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Dr. Shashi Bhushan Rai
Personal Details
| Name | Dr. Shashi Bhushan Rai |
| Designation | Associate Professor & Head of Department |
| Date Of Birth | 10/12/1963 |
| Date Of joining | 24/06/2003 |
| Miscellaneous | profsbrai@gmail.com |
Designation Details:
| 01 |
Assistant Professor |
Qualification And Specialization Details:
| 01 |
M. Sc.& Ph. D. |
Teaching Experience Details:
| 01 |
15 |
Research Guidance Details:
| Sholla Chandra | A Comparative Study of Numbers and Ultra Real Number System Year of Registration 2009 Year of Submission 21/01/2013 Year of award 23/11/2013 |
| Awadh Bihari Yadav (JRF) | Some Contribution to the theory of some Important Clasess of Operator & Operator Algebra Registration no. 477/2009, Feb 2015 |
Miscellaneous:
| 01 |
A few Result on Countinuity of a Family of Function Sponsored by C.S.I.R.(Council of Scientific & Industrial Research ), New Delhi Organisezed by PG Dept of Mathemetics, Patna University Date 23-25 March 2006. |
| 02 |
On The Concept of Probability & its Role in General Life Sponsored by U.G.C. Organisezed byDept of Mathematics Mahila College , Dalminanagar (Rohtas) Date 30.March, 2007 |
| 03 |
A Note on Some Convention in a Liner Space Sponsored by Purvanchal Academy of Science , Jaunpur (U.P ) Organisezed by Deppt.of Mathemetics T.D.Post Graduate College , Jaunpur V.B.S.Purvanchal University Jaunpur (U.P) 222002 Date 20-21 Feb , 2010 |
| 04 |
Role of science & Technology in Developing Society Sponsored by U.G.C. Organisezed by Dept of Physics Sri Arvind Mahila College, Patna Date 23-24 Sept ,2011 |
Administrative Experience:
| 01 |
NSS Program Officer 1st June 2012 to 2015 |
| 02 |
IGNOU Councilor 2006 |
Membership of Academic Bodies:
Indian Science Congress Association (ISC) Kolkata .(1998), Membership No. L-7497 |
Purvanchal Academy of Science (PAS) Year 2010 , Membership No.400 |
The Mathematical Society DD Upadhyay University Gorakhpur Year 2011 , Membership No. 099 |
The Mathematical Society , BHU Varanasi Year 2012 ,Membership No.14182 |
Research Project:
| 01 | The Math Mentor An International Refereed Research Journal of Mathemetical Sciences Vol-2, No.2, July-Dec.,2014. ISSN : 2349 -1116 |
| 02 | The Math Mentor An International Refereed Research Journal of Mathemetical Sciences Vol-3, No.2 , July-Dec.,2016. ISSN : 2349 -1116 |
Books:
A Text Book of Degree Level Trigonometry. Publisher New Concept Publication , Year of Publication 2015 |
A Text Book of Degree Level Vector Analysis Publisher New Concept Publication , Year of Publication 2016 |
A text Book of Degree Level Ordinory &Partial Differential Equation Publisher Novelty & Co,Patna, Year of Publication 2013. |
A Text Book of Degree Level Mechanics. Publisher New Concept Publication , Year of Publication 2017 |
A Text Book of Degree Level Coordinate Geometry. Publisher New Concept Publication , Year of Publication 2018 |
A Text Book of Degree Level Numerical Analysis. Publisher New Concept Publication , Year of Publication 2018 (proposed) |
Popular Articles:
| 01 | Concept of Application of fractional |
Teaching Meterials:
| Attraction and Potential |  | |
| Finite Difference | | |
| Numerical Differentiation | | |
| Numerical Integration | | |
| Interpolation for equal and unequal interval | | |
| Solution of Algebraic and Transcendental Equations | | |
| Higher Trigonometry Model Question | | |
| Theory of Equation- Model Question | | |
| Differential Calculus - Model Questions | | |
| Vector Analysis | | |
| 2D | | |
| Notes - Differential Equations | | |
| Topic- Conic Section | | |
| Syllabus - B.Sc./ B.A. - Mathematics Honours | | |
| Limit of a complex valued functions | | |
| Analytic function and C-R equation | | |
| Construction of analytic function | | |
| Beta and Gamma function | | |
| Complex Analysis | | |
| Cauchy-Riemann (C-R) equation in Cartesian form | | |
| Sphere | | |
| Order and Degree of Differential Equation & Formation of DE | | |
| Variable Separable Differential Equation(1st order & 1st Degree DE) | | |
| Reducible into Variable separable ( Differential equation of 1st order and 1st Degree) | | |
| ASYMPTOTES - Definition , and Working Rules | | |
| ASYMPTOTES- Method -I - Worked out problems (part- I) | | |
| Indeterminate form Method based on expansion of Function- by SBRAI | | |
| (2) Indeterminate form, Hospital Rule | | |
| (10) Relation between roots and coefficient by VK | | |
| (11) Fundamental theorem of Algebra by VK | | |
| Curvature - Definition and Formula of Radius of Curvature in different coordinate | | |
| Curvature -Formula for Pedal Equation , Polar Equation, Polar Tangential Equation | | |
| Reduction formula by KV | | |
| Division Algorithm theorem By KV | | |
| E-(1) (i) Calculus of Finite Differences | | |
| Algebra of Difference Operators, Relation between Operators, Fundamental Theorem of the Difference o | |
Download tutorials:
| Dr. Shashi Bhushan Rai | mathematics | A Text Book of Degree level Elementary Ordinary and Partial Differential Equations | |
| Dr. Shashi Bhushan Rai | mathematics | A Text Book of Degree level Elementary Ordinary and Partial Differential Equations | |