TEW Linear Algebra, Group Theory and Enumerative Combinatorics (2018)
Venue: | Shri Ramdeobaba College of Engineering and Management, Nagpur, Maharashtra |
Date: | 23rd, Dec 2018 to 28th, Dec 2018 |
Name | Prof. Sudhir Ghorpade | Prof. Ranjit Ghumde | Prof. S.D. Mohagaonkar |
Mailing Address |
Department of Mathematics, |
SR. College of Engg. & Management, |
SR. College of Engg. & Management, |
Speakers with their affiliations:
Name of the speaker |
Position |
Affiliation |
Sudhir Ghorpade | Professor | IIT Bombay |
Jugal Verma | Professor | IIT Bombay |
Ananthnarayan Hariharan | Professor | IIT Bombay |
Samrith Ram | Professor | IIIT Delhi |
Dr.Jyoti Singh | Professor | VNIT Nagpur |
Syllabus:
The topics covered:
-
Prof. Sudhir Ghorpade:
-
Enumerative Combinatorics: Basic methods (pigeonhole principle and mathematical induction) with many combinatorial applications. Permutations, binomial coefficients, multisets. Binomial theorem and related identities. Compositions, integer partitions, set partitions, Stirling numbers.
-
Linear Algebra: Positive matrics, Structure of orthogonal matrices.
-
Prof.Jugal Verma:
-
Linear Algebra: Review of Eigenvalues and eigenvectors, Spectral theorem for normal operators, Singular value decomposition.
-
Prof. Anantnarayan Hariharan:
-
Group Theory: Equivalences and partitions, basic definitions, isomorphisms of groups.Examples of groups, including cyclic, dihedral, and permutation groups, groups of automorphisms of field extensions, free group on 2 generators. Subgroups, and the induced equivalence relations, quotient groups.Group actions, the orbit-stabilizer formula, and class equation.The theorems of Lagrange, Cayley, Cauchy and Sylow theorem using group actions.
-
Prof.Samrith Ram:
-
Enumerative Combinatorics :Set partitions, Stirling numbers, Cycles in permutations and permutations with restricted cycle structure. Principle of inclusion and exclusion, Sieve methods. Generating functions (including ordinary and exponential generating functions), Recurrence relations.
Linear Algebra: Review of Inner product spaces, self adjoint operator, spectral Theorem.
Time Table
Day |
Date |
Lec 1 09.45 |
Tea 11.15 |
Lec 2 11.30 |
Lunch 13.00 |
Lec 3 14.00 |
Tea 15.30 |
Discussion / Tutorial 15.45 |
Snacks 17.15 |
Sun |
23/12 |
JKV |
|
SRG |
|
JKV |
|
JKV + JS |
|
Mon |
24/12 |
JKV |
|
SRG |
|
AH |
|
JKV + JS |
|
Tue |
25/12 |
JKV |
|
SRG |
|
AH |
|
SRG + AH |
|
Wed |
26/12 |
AH |
|
SRG (LA) |
|
AH |
|
AH + JS |
|
Thu |
27/12 |
SR (LA) |
|
AH |
|
SR |
|
SR + JS |
|
Fri |
28/12 |
SR |
|
AH |
|
SR |
|
SR + AH |
List of actual Participants
Sr | 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 | 21713 | Yogesh Rokade | Male | New Arts, Commerce & Science college shevgaon, Dist- Ahmednagar 414502 | Asst. Prof. | SPPU, Pune | 2010 | |
2 | 21786 | Mr Praveen Kumar | Male | R.T.M Nagpur University, Nagpur | PhD Student | R.T.M Nagpur University, Nagpur | 2013 | |
3 | 21822 | Dr Juhi Hiresh Rai | Female | Shri Ramdeobaba college of Engineering and Management | Asst. Prof. | Nagpur university Campus/MSc | 4/17/2018 | |
4 | 21828 | Dr. Seema Shamrao Khekare | Female | G H Raisoni Institute of Engineering and Technology | Asst. Prof. | RTMNU, Nagpur | 2005 | 1/1/2018 |
5 | 22302 | Mr. Atish Mulchand Gour | Male | St. Vincent Pallotti of Engineering & Technology, Nagpur | Asst. Prof. | Nagpur University, Nagpur | 2013 | |
6 | 22477 | Ms. Vrushali Kailash Pakhidde | Female | Visvesvaraya National Institute Of Technology | MSc STUDENT | Visvesvaraya National Institute Of Technology | Appeared | |
7 | 22523 | Ms. Shubhada Ramesh Kosurkar | Female | V.N.I.T. | MSc | V.N.I.T. Nagpur | Appeared | |
8 | 22600 | Mr. Sanjay Madhukarrao Deshpande | Male | Bhawabhiti Mahavidyalaya, Amgaon, Dist gondia | Asso. Prof. | Amravati University, Amravati | 1986 | |
9 | 22675 | Dr. Sujatha Janardhan | Female | St. Francis De Sales College | Asst. Prof. | Lady Doak College, Madurai | 1989 | 12/30/2008 |
10 | 22688 | Asso.Prof. Sanjay Baburao Sarwe | Male | St. Francis De Sales College, Nagpur. Affiliated to RTM Nagpur University, Nagpur | Asst. Prof. | Nagpur University, Nagpur | 1988 | 12/29/2007 |
11 | 22707 | Mr Kiran Virivinti | Male | Department Of Mathematics | Asst. Prof. | OSMANIA UNIVERSITY | 2002 | 5/31/2016 |
12 | 22857 | Mr. Jervin Zen Lobo | Male | St. Xavier's College | Asst. Prof. | Goa University | 2012 | |
13 | 22874 | Mr Akshaykumar Jagdishrao Meshram | Male | Yeshwantrao Chavan College of Engineering | Asst. Prof. | Rashtrasant Tukadoji Maharaj Nagpur University | 2012 | |
14 | 22906 | Mr. Rohit Madhukar Patne | Male | Jd College Of Engineering | Asst. Prof. | IIT Guwahati | 2013 | 1/14/2016 |
15 | 22953 | Mr Nitin Nishantsingh Chandel | Male | Priyadarshini Institute of Engineering and Technology, Nagpur | Asst. Prof. | RTMNU NAGPUR | 2005 | |
16 | 23051 | Mr. Gulshan Omprakash Makkad | Male | Jhulelal Institute of Technology | Asst. Prof. | PGTD Campus, RTM Nagpur University, Nagpur | 2006 | |
17 | 23058 | Mr. Prashant Vithobaji Nimje | Male | Shri Mathuradas Mohota College of science | Asst. Prof. | Rtm nagpur university | 2015 | |
18 | 23153 | Mr. Pravin Purushottam Sayare | Male | Govt. Institute of Science, Nagpur | Asst. Prof. | M.Sc. | 2010 | |
19 | 23154 | Mr. Uday Sajjan Thool | Male | Govt. Institute of Science Nagpur | Asst. Prof. | RTM NAGPUR UNIVERSITY | 1988 | 7/27/2008 |
20 | 23210 | Dr Ujwal Sureshrao Warbhe | Male | Bajaj Institute of Technology | Asst. Prof. | Nagpur University | 2012 | 11/20/2017 |
21 | 23270 | Ms Priyanka Suresh Aware | Female | Visvesvaraya national institute of technology nagpur | MSc student | Visvesvaraya national institute of technology Nagpur | Appeared / Awaiting Result | |
22 | 23272 | Ms. Shobha Yadav | Female | Govt. College Jatauli Haily Mandi Gurugram | Asst. Prof. | IIT Delhi | 2013 | 11/1/2016 |
23 | 23275 | Dr. Kirti Santos Kumar Sahu | Female | St. Vincent Pallotti College of Engineering and Technology | Asst. Prof. | Nagpur University, Nagpur | 2006 | 10/30/2014 |
24 | 23304 | Dr. Rishi Krishnakumar Agrawal | Male | Hislop College | Asst. Prof. | Nagpur University | 1996 | 5/9/2018 |
25 | 23392 | Dr. Prafulla Onkarji Bagde | Male | RCOEM, Nagpur | Asst. Prof. | M.Sc. | 2007 | 10/17/2017 |
26 | 23420 | Mr Asfar Hasan Siddiqui | Male | yeswantrao chavan college of engineering. | Asst.Prof | RTMNU | 2009 | |
27 | 23428 | Ms. Aarti Keshorao Patle | Female | Visvesvaraya National Institute of Technology, Nagpur | PhD | Visvesvaraya National Institute of Technology, Nagpur | 2014 | |
28 | - | Dyuti Roy | IISER Thiruvanathapuram | Phd | ||||
29 | - | Prasanna Kulkarni | Ramdeobaba college of Engineering and Management Nagpur | Asst. Prof. | ||||
30 | - | Shailesh Goregaonkar | Meghnad Desai Academy Of Economics, Mumbai | Visiting Faculty | ||||
31 | - | Mrs.Manjusha Patne | Ramdeobaba college of Engineering and Management Nagpur | Asst. Prof. | ||||
32 | - | Mrs.Prachi Saoji | Ramdeobaba college of Engineering and Management Nagpur | Asst. Prof. |
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