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e-learning in Mathematics at Undergraduate and Postgraduate Level Bhaskaracharya Pratishthana (Institute of Mathematics) Pune

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Principal Investigators Prof. N. S. Gopala Krishnan Director, Bhaskaracharya Pratishthana * Prof. S. A. Katre Professor, Dept. of Math., Univ. of Pune & Dep. Director, Bhaskaracharya Pratishthana

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Objective To create video courses in Mathematics both at Undergraduate and postgraduate level at colleges. * Live streaming of these courses will be done at four centers in Pune, with interactive sessions Main center will be at Bhaskaracharya Pratishthana and other centers will be at Abeda Inamdar College (PG & UG), S. P. College (PG&UG), Pune University (PG), Fergusson College (UG), maintaining 1+3 Pattern *Propose to extend it to 1+20 pattern in later stage covering colleges outside Pune in P.U. at Nasik, Ahmednagar and Baramati etc. and then cover other Universities in Maharashtra such as Mumbai, Kolhapur, Aurangabad & North Maharashtra University.Then extend it to other state centres in Ahmedabad, Chennai, BNG, HBD, Delhi, etc.

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Justification UG level teaching in Mathematics is available in most of Science Colleges but very few have PG level teaching. Reasons are: Dearth of good faculty at UG level and qualified faculty at PG level. The available faculty has to be optimised. qualitatively & quantitatively by taking recourse to e- learning. The proposed project intends do this. * Viability of e-learning both at UG & PG level Mathematics will be established by the project.

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Time Schedule (2009 – 2012) 6 courses4 workshops 6 coursesThird Year 5 courses4 workshops 5 coursesSecond Year 4 courses2 workshop4 coursesFirst Year Sem II (Jan-Mar) Mid Sem Sem I (Aug–Oct.)

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List of UG Courses Real Analysis Complex Analysis Metric Spaces Differential Equations Operations Research Algebra Theory of Numbers Numerical Analysis Linear Algebra Analytical Geometry Calculus of Several Variables Computational Geometry Linear Programming Differential Geometry

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List of PG Courses 1 Real Analysis 2. Advanced Calculus 3. Analysis on Manifolds 4. Complex Analysis 5. Topology 6. Number Theory 7. Differential Geometry 8. Differential Equations 9. Field Theory 10. Algebraic Number Theory 11. Graph theory 12. Combinatorics 13. Linear Algebra 14. Group Theory 15. Rings and Modules 16. Fourier Analysis 17. Wavelet Analysis 18. Coding Theory 19. Functional Analysis 20. Operations Research 21. Analysis of Algorithms 22. Measure and Integration 23. Algebraic Topology 24. Commutative Algebra

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List Of Speakers K. D. Joshi S. S. Sane J. K. Verma S. A. Katre Kaushal Verma S. P. Inamdar M. J. Narlikar Padma Pingle V. M. Sholapurkar V. V. Acharya A. Mangasuli S. V. Kanetkar S. Arumugam Satya Deo Tripathi B. V. Limaye

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REQUIREMENTS Video conf. equipments Site preparation Generator/ Serve /UPS Hon. to speakers Hon. to sub expert Hon. To coordinator Workshops Salary to Tech.asst./editor Maint. of equipments Admin. Support Travel/Cont/Consum LaTeX writeup of lectures DVD’s Setup, Maintenance of website for video lect. Web space rent Bandwidth (Project)

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IMPACT Bhaskaracharya Pratishthana, Pune Abeda Inamdar College S. P. Coll, Fergusson Coll, Pune U Dept Ahmednagar, Nasik, Baramati and other UG colleges Mumbai Univ., Kolhapur Univ, Marathwada Univ., North Maha. Univ. Chennai, Ahmedabad, Bangalore, Hyderabad, Delhi, Chandigarh

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