Balurghat College Mathematics Camp (21st October to 10th November, 2018) Balurghat College, Balurghat Dakshin Dinajpur, West Bengal, India About the Department of Mathematics Contact Information Advisory Committee Registration Details The Department of Mathematics started functioning in 1956 with a few sincere All correspondence relating to the Camp may be communicated to the email: • Sri. Ajay Kumar Saha, President, Governing body, Balurghat College and enthusiastic teachers. Today it consists of three energetic teachers who The registration will be start on 06.09.2018 and it will be ended on [email protected] or over Mobile No.: 09775550173 (Dr. Laxman • Dr. Pankaj Kundu, Principal, Balurghat College have been doing their level best to serve the students and also they are engaged 26.09.2018. Registration fees is to be paid by electronic fund transfer in Saha, Coordinator of BCMC). • Prof. Kalishankar Tiwary, Professor, Raiganj University. in active research work. Teachers are also supervising research students to ob- favour of “Balurghat College Mathematics Camp", payable at In- • Dr. Avishek Adhikari, Associate Professor (Coordinator of NBHM in West tain their PhD degrees. Teachers are involved in various Research Projects for dian Overseas Bank, Balurghat Branch, Dakshin Dinajpur, West Bengal Zone), Calcutta University. carrying out research work. Course Details Bengal, Account Name: Balurghat College General Fund, Account No: 324501000000551, IFSC Code: IOBA0003245, MICR Code: Objective and Theme of the Camp Real Analysis: Interior points, limit points, open sets, closed sets, bounded Course Coordinator 733020102. sets, connected sets, compact sets, completeness of R. Sequences and Series of Registration Fees Structure The focus of this program is on problem solving, exploration of mathematical Real Numbers, Limit, continuity, uniform continuity, lim-sup, lim-inf, pointwise Dr. Laxman Saha, Assistant Professor, Department of Mathematics, Balurghat Entry fees* Rs. 1500 knowledge, and improvement of analytical skills. The program aims to help and uniform convergence, intermediate value property, differentiation, Rolle’s College. Refreshments (tea, coffee)*: Rs. 300 students to improve their performance in various competitive examinations (like Theorem, mean value theorem, L’Hospital rule, Taylor’s theorem, maxima and Study Materials and Kits*: Rs. 700 IIT-JAM, TIFR, NBHM), as well as their general mathematical skills if com- minima. Power series (of real variable), Taylor,s series, radius and interval of Lunch Rs. 1600 petitive examinations are not their main goal. Balurghat College Math Camp convergence,term-wise differentiation and integration of power series. Metric List of Speakers Lodging: Rs. 2000 (BCMC) is a great opportunity to spaces, Heine Borel theorem, Cauchy sequences, completeness, Weierstrass ap- * indicates that the heads are mandatory and others are optional. Registra- (a) Enhance Skills and Knowledge: BCM camp will provide an enrich- proximation. 1 Prof. Sujit Kumar Sardar, Professor, Department of Mathematics, Jadavpur tion form are available in the college Website: www.balurghatcollege.ac.in. ment experience for students who have shown an interest in and an aptitude for Functions of Two or Three Real Variables: Limit, continuity, partial University. Duly filled-in registration form along with registration fees may be mathematics. Advanced math concepts will be presented in a manner that is derivatives, chain rule, directional derivatives, total derivative, Jacobian, gra- 2 Prof. Kalishankar Tiwary, Professor, Department of Mathematics, Raiganj send to [email protected] or it can be send by speed post to challenging yet still accessible. Students are also coached on how to approach dient,maxima and minima. University. the following address: Dr. Laxman Saha, Assistant Professor, Department problems and have the opportunity to develop their group problem solving skills. Integral and Vector Calculus: Integration as the inverse process of differen- 3 Dr. Avishek Adhikari, Assistant Professor (Former Eastern Zonal Coordinator of Mathematics, Balurghat College, Balurghat, Dakshin Dinajpur, Pin-733101, (b) Gain a new perspective: BCM camp allows students to experience math tiation, definite integrals and their properties, fundamental theorem of calculus. of NBHM), Department of Pure Mathematics, University of Calcutta. West Bengal. as never before through games, projects, experiments, and other fun activities. Double and triple integrals, change of order of integration, calculating surface 4 Dr. Partha Pratim Gopmandal, Assistant Professor, Department of Note: A part of amount or whole amount of registration fees may The camp will also highlight the role math plays in everyday life. areas and volumes using double integrals, calculating volumes using triple inte- Mathematics, NIT Patna. be reimbursed if any fund is received by the college from external (c) Make new friends: BCM camp is a great way to connect students with grals.Scalar and vector fields, gradient, divergence, curl, line integrals, surface 5 Dr. Buddhananda Banerjee, Visiting faculty, Department of Mathematics, agencies. similar interests. integrals, Green, Stokes and Gauss theorems. IIT Kharagpur. Differential Equations: Ordinary differential equations of the first order of the 6 Dr. Nikhil Pal, Assistant Professor, Department of Mathematics, Visva ′ Eligibility form y = f(x,y), Bernoulli,s equation, exact differential equations, integrat- Bharati University. Payment ing factor, orthogonal trajectories, homogeneous differential equations, variable 7 Dr. Towhid E Aman, Associate Professor, Department of Mathematics, Students who have completed 1st year B.Sc. Honours course in Mathematics separable equations, linear differential equations of second order with constant Gangarampur College. The registration fees must be paid by bank transfer. Cheques/drafts are not are eligible to join the camp. However, the students having a prior knowledge coefficients, method of variation of parameters, Cauchy-Euler equation. 8 Prof. Ripan Saha, Assistant Professor, Department of Mathematics, Raiganj accepted. After transferring the registration fees you are requested to send on Abstract Algebra, Linear Algebra and Real Analysis are also welcome to join Abstract Algebra: Groups, subgroups, Abelian groups, non-Abelian groups, University. a mail to [email protected] mentioning the students name, and bank the camp. This camp will also helpful for students who are interested to ap- cyclic groups, permutation groups, normal subgroups, Lagrange’s Theorem for 9 Prof. Prasnata Dhair, Associate Professor, Department of Mathematics, transfer details. pear CSIR-UGC NET in Mathematics or TIFR/NBHM for their PhD course in finite groups, group homomorphisms and basic concepts of quotient groups. Sy- Balurghat College. Mathematics. low Theorems, symmetric group Sn, conjugacy class, rings, ideals, quotient by 10 Dr. Laxman Saha, Assistant Professor, Department of Mathematics, ideals, maximal and prime ideals, fields, algebraic extensions, finite fields. Balurghat College. Linear Algebra: Finite dimensional vector spaces, linear independence of How to Reach Balurghat Venue and Course duration 11 Sri Hare Krishna Mandal, Assistant Professor, Department of Mathematics, vectors, basis, dimension, linear transformations, matrix representation, range Balurghat College. The Camp has been schedule to be held from 21st October to 10th Novem- space, null space, rank-nullity theorem. Rank and inverse of a matrix, deter- • From Sealdah rail station [Gour Express (13153)] 12 Sri Alamgir Rahaman Basunia, Research Scholar, Department of ber, 2018 at Balurghat College, Dakshin Dinajpur, West Bengal-733101. There minant, solutions of systems of linear equations, consistency conditions, eigen- Mathematics, Balurghat College. • From Kolkata Station [Kolkata Balurghat Tebhaga Exp. (13161)] will be minimum Six hours classes per day. values and eigenvectors for matrices, Cayley-Hamilton theorem. Ranks of linear • From Siliguri Junction [Balurghat Intercity Express (15764X)] transformations, characteristic and minimal polynomials. Upper triangulation, • From Malda Important Dates diagonalization, nilpotent matrices, scalar (dot) products, angle, rotations, or- Accommodation (a) By train : thogonal matrices, GLn, SLn, On, SO2, SO3. (i) Malda- Balurghat Passenger Train, Gour Express Registration Start on: 06.09.2018 Complex Analysis:Holomorphic functions, Cauchy-Riemann equations, inte- Balurghat College may provide accommodation to a limited number of partici- (ii) Kolkata- Balurghat Intercity Exp. Last date of Registration: 26.09.2018 gration, zeroes of analytic functions, Cauchy formulas, maximum modulus theo- pants on a first come first serve basis. Depending upon availability of rooms at (b) By Bus : There are so many buses plying between Malda and Balurghat every 15 minutes Last date of receiving application form : 26.09.2018 rem, open mapping theorem, Louville’s theorem, poles and singularities, residues nearby Hotels. Accommodation will be provided on single/twin sharing basis. • From Sealdah/Kolkata/Howrah to Malda by any train or bus and then from Programme: 21.10.2018 to 10.11.2018 (21 days) and contour integration, conformal maps, Rouche’s theorem, Morera’s theorem. Malda to Balurghat by bus or directly by bus from Esplanade, kolkata. Mathematics Camp, 21st October – 10th November, 2018, Balurghat College, Dinajpur (South).