Linear Algebra and Calculus (2024)

Convener(s)

 
Name: Prof. Pralay Chatterjee Dr. Ravinder Katta Dr. Mani Shankar Pandey
Mailing Address: Professor,
The Institute of Mathematical Sciences
CIT Campus, Taramani
Chennai 600113.		 Assistant Professor,
IIITDM Kurnool, Jagannathagattu Hill,
Kurnool, Andhra Pradesh 518008.		 Assistant Professor
IIITDM Kurnool, Jagannathagattu Hill,
Kurnool, Andhra Pradesh 518008.
Email:  pralay at imsc.res.in  ravinder at iiitk.ac.in  mspandey at iiitk.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 Kurnool, 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 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.

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, July 29, 2024 - 19:00 to Saturday, August 3, 2024 - 19:00

Venue: 

Venue Address: 

IIITDM Kurnool, Jagannathagattu Hill,

Kurnool, Andhra Pradesh 518008.

 

 

Venue State: 

Venue City: 

PIN: 

518008

Chrono Order: 

488

Syllabus: 

Name of the Speaker with affiliation

No. of Lectures

Detailed Syllabus

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

8+2

Vector spaces, Linear maps, Matrix representation of linear maps, Row reduction, Row reduced echelon matrix, Row rank, Column rank, Solving system of linear homogeneous and non-homogeneous equations, Cramer's rule, Eigen values, Eigen vectors, Diagonalizability, Bilnear forms, Orthogonal and symmetric matrices, Canonical forms, Spectral Theorem for normal operators.

Dr. Chandan Maity,
IISER Behrampur.

 

8+2

Well ordering property of N, Principle of mathematical Induction (strong and weak) and its applications, Countable and uncountable sets, Completeness Axiom, Archimedean property, Sequence, Series and their convergence and divergence, Bolzano-Weierstrass theorem, Continuity, Intermediate value theorem, Uniform continuity, Differentiability, Mean value theorem, Maxima and minima, Taylor theorem and series, Existence of continuous but nowhere differentiable functions

Dr. Sreenivasa Rao Y,
NIT Warangal.

8+2

Vector functions of a single variable, Parametric representations, Position, velocity and acceleration vectors, Functions of several variables, Limits and continuity, Directional derivatives, Partial derivatives, Derivative, Tangent and normal vectors, Arc length, Curvature and torsion, Vector fields, Gradient, divergence and curl, Line integrals, Surface and volume integrals, Green's theorem (for planar vector fields), Gauss’s divergence theorem, Stokes' theorem.

  References:

  1. Algebra, M. Artin, Pearson Publications.

  2. Linear Algebra, Hoffman and Kunze, Pearson publications. 

  3. Introduction to real analysis, Robert G. Bartle and Donald R. Sherbert.

  4. Introduction to real analysis, William F. Trench

  5. Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach, John H. Hubbard

Time Table: 

 

 

Day

Date

Lecture 1

(9.30-10.30)

Tea

(10.35-10.55)

Lecturer 2

(11.00-12.00)

Lecture 3

(12.00-1.00)

Lunch

(1.00
to
2.20)

Lecture 4

(2.30-3.30)

Tea

(3.35-3.55)

Discussion

(4.00-500)

Snacks

(5.05
to
5.30)

 

 

(Speaker’s name)

 

(Speaker’s name)

(Speaker’s name)

 

(Speaker’s name)

 

(Tutor’s name)

 

Mon

29.07.24

CM

 

PC

CM

 

PC

 

CM, MS, AM

 

Tue

30.07.24

CM

 

PC

CM

 

CM

 

PC,

MS, KD

 

Wed

31.07.24

CM

 

PC

CM

 

SY

 

CM, MS, AM

 

Thu

01.08.24

CM

 

PC

SY

 

SY

 

SY, KD, AM

 

Fri

02.08.24

SY

 

PC

SY

 

SY

 

PC, MS, KD

 

Sat

03.08.24

SY

 

PC

SY

 

PC

 

SY, MS, KD

 

 Full forms for the abbreviations of speakers and tutors:

PC : Prof. Pralay Chatterjee

CM: Dr. Chandam Maity

SY : Dr. Sreenivasa Rao Y

AM: Dr. Anirban Majumdar

MS: Dr. Mani Shankar Pandey

KD: Dr. Kushal Dhar Dwivedi

Name of the tutors:

S. No.

Name

Affiliation

1

Dr. Anirban Majumdar

Assistant Professor, IIITDM Kurnool

2

Dr. Mani Shankar Pandey

Assistant Professor, IIITDM Kurnool

3

Dr. Kushal Dhar Dwivedi

Assistant Professor, IIITDM Kurnool

Selected Applicants: 

Instructions for participants

  1. Hostel accommodation will be provided on a payment basis on request for outstation participants.                               
  2. No TA will be provided to attend this workshop.

 

Sr.n SID Full Name Gender Name of college/University where employed/studying Position in College/University University/Institute M.Sc./M.A. Year of Passing M.Sc./M.A Ph.D. Degree Date
1 55245 Mr Soumen Roy Male KREA UNIVERSITY TEACHING FELLOW IIT MADRAS CHENNAI 2013  
2 55291 Ms. Anjali . Female Gautam Buddha University Greater Noida Research scholar dbrau agra 2010 01/08/2019
3 55391 Dr. Subhasish Behera Male Binayak Acharya College, Berhampur Assistant Professor in Mathematics Utkal University 2017 25/08/2023
4 55489 Dr Ranjith Kumar Male Anurag University Asso.Prof. Osmania University 2006 09/08/2018
5 55587 Dr. V Rangaveni Female G.Pulla Reddy Engineering College(Autonomous) Assistant Professor Sri Krishna Devaraya University, Anantapuramu, Andhra Pradesh 1996 01/06/2012
6 55598 Mr Govinda Raju R Male Vidyavardhaka College of Engineering Assistant Professor University of Mysore 2018  
7 55620 Mr. Debdut Sengupta Sengupta Male Salesian College Siliguri Campus Assistant Professor University of North Bengal 2014  
8 55911 Mr Alex Pandian S Male Agurchand Manmull Jain College Assistant Professor University Of Madras 2006  
9 55948 Mr Manigandan R Male Presidency College (University Of Madras) PhD Presidency College 2022  
10 56037 Mrs Sonali Mandar Narsale Female MES Wadia College Of Engineering Pune Assistant professor M.Sc Mathematics 2006  
11 56249 Ms. Vaishnavi K Kumar Female Anna university M.Sc Anna university 2019  
12 56279 Mrs C.Gousia Sulthana Choudri Female KSN Govt Degree college (w) Lecturer Distance of Directorate Education,S V University, Tirupati 2009  
13 56393 Mrs Thiriveedi Sunitha Female K V R Govt. Degree College For Women Lecturer in Mathematics University Of Hyderabad 2000  
14 56395 Mr. Aditya Shankar Male Indian Institute of Information Technology, Design and Manufacturing, Kurnool BTech Student NA    
15 56440 Mr. Deepanshu Dhawan Male Indian Institute of Technology Jodhpur Ph.D. Sant Longowal Institute of Engineering and Technology (M.Sc.) 2019  
16 56465 Dr Rupali Rupali Female Punjabi University Patiala Assistant Professor   2006 07/10/2020
17 56485 Dr. Gopal Kumar Gupta Male Symbiosis International University Nagpur Campus Assistant Professor Banaras Hindu University Varanasi M. SC. MATH 2011 15/03/2019
18 56526 Mr. Mohd Azmi Male Vignan University Assistant Professor Aligarh Muslim University 2017 26/08/2023
19 56532 Ms Bhavadharani K Female The gandhigram rural institute-Deemed University, MSC student The Gandhigram rural institute-Deed university 2018  
20 56581 Mr Kartikkumar Jagananda Bagilavaidya Male REVA University MSc Student REVA University/ MSc Physics Appeared / Awaiting Result  
21 56601 Ms Somi Aktar Female Jogamaya Devi College, kolkata. Lecturer Calcutta University 2018  
22 56609 Mr Manoj Kumar Male Shree Shyam Co-education college Assistant professor Maharaja Ganga Singh University Bikaner 2021  
23 56813 Dr Karthikeyan Shanmugam Male Kpr Institute Of Engineering And Technology/ Anna University Assistant Professor Bharathiar University 2008 25/02/2022
24 56854 Mr Lagisetty Praveen Kumar Male Dr Brr Govt Degree
Dr Brr Govt Degree College,		 Asst Professor University of hyderabad 2008  
25 56966 Prof. Shyamala - Gopalakrishnan Female Seethalakshmi Ramaswami College Associate Professor National College,Tiruchirappalli 1990 16/04/2021
26 57222 Dr Manimekalai S Female Dr. N.G.P.Arts and Science College Associate Professor Maharaja College for Women (Bharathiar University) 2004 16/04/2021
27 57509 Ms Suchismita Mallick Female Central University of Haryana MSc Student Central University of Haryana 2023  
28 57567 Mr Bajarang Lala Pawar Male SVERI'S College of Engineering, Pandharpur. Asst. Prof. New Arts, Commerce and Science College, Ahmednagar. 2019  
29 57633 Dr Damodharan K Male KPR Institute of Engineering and Technology Assistant Professor (Sl.G) Sri Ramahrishna Mission Vidyalaya College of Arts and Science 2005 28/02/2022
30 57680 Mr. Vineet Kumar Male Indian Institute Of Information Technology Design And Manufacturing phD M.sc 2021  
31 57791 Mr. Janendra Banjare Male Maharshi Vedvyas Govt. P.G. College Bhakhara, District- Dhamtari Assistant Professor Dr. Harisingh Gour Vishwavidyalaya Sagar,Madhyapradesh 2016  
32 57792 Ms Nanditha R Female VIT VELLORE PHD Mar Ivanios College, Trivandrum 2022  
33 57806 Ms Hima Manoj K Female Vellore Institute of Technology PhD Bharata Mata College, Thrikkakara, Kerala 2022  
34 57961 Mr M Mastanaiah Choudary Male BRINDAVAN INSTITUTE OF TECHNOLOGY AND SCIENCE ASSISTANT PROFESSOR S V UNIVERSITY 2007  
35 58047 Mr. Pallab Maiti Male Joy University Asst. Prof. National Institute of Technology Rourkela 2016 23/11/2023
36 58094 Dr Kiran Babu Male G.pulla Reddy engineering College Kurnool Asst.professor Sk university, ananthapur 2006 23/03/2019
37 58107 Dr V Raghavendra Prasad Male G PULLA REDDY ENGINEERING COLLEGE(AUTONOMOUS) ASSOCIATE PROFESSOR SRI KRISHNADEVARAYA UNIVERSITY, ANANTAPUR 2003 11/08/2012
38 58249 Dr Shaik Jafarunnisa Female Government College for Men, Kurnool. Lecturer Sri Krishnadevaraya University, Kurnool 2004 02/07/2011
39 58258 Dr. Nagaraju L Male Govt. College for Men, Kurnool Lecturer Osmania University, Hyderabad 2007 05/02/2024
40 58272 Mrs Muhsina V Female Ambedkar College of Arts and Science, Wandoor Assistant Professor Calicut University 2015  
41 58300 Mr M Krishna Reddy Male Govt. College for Men Kurnool, Cluster University Lecturer in Mathematics Osmania University 2007  
42 58317 Dr. Ganesamurthy S Male Periyar University Post-Doctoral Fellow Saradha Gangadharan College 2014 08/04/2019
43 58318 Dr. R. Srimathi Female Idhaya College of Arts and Science for Women Assistant Professor Saradha Gangadharan College 2013 09/07/2020
44 58335 Mr K Sreenivasulu Male IIITDM Kurnool JRF Rayalaseema university 2022  
45 58339 Mr. Chaithanya Pala Male Rayalaseema University Assistant Professor Sri Venkateswara University 2017  
46 58345 Mr. John Abhishek Masih Male St. John's College Assistant Professor St. John's College Agra 2008  
47 58341 Mr. Manish Sharma Male Shri Lal Bahadur Shastri Degree College, Gonda Assistant Professor Institute M.Sc. 2008  
Waiting list
1 55286 Mr Sanjayprabu S Male Sri Ramakrishna Mission Vidyalaya College of Arts and Science Ph.D. Research Scholar KG College of Arts and Science 2020  
2 57201 Ms. Srishti Singh Female Indian Institute Of Technology, Madras BS Student Not Applicable    
3 57720 Ms. Vijaya Dharshini T Female Sri G. V. G. Visalakshi college for women M. Sc Student Sri GVG Visalakshi college for women Appeared  
4 58226 Ms Praveena P Female Kannur University Campus Mangattuparamba MSc Student Kannur university, kerala 2024  
5 57860 Ms. Sreedevi P Female Kannur university, Kerala MSc student Kannur university, kerala Appeared  
6 55498 Mr Naman Kumawat Male Central University of Rajasthan Integrated M.Sc. B.Ed Student Central University of Rajasthan Appeared  
7 56425 Mr Amit Gupta Male The LNM Institute of Information Technology M.Sc Student The LNM Institute of Information Technology 2024  
8 58331 Mr. Ajay Kumar Male South Asian University Msc Student South Asian University Appeared  
9 57507 Mr. Md Karimulla Haque Male Indian Institute of Technology Madras MSc Student Indian Institute of Technology Madras Appeared  
10 55545 Mr. Bhavik Dhirubhai Chauhan Male Pandit Deendayal Energy University M.Sc. M.Sc. Appeared  
11 55700 Mr. Jay Yogeshbhai Jani Male PDEU MSC student PDEU Appeared  
12 55557 Mr. Jenishkumar Kanjibhai Zala Male Pandit Deendayal Energy University M.Sc. M.Sc. Appeared  
13 55395 Mr. Chander Mohan Bishnoi Male Lovely professional university Ph.D Lovely professional university 2018  

 

 

 

 

How to Reach: 

IIITDM Kurnool campus is located at Dinnedevarapadu Village, on a hilltop called “Jaganathagattu" in Kurnool district of Andhra Pradesh, close to the Nandyal-Kadapa Highway.  The campus is about 12 KMs from Kurnool City Railway station, and 3 KMs from G. Pulla Reddy Engineering College, Kurnool. One could get an auto from the Railway Station/Bus Station to IIITDM Kurnool. The autorickshaw will charge approximately between Rs. 200-300. The important landmark in between Kurnool City and IIITDM Kurnool are 1. C-Camp 2. G. Pulla Reddy Engineering College 3. Nandyal Check Post and 3. Jaganathagattu temple. IIITDM Kurnool is located at approximately 50 meters from Jaganathagattu temple.

Google map Link: https://maps.app.goo.gl/bhFocuTkuhQLcNjXA

 

 

School Short Name: 

lac

Last Date Application: 

Monday, August 15, 2022

School Type: 

TEW

Separate faculty form: 

0