Linear Algebra, Differential and Integral Calculus (2026)

Convener(s)

 
Name: Prof. Pralay Chatterjee  Dr. Y Ramu Naidu Dr. Shakti Prasad
Mailing Address: Professor
Institute of Mathematical Sciences,
CIT Campus, Taramani, Chennai 600113		 Assistant Professor
Department of Mathematics,
National Institute of Technology Jamshedpur Jharkhand,
India – 831014		 Associate Professor
Department of Mathematics,
National Institute of Technology Jamshedpur Jharkhand,
India – 831014
Email: pralay at imsc.res.in  ramunaidu.math at nitjsr.ac.in sprasad.math at nitjsr.ac.in

The National Centre for Mathematics (NCM) organizes the Teachers' Enrichment Workshop (TEW) (2025) to familiarize college mathematics educators with key topics in their respective subjects at the undergraduate or postgraduate level. This workshop primarily targets teachers from colleges and universities in Jamshedpur, while also welcoming applications from interested educators in other regions. The primary focus is on a leisurely exploration of fundamental concepts in Linear Algebra, Differential and Integral Calculus through interactive lectures, with a strong emphasis on developing effective problem-solving skills.
Please note that the Teacher Enrichment Workshop (TEW) is exclusively intended for college teachers in the local area. The workshop's lectures specifically address topics directly relevant to the teachers' classroom teachings. Typically lasting for 5/6 days, TEW includes a crucial element— the discussion hour—providing teachers with valuable opportunities to seek clarification and have their doubts addressed.

Dates: 

Monday, August 3, 2026 - 09:00 to Saturday, August 8, 2026 - 21:00

Venue: 

Venue Address: 

 Dr. Y Ramu Naidu
Assistant Professor Department of Mathematics,
National Institute of Technology Jamshedpur Jharkhand, India – 831014
Tel. 7978812189

 

 

 

 

 

 

  

 

 

 

Venue State: 

Venue City: 

PIN: 

831014

Syllabus: 

 

  

Name of the Speaker with affiliation

N o . of Lectures

Detailed Syllabus

 

Prof. Pralay Chatterjee,
Professor,
Institute of Mathematical Sciences, Chennai.

8

Vector spaces, Linear dependence and independence of vectors, Basis and dimension, Linear maps, Rank-nullity theorem, Matrix representation of linear maps, singular value decomposition, Row reduction, Row reduced echelon matrix, Row rank, Column rank, Solving system of linear homogeneous and non-homogeneous equations, row echelon form, reduced row echelon form, Gauss elimination, Cramer's rule, Eigen values, Eigen vectors, diagonalizability, Bilinear forms, and Spectral theorem for normal operators.

Dr. Y Ramu Naidu
Department of Mathematics,
NIT Jamshedpur.

4

Limit of a function, continuity and differentiability, Partial differentiation, Total differentiation, Euler’s theorem and generalization, Change of variables- Jacobians, Maxima and minima of functions of several variables (2 and 3 variables), Lagrange’s method of multipliers.

 

Dr. Shakti Prasad
Department of Mathematics,
NIT Jamshedpur.

4

Convergence of improper integrals, Beta and Gamma integrals, Differentiation under integral sign, Double and Triple integrals - computation of surface areas, volumes, change of variables in double and triple integrals.

Dr. Sreenivasa Rao Y
Associate Professor 
Department of Mathematics,
National Institute of Technology Warangal

8

Scalar and vector fields, vector differentiation, level surfaces, directional derivative, Gradient of a scalar field, Divergence and curl of a vector field, Laplacian, Line and Surface integrals, Green’s theorem in a plane, Stokes’ theorem and Gauss divergence theorem.

 References:
    1. Linear Algebra and its Applications. by Gilbert Strang, Wellesley-Cambridge Press.
    2. Linear Algebra, Hoffman and Kunze, Pearson publications.
    3. Algebra, M. Artin, Pearson Publications.
    4. Thomas’ Calculus by Maurice D. Weir, Joel Hass, Christopher Heil and Przemyslaw Bogacki, Pearson.
    5. One-variable calculus, with an introduction to linear algebra. Vol. 1. Apostol, Tom M.

        

Full forms for the abbreviations of speakers andt utors:

S. No.

Name

Affiliation

1

Prof.Pralay Chatterjee (S1)

Dept. of Mathematics,IMSc Chennai

2

Dr.Y Ramu Naidu (S2)

Dept. of Mathematics, NIT Jamshedpur

3

Dr.Shakti Prasad (S3)

Dept. of Mathematics, NIT Jamshedpur

4

Dr.Y. Sreenivasa Rao (S4)

Dept. of Mathematics, NIT Warangal

Name of  the tutors:

S. No.

Name

Affiliation

1

Prof. Pralay Chatterjee (T1)

Dept. of Mathematics, IMSc Chennai

2

Dr.Y. Sreenivasa Rao (T2)

Dept. of Mathematics, NIT Warangal

3

Dr.Y Ramu Naidu (T3)

Dept.of Mathematics, NIT Jamshedpur

4

Dr.Shakti Prasad (T4)

Dept.of Mathematics, NIT Jamshedpur

 

 

 

 

 

 

 

 

 

 

 

Time Table: 

 

  

Day

Date

Lecture1

(9.30–

10.30)

Tea
(10.35
to
10.55)

Lecture2

(11.00
to
12.00)

Lecture3

(12.00 to1.00)

Lunch
(1.00 –

Lecture 4

(2.30-3.30)

Tea
(3.35 to
3.5)

Discussion

(4.00-500)

Snacks

(5.05 –

 

 

(Speaker’ s name)

 

(Speaker’ s name)

(Speaker’ s name)

 

(Speaker’ s name)

 

(Tutor’s name)

 

Mo

03.08.202

S1

 

S2

S1

 

S2

 

T1,T3,T4

 

Tue

04.08.202

S1

 

S2

S1

 

S2

 

T1,T3,T4

 

Wed

05.08.202

S1

 

S4

S1

 

S4

 

T1,T3,T4

 

Thu

06.08.202

S1

 

S4

S1

 

S4

 

T2,T3,T4

 

Fri

07.08.202

S4

 

S3

S4

 

S3

 

T2,T3,T4

 

Sat

08.08.202

S4

 

S3

S4

 

S3

 

T2,T3,T4

 

Selected Applicants: 

 

  

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 70045 Dr. Kavaskar T Male Central University of Tamil Nadu Assistant Professor Annamalai University 2005 06/08/2011
2 70046 Prof. Dr Sowndariya R Female PPG Institute Of Technology/ Anna Unniversity Assistant Professor Bharathiar University 2017 28/11/2025
3 70056 Dr. Vinay Kumar Yadav Male M S Ramaiah University of Applied Sciences Assistant Professor Banaras Hindu University Varanasi 2019 27/02/2024
4 70074 Dr. Deepak Gupta Male MNNIT Allahabad, Prayagraj Assistant Professor MTech 2009 10/11/2015
5 70078 Ms. Neha Mandal Female National Institute of Technology, Jamshedpur PhD Kolhan University 2020  
6 70082 Mr. Sai Gopinadh Gopi Nadh Bodigiri Male GMRIT Deemed To Be University Assistant Professor Bapatla Engineering College 2015  
7 70090 Mr. Jagannath Pramanik Male National Institute of Technology Jamshedpur PhD Kolhan University 2022  
8 70091 Mr. Biswajit Roy Male NIT JAMSHEDPUR PhD M.sc 2023  
9 70098 Ms. Marjeena . Female Kumaun University Nainital, Uttarakhand PhD student Kumaun university, Nainital (M.Sc.) 2021  
10 70100 Mr M Krishna Reddy Male Govt. College for Men, Cluster University, Kurnool Lecturer in Mathematics Osmania University 2007  
11 70101 Mr Govinda Raju R Male Vidyavardhaka College of Engineering Assistant Professor University Of Mysore 2018  
12 70113 Dr. Dharminder Chaudhary Male School of AI, Amrita Vishwa Vidyapeetham, Faridabad-121002 Asst. Professor IIT Kharagpur 2012  
13 70116 Mr. Pradip Kevat Male University of Lucknow M.Sc Student University of Lucknow Awaiting Result  
14 70117 Mr. Nallana Dharma Rao Male Maharajah's College ( Autonomous) Asst.Prof.in mathematics M.sc 2010  
15 70118 Dr. Sk Sarif Sarif Hassan Male Pingla Thana Mahavidyalaya Assistant Professor Utkal University 2008  
16 70120 Dr Jayaprakash K Male veltech university Asst bharathidasan university 2011 10/10/2021
17 70123 Dr. Kirankumar M Male Vidyavardhaka college of engineering Assistant professor University of Mysore 2018 16/06/2025
18 70124 Dr. Rahul Munavalli Male Vidyavardhaka College of Engineering, Mysuru. Assistant Professor Rani-Channamma University,Belagavi. 2014 17/09/2025
19 70128 Dr Veeranayaka T N Male Vidyavardhaka college of Engineering Assistant professor M.Sc 2011 05/12/2022
20 70130 Mr Alok Deep Male National institute of technology Jamshedpur PhD University Department of mathematics Ranchi University 2023  
21 70131 Dr. Snehalata Nasipuri Female Sikkim Manipal Institute of Technology, Sikkim Manipal University. Post-Doctoral Research Fellow University of Kalyani 2019 22/01/2026
22 70133 Dr. Surendar M. S. Male PSG Institute of Technology and Applied Research Assistant Professor Bharathidasan University, Trichy 2016 16/11/2021
23 70135 Mr Mantu Bhue Male Kuchinda College Kuchinda Lecturer IIT GUWAHATI 2022  
24 70140 Dr Arnepalli Lakshmana ----- Male Vignan's Institute of Information Technology(A) Associate Professor Acharya Nagarjuna Univeristy College 1999 16/04/2015
25 70142 Dr M Sangeetha Sangeetha Female sri sai ranganathan engineering college professor government arts college 2001 24/09/2018
26 70144 Mr. Vishva Vivek Singh Male Department of Mathematics, Institute of Basic Science PhD Department of Mathematics, Institute of Basic Science , Dr. Bhimrao Ambedkar University Agra 2024  
27 70145 Dr. Rakesh Ranjan Male Banaras Hindu University, Varanasi. Assistant Professor BHU 2012 17/06/2017
28 70146 Ms. Subhra Kundu Female P.R.M.S.MAHAVIDYALAYA SACT Burdwan University 2015  
29 70150 Mr. Anupam Mardi Male NIT Jamshedpur PhD Visva Bharati 2022  
30 70151 Mr Abhishek Dangal Male NBBGC, SIKKIM UNIVERSITY MSc Student SIKKIM UNIVERSITY Awaiting Result  
31 70153 Ms. Kousika Karthikeyan Female KPR Institute Of Engineering And Technology Ph.D Student Thiruvalluvar Government Arts college, Rasipuram 2022  
32 70157 Mr. Somnath Kumar Male NIT Jamshedpur PhD Central University of South Bihar 2021  
33 70158 Mr. Munna Kumar Male National Institute of Technology Jamshedpur PhD M.Sc 2023  
34 70163 Mr. Sudip Mandal Male NIT Jamshedpur Phd Student Pondicherry University 2021  
35 70165 Mr Rajasekaran Kanakkan Male KPR Institute Of Engineering And Technology PhD Student Thiruvalluvar Government Arts College, Rasipuram, Namakkal-637408. 2023  
36 70172 Ms. Chumki Banerjee Female Nit Jamshedpur Ph.D scholar M.sc 2022  
37 70179 Mrs. Kalaiselvi Myilsamy Female PSG Institute of Technology and Applied Research Assistant Professor PSGR Krishnammal college for women 2016 23/08/2024
38 70181 Ms. Deep Shikha Female NIT JAMSHEDPUR PhD Central University of South Bihar 2020  
39 70182 Mrs Lolla Sri Divya Parvathi Female Vignana bharathi institute of technology Assistant professor Kakatiya University 2019  
40 70184 Mr Jai Kishan Dubey S Male SRM Institute of Science and Technology PhD Student SRM Institute of Science and Technology, Kattankulathur 2020  
41 70191 Dr. Vineet Kumar Chaurasiya Male GLA University Mathura Uttar Pradesh Assistant Professor iit kharagpur 2014 06/11/2024
42 70193 Ms. Bijayani Padhi Female NIT Jamshedpur PhD Banaras Hindu University 2024  
43 70194 Mrs. Khushbu Agrawal Female Indian Institute of Technology Patna Postdoctor Fellow M.Sc. 2016 29/12/2025
44 70195 Ms. Kavita Kumari Female National Institute of Technology, Jamshedpur PhD Scholar M.Sc. 2020  
45 70196 Mr. Rajeev Prasad Male Dr. APJ Abdul Kalam Women's Institute of Technology (WIT) Asst. Prof. INDIAN SCHOOL OF MINES, DHANBAD 2015 04/11/2023
46 70199 Ms Tithi Sadhukhan Female National institute of technology jamshedpur Phd student National institute of technology jamshedpur 2024  
47 70201 Mr. Niren Biswas Male University of Calcutta PhD Student University of Calcutta 2019  
48 70204 Dr. Vikash Kumar Sinha Male Srinath University, Jamshedpur Assistant Professor Karim City College, Jamshedpur 2017 10/01/2025
49 70205 Mr Vivek Kumar Male IIT INDORE phD NIT Jamshedpur 2024  
50 70206 Mr. Agniva Dey Male Ramakrishna Mission Vivekananda Centenary College PhD Ramakrishna Mission Vivekananda Centenary College 2023  
  Waiting list candidates      
1 70197 Mr Mutharasu V Male Chikkanna government arts college tirupur-02 MSC Student Chikkanna government arts college tirupur- 02    
2 70187 Mr Alapan Roy Male Ramakrishna Mission Vivekananda Centenary College MSc Student Ramakrishna Mission Vivekananda Centenary College 2026  
3 70185 Mr. Swarnabha Nandy Male Ramakrishna Mission Vivekananda Centenary College, Rahara M.Sc. Student Ramakrishna Mission Vivekanada Centenary College, Rahara 2026  
4 70177 Mrs. Sangeetha K Female KPR Institute of Engineering and Technology Ph.D Research Scholar Bharathiar University 2009  
5 70063 Mr. Adarsh Yadav Male Indian Institute of technology Indore PhD University of Allahabad 2024  
6 70095 Mr Akash Kumar Male Delhi University Msc students Department of mathematics delhi uniy    
7 70097 Ms. Akshita Yadav Female MNNIT Allahabad PhD University of Allahabad 2024  
8 70125 Ms Shravani Settigari Female Bharat Institute of Engineering and Technology Student NA    
9 70148 Ms Srimathi T Female Amrita University PhD Student M.Sc. 2025  
10 70156 Mr Sekar K Male KPR Institute of Engineering and Technology PhD Research Scholar   2014  
11 70159 Mr. Chandra Shekhar Male Indian Institute of Science, Bangalore Int PhD Indian Institute of Science Benglore    
12 70169 Ms Varshini D Female KPR Institute of Engineering and Technology Ph.D. Student Dr. N. G. P. Arts and Science College 2025  
13 70175 Mr Lokesh Mishra Male Babasaheb Bhimrao Ambedkar University MSc Student Babasaheb Bhimrao Ambedkar University 2025  
14 70176 Ms. Sandhiya B Female Institute Of Engineering And Technology Research scholar Bharathiar University 2024  
15 70136 Mr Prasanth S Male Chikkana Government Arts Collage Tiruppur MSc student M.Sc Awaiting Result  
16 70139 Mr. Rohit Rohit Shukla Male Central University of South Bihar MSc Student CENTRAL UNIVERSITY OF SOUTH BIHAR Awaiting Result  
17 70141 Mrs Suhana Chaudhary Female Netaji Subhash University of Technology MSc Student Netaji Subhash University of Technology Awaiting Result  

 

 

 

How to Reach: 

TBA

School Short Name: 

ladic

Last Date Application: 

Monday, March 31, 2025

School Type: 

TEW

Separate faculty form: 

0