Linear Algebra and Differential Equations (2025)

Convener(s)

 
Name: Prof. Raja Sekhar G P Dr. Sreenivasa Rao Y
Mailing
Address:		 Professor (HAG) Department of Mathematics,
Indian Institute of Technology Kharagpur West Bengal, India - 721302		 Assistant Professor Department of Mathematics,
National Institute of Technology Warangal Telangana, India – 506004
Email: rajas at iitkgp.ac.in ysr at nitw.ac.in

The National Center for Mathematics (NCM) organizes the Teachers' Enrichment Workshop (TEW) (2024) 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 Warangal, while also welcoming applications from interested educators in other regions. The primary focus is on a leisurely exploration of fundamental concepts in Linear Algebra and Differential Equations 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, April 21, 2025 - 19:00 to Saturday, April 26, 2025 - 19:00

Venue: 

Venue Address: 

Dr. Sreenivasa Rao Y
Assistant Professor Department of Mathematics,
National Institute of Technology Warangal Telangana, India – 506004
Email: ysr@nitw.ac.in

Venue State: 

Venue City: 

PIN: 

506004

Syllabus: 

 

Name of the Speaker with affiliation No. of Lectures Detailed Syllabus
Dr. Sreenivasa Rao Y
Assistant Professor Department of Mathematics,
National Institute of Technology Warangal		 8+1 Vector spaces, linear dependence and independence of vectors, basis and dimension. Eigenvalues and eigenvectors, Diagonalizability, Orthogonal matrices, Symmetric matrices, Unitary matrices, Similar matrices, Change-of-basis, Orthonormal basis, Spectral theorem, Schur’s unitary triangularization, full and reduced QR Factorization, GramSchmidt Orthogonalization, Rank-nullity theorem, Existence of eigenvalues and eigenvectors.
Prof. Subrahmanya Sastry Challa
Professor,
Dept. of Mathematics, IIT Hyderabad		 6+2 Modelling with the system of equations, General first-order systems, Linear systems, linear homogeneous systems, The Eigen-analysis Method for x′ = Ax, Jordan Form and Eigen- analysis, Nonhomogeneous Linear Systems. Existence and uniqueness of Singular Value Decomposition (SVD), SVD as a change of basis, Low-rank approximation, Power Method for Computing the SVD.
Prof. Raja Sekhar G P Professor (HAG) Department of Mathematics, IIT Kharagpur 6+2 ODEs and Dynamical Systems. Existence of Solutions, Uniqueness of Solutions, Picard-Lindelöf Theorem, Intervals of Existence, Dependence on Parameters, Constant Coeffi- cient Linear Equations. Single step methods and multi-step methods for solving IVPs, convergence and stability.
Numerical solution to Parabolic PDE (1D-Heat Conduction equation): Explicit methods, Implicit Methods, Convergence and Stability; Hyperbolic PDE (Wave Equation): Explicit, Implicit methods, Method of characteristics, Convergence
and stability.
Prof. Kasi Viswanadham K N S, Professor
Department of Mathematics, National Institute of
Technology Warangal		 4+1 Concept of weak formulation; Lax-Milgram Theorem for existence and uniqueness of linear operators.
Basic concepts of the Finite Element Method (FEM), examples; Applications of FEM in fluid flows.

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. Numerical Solution of Partial Differential Equations: Finite Difference Methods (Oxford Applied Mathematics & Computing Science Series), G. D. Smith
  5. Numerical Solution of Ordinary Differential Equations (Wiley), Kendall E. Atkinson, Weimin Han, David E. Stewart
  6. Numerical Methods for Scientific and Engineering Computation (New Age International) M K Jain, S R K Iyengar, R K Jain.

Time Table: 

 

Day

Date

Lecture 1
(9.30
to
10.30)

Tea
(10.35
to
10.55)

Lecture 2

(11.00
to
12.00)

Lecture 3
(12.00
to
1.00)

Lunch (1.00
to
2.20)

Lecture 4
(2.30
to
3.30)

Tea (3.35
to
3.55)

Discussion (4.00
to
500)

Snacks (5.05
to
5.30)

 

 

(Speaker’s name)

 

(Speaker’s name)

(Speaker’s
name)

 

(Speaker’s
name)

 

(Tutor’s
name)

 

Mon

21.04.2025

S1

 

S1

S2

 

S2

 

T1,T2, S2

 

Tue

22.04.2025

S1

 

S2

S1

 

S2

 

T1,T2, S2

 

Wed

23.04.2025

S1

 

S2

S1

 

S2

 

T1,T2, S3

 

Thu

24.04.2025

S1

 

S1

S3

 

S3

 

T1,T2, S3

 

Fri

25.04.2025

S3

 

S3

S4

 

S4

 

T1,T2, S4

 

Sat

26.04.2025

S3

 

S3

S4

 

S4

 

T1,T2, S4

 

 Full forms for the abbreviations of speakers and tutors:

S. No.

Name

Affiliation

1

Dr.Y.Sreenivasa Rao(S1)

Dept.of Mathematics, NIT Warangal

2

Prof.Subrahmanya Sastry Challa(S2)

Dept.of Mathematics ,IIT Hyderabad

3

Prof.Raja Sekhar GP (S3)

Dept.of Mathematics ,IIT Kharagpur

4

Prof.Kasi Viswanadham K (S4)

Dept.of Mathematics ,NIT Warangal

 Name of the tutors:

S. No.

Name

Affiliation

1

Dr.Y.Sreenivasa Rao (T1)

Dept.of Mathematics, NIT Warangal

2

Dr.Satyanarayana Engu (T2)

Dept.of Mathematics, NIT Warangal

Selected Applicants: 

 

Sr.n SID Full name Gender Affiliation Position in College/ University University/ Institute M.Sc./ M.A. Year of Passing M.Sc./ M.A Ph.D. Deg. Date
1 60231 Ms Gunileima Thokchom Female Guru Govind Indraprastha University Trainee Dhanamanjuri University 2022  
2 60647 Mr. M Krishna Reddy Male Government College for Men, Cluster University,Kurnool Lecturer in Mathematics Osmania University 2007  
3 61032 Dr. Gayatri Maharana Female SOA University Assistant Professor Fakir Mohan University 2012 7 Nov 23
4 61181 Prof Rajiv Kamboj Male Niilm University Associate University of Lucknow 2001 13 Aug 14
5 61255 Dr. Lakshmipriya N Female NSS College Nemmara Assistant Professor Central University of Kerala 2015 10 Oct 22
6 61267 Dr. Srinivasa Rao Tanniru Male Bapatla Engineering College Associate Professor Acharya Nagarjuna University 1992 30 Aug 07
7 61308 Mr Gnanam Mahesh Kalakaoi Male Agurchand Manmull Jain College Assistant Professor Loyola College 2013  
8 61433 Ms. Pallavi Dilip Bagde Female G.H.Raisoni College Of Engineering Nagpur Assistant Professor Rtmnu Nagpur 2022  
9 61463 Mr. Koshalesh Meher Male National Institute of Technology Warangal PhD National Institute of Technology Warangal 2020  
10 61498 Mr. Biswajit Ganguly Male IIT Delhi PhD Student IIT DELHI 2024  
11 61515 Mr Venkata Yadaiah Male Palamuru University Pg Center Kollapur Assistant professor Kakatiya University 2001  
12 61555 Dr. Komal Goyal Female Galgotias Institute of Management and Technology Asst. Prof. University of Delhi 2021 17 Aug 24
13 61578 Mr Abhinav Kumar Male IIT Bombay Postdoctoral Researcher Central University of South Bihar, Gaya 2018 9 Nov 24
14 61588 Ms. Yasmin A Female SRM Institute of Science and Technology PhD M.Sc. 2021  
15 61592 Mrs Sonali Mandar Narsale Female MES Wadia College Of Engineering Pune Assistant Professor Savitribai Phule Pune University 2006  
16 61605 Dr. Swagat Rameshchandra Barot Male Government Polytechnic, Valsad Lecturer in Mathematics Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 2004 28 Mar 18
17 61608 Dr Arnepalli - Lakshmana Male Vignan' Institute Of Information Technology (A) Associate Professor Acharya Nagarjuna University Campus 1999 16 Apr 15
18 61633 Dr. Debozani Borgohain Female Dibrugarh University Assistant professor Gauhati 2010 21 Jul 17
19 61699 Dr. Ram Kumar Male Amity University madhya Pradesh Assistant Professor Banaras Hindu University 2013 20 Jun 20
20 61700 Dr. Rajat Vaish Male Amity University Madhya Pradesh Assistant Professor Aligarh Muslim University, Aligarh 2013 31 Oct 19
21 61720 Mr Ravi Ummidi Male Raghu Engineering college Assistant professor Andhra University    
22 61724 Prof Nazia Zafar Ahsan Siddiqui Female Rizvi college of arts sciences and commerce Asst.prof Department of mathematics,university of Mumbai 2020  
23 61733 Dr Veeramani S Male VIT Vellore, Vellore Assistant Professor St. Xavier's College Palayamkottai, Tirunelveli 2010 5 Aug 18
24 61746 Prof. Arunima Kumari Female Bhagwan Parshuram Institute of technology Professor magadh University 1992 21 Feb 01
25 61800 Mr Shyaman V P Male APJ Abdul Kalam Technological University Assistant Professor CUSAT 2013  
26 61867 Dr. Umaprasada Rao Bodaingi Male GITAM(Deemed to be University) Assistant Professor Andhra University 2005 20 Sep 11
27 61874 Dr Karthikeyan Shanmugam Male Anna university Assistant professor Bharathiar university 2008 25 Feb 22
28 62013 Dr. Surajit Karmakar Male Durgapur Women's College Assistant Professor IIT MADRAS 2014 29 Mar 22
29 62055 Dr Aravindh Dharmarajan Male Kpr Institute Of Engineering And Technology Assistant Professor - Iii Erode Arts College/Bharathiar University 2006 24 Jul 20
30 62057 Dr Damodharan K Male KPR Institute Engineering and Technology Assistant Professor - III Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 2005 28 Feb 22
31 62117 Dr R Gopi Male Srimad Andavan Arts and Science College(Autonomous), Tiruchirappalli Assistant Professor Periyar E.V.R. College, Tiruchirappalli 2008  
32 62206 Dr. Geetanjali Sharma Female Banasthali Univeristy Associate Professor Jiwaji University 2007 20 Mar 13
33 62220 Mr. Praveen Shekhawat Male Iit indore Msc student Iit indore Appeared  
34 62269 Dr. Sreedevi S L Female Narasimha Reddy Engineering College Assistant Professor UNiversity of Kerala 2002 8 Aug 19
35 62334 Dr. Laba Sa Male SR University Assistant Professor Sambalpur University 2014 14 Nov 23
36 62421 Dr Suriyakumar P Male KPR Institute of Engineering and Technology Assistant Professor Bharathiar University 2006 3 Jun 16
37 62513 Mrs. Sucharitha Jilla Female Kakatiya degree college (A) Guest Faculty in mathematics Lalitha Degree N P.G College 2009  
38 62560 Dr. John Joy Male St. Stephen's College, Uzhavoor Assistant Professor Central University of Kerala 2015 2 Jul 23
39 62571 Dr. Sethuraman Balaji Male Vellore Institute of Technology Assistant Professor Anna University 2011 9 Apr 19
40 62587 Dr Jayagopal R Male Vellore Institute of Technology Assistant Professor   2012 10 Apr 17
41 62588 Lt. Gajendran P Male PSG Institute of Technology and Applied Research Assistant Professor Bharathidasan University 2008  
42 62589 Dr Chinnaraj P Male Psg Institute Of Technology And Applied Research Associate Professor Bharathiar University 2004 17 May 18
43 62596 Dr Vignesh E Male PSG Institute of Technology and Applied Research Assistant Professor PSG College of Arts and Science 2016 24 Aug 23
44 62600 Dr Senthil Kumar Thirumalaisamy Male National Institute of Technology Warangal, Visiting Assistant Professor, Madurai Kamaraj University 2004 8 Jan 13
45 62621 Dr Praveen T Male Vellore Institute of Technology Assistant Professor The Madura College 2011 14 Dec 16
46 62658 Dr Aramuthakannan S Male Psg Institute Of Technology And Applied Research Associate Professor Bharathiar University 1997 17 Apr 14
47 62664 Mr Shaik Shafi Male Government Junior College Boys Nagarkurnool Lecturer In Mathematics Kakatiya University 2017  
48 62668 Mr Kunarapu Ramesh Male Telangana Tribal Welfare Residential Degree College for Boys Karimnagar Assistant professor University College of Science Osmania University, Hyderabad 2016  
49 62669 Dr Sandhiya T P Female PSG Institute of Technology and Applied Research Assistant Professor Bharathiyar University/ Sree Narayana Guru College 2017 31 Jul 24
50 62675 Dr. Prabu J Male PSG Institute of Technology and Applied Research Assistant Professor Pondicherry University 2016 31 Jul 24
51 62681 Mrs Sriramoju Lavanya Female Telangana tribal welfare residential degree college (Girls) Asst professor Kakatiya university 2009  
52 62714 Dr Gandamalla Vasumathi Female Tgswrdcw Karimnagar Degree Lecturer Univ. College Of Science, Osmania Univ. 2011 19 Apr 19
53 62747 Dr. Amalendu Rana Male Mlr Institute Of Technology Assistant Professor Vidyasagar University 2016 21 Nov 24
54 62811 Dr. Amalendu Rana Male MLR Institute of Technology Assistant Professor Vidyasagar University 2016 21 Nov 24
55 62888 Dr Bhagwan Kumar Male R.D.S. College Muzaffarpur Assistant Professor University of Hyderabad 2018 21 Jun 24
56 62907 Dr. Shivani Khare Female Dr. Harisingh Gour Vishwavidyalaya Assistant Professor Dr. Harisingh Gour Vishwavidyalaya, Sagar, Madhya Pradesh, 470003 2018 8 Jan 25
57 62963 Mrs Sonali Mandar Narsale Female MES Wadia College Of Engineering Pune-01 Assistant Professor Pune University 2006  
58 62969 Mrs Kallempudi Radhika Female Tswrdc(W) Degree Lecturer Hyderabad Central University ( HCU) 1992  
59 62972 Dr. Renuka P Female KPR Instute of
KPR Institute of Engineering and Technology		 Assistant Professor III Maharaja College for Women 2004 28 Oct 20
60 63006 Dr Jayachandra Babu Macherla Male Government Degree College Lecturer Andhra University 2002 19 Jun 19
61 63157 Mr. Ramaraj T Male Srimad Andavan Arts and Science College(Autonomous) Assistant Professor Jamal Mohamed College (Autonomous) 2014  
62 63164 Mr Neelagandan Palani Male Vellore Institute of Technology Research Scholar M.Sc. 2021  
63 63207 Dr. Sunil Kumar Pandit Male Rameshwar Mahavidya/ B.R.A. Bihar University, Muz. Assistant Professor Jai Prakash University, Chapra 2013 21 Oct 24
64 63286 Mrs Donthula Mamatha Female Tswrdcw Karimngar Degree Lecturer University College Of Science Kakatiya University Hanmakonda 2008  
65 63321 Dr. Nithish Kumar Gopagani Male NITW Visiting Professor National Institute of Technology Warangal 2012 18 Jul 18
66 63341 Dr Uma Maheswara Rao Bellamkonda Male Rise Krishna Sai Gandhi Group Of Institutions Associate Professor University College, Anu, Guntur 1999 31 Dec 18
67 63345 Mr. Suryakant Prasad Male National Institute of Technology Warangal ResearcH Scholar NIT Warangal 2019  
68 63427 Mr. Ashan Gupta Male MUNGER UNIVERSITY Assistant Professor Banaras Hindu University Varanasi 2012  
69 63480 Mr. Satyaranjan Pradhan Male Govt. Model Degree College, nabarangpur Assistant Professor Berhampur University, Berhampur 2015  
70 63626 Dr. D Prakash Male SRM Institute of Science and Technology Associate Professor BHARATHIAR UNIVERSITY, TAMILNADU 2009 11 Aug 14
71 63661 Mr. Sateesh Kumar S Male Lalbahadur College Lecture in Mathematics SDLC Kakathiya University 2002  
72 63731 Mr. Madhu G U Male Atria Institute of Technology Assistant Professor Bangalore University 2022  
73 63769 Mrs Sayyed Shabana Female Telangana Social Welfare Residential School Junior College Vangoor Post Graduate Teacher Osmania University Hyderabad 2019  
74 63790 Ms. Ananya Sree Rathna Madikonda Female AVV degree and PG college Lecturer Kakatiya University 2022  
Waiting List      
1 59929 Ms. Anshu Kumari Female Studying MSc student Dr. Hari Singh gour vishwavidyalaya Appeared  
2 59941 Ms Komal Kumari Female Studying Msc student Msc Appeared  
3 59952 Mrs Maria Pappu Threase Female Anna University Student Anna University    
4 61484 Mr. Mustaq Ahmad Male Deen Dayal Upadhyaya Gorakhpur University PhD Mahatma Gandhi Post Graduate College 2019  
5 61501 Mr. Ratul Bera Male Ramakrishna Mission Vivekananda Centenary College Msc Student Ramakrishna Mission Vivekananda Centenary College Appeared  
6 61587 Mr. Gaverchand K Male SRM Institute of Science and Technology PhD M.Sc. 2021  
7 61601 Ms Km Anshu Rathi Female Banasthali Vidyapith Research Scholar CCS University 2020  
8 61693 Mr Kumar Napoleon Deka Male Gauhati University Phd( Research Scholar) Gauhati University 2017  
9 61731 Ms Divya Dharshini D Female National Institute Of Technology Calicut Phd Central University Of Tamilnadu 2023  
10 61836 Ms. Rupali Kumari Female NIT Rourkela Research Scholar NIT Jamshedpur 2018  
11 61862 Mr. Yasir Ali Monis Male Indian Institute of Science Education and Research Thiruvananthapuram MSc Student IISER Thiruvananthapuram    
12 61976 Mr. Soudip Patra Male National Institute of Technology Silchar Phd Ramakrishna Mission Vivekananda centenary College 2024  
13 62156 Ms. Rihana Farveen Female Bharathiar University PhD Bharathiar University 2022  
14 62561 Mr. Abhishek Gupta Male NIT Warangal PhD National Institute Of Technology Warangal/M.sc Applied Mathematics 2022  
15 62705 Ms. Preeti Priya Female National Institute of Technology Warangal PhD National Institute of Technology Warangal 2021  
16 62707 Mr Mahammad Sailanebaba Male S.R University Ph.D-Research Scholar National Institute Of Technology,Warangal 2013  
17 62794 Mr. Pavan Sharma Male National Institute of Technology Warangal PhD NIT Warangal 2021  
18 62833 Mr Md Shakir Alam Male National Institute Of Technology Warangal Telangana 506004 Pg Student National Institute Of Technology Warangal Telangana 506004 2025  
19 62871 Ms. Anchal Sharma Female Malaviya National Institute of Technology Jaipur PhD University of Rajasthan Jaipur 2024  
20 62882 Ms Rafath Rafath Female Mims MSC Student      
21 62934 Mr. Durga Sai Praveen Chamana Male NIT, Warangal PhD Andhra University 2022  
22 62959 Ms. Medimudi Divya Jyothi Female National Institute of Technology Warangal PhD Student Andhra University 2020  
23 62975 Ms. Parul Kaushik Female Banasthali vidyapith PhD M.Sc. 2023  
24 63081 Ms. Kanchan Dwivedi Female National Institute of Techonology Warangal Research Scholar Indian Institute of Technology Jodhpur 2018  
25 63150 Mr. Atul Kaushik Male National Institute of Technology Warangal Research Scholar National Institute of Technology Warangal 2021  
26 63226 Mr Vivek Lodwal Male Nit Warangal Research Scholar M.sc 2021  
27 63291 Ms Swathi Velisoju Female National Institute of Technology Warangal PhD Research Scholar Kakatiya / Lal Bahadur College Pg Centre 2017  
28 63474 Mr Anil Kumar Male National Institute Of Technology Warangal Research Scholar National Institute of Technology Warangal 2019  
29 63475 Mr. Rishav Aich Male NIT Warangal Ph.D. student National Institute of Technology, Warangal 2022  
30 63496 Mr Subham Jangid Male National institute of technology warangal Research scholar National institute of technology warangal 2020  
31 63608 Mr Govind Gaur Male National Institute of Technology Warangal PhD National Institute of Technology Warangal 2021  
32 63622 Mr. Srinivas Bhupati Male National institute of technology warangal student      
33 63675 Mrs Shobha Rani Bollam Female TGMREIS &JC wardhannapet boys 1 Teacher Kakatiya University 2010  
34 63713 Ms. Mrittika Das Female NIT Warangal PhD student Miranda House, Du 2020  
35 63730 Ms. Manisha Jangir Female National Institute of Technology Warangal Research Scholar NIT Warangal 2023  

 

 

 

 

 

 

How to Reach: 

TBA

School Short Name: 

lade

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0