WEBINAR SUMMARY REPORT

Title: The evolution of single step methods to solve initial value problems

The Department of mathematics and IQAC of Deshbandhu College, University of Delhi organized an interactive webinar on “ The Evolution of Single Step Methods to solve Initial Value Problems” on January 29, 2021. With good number of participation of more than 180 including Faculty, Research Scholar and Students from India. The webinar was a part of the ongoing Kshitiz Mathematics Lecture Series initiated by Department of Mathematics under the guidance of Ms. Harindri Chaudhary as a convener, Mr. Chandra Shekhar as Teacher in charge and our Principal Dr. Rajiv Aggarwal. The guest speaker was Prof Kapil Sharma, Department of Mathematics, South Asian University, New Delhi. Webinar started with a brief welcome to the audience by Ms. Usha Arora followed by Saraswati Vandana. Mr. Chandra Shekhar presented the formal welcome address.

In his talk, Prof Sharma started with some motivations "Why do we need mathe- matics in real-life problems". He gave few examples where without the use of math- ematics, we could not predict the outcomes with accuracy as in

(a) Weather Forecasting (b) Population Dynamics

(c) Missiles Projection (d) Heat Transmission.

He presented a mathematical model for the distribution of heat as a time-dependent parabolic problem.  Further, he defined the initial value problems as first-order ordinary differential equations. He gave the remarks that it is not easy to find an analytical solution to such ini- tial value problems until the function is in a simple form. He described the various one steps numerical techniques to solve the initial value problem. He provided a brief sketch of proof using Taylor theorem and said the RK 4 method is an optimal method where the number of function evaluation and order of method is the same.

At last, the speaker interacted with the audience and answered the question raised by participants. In this way, the webinar enlightened the audience about the use of one-step methods to solve the various initial value problems. Webinar ended with the vote of thanks by the convener Ms. Harindri Chaudhary.

Organizing Committee:  Ms. Usha Arora, Dr. Pramod Arora, Ms. Harindri Chaudhari, Dr. Navin Chandra, Mr. Manoj Kumar, Dr. Rajendra Kumar, Mr. Chandra Shekher, Mr. Mukesh Aggarwal, Mr. Rohit Goel, Ms. Parveen Bava, Dr. Shushil,  Dr. C. P. Ban, Dr. Sunil Kumar, Mr. Om Prakash Meena, Mr. Dinesh, Ms. Shipra, Dr. Pankaj Mishra, Dr. Chirag, Ms. Preeti Gupta, Ms. Preeti Yadav, Mr. Vikender, Ms. Saloni Gupta

                                    WEBINAR SUMMARY REPORT

1. Title: Introduction to Wolfram Mathematica

2. Purpose: The aim of this webinar is to explore the technologies on the Wolfram platform including Mathematica and Grid Mathematica for a wide variety of practical applications across a variety of disciplines. Attendees will not only see new features in the Wolfram Language, but will also receive examples to begin using this functionality immediately. Any faculty, student and employee can attend, and no prior experience with Wolfram Technology is required.

3. Discussion: The Department of mathematics and IQAC of Deshbandhu College, University of Delhi organized an interactive webinar on “Introduction to Wolframe Mathematica” on 07 th Sep, 2020. With the massive participation of more than 300 including Faculty, Research Scholar and Students from India and abroad, the webinar was a part of the ongoing Kshitiz Mathematics Lecture Series initiated by Department of Mathematics under the guidance of Ms Harindri Chaudhary as a convener, Mr. Chandra Shekhar as Teacher in charge and our Principal Dr. Rajiv Aggarwal. The guest speaker was Mr. Mahendra Singh Bisht, System Engineer SCUBE Scientific Software Solution (P)Ltd, New Delhi. Webinar started with a brief welcome to the audience by Ms. Usha Arora followed by Saraswati Vandana. Dr. Rajiv Aggarwal presented the formal welcome address. In his talk, Mr. Mahendra spoke about the Mathematica which are used in almost every field of Mathematics. He starts implementation of mathematica to solve second order partial differential equations which contain nonlinear coefficients. He has discussed Wolfram Alpha and also discuss its importance, limitations and its rules. He talked about its feature, programming and design of programming using Mathematica. He has practically explained how to run plotting, list, clear and many more commands and discuss set function and set delay function in Mathematica. He also explains Parallelization and GPU programming. At last speaker interacted with the audience. In this way, webinar enlightened the audience with uses of Mathematica. Finally, the vote of thanks was given by the Teacher-in-Charge Mr. Chandra Shekhar and webinar concluded with National Anthem.

Organizing Committee:  Ms. Usha Arora, Dr. Pramod Arora, Ms. Harindri Chaudhari, Dr. Navin Chandra, Mr. Manoj Kumar, Dr. Rajendra Kumar, Mr. Chandra Shekher, Mr. Mukesh Aggarwal, Mr. Rohit Goel, Ms. Parveen Bava, Dr. Shushil,  Dr. C. P. Ban, Dr. Sunil Kumar, Mr. Om Prakash Meena, Mr. Dinesh, Ms. Shipra, Dr. Pankaj Mishra, Dr. Chirag, Ms. Preeti Gupta, Ms. Preeti Yadav, Mr. Vikender, Ms. Saloni Gupta

                                    WEBINAR SUMMARY REPORT

Title: Fractals and its Application in Real Life

The Department of mathematics and IQAC of Deshbandhu College, University of Delhiorganized an interactive webinar on “Fractals and its Application in Real Life” on 25th Aug, 2020. With the massive participation of 300 including Faculty, Research Scholar and Students from India and abroad, the webinar was the inaugural lecture of the Kshitiz Mathematics Lecture Series initiated by Department under the guidance of Mr. Chandra Shekhar as Teacher in charge and Principal Dr. Rajiv Aggarwal. The guest speaker was Prof. Rashmi Bhardwaj, university school of Basic and Applied Sciences GGSIP University, Delhi. Webinar started with a brief welcome to the audience by Ms. Usha Arora followed by Saraswati Vandana. Dr. Rajiv Aggarwal presented the formal welcome address. In her talk Prof. Rashmi spoke about the fractals which are used in almost every field like Mathematics, Biology, Physics, Music and arts, Geology and many more. She focused on real life application where we can see fractals such as Nature, Architectural Design, Human Anatomy, Kemotherapy etc. She also talked about Cantor Set and Koch Curve which are the example of fractals with perfect self similarity. At last speaker interacted with the audience. In this way, webinar enlightened the audience with uses of fractals in Real Life. Webinar ended with the vote of thanks by the Convener Ms. Harindri Chaudhary.

Organizing Committee:  Ms. Usha Arora, Dr. Pramod Arora, Ms. Harindri Chaudhari, Dr. Navin Chandra, Mr. Manoj Kumar, Dr. Rajendra Kumar, Mr. Chandra Shekher, Mr. Mukesh Aggarwal, Mr. Rohit Goel, Ms. Parveen Bava, Dr. Shushil,  Dr. C. P. Ban, Dr. Sunil Kumar, Mr. Om Prakash Meena, Mr. Dinesh, Ms. Shipra, Dr. Pankaj Mishra, Dr. Chirag, Ms. Preeti Gupta, Ms. Preeti Yadav, Mr. Vikender, Ms. Saloni Gupta