Numerical Analysis

Workshop has been cancelled.

Convener(s)

 
Name: Prof.(Dr.) Preeta Nilesh Mr. Sandip D. Kambale. Mr. Gawade Kishor Kantaram.
Mailing
Address:
Principal
KET’s V. G. Vaze College of Arts, Science & Commerce, Mithagar Road, Mulund (E)-400081.
Assistant professor
KET’s V. G. Vaze College of Arts, Science & Commerce, Mithagar Road, Mulund (E)-400081.
Assistant Professor
KET’s V. G. Vaze College of Arts, Science & Commerce, Mithagar Road, Mulund (E)-400081.
Email:  principal at vazecollege.net  sndipk at vazecollege.net kishorgawade at vazecollege.net

Numerical Analysis consists of various numerical methods to solve real life problems arising in various engineering and science subjects like Physics, Chemistry, Biology, Geography, and so on. The content of workshop is based on UG Syllabus for Numerical Analysis course introduced in University of Mumbai, following topics from book on Numerical Analysis by M. K. Jain, S. R. K. Iyengar and R. K. Jain, Numerical Methods for Scientific and Engineering Computation, New Age International Publications. The speakers are expert in these subjects and their talks will include applications of the material covered. Brief introduction to advanced techniques of solving systems of linear equations, transcendental and polynomial equations,. will also discuss to highlight the importance of studying ordinary differential equations and integration. Teachers are encouraged to enroll for this TEW and take advantage of this interacting with these speakers.

Please note that TEW is meant only for the local college teachers. The lectures in this workshop covers specific topics which are relevant for the teachers' classroom instructions. The usual length of the TEW is 5/6 days. An important component of this programme is the discussion hour during which the teachers will have opportunities to get their doubts cleared.

Dates: 

Monday, February 24, 2025 - 19:00 to Monday, March 3, 2025 - 19:00

Venue: 

Venue Address: 

KET’sV.G.VazeCollegeofArts,Science &Commerce,MithagarRoad,Mulund(E)-.

 

 

Venue State: 

Venue City: 

PIN: 

400081

Syllabus: 

 

Name of the Speaker with affiliation No. of Lectures Detailed Syllabus
Dr. Amiya Bhowmick Assistant professor Department of Mathematics ICT, Mumbai. 6 Transcendental and Polynomial Equations
Iteration methods based on second degree equation: Muller method, Chebyshev method, Multipoint iteration method.
Iterative methods for polynomial equations; Descarts rule of signs, Birge-Vieta method, Bairstrow method. Methods for multiple roots. Newton-Raphson method. System of non- linear equations by Newton- Raphson method. Methods for complex roots. Condition of convergence and Rate of convergence of all above m
Dr. Vinayak Kulkarni Professor
Department of Mathematics University of Mumbai, Mumbai.
6 Linear System of Equations
Matrix representation of linear system of equations. Direct methods: Gauss elimination method. Pivot element, Partial and complete pivoting, Forward and backward substitution method, Triangularization methods-Doolittle and Crouts method, Choleskys method. Error analysis of direct methods. Iteration methods: Jacobi iteration method, Gauss- Siedal method. Convergence analysis of iterative method.
Eigen value problem, Jacobis method for symmetric matrices Power method to determine largest eigenvalue and eigenvector.
Dr. Seema Purohit Professor Emeritus,
B K Birla College, Kalyan Ex- Professor,
Kirti College, University of Mumbai, Mumbai.
  Interpolation
Interpolating polynomials, Uniqueness of interpolating polynomials. Linear, Quadratic and Hillgher order interpolation. Lagranges Interpolation. Finite difference operators: Shift operator, forward, backward and central difference operator, Average operator and relation between them. Difference table, Relation between difference and derivatives. Interpolating polynomials using finite differences Gregory-Newton forward difference interpolation, Gregory-Newton backward difference interpolation, Stirlings Interpolation. Results on
interpolation error.
Dr. Hanumant Salunkhe Assistant Professor Department of Technology Shivaji University, Kolhapur.   Numerical differentiation:
Numerical diferentiation based on Interpolation, Numerical differentiation based on finite differences (forward, backward and central), Numerical Partial differentiation.
Numerical Integration
Numerical Integration based on Interpolation. Newton-Cotes Methods, Trapezoidal rule, Simpson's 1/3rd rule, Simpson's 3/8th rule. Determination of error term for all above methods. Convergence of numerical integration: Necessary and sufficient condition (with proof). Composite integration methods; Trapezoidal rule, Simpson's rule

References:

  1. S. S. Sastry Introductory methods of Numerical Analysis, Prentice Hall India Learning Private Limited.

 

Name of the tutors:

S. No.

Name

Affiliation

1

Mr.Ejaz Shaikh

V.G.VazeCollege,Mulund(E)

2

Mr.Akshay Lambore

V.G.VazeCollege,Mulund(E)

3

Ms.Farheen Maniyar

V.G.VazeCollege,Mulund(E)

4

Ms.ChhayaZagade

V.G.VazeCollege,Mulund(E)

 

 

 

 

Time Table: 

 Time-table (with names of speakers and tutors):

Day

Date

Lecture 1

Tea

Lecturer 2

Lecture 3

Lunch

Lecture 4

Tea

Discussion

Snacks

 

 

(9.30–10.30)

(10.35-10.55)

(11.00–12.00)

(12.00–1.00

(1.00-2.20)

(2.30-3.30)

(3.35-3.55)

 (4.00-500)

(5.05-5.35)

Mon

24/02/2025

AB

 

AB

VK

 

VK

 

AB/ES/AL

 

Tue

25/02/2025

VK

 

VK

AB

 

AB

 

AB/ES/AL

 

Thu

27/02/2025

AB

 

AB

VK

 

VK

 

VK/ES/AL

 

Fri

28/02/2025

SP

 

SP

HS

 

HS

 

HS/FM/CZ

 

Sat

01/03/2025

SP

 

SP

HS

 

HS

 

HS/FM/CZ

 

Mon

03/03/2025

HS

 

HS

SP

 

SP

 

SP/FM/CZ

 

 
Full forms for the abbreviations of speakers and tutors:
AB: Dr. Amiya Bhowmick VK:
Dr. Vinayak Kulkarni SP:
Dr. Seema Purohit
HS: Dr. Hanumant Salunkhe.
ES: Mr. Ejaz Shaikh
AL: Mr. Akshay Lambore
FM: Ms. Farheen Maniyar
CZ: Ms. Chhaya Zagade

 

 

 

Selected Applicants: 

Sr.No. SID Full Name Gender Affiliation Position in College University/In stitute MSc./M.A Year of Passing MSc./M. A Ph.D. Degree Date
1 59771 Dr IRSHAD AHMAD SHEIKH Male GHSS Drang Khag budgam Jk India Srinagar , Jammu and Kashmir , India , PIN: 193401 Lecturer Kashmir University 2008 3 Sep 2015
2 59990 Dr. Jai Prakash Jaiswal Male Guru Ghasidas Vishwavidyalaya Bilaspur , Chhattisgarh , India , PIN: 495009 Associate Professor Purvanchal University, Jaunpur (UP) 2007 26 Jun 2010
3 60617 Mr Kunalkumar Nandakumar Shelar Male VES College of Arts, Science and Commerce, Chembur Mumbai , Maharashtra , India , PIN: 400071 Assistant Professor Indian Institute of Technology, Bombay 2013 Appeared
4 61188 Mrs. Reena Deepak Nagda Female PTVA's Mulund College of Commerce Mumbai , Maharashtra , India , PIN: 400080 Asst.Prof. University of Mumbai 2005  
5 61266 Dr. Sanket Arun Tikare Male Ramniranjan Jhunjhunwala College Mumbai , Maharashtra , India , PIN: 400086 Assistant Professor Shivaji University 2008 16 Jul 2012
6 61535 Ms. Shefali Jauhri Female Invertis University BAREILLY , Uttar Pradesh , India , PIN: 243122 Asst.Profe ssor M.J.P Rohilkhand 2008  
7 61542 Dr. Komal Goyal Female Galgotias Institute of Management and Technology Greater Noida , Uttar Pradesh , India , PIN: 201310 Asst. Prof. University of Delhi 2021 17 Aug 2024
8 61593 Mrs Sonali Mandar Narsale Female MES Wadia College Of Engineering Pune Pune , Maharashtra , India , PIN: 411001 Assistant Professor Savitribai Phule Pune University 2006  
9 61612 Mr. Hrutikkumar NareshKumar Chudasama Male Smt Devkiba Mohansinhji Chauhan College of Commerce & Science. Silvassa , Dadra and Nagar Haveli , India , PIN: 396230 Assistant professor Institute of Science 2023  
10 61632 Mr Ranjeet Singh Male APSIT COLLEGE THANE THANE , Maharashtra , India , PIN: 400615 Assistant prof. veer bahadur singh purvanchal university jaunpur 2014  
11 61650 Ms CHESINTHA C Female Rathinam College of Arts and Science Coimbatore , Tamil Nadu , India , PIN: 641021 Assistant Professor Bharathiar University M.Sc 2019  
12 61647 Dr Lakshmi Rani Basumatary Female Zakir Husain Delhi College Delhi , Delhi , India , PIN: 110002 Assistant Professor Gauhati University 2012 28 Feb 2023
13 61669 Mrs. Meena Kailas Patil Female sndt college of arts and scb college of commerece and science for women ,churchgate. mumbai , Maharashtra , India , PIN: 400020 Assistant Professor Indian Institute of Technology, Mumbai 1999  
14 61677 Ms. USHA RAMLAL BAG Female Shree L. R. Tiwari College of Engineering Thane , Maharashtra , India , PIN: 401107 Assistant Professor University of Mumbai 2006 9 Aug 2024
15 61705 Dr. DNYANESHWAR DATTATRAY BOBALADE male Department of Mathematics, Ramniranjan Jhunjhunwala College, Mumbai Ghatkopar , Maharashtra , India , PIN: 400086 Assistant Professor Shivaji University, Kolhapur 2016 21 Apr 2023
16 61716 Mr. Mahmood Ahmed Nasiruddin Khan male K.E.T.'s V. G. Vaze College Mumbai , Maharashtra , India , PIN: 400081 Assistant Professor University of Mumbai 2019  
17 61723 Ms. Mitali Sanjay Koshti Female Nirmala memorial foundation college Mumbai , Maharashtra , India , PIN: Assistant Professor University of Mumbai 2022  
18 61728 Ms. Nasreen Atifali Shaikh Female Rizvi College of Arts, Science and Commerce Mumbai , Maharashtra , India , PIN: 400050 Lecturer University of Mumbai 2020  
19 61793 Mr Sandeep Sudam Kajabe male GES's Dr T K Tope Art's and Commerce Night College, Parel, Mumbai-12. Mumbai , Maharashtra , India , PIN: 400012 Assistant Professor SPPU, Pune. 2012  
20 61781 Ms. Harshal Pandurang Badgujar Female Universal College of Engineering Vasai , Maharashtra , India , PIN: 401404 Assistant Professor Mumbai University 2022  
21 61906 Ms. Sneha Suresh Jadhav Female Universal College of Engineering Mumbai , Maharashtra , India , PIN: Assistant Professor University of Mumbai 2023  
22 61901 Mr. Mohd Asad Male Aligarh muslim university Aligarh , Uttar Pradesh , India , PIN: 202002 Doctrate Aligarh muslim university 2015 26 Sep 2023
23 61888 Mr. Arvind Shankarrao Salve Male Dr S D Devsey Arts College and Commerce and Science College Wada, Dist. Palghar , Maharashtra , India , PIN: 421303 Assistant Professor Shivaji University Kolhapur 2010  
24 62192 Dr. sushma V Parmar Female PCCOE Pune , Maharashtra , India , PIN: 411007 Assistant Professor North Maharashtr a University Jalgoan 1999 31 Mar 2023
25 60603 Mr. Ramkrishna Tope Male AISSMS, Institute of Information Technology Pune, Maharashtra,India, 411001 Assistant Professor SPPU 2012  

 

 

 

How to Reach: 

TBA

School Short Name: 

na

Last Date Application: 

Friday, January 10, 2025

School Type: 

TEW

Separate faculty form: 

0