Report for Faculty Development Programme-20 On “Recent Trends in Research Methodology, E-Content, Mathematical and Statistical Methods in Open Education World” (December 17-23, 2019)

The 20th Faculty Development Programme on “Recent Trends in Research Methodology, E- Content, Mathematical and Statistical Methods in Open Education World” is being organized by Mahatma Hansraj Faculty Development Centre (MHRFDC), in collaboration with Kalindi College, University of from 17th -23rd Dec-2019. The opening session of this 7 days Programme started when our Chief Guest honorable Professor Dinesh Singh, former Vice-Chancellor, University of Delhi lighted the lamp for the blessings in the Seminar Room of Kalindi College at 9.30 am on 17.12.2019. Addressing the participants, the chief guest delivered an inspirational and motivational speech to instill the sense of learning, the will and perseverance to hurdle obstructions that get in the way for the students and teachers. . In his speech, he emphasized the importance of teacher's responsibilities and quality education through numerous examples of great personalities such as Newton, Einstein, S. Ramanujan, Mendel, Faraday, Saint Kabir Das, Mahatma Gandhi, Galib etc. He revealed his deep connection with Kalindi college right from his early childhood highlighting the kind and concerning nature of the first Principal of this college Dr. Shiva Dua. He concluded his speech, focusing on, the practical insight knowledge and the maximum use of technology for the development of the minds of future generation

After the inauguration Dr. Namitha Rajput, Principal of Sri Aurbindo College (Evening) has took the two sessions. The first session was relating to MOOCs (Massive Open Online Courses) Regulations and Guidelines. The session covered importance and development of MOOCs course. Further, discussed 3 major parts of the MOOCs namely, content writer, reviewer and student. Madam provided clear picture of eligibility criteria, how to write subject mapping and availability of SWAYAM (Study Webs of Active Learning for Young Aspiring Minds) courses for students. Later gave few lists of National Coordinators of MOOCs such as., UGC, IISC Bangalore, NPTL, IGNOU, NCERT, NIOS, IIMB, NIITTR Chennai, etc. The sessions were informative, enlightening and engaging. It was extremely interactive with Dr. Rajput answering the queries put forth by the participants and encouraging them to engage with the MOOC platform in multifaceted roles as a student, content writer or reviewer.

The last session of the first day was taken by Dr. Pratibha Jolly, former principal of College on “Science, Society and Exponential Change: Re- Imaging the Future”. Talk was mainly based on technological advancements will occur in future and their impact on the society. As in 21st century new technologies are replacing the old ones. She talked about sustainable development, quantum computers, artificial intelligence, digital twinning, image of black hole, bionic leaves, artificial photosynthesis, automation and robotics, artificial neural networks, deep satellite imaging, neural decoding, growing organs in lab etc. She concluded that in all domains like agriculture, defiance, medical, schooling etc. society will be based on the advance technologies and the future of the society will be totally based on artificial intelligence On day 2, December, 18, 2019, Prof. Dr. Anil Kumar Goyal, belongs to Rukmini Devi Institute of Advanced Studies, presented his lecture on Factor Analysis, E- content Development in two sessions. He focused upon the practical implementation of Exploratory Factor Analysis (EFA). He started with the concept of factors which is a group of similar statements through various examples. He further explained that the ideal sample size is Five times of the question listed in questionnaires or minimum 100 units. He mainly explained practical approach of research through Statistical Packages like SPSS. He provides us a SPSS file also which have several types of Data with many types of calculations. He explained step by step to use these software and its analytical tools so that a Researcher can easily calculate the basic statistics required for Social as well as Natural Sciences.

The last two sessions on "Social Science Funding Opportunities in " of the day, was taken by Prof. Upendra Chaudhary, Director of Indian Council of social science Research. Prof. Chaudhary served as both as the Member Secretary and director of the Indian Council of social science Research (ICSSR), Ministry of Human Resources development, Government of India. He emphasized that today there is a need of trans-discipline research because all the fields are inter related. His focus was on the funding opportunities in social science research. Many government institutes, such as - ICSSR, ICHR, ICMR, ICCR, CSIR, UGC and so on, are providing funds for research in various fields such. These institutes promote inter disciplinary, multidisciplinary and trans-disciplinary research in India. Prof. Upendra Chaudhary well addressed the mission and objectives of ICSSR. The ICSSR was established in the year 1969 by the government of India on the recommendations of planning commission. It is an autonomous body, under the department higher education, MHRD. Day 3, December, 19, 2019, first session was taken by Prof. Ayub Khan, presently, pro Vice- Chancellor of Maulana Azad National Urdu University, Hyderabad. Prof. Khan focused on “Mathematical Modelling and Real Life Problems in current scenario”. He explained research methodology in applied mathematics in a very lucid way. Next two sessions of the day were taken by Dr. Girish Mishra, Scientist "E" at Scientific Analysis Group (SAG) from Defence R&D Organisation (DRDO), Govt. of India, on "Cryptography and Cyber security". Dr. Mishra emphasized on security issues for day to day cyber activity performed by a common man. He also discussed about the block chain- a growing list of records, called blocks that are linked together using cryptography. By design, a block chain is resistant to modification of the data. The talk also highlighted about the virtual currency- an electronic representation of monetary value that may be issued, managed, and controlled by private issuers, developers, or the founding organization. Dr. Mishra also talked about Bit coin, a cryptocurrency which is a decentralized digital currency without a central bank or single administrator that can be sent from user to user on the peer-to-peer bitcoin network without the need for intermediaries. The last session of the day was taken by Prof. Shobha Bagai, Former Director of CIC, University of Delhi on the topic “Mathematical Modelling and various applications of Mathematics in Interdisciplinary World”. Prof. Bagai talked about importance of practical understanding of real world problems. Day 4, December, 20, 2019, started with two sessions of Prof. C. S. Lalitha, Head Department of Mathematics, University of Delhi. Prof. Lalitha delivered her talk on the topic of “Mathematics and Medicine” and “Convex Functions”. She defined convex function with the help of simple examples so that every participant can understand the topic. She explained the concept of local and global minima. While explaining the concept for multivariate function she has let the participant to know about Hessian Matrix and positive semi definiteness. Prof. Lalitha, explained the optimality condition in Euclidean Space and with contours of functions. The last two sessions of the day was taken by Dr. Yash Paul Sharma, Director CIET, NCERT, Delhi. Dr. Sharma initiated his lecture by citing the “Importance of MOOCs and SWAYAM” which provides online platform for teaching and learning. He discussed the importance of E- Contents in the current world. The basic motto of MOOC’s is to learn. He discussed how open source contents can be used and explained the concept of copyright. He elaborated that copyright is required to have the right to reproduce work, prepare derivatives of work, distribute copies and display publically. Day 5, December, 21, 2019, started with first session taken by Dr. Ranjana Jain, Department of Mathematics, University of Delhi, on the topic “Research Methodology in Mathematics”. Dr. Jain, talked about everything in research methodology and everyone was so impressed by her lecture. Second session was another inspirational talk delivered by Prof, A. K. Bakhshi, Vice- Chancellor, PDM University, on “Towards Excellence in Higher : Challenges and Opportunities”. Prof. Bakhshi, discussed about future goals of education in India. The last two sessions of the day was taken by Prof. Dhananjay V. Gadre, Director, TI Centre for embedded product design, Netaji Subhas Institute of Technology on Tinkering for Scientists and Engineers. Dr. Gadre started his lecture explaining that how parts of old computers are being used in our daily routine like refrigerator, televisions, washing machine etc. Therefore these items are also known as embedded computer. Dr. Gadre explained why there is a great need to know the power of electronics. He displayed an innovative inauguration Lamp different from ordinary oil lamp which can also work under fan or fire sensor without use of fire. It was very fascinated because it can also prevent accident caused by oil lamp as there was electronic match box and stick/candle. Dr. Gadre also explained it’s on infrared principal. Dr. Gadre also explained Indian made of world’s most reliable remote as well as battery-less dice toy. Both of these devices used human mechanical energy and convert that into electrical energy. Therefore there is no need of any battery and will also save environment from e-waste. Dr. Gadre explained meaning of “Tinkering” and “Atal Tinkering Lab”. He also discussed a very fascinated model of fire free birthday candle (from 1-20 years) work similarly as normal candle but additionally it has a background music too. It works on difference of temperature caused by high pressure air. Dr. Gadre also explained this phenomenon with the help of differential equation of mathematic. A unique LED light which can have 256 different coloure and can be used in series to make millions of different colours alongwith its mechanism was also explained by Dr. Gadre. Similar technique has also been adopted by Sysca mood lamp. How a 3-D printer work and why produce cheap prototype whereas for mass production conventional dyes become cheaper has also beed explained by Dr. Gadre. In the end a light doodling picture; multilingual talking thermometer, milling machine like sand watch was displayed by Dr. Gadre which is based on credit size computer called raspberry pie without using any artificial intelligence and can be used as stopwatch. He also showed Indian machine equivalent to talking tom which can also be used as an alien language. A very productive discussion session was like icing on the cake. Session was ended with vote of thanks and great round of applause. Day, 7, December, 23, 2019 session I on Role of Biostatistics in Biomedical Research taken by Dr. Indrakant Kumar Singh, , University of Delhi. Dr. Singh discussed about mathematics areas in the field of biology like calculus, probability and statistics, linear algebra, topology, dynamical systems, differential equations, coding theory, graph theory etc. He discussed about the role of mathematics in various disciplines like biostatistics, health, medicines, nutrition’s, genetics, epidemiology etc. He discussed types of variables, methods of data collections, primary data, secondary data, analysis and interpretation. He discussed almost all aspects of statistics in research. It was really great learning curve to use methods of mathematics and statistics in the field of research. Session II and III was focused on Molecular Modelling by Dr. Shubhra Chaturvedi, Scientist ‘E’ DRDO, Govt. of India. She talked about Molecular Modelling. She also discussed Molecular Modelling Probes Application. She elaborated various approaches to Molecular Modelling as well. She dealt with Ligand Based and Structure Based Drug Approaches in very interactive manner. She also discussed, at length, successes of Computer Aided Drug Design (CADD). All the participants were actively involved in the discussion.

The inaugural session was chaired by Dr. Tarkeswar Gautam with great enthusiasm and introduction of each and every session delivered during the FDP. Initially, Vice Principal, Dr. Anjula Bansal thanks all participants for attending successfully all sessions and to discuss their quarries from expert of various fields. Prof P. C. Tandon, chairman, Kalindi College, discussed about importance of E- Content and his involvement in the preparation of E- content development for MHRD, Govt. of India from past few years successfully. He also informed about various U- tube channels, IGNOU, free sites to explore E- contents on different disciplines. It was really amazing to watch and listen words of Prof. Anula Maurya, Vice- chancellor, Jagad Guru Ramanandacharya University, Jaipur Rajasthan and former Principal Kalindi College. Madam thanks to everyone be it participants, IQAC Kalindi Team, Hansraj College. She discussed about her involvement in organizing and motivating this faculty development programme from the initial stage to the final outcome. It was really an emotional and honest conclusion of the faculty development programme from Iron lady Prof. Anula Maurya. She motivated everyone to be a part of such programs and tells about great learning experience for faculty members for all over universities of India.

Report submitted by Dr. Prempal Singh Department of Mathematics Kalindi College