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on Co-ordinator’s WhatsApp Number +91-9891643856 Last Date: 05/05/2020 (6 P.M.)

University Department of Mathematics L. N. MITHILA UNIVERSITY Kameshwarnagar, Darbhanga-846004 ()

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Today’s world is highly technology driven and various reports and research have suggested that many jobs that will exist in the near future haven’t been invented yet. It is expected that we will witness major changes in the near future related to technological advancements. It will be expected of everyone to know one major coding language and for getting along with a tech-driven world, it is imperative to incorporate the mathematical software in mainstream academic curriculum from an early age to be future-ready. GeoGebra is one such dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one easy-to-use package.

I am pleased to know that Dept. of Mathematic, R.K.College, Madhubani is organizing One Week Faculty Development Program on Mathematics Software “GeoGebra” through remote learning in association with Spoken-Tutorial, IIT, Bombay.

I would like to congratulate Dr. Anil Kumar Mandal, Principal and Dr. D.K. Yadav, Assistant Professor, Mathematics for organizing this development programe and will like to wish them for success of the program.

Dr.N.K.Agrawal Professor and Head

L. N. MITHILA UNIVERSITY Kameshwaranagar, Darbhanga-846004 (Bihar)

Ref. No. ………………………….. Dated: ……………..

Message

Classical learning of mathematics through Chalkboard, Model, Graph, etc. is now moving rapidly towards the computer-aided software. Many software are now available for specific learning and solving mathematical problems. GeoGebra is a free open source mathematical software that is intended for teaching and learning mathematics and science from primary school to university level.

I am happy to know that the Department of Mathematics, R.K. College, Mahbubani is going to organize One Week Faculty Development Program on ‘Mathematical Software GeoGebra’ through Remote Training in collaboration with Spoken-Tutorial, IIT, Mumbai.

I congratulate Dr. D. K. Yadav, Coordinator-FDP cum Asst. Professor of Mathematics for organizing Faculty Development Program. My best wishes for the success of the Program.

(K K Sahu) University Co-Ordinator, Spoken-Tutorial Cum Development Officer L. N. Mithila University Darbhanga About the Spoken Tutorial project The Spoken Tutorial Project Self explanatory - uses simple language is funded by the Audio-video - uses mul�sensory approach Na�onal Mission on Educa�on Small dura�on - has be�er reten�on through Informa�on and Learner-centered - learn at your own pace Communica�on Technology, Spoken Tutorial Learning by doing - learn and prac�ce Ministry of Human Resource Development, Simultaneous empowerment - learn a new https://spoken-tutorial.org Government of India. FLOSS

Target Audience Students Teachers and teacher educators Researchers to explore various branches Contact US: of mathema�cs. Email: [email protected] Website: h�ps://spoken-tutorial.org Workshop The Spoken Tutorial Project Team conducts workshops on GeoGebra and other FLOSS using spoken tutorials and gives cer�ficates GeoGebra to those who pass an online test.

For more details, please write to [email protected]

Na�onal Mission on Educa�on through Spoken Tutorial by IIT Bombay is licensed Informa�on and Communica�on Technology under a Crea�ve Commons (NMEICT) A�ribu�onShareAlike 4.0 Interna�onal www.sakshat.ac.in License Funded by MHRD, Government of India. All trademarks within this document belong to their legi�mate owners. Introduc�on Features Benefits GeoGebra is a dynamic and interac�ve In GeoGebra, Geometry, Algebra and It allows interac�ve explora�ons by Mathema�cs for Everyone. Spreadsheet are connected and fully dragging objects and changing dynamic parameters. It brings together Geometry, Algebra, It has easy to use interface with Interac�ve explora�ons can be done Calculus, spreadsheets, graphing, powerful features using the tools in 2D and 3D Graphics sta�s�cs and probability applica�ons in Construc�ons can be made with points, modes a single package. vectors, segments, lines, polygons. Authoring tool to create interac�ve Figures can be drawn using conic learning resources like web pages GeoGebra is available for Windows, Mac sec�ons, inequali�es, implicit The GeoGebra so�ware is wri�en in the OS and Linux. polynomials and func�ons. Java programming environment. GeoGebra has tablet apps for Android, Figures and construc�ons can be It is available in all the opera�ng systems. iPad and Windows. changed dynamically. Open source so�ware, freely available Its web app is based on HTML5 Equa�ons and coordinates can be from www.geogebra.org technology. entered and modified directly on the GeoGebra is a tool for teachers to create h�p://www.geogebra.org screen or through Input bar. interac�ve worksheets and learning It has the ability to use variables for materials. Download and Installa�on numbers, vectors and points. It is freely available for download at Finds deriva�ves and integrals of Uses h�p://www.geogebra.org. func�ons using the input bar GeoGebra is simple and flexible in all its GeoGebra has the ability to use features. variables for numbers, vectors and It provides free learning materials. points, find deriva�ves and integrals of Tools in GeoGebra are helpful in various func�ons and has a full complement of construc�ons and calcula�ons commands like Root or Extremum. Teachers and students can use GeoGebra It has a CAS view and 3D Graphics view to make conjectures and to understand how to prove geometric theorems. GeoGebra is a very useful tool to learn and teach different branches of mathema�cs. --: List of Participants :--

Remote Training on Mathematics Software Geogebra One Week Faculty Development Program 6th – 12th May, 2020 Ram Krishna College, Madhubani Department of Mathematics In Association With Remote Learning Through Spoken-Tuorial Indian Institute of Technology, Bombay

S. No. Participants Detail DOM-RKC-FDP–000 1 Dr. Abhimanyu Kumar, Assistant Professor of DOM-RKC-FDP-101 Mathematics, Lalit Narayan Mithila University, Darbhanga 2 Mr. Kaushal Sen, TGT Mathematics, Presentation DOM-RKC-FDP-102 Convent Sr Sec School, Delhi 3 Mr. Rahul Kumar, Assistant Professor of Zoology, DOM-RKC-FDP-103 Sheodeni Sao College, Kaler, Arwal, Bihar 4 Mrs. Sangeeta Shitalprasad Bharamgude, Associate DOM-RKC-FDP-104 Professor of Mathematics, Miraj Mahavidyalaya, Miraj, Maharashatra 5 Dr. Vinod Vijaykumar Kharat, Assistant Professor, DOM-RKC-FDP-105 N B Navale Sinhgad College of Engineering, Kegaon, Solapur 6 Dr. Sanjay Kumar, Associate Professor of Geography, DOM-RKC-FDP-106 Maharaja College, Ara, Bihar 7 Mr. Gajanan Dhumal, Assistant Professor of DOM-RKC-FDP-107 Mathematics, B.K. Birla College, Kalyan, Maharashtra 8 Dr. A. Christopher, Assistant Professor of DOM-RKC-FDP-108 Mathematics, Loyola College, Chennai, Tamilnadu

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9 Mr. Akash Pradip Mandal, Research Scholar DOM-RKC-FDP-109 (Mathematics), Visva- Bharati University, Santiniketan, West Bengal 10 Mr. Kalpesh Anand Gaikwad, Assistant Professor of DOM-RKC-FDP-110 Mathematics, Elphinstone College, Mumbai, Maharashtra 11 Mr. Abhay Kumar, Assistant Professor of DOM-RKC-FDP-111 Mathematics, Sheodeni Sao College, Kaler, Arwal, Bihar 12 Mr. Saurabh Kumar, Assistant Professor of DOM-RKC-FDP-112 Mathematics, HMRITM, Hamidpur, Delhi 13 Dr.Jawaid Ahmad, Assistant professor of Education, DOM-RKC-FDP-113 R.K.College, Madhubani, Bihar 14 Satyendra Kumar Satya, Assistant Professor of DOM-RKC-FDP-114 Mathematics, L. N. Janta College, Jhanjharpur, Madhubani, Bihar 15 Manpreet kaur, DOM-RKC-FDP-115 Assistant Professor of mathematics Chandigarh group of colleges, Landran (Punjab) 16 Gauri Shankar, Assistant Professor of Mathematics, DOM-RKC-FDP-116 Shri Megh Singh Mahavidyalay, Abidgarh, Agra, Uttar Pradesh, Dr BR Ambedkar university, Agra U.P 17 Avinash Kumar, Assistant Professor of Mathematics, DOM-RKC-FDP-117 College, 18 Abhay Kumar Mishra, College Co-ordinator ST,IIT DOM-RKC-FDP-118 Bombay -cum Assistant Professor & H.O.D.of Computer Application, Maharaja College,Ara,Bihar 19 Mr. Sunil Kumar, Assistant Professor & Co-ordinator, DOM-RKC-FDP-119 Department of Computer Science, ST IIT - Bombay, G. B. College, Ramgarh, Kaimur (Bihar)

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20 Dr.Vandana, Assistant Professor of Mathematics, DOM-RKC-FDP-120 Shivaji College, Delhi University, Delh 21 Dr. Dharmendra Yadav, Assistant Professor of DOM-RKC-FDP-121 Mathematics, Vardhaman College Bijnor, MJPR University, Bareilly 22 Dr. J. Janet Sheeba, Assistant Professor Of DOM-RKC-FDP-122 Mathematics, Loyola College, Chennai, Tamilnadu 23 Kapil Kumar, Assistant Professor of Mathematics, DOM-RKC-FDP-123 Atma Ram Sanatan Dharma College New Delhi, University of Delhi 24 Mr. Rahul Hanmant Waliv, Assistant professor of DOM-RKC-FDP-124 Statistics, Kisan Veer Mahavidyalaya, Wai, Tal-Wai, Dist. Satara, Maharashtra 25 Dr. Ram Naresh Singh B.S.Sisodiya, DOM-RKC-FDP-125 Assistant Professor of Mathematics, Sardar Patel Mahavidyalaya, Chandrapur, Maharashtra 26 Dr.Kaushila Nandan Srivastava, Assistant Registrar DOM-RKC-FDP-126 (Administration), Directorate of Distance Education, LNMU, Darbhanga 27 Manish Sharma, Assistant Professor of Mathematics, DOM-RKC-FDP-127 Shri Lal Bahadur Shastri Degree College, Gonda, Dr. RamManohar Lohia Awadh University, Ayodhya, Gonda, U.P. 28 Mr. Raghvendra Narayan Vikash, DOM-RKC-FDP-128 Asst. Prof., Deptt. Of Computer Application (BCA), M.M.Mahila College, Ara, Bihar, V.K.S.U., Ara, Bihar. 29 Dr. M. Gayathri, Assistant Professor of Mathematics, DOM-RKC-FDP-129 Government First Grade College, Varthur, Bangalore, Karnataka

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30 Dr. Abhay Singh, Assistant Professor of Mathematics, DOM-RKC-FDP-130 C. M. Science College, Darbhanga, Bihar 31 Dr. Ajeet Pal Singh Professor of Mathematics, RD DOM-RKC-FDP-131 engineering college Ghaziabad 32 Suvarna S Malghan DOM-RKC-FDP-132 Assistant Professor of Mathematics Government First Grade College, Shikaripura, Shimoga, Karnataka 33 Dr. M. Peter DOM-RKC-FDP-133 Assistant Professor Department of Mathematics St. Joseph college of Engineering, Chennai 34 Dr. Shivaji Ramchandra Tate, Assistant Professor of DOM-RKC-FDP-134 Mathematics, Kisan Veer Mahavidyalaya, Wai, Tal- Wai, Dist-Satara, Maharashtra. 35 Jitendra Singh, Assistant Professor of Mathematics, DOM-RKC-FDP-135 Shivaji College, University of Delhi, New Delhi, Delhi 36 Dr. S. G. Karpagavalli, Assistant Professor in DOM-RKC-FDP-136 Mathematics,Vels Institute of Science, Technology & Advanced Studies, Chennai 37 Ms. Deepti, Assistant Professor of Mathematics, DOM-RKC-FDP-137 Shivaji College, Rajouri Garden, Delhi University 38 Dr. S. Athisayanathan, Coordinator for Mathematics, DOM-RKC-FDP-138 Loyola College, Chennai, Tamil Nadu 39 Dr. Gitanjali, Assistant Professor of Applied DOM-RKC-FDP-139 Mathematics, MSIT , Janakpuri, New Delhi. 40 Mr. Abhyendra Prasad, Assistant Professor of DOM-RKC-FDP-140 Mathematics, SRAP College Barachakia, B R A Bihar University 41 Dr.R.VIJAYAKUMAR, Assistant Professor in DOM-RKC-FDP-141

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Mathematics, Periyar Government Arts College, Cuddalore, Tamil Nadu 42 Dr. S. Iruthaya Raj, Assistant Professor of DOM-RKC-FDP-142 Mathematics, Loyola College (Autonomous), Chennai- 600034, Tamil Nadu 43 Dr. Sushil kr Sinha. DOM-RKC-FDP-143 Assistant professor of Mathematics, Forbesganj College Forbesganj, Bihar 44 Manpreet kaur, Assistant Professor of Mathematics, DOM-RKC-FDP-144 Gargi College, University of Delhi, Delhi 45 Dr. Dinesh Kumar Majhi, Assistant Professor of DOM-RKC-FDP-145 Mathematics, , Patna university 46 Dr. Raj Kumar Gupta, Assistant professor of Physics, DOM-RKC-FDP-146 S. V. P College, Bhabhua (veer kunwar singh university, ara) 47 B.k.keerthiga Priyatharsini, Assistant professor of DOM-RKC-FDP-147 Mathematics, Anna University, University college of Engineering Ramanathapuram, Ramanathapuram 48 Dr. Ajay kumar sharma, Assistant professor, DOM-RKC-FDP-148 Department of mathematics, Mahatma Gandhi college of science, Gadchandur, Maharashtra, 49 Jaswinder Kaur, Assistant Professor of Mathematics, DOM-RKC-FDP-149 B.A.M. KHALSA College, Garhshankar, Punjab 50 Akshay Balasaheb Bhasme, Assistant Professor of DOM-RKC-FDP-150 Statistics, New Arts, Commence & Science College, Ahmednagar 51 Moon Moon Roy, Assistant Professor of Mathematics, DOM-RKC-FDP-151 Bineswar Brahma Engineering college, Kokrajhar, Assam, Assam Science and Technology University,

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52 Pradnya Pradip Utekar, Assistant Professor of DOM-RKC-FDP-152 Mathematics, B.K.Birla College of Arts, Commerce and Science, Kalyan, Mumbai university 53 Dr. Ajeet Kumar, Assistant Professor of Mathematics, DOM-RKC-FDP-153 V.S.S.D. PG College, Kanpur, Uttar Pradesh, C.S.J.M. University, Kanpur, U.P. 54 Ankur N Kansagara, Assistant professor, Department DOM-RKC-FDP-154 of Mathematics, D K V Art's and Science College, Jamnagar. Gujarat 55 Mr. Keshavsing Lakhansing Paradeshi, Assistant DOM-RKC-FDP-155 professor, Department of Mathematics,G. T. College Nadurbar, Maharashtra 56 Mrs. Merina Aruja, Assistant Professor of DOM-RKC-FDP-156 Mathematics, Saintgits College of Engineering, Kottayam, Kerala 57 Mr. Harish Rautela, HOD, Department of Chemistry, DOM-RKC-FDP-157 Birla Vidya Niketan, Delhi 58 Shabna M S, Assistant Professor, Department of DOM-RKC-FDP-158 Mathematics. MES Mampad College, Malappuram, Kerala 59 Akul Rana, Assitant Professor of Mathematics, DOM-RKC-FDP-159 Narajole Raj College, West Benga 60 Dr. Sanjay Singh, Assistant Professor of Physics, DOM-RKC-FDP-160 Chintamani College of Arts & Science, Gondpipri, Gondwana University, Gadchiroli, Maharashtra 61 Dr. Nidhi Agarwal, Assistant Professor of DOM-RKC-FDP-161 Mathematics, R B S College, Agra, Uttar Pradesh, Dr Bhimrao Ambedkar University, Agra, U.P. 62 Ajay Nandan, Assistant Professor of DOM-RKC-FDP-162 Mathematics, IIMT College of Engineering, Greater

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Noida, AKTU Lucknow, Uttar Pradesh 63 Dr. Shafique Ahmad, Assistant Professor of DOM-RKC-FDP-163 Mathematics, B.D.A College, Pichri, Bermo, Binod Bihari Mahto Koyalanchal University, Dhanbad 64 Dr. J. Geno Kadwin, Assistant Professor of DOM-RKC-FDP-164 Mathematics, Loyola College (Autonomous), Chennai- 600034, Tamil Nadu 65 Dr Ravindra Kumar, Assistant Professor of DOM-RKC-FDP-165 Mathematics, Moti Lal Nehru College, Delhi University 66 Yogita Singh Kardam, Assistant Professor of DOM-RKC-FDP-166 Mathematics, HMR Institute of Technology and Management, Hamidpur, New Delhi 67 Maninder Kaur,TGT Mathematics, G.B.Nagar,Uttar DOM-RKC-FDP-167 Pradesh 68 Ajay Kumar, Assistant Professor of Mathematics, K R DOM-RKC-FDP-168 Mangalam University, Gurugram, 69 Dr. L. Akila, Assistant Professor of Mathematics, SRM DOM-RKC-FDP-169 Institute of Science and Technology, Chennai, Tamilnadu 70 Rajat Subhra Das, DOM-RKC-FDP-170 Assistant Professor of Mathematics, Dr.L.K.V.D.College, Tajpur, Samastipur, Bihar 71 Priyanka Rani, Assistant Professor of Applied DOM-RKC-FDP-171 Mathematics, HMRITM Hamidpur, Delhi, GGSIPU Delhi 72 Ruchika Nautiyal, PRT( Mathematics) The Manthan DOM-RKC-FDP-172 School, Greater Noida West 73 Dr. Shashi Bhushan Rai, Associate Professor of DOM-RKC-FDP-173 Mathematics, B.N.College Patna

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74 Dr. Vinod Kumar Singh, Assistant professor of DOM-RKC-FDP-174 Mathematics, Chintamani College of Science Pombhurna, Chandrapur Maharashtra India 75 Dr. Ajeet Kumar, Assistant Professor of Mathematics, DOM-RKC-FDP-175 V.S.S.D. PG College, Kanpur, Uttar Pradesh-208002 affiliated to C.S.J.M. University, Kanpur, U.P 76 Dr. Arjun Kumar, Assistant Professor of Mathematics, DOM-RKC-FDP-176 K.S. College , Seraikella, Kolhan University, Chaibasa 77 Dr. Prahalad kumar, Assistant Professor of DOM-RKC-FDP-177 Mathematics, Maulana Azad Collage of Engineering and Technology, Neora Patna, A.K.U , Patna 78 Dr Pramod Kumar Singh, Assistant Professor of DOM-RKC-FDP-178 Physics, Shri Sadguru Saibaba Science & Commerce College, Ashti, Gondwana University, Gadchiroli 79 Dr. Ramkrishna Kumar, Assistant Professor of Applied DOM-RKC-FDP-179 Mathematics, N.S.I.T, , A.K.U.Patna. 80 Dr. Abhishek Kumar Sharma, Assistant Professor of DOM-RKC-FDP-180 Mathematics, B. N. College, Patna, Bihar 81 Dr. Binay Kumar, Assistant Professor of Mathematics, DOM-RKC-FDP-181 Magadh Mahila College, Patna, Bihar 82 Sanjay Kumar Mahto, Assistant Professor of DOM-RKC-FDP-182 Mathematics, RNAR College, Samastipur 83 Dr. Amit Kumar Rana, Assistant Professor of DOM-RKC-FDP-183 Mathematics, Swami Vivekanand Subharti University, Meerut, UP 84 Dr. Avdhesh Kumar, Assistant Professor of DOM-RKC-FDP-184 Mathematics, Jaglal Chaudhary College, Chapra, Jai Prakash University, Chapra 85 Dr. Sarfaraz Alam, Assistant Professor of DOM-RKC-FDP-185 Mathematics, Maulana Azad College of Engineering &

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Technology, Neora, Patna 86 Mosami Patil, Assistant Professor of Mathematics, B. DOM-RKC-FDP-186 K. Birla College, Kalyan, University of Mumbai 87 Dr. Poonam Kumari, Associate Professor of DOM-RKC-FDP-187 Mathematics, Magadh Mahila College, Patna University 88 Dr. Arun Kumar Shukla, Assistant Professor of DOM-RKC-FDP-188 Mathematics, Major SD Singh PG College Mohammadabad, Farrukhabad, UP 89 Jitendra Kumar, Assistant Professor of Computer DOM-RKC-FDP-189 Science, J.S.University, Shikohabad 90 Abhinav Gupta, Assistant Professor of Computer DOM-RKC-FDP-190 Science, J.S.University, Shikohabad 91 Akash Virendra Bagde, Assistant Professor of Physics, DOM-RKC-FDP-191 Chintamani College of Science, Pombhurna, Chandrapur, Maharashtra 92 Dr. Shambhu Sharan DOM-RKC-FDP-192 Assistant Professor, Department of Mathematics, College of Commerce, Arts & Science, Patna 93 Dr. Deepak Majhi, Assistant Professor of Mathematics, DOM-RKC-FDP-193 PG Department of Mathematics, Veer Kunwar Singh University Ara, Bihar 94 Dr. Partha Pratim Das, Assistant Professor of DOM-RKC-FDP-194 Chemistry, Magadh University, Bodh-Gaya 95 Nitesh Kumar, Assistant Professor of Mathematics, DOM-RKC-FDP-195 Shivaji College, University of Delhi 96 Dr. M.Mullai, Assistant Professor in Mathematics, DOM-RKC-FDP-196 DDE, Alagappa University 97 Mukesh Kumar, Assistant Professor of Mathematics, DOM-RKC-FDP-197

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Shivaji College, Du 98 Mr. Vipul Snehi, Assistant Professor of Mathematics, DOM-RKC-FDP-198 University Deptt., LNMU, Darbhanga 99 Pooja Mittal, Assistant professor of Applied DOM-RKC-FDP-199 Mathematics, HMRITM College, Hamidpur, Delhi 100 Ravindra Kumar, Assistant Professor of Mathematics, DOM-RKC-FDP-200 R S S Mahila College, Sitamarhi 101 Rakesh Kumar Singh, Assistant Professor, BCA DOM-RKC-FDP-201 Nodal officer (STP IIT Bombay), SSV College, Kahalgaon 102 Prof Vinai K Singh, Inderprastha Engineering College DOM-RKC-FDP-202 Ghaziabad 103 Dr Ram Singh, Assistant Professor of Applied DOM-RKC-FDP-203 Mathematics, BGSB University Rajouri 104 Mr. Awadh Bihari Yadav, Assistant Professor of DOM-RKC-FDP-204 Mathematics, D. B College Jainagar, Madhubani 105 Mr. Abhishek Shekhar, Assistant Professor of DOM-RKC-FDP-205 Mathematics, KVSC College Uchchaith, Madhubani 106 Dr. R. Jeyabalan, Assistant Professor of Mathematics, DOM-RKC-FDP-206 Alagappa University, Tamilnadu 107 Dr. S Ruth Julie Kavitha, Assistant Professor of DOM-RKC-FDP-207 Mathematics, Loyola College, Chennai, Madras 108 Dr. Pradeep K Joshi, Associate Professor & Head, DOM-RKC-FDP-208 Department of Mathematics, IPS Academy, Indore 109 Mr. Satish Kumar, Assistant Professor of Mathematics, DOM-RKC-FDP-209 Shivaji College, Rajouri Garden, Delhi 110 DOM-RKC-FDP-210

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