Algebra & Multivariate Calculus (2021)

INSA - NCM joint TEW

Convener(s)

 
Name:  Dr. Punam Gupta Dr. Sanjay Kumar Singh
Mailing Address: (Local Organizer)
Department of Mathematics & Statistics
Dr. Harisingh Gour Vishwavidyalaya
Sagar-470 003, M.P.		 Department of Mathematics
Indian Institute of Science Education & Research
Bhopal-462 066, M.P.
Email: punam2101 at gmail.com  sanjayks at iiserb.ac.in

The proposed TEW aims at highlighting the applications of algebra and multivariate calculus, two subjects that are basic to mathematics and science. The workshop would demonstrate to the participants how linear algebra and multivariate calculus are related and could be useful objects for mathematicians, engineers and physicists. The workshop would equip university, college teachers and engineering teachers with enough examples so that the process of mathematics teaching and learning could be made more meaningful and joyful. In addition, speakers would highlight the importance to study linear algebra and multivariate calculus.

Click here to download poster

Dates: 

Friday, January 8, 2021 - 19:00 to Sunday, February 14, 2021 - 19:00

Venue: 

Venue City: 

Chrono Order: 

359

Syllabus: 

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

Name of the Speaker with affiliation, who will covereach module of 6 lectures. No. of Lectures Detailed Syllabus
Prof. C.S. Dalawat, Harish Chandra Research Institute, Prayagraj 6 Vector spaces and their basic properties, Linear Transformations and Matrices, Change of Basis, Quotient Spaces, Rank and Nullity theorem. Determinants, Eigenvalues and Eigenvectors, Cayley- Hamilton Theorem, Decomposition theorems, Diagonalisation, Some application. Modules, Modules versus Vector Spaces, Free Modules, Matrices over PIDs, Smith Normal Form, Finitely Generated Modules over PIDs and their structure, Rational and Jordan Canonical Forms.
Dr. Sanjay Kumar Singh, Indian Institute of Science Education and Research (IISER) Bhopal. 6 Symmetries of equilateral triangle and square; translations, rotations and reflections in the Euclidean plane. Group, subgroup, cyclic group, examples, Group homomorphism and normal subgroup, kernel and image of a homomorphism, quotient group, isomorphism theorems, Permutations of a finite set, permutation group Sn, Group action, class equation, Sylow’s Theorems and applications. Example of Matrix group over real and complex numbers. Group of symmetries of geometric objects in Euclidean spaces, dihedral group as the group of symmetries of a regular polygon, isometries of the Euclidean space, symmetries, platonic solids and their dual, symmetries of a tetrahedron, symmetries of a cube and octahedron, symmetries of icosahedron and dodecahedron, finite subgroups of SO(2) and SO(3).
Dr. Siddhartha Sarkar, Indian Institute of Science Education and Research (IISER) Bhopal. 6 Basics of metric spaces, norms induced by inner products, Cauchy Schwarz inequality, equivalence of norms on finite dimensional vector spaces. Limits and continuity, Derivative as a linear map, examples from first principle, chain rule, directional derivative and partial derivative, examples. Sufficient condition for existence of total derivative, equality of mixed partial derivatives, Taylor’s theorem up to second order and applications to maxima and minima, method of Lagrange multipliers, Mean value and Implicit function theorem.

 References:

  1. Online Notes: http://www.mathe2.uni-bayreuth.de/stoll/lecture-notes/LinearAlgebraI.pdf
  2. T.S. Blyth, Module Theory: An Approach To Linear Algebra
  3. Mark A. Armstrong, Groups and Symmetry, Springer, 1997.
  4. Online Notes on Groups and symmetry: http://www.maths.gla.ac.uk/~ajb/dvi-ps/2q-notes.pdf
  5. Tom Apostol, Mathematical Analysis.
  6. Walter Rudin, Principles of Mathematical Analysis.

Names of the Tutors / Course Associates with their affiliation and status:

  1. Dr. Punam Gupta, (Assistant Professor)
    Dr. Harisingh Gour Vishwavidyalaya.
  2. Dr. Triloki Nath, (Assistant Professor)
    Dr. Harisingh Gour Vishwavidyalaya.
  3. Dr. R.K. Pandey, (Assistant Professor)
    Dr. Harisingh Gour Vishwavidyalaya.

 

 

Time Table: 

Tentative Time-Table:

 

Day

Date

Lecture /Tutorial

5 PM- 6 PM

Lecture /Tutorial

3.30 PM- 4.30 PM

Friday

08/01/2021

L1: CSD

 

Saturday

09/01/2021

L2: CSD

 

Sunday

10/01/2021

L3: CSD

T1:  PG,TN

Friday

15/01/2021

L4: CSD

 

Saturday

16/01/2021

L5: CSD

 

Sunday

17/01/2021

L6: CSD

T2:  PG,TN

Friday

22/01/2021

L7: SKS

 

Saturday

23/01/2021

L8: SKS

 

Sunday

24/01/2021

L9: SKS

T3: TN,RKP

Friday

29/01/2021

L10: SS

 

Saturday

30/01/2021

L11: SS

 

Sunday

31/01/2021

L12: SS

T4: TN,RKP

Friday

05/02/2021

L13: SKS

 

Saturday

06/02/2021

L14: SKS

 

Sunday

07/02/2021

L15: SKS

T5: PG,RKP

Friday

12/02/2021

L16: SS

 

Saturday

13/02/2021

L17: SS

 

Sunday

14/02/2021

L18: SS

T6: PG,RKP

 

 

CSD: Prof. C.S. Dalawat
SKS: Dr. Sanjay Kumar Singh
SS: Dr. Siddhartha Sarkar
PG: Dr. Punam Gupta
TN: Dr. Triloki Nath
RKP: Dr. R.K. Pandey

 

 

Selected Applicants: 

Instructions for participants:

      Please check your mails regularly for all details related to the program. 

 

Sr.n SID Full Name Gender Affiliation Position in College/University Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 31766 Dr. Priya Das Female BANASTHALI VIDYAPITH Asst. Prof. 2010 11/07/2018
2 32397 Mr. Bhagwan Kumar Male Dr. Hari Singh Gour University Ph.D as well as Project Fellow. 2018  
3 32399 Ms Shivani Khare Female Dr. Hari Singh Gour Vishwavidyala, Sagar, Madhya Pradesh. Ph. D. 2018  
4 32403 Mrs Abeka Khare Female Shaheed Bhagat Singh govt. College Asst. Prof. 2012  
5 32683 Mr Pramendra Kumarrajak Male Adina Institute of Science and Technology Sagar Asst. Prof. 2013  
6 32691 Mr. Ajit Kumar Male Dr. Harisingh Gour University Sagar,M.P PhD 2014  
7 32693 Miss Deepti Sahu Female Babulal Tarabai Institute of Research and Technology Teacher 2019  
8 32699 Dr Karthik.R Rajeswaran Male Velammal engineering college Asst. Prof. 2005 30/05/2015
9 32703 Mr. Chandra Prakash Male Ramjas College, University of Delhi Asst. Prof. 2008  
10 32704 Dr Reji Kumar Karunakaran Male Department of Mathematics
N S S College Cherthala		 Asst. Prof.   04/04/2006
11 32723 Dr Meram Munirathnam Male RAJIV GANDHI UNIVERSITY OF KNOWLEDGE TECHNOLOGIES, R.K.VALLEY Asst. Prof. 2008 11/11/2013
12 32726 Prof Dr. Shweta Singh Female JAGRAN LAKECITY UNIVERSITY Asst. Prof. 2007 28/11/2013
13 32739 Mr. Sachin Machindra Vyavahare Male Tolani Maritime Institute Asst. Prof. 2003  
14 32806 Dr. Lakshmi Narayanmishra Male VIT University,  Vellore 632 014, Tamil Nadu, India Asst. Prof. 2012 24/02/2017
15 32960 Prof. Vishnu Narayanmishra Male Indira Gandhi National Tribal University, Lalpur, Amarkantak
Anuppur		 Associate Prof and Head 2002 30/07/2007
16 34015 Mrs. Shruti Tiwari Female Dr.Harisingh Gour Vishwavidyalaya Research Scholar 2011  
17 34682 Ms. Athira Babu Female Cochin University of Science and Technology PhD 2016  
18 34693 Mr. Ranjit Gangadharghumde Male Shri Ramdeobaba college of engineering and management Nagpur Asst. Prof. 2007 07/02/2017
19 34708 Dr Gobinda Chandrapanda Male mahavir institute of engg and technology Asso. Prof 2005 07/03/2011
20 34726 Mr. Vijay Jayantibhaisolanki Male Government Engineering College Bharuch Asst. Prof. 2009  
21 34757 Dr. Mohd Sarfaraz Male Jaypee Institute of Information Technology, Sector 128 Asst. Prof. 2012 28/10/2018
22 34759 Dr. Harsha Arora Female Govt. College Hansi Asso. Prof. 2004 08/11/2016
23 34760 Mrs Ramalakshmi R Female Rajapalayam Rajus' College Asst. Prof. 2011  
24 34763 Mr. Mohana K. S Male Mangalore University Asst. Prof. 2008  
25 34764 Mr. Chhatra Pal Male Atma Ram Sanatan Dharma College, University of Delhi Asst. Prof. 2010  
26 34766 Dr. Lakhveer Kaur Female Jaypee Institute of Information Technology, Sector 128, Noida Asst. Prof. 2008 12/11/2013
27 34768 Mr Mohamed Rajik Male Sri Ramakrishna College of Arts and Science Asst. Prof. 2005  
28 34784 Ms. Priyanka Relhan Female Govt. College,Hansi Asst. Prof. 2015  
29 34788 Dr Navneet Lalsharma Male Amity University Gurgaon Asst. Prof. 2008 15/04/2016
30 34790 Dr Nirmalkumar Rajendran Male SRI RAMAKRISHNA MISSION VIDYALAYA COLLEGE OF ARTS AND SCIENCE Asst. Prof. 2014 07/12/2018
31 34796 Mr. Rahul Arora Male Not Applicable Not Applicable 2008  
32 34802 Mr. Anil Singh Male Govt. M.A.M College Asst. Prof. 2012  
33 34806 Dr Apeksha Prajapati Female Nirmala College, Ranchi Asst. Prof. 2007 12/01/2017
34 34807 Dr. Mohit Kumar Male UTTARANCHAL UNIVERSITY, DEHRADUN, UTTARAKHNAD Asst. Prof. 2012 28/09/2017
35 34813 Mr Mohamed Harifb Male Rajah Serfoji Government College(Autonomous) Asst. Prof. 2006 23/02/2019
36 34829 Mrs M Kavitha Sasva Female Rajapalayam Rajus' College Asst. Prof. 2004  
37 34839 Mr. Narinder Kumar Male Vaishno College of Engineering/HPTU HP Asst. Prof. 2004  
38 34841 Dr. Abul Kalammondal Male Acharya Prafulla Chandra College Asst. Prof. 2005 15/02/2011
39 34855 Dr. Mini Verma Female IMS NOIDA Asst. Prof. 2006  
40 34856 Dr. Jogendra Kumar Male DIT University Asst. Prof. 2005 11/10/2011
41 34857 Dr. Gyan Chandra S.Yadav Male University of Allahabad, Allahabad (Prayagraj) Asst. Prof. 2004 05/05/2010
42 34858 Dr Sujeet Kumarsingh Male Indian Institute of Management Jammu Asst. Prof. 2011 12/04/2016
43 34861 Ms. Kavita Jain Female Guru Jambheshwar University of Science & Technology, Hisar Senior Research Fellow 2014  
44 34864 Mrs. Sankari Aliasdeepa Female Rajapalayam Rajus' College Asst. Prof. 2015  
45 34868 Mr. Sachin Kumar Male Government College Daman Asst. Prof. 2018  
46 34871 Dr. Phonindra Nath Das Male Memari College Asst. Prof. 2011 07/05/2018
47 34881 Mr Nitin Ambadaskatake Male Central University of Kashmir Asst. Prof. 2007  
48 34887 Dr. Amplify Sawkmie Male St. Edmund's College, Shillong Asst. Prof. 2012 20/08/2018
49 34893 Dr K Jayalakshmi Female Jawaharlal Nehru Technological University Asso. Prof. 2002 10/12/2010
50 34925 Dr Nirmala M Female Sathyabama Institute of Science and Technology Asst. Prof. 1995 08/07/2013
51 34928 Dr. Shouvik Bhattacharya Male Tripura University Asst. Prof. 2006 22/09/2015
52 34959 Dr S K Pandey Male SPUP, Jodhpur Asst. Prof. 2000 03/05/2013
53 34970 Dr Amit Sehgal Male Pt. NRS Government College, Rohtak Assistant professor in mathematics 2005 28/11/2017
54 34999 Dr. Poornima Tiwari Female The Bhopal School of Social Sciences Asst. Prof. 2008 08/11/2020
55 35006 Mr Bala Samuvelj Male Alpha Arts & Science College College Asst. Prof. 2013  
56 35159 Dr. Anil Sharma Male Symbiosis International (Deemed  University) Asst. Prof. 2013 09/04/2018
57 35253 Dr Sirivarm Srilakshmi Female J.N.T.U.(A)College of Engineering Asst. Prof. 1992 13/09/2012
58 35258 Dr. Krishnendu Das Male Netaji Subhas Mahavidyalaya Asst. Prof. 2009 14/08/2018
59 35259 Mr. Jayakumar Koodalingam Male Dhanalakshmi College of Engineering Asst. Prof. 2002  
60 35269 Dr Balakumar V Male National Institute of Technology Puducherry Faculty (on contract) 2009 02/08/2014
61 35294 Mr. Anupam Garai Male Memari College Asst. Prof. 2005 16/04/2016
62 34818 Mr. Chamkaur Singh Male  DEPARTMENT OF STATISTICS PUNJABI UNIVERSITY PATIALA Asst. Prof. 20016  

 

 

 

School Short Name: 

amc

Last Date Application: 

Monday, November 25, 2019

School Type: 

TEW