Convener(s)
| Name: | Dr. Sarika | Prof. J. K. Singh | Dr. Amita Sharma |
| Mailing Address: | Assistant Professor Department of Mathematics , NSUT, Delhi. |
Professor, Department of Mathematics, NSUT, Delhi. |
Assistant Professor Department of Mathematics, NSUT Delhi. |
| Email: | sarika1.iitd at gmail.com, sarika at nsut.ac.in | jksingh at nsut.ac.in | amita.sharma at nsut.ac.in |
This Teachers’ Enrichment Workshop (TEW) is aimed primarily for mathematics teachers at the under graduate and post graduate levels. While research scholars in mathematics may also apply, they will be given lower preference in the selection. The sessions will be geared towards exploring and the understanding of the fundamental concepts and results in Analysis and Ordinary Differential Equations with a strong emphasis on developing effective problem-solving skills. The workshop will be an intensive one, and only those who are willing to actively participate need to apply.
Please note that the Teacher Enrichment Workshop (TEW) is exclusively intended for college teachers in the NCR region. Therefore, no accommodation is provided. The workshop's lectures specifically address topics directly relevant to the teachers' classroom teachings. The lectures in this workshop covers specific topics which are relevant for the teachers' classroom instructions. An important component of this programme is the discussion hour during which the teachers will have opportunities to get their doubts cleared.
Dates:
Venue:
Venue Address:
Department o fMathematics,Netaji Subhas University of Technology, Main Campus,Sec-03, Dwarka, Delhi 110078.
Venue State:
Venue City:
PIN:
Syllabus:
|
Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |
|
Prof.K.Sreenadh, |
6 |
Existence and Uniqueness of Initial Value Problems: Picard's and Peano's Theorems,Gronwall's inequality,continuation of solutions and maximal interval of existence, continuous dependence. Linear Systems,matrix exponential solution,Autonomous Systems and its applications. |
|
Prof. Debdip Ganguly, |
6 |
Limits of a function, Continuous function, uniform continuity, Holder continuity, Metric spaces, Contraction map and its applications to Fixed point Theorem, convergence of sequences of functions. Compact spaces, Characterization of compact metric spaces, locally compact space, Arzela-Ascoli Theorem and its applications |
|
Prof.Harish Kumar, |
6 |
Phase Plane Analysis, critical points,linearized stability Theory and Lyapunov methods. |
|
Dr.Sarika Goyal, |
6 |
Sturm-Liouvilleo scillation theory,Greens functions,Boundary value problems. |
References:
1. M. Hirsch, S. Smale and R. Deveney, Differential Equations, Dynamical Systems and Introduction to Chaos, Academic Press, 2004.
2. L. Perko, Differential Equations and Dynamical Systems, Texts in Applied Mathematics, Vol. 7, 2nd Edition, Springer Verlag, New York, 1998.
3. D. A. Sanchez, Ordinary Differential Equations and Stability Theory: An Introduction, Dover Publ. Inc., New York, 1968.
4. Shair Ahmad and Antonio Ambrosetti, A textbook on Differential Equations, Springer
5. T. Apostol, Mathematical Analysis, 2nd Edition, Narosa, 2002.
6. W. Rudin, Principles of Mathematical Analysis, 3rd Edition, McGraw-Hill, 1984.
7. H. L. Royden, Real Analysis, 3rd Edition, Macmillan, 1988.
8. K. Ross, Elementary Analysis: The Theory of Calculus, Springer Int. Edition, 2004.
Name of the tutors:
|
S.No. |
Name |
Affiliation |
|
1 |
Miss Nidhi Kaushik |
IIT Delhi |
|
2 |
Mr.Shammi Malhotra |
IIT Delhi |
Time Table:
|
Day |
Date |
Lecture1 (9.30 |
Tea |
Lecture2 (11.00-12.00) |
Lecture3 (12:00:1:00) |
Lunch |
Lecture4 |
Tea |
Discussion |
|
Mon |
06/07/26 |
DG |
|
KS |
DG |
|
KS |
|
DG+SM+NK |
|
Tue |
07/07/26 |
DG |
|
KS |
DG |
|
KS |
|
KS+SM+NK |
|
Wed |
08/07/26 |
DG |
|
KS |
DG |
|
SG |
|
KS+SM+NK |
|
Thu |
09/07/26 |
SG |
|
HK |
KS |
|
HK |
|
SG+SM+NK |
|
Fri |
10/07/26 |
SG |
|
HK |
SG |
|
HK |
|
HK+SM+NK |
|
Sat |
11/07/26 |
SG |
|
HK |
SG |
|
HK |
|
SG+SM+NK |
Full forms for the abbreviations of speakers and tutors:
Prof. K. Sreenadh: KS
Prof. Debdip Ganguly: DG
Prof. Harish Kumar: HK
Dr. Sarika Goyal: SG
Mr. Shammi Malhotra: SM
Miss Nidhi Kaushik: NK
Selected Applicants:
How to Reach:
TBA