Dr Sethu Meenakshi Female Fatima College Assistant Professor Thiagarajar College of Engineering 2013 30/04/2021
28 47378 Mr Thirumavalavan T.R. Male Government Thirumagal Mills College Assistant professor University of Madras 2004  
29 47390 Mr. Suresh M Male S.S.S COLLEGE OF ARTS SCIENCE AND MANAGEMENT ASSISTANT PROFESSOR THIRUVALLUVAR UNIVERSITY 2011  
30 47419 Dr G Jagan Kumar Male Sree Abiraami arts and science college for women Assistant professor Voorhees college 2013 05/05/2022
31 47924 Ravindra Khatta Male   Assistant Professor      
32 47500 Ms Nikhila Raghuthaman Female Banasthali Vidyapith Assistant Professor MSc 2011  
33 47560 Dr. Angel Joy Rathinasamy Female Sri G.V.G Visalakshi College for Women(Autonomous) Associate Professor Sri G V G Visalakshi College for Women, Udumalpet 1990 19/07/2019
34 47571 Dr. Padmavathi Perumalsamy Female Sri G.V.G Visalakshi College for Women (Autonomous) Assistant Professor Sri G V G Visalakshi College for Women, Udumalpet 1996 20/07/2022
35 47916 Ms. Priyanka Chandra Female Vellore Institute of Technology, Vellore PhD Guru Ghasidas Vishwavidyalaya, Bilaspur, Chhattisgarh, India, 495001 2021  
36 48390 Mr. Janendra Banjare Male Maharshi Vedvyas Govt. P.G. College Bhakhara Assistant Professor Dr. Harisingh Gour Vishwavidyalaya Sagar M.P. 2016  
37 48286 Mr Gnanam Mahesh Kalakaoi Male AGURCHAND MANMULL JAIN COLLEGE Assistant Professor Loyola College 2013  
38 48296 Dr. Arun Kumar Badajena Male Vellore Institute of Technology Asst. Prof. Ravenshaw University Odisha 2015 06/12/2022
39 48302 Mr. Manoharan Annamalai Male Ganadipathy Tulsi's Jain Engineering College Assistant Professor C.Abdul Hakeem college 2004  
40 48306 Ms. Priyanka T M C Female Vellore Institute of Technology PhD Gobi Arts & Science College 2019  
41 48331 Mr Rahul M P Male Vellore Institute of Technology PhD Central University of Kerala 2019  
42 48424 Dr. Singamsetty Purusotham Male Vellore Institute of Technology Associate Professor Sri Venkateswara University 2006 04/08/2011
43 48427 Dr. Praveen M Male Vellore Institute of Technology, Vellore Assistant Professor Grade I Central University of Kerala 2014 28/01/2021
44 48432 Dr. Sumit Sumit Male Vellore Institute of Technology Vellore Asst. Professor Chaudhary Charan Singh UNiversity Meerut, Uttar Pradesh 2015 29/04/2021
45 48447 Dr. Sripathy Budhi Male Vellore Institute of Technology, Vellore Assistant Professor Anna University 2004 30/05/2016
46 48448 Dr Ragukumar P Male VELLORE INSTITUTE OF TECHNOLOGY ASSISTANT PROFESOR ANNA UNIVERSITY 2004 16/02/2015
47 48453 Prof. Indhira K Female VELLORE INSTITUTE OF TECHNOLOGY PROFESSOR BHARATHIAR UNIVERSITY 1992  
48 48524 Dr. Rajaji R Male V.O.Chidambaram College Assistant Professor Bharathidasan University 2011 06/07/2017
49 48593 Ms. Shanmuga Sundari G Female VELLORE INSTITUTE OF TECHNOLOGY, VELLORE Ph.D. PRESIDENCY COLLEGE, CHENNAI 2018  
50 48672 Mr. Thangeshwaran M Male PERIYAR UNIVERSITY CENTRE FOR POST GRADUATE AND RESEARCH STUDIES GUEST LECTURER PERIYAR UNIVERSITY 2013  
51 48700 Dr Sanghasri Mukhopadhyay Female Vellore Institute of Technology Assistant Professor South Asian University, New Delhi, India 2016 02/11/2020
52 48710 Dr. Saravanakumar K Male GANDHIGRAM RURAL INSTITUTE GUEST/ PART TIME TEACHER THE MADURA COLLEGE 2011 23/02/2018
53 48721 Dr Jagadeeswari Murugan Female Vellore Institute of Technology, Vellore Assistant Professor Kongu Arts and Science College, Erode 2012 04/06/2021
54 47911 Ms. Saniya Suhail Female          
55 48768 Ms Ezhilarasi Rajendran Female University of Madras Assistant professor Anna University 2007 08/04/2021
56 48787 Dr. Vimala Rani A Female AMET UNIVERSITY ASSISTANT PROFESSOR Thiruvalluvar University 2014 10/11/2022
57 48871 Dr. Monika Arora Female Miranda House, University of Delhi Associate Professor University of Delhi 2002 30/12/2020
58 48878 Dr. Shweta Gandhi Female Miranda House, University of Delhi Assistant Professor University of Delhi 2012 11/02/2019
59 49025 Dr. J . Devendra Male GITAM (Deemed to be University) Bengaluru Assistant Professor Sri Venkateswara University 2015  
60 49112 Dr Gowsalya Mahalingam Female Vellore Institute of Technology ASSISTANT PROFESSOR Anna University 2012 14/12/2017

 

 

How to Reach: 

TBA

School Short Name: 

lamcca

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0