UNDERGRADUATE TRAINING PROGRAMME IN LINEAR ALGEBRA AND ANALYSIS-2012
28, May – 6, June 2012 (UTPLAA-2012)
Organized by
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004
Funded by
Department of Science & Technology, Government of India, New Delhi
Objective: This program has been envisaged to provide quality training in the topics such as Linear Algebra, Discrete Mathematics, Tensor Analysis, Real Analysis and MATHEMATICA at the undergraduate level, especially to the students belonging to the regions of Jharkhand, Bihar and West Bengal. This program is different from the usual class room teaching as it is intended to provide an out of the box overview of the topics covered under the above mentioned topics. The lectures will also be supplemented by lecture materials, discussions, problem solving sessions and Labs.
Eligibility: Students who are enrolled in B.Sc./BA with Mathematics as one of the major subjects are eligible to apply for participation.
Boarding & Lodging: Boarding and lodging will be provided by the organizers. Accommodation will be provided to all the outstation participants in the student hostel of institute.
Travel Support: Travel support to the participants will be provided for travel by Sleeper class train, bus (to and fro) from Dhanbad to parent institution by shortest route, as per rules. The participants are advised to keep the original tickets for availing travel support.
Registration: There are no registration fees for attending the training programme. Interested students may register by filling up the registration form (available in your department) and sending it through email or by post latest by April 15, 2012 to the any of the following addresses:
The registration form can also be downloaded from ISM website: www.ismdhanbad.ac.in
Dr. S.P. Tiwari (Coordinator)
Department of Applied Mathematics
Indian School of Mines, Dhanbad – 826 004
Email: sptiwarimaths@gmail.com
Phone No.: (0326)2235480, 9431711226
Dr. M. K. Singh (Co-coordinator)
Department of Applied Mathematics
Indian School of Mines, Dhanbad – 826 004
Email: drmks29@rediffmail.com
Phone No.: (0326)2235488, 9431125817
FAX No.: (0326)2235765
Speakers
Prof. A.K. Srivastava, BHU Varanasi
Prof. A.K. Lal, IIT Kanpur
Prof. R.K. Srivastava Agra University, Agra
Dr. B. Tiwari, BHU, Varanasi
Dr. A. Prasad, ISM, Dhanbad
Dr. A. K. Singh, ISM, Dhanbad
Dr. B.S. Kushvah, ISM, Dhanbad
Dr. S.P. Tiwari, ISM, Dhanbad
Tentative Areas to be covered are:
Linear Algebra: Vector spaces, Dimension, Linear Transformations, Rank and Nullity, Eigen values and eigen vectors, Elementary canonical forms and diagonalization, The rational and Jordan forms, Inner product spaces, Quadratic forms in two and three dimensions, Using matrices and linear equations to introduce wavelets.
Discrete Mathematics: Counting and permutations Advanced counting, Polya theory, Generating functions and its applications.
Tensor Analysis: Isometry of Euclidean plane and Euclidean n-space, Fundamental theorem of plane curves and space curves. Tensor algebra of a vector space, Tensor product, Contravariant, covariant and mixed tensors, Exterior algebra of a vector space.
Real Analysis: Limit and convergence, Power series and radius of convergence, Limits of real-valued functions, The mean value theorem, Point wise, absolute and uniform convergence, Real valued functions of several real variables, Introduction of topologies on Euclidean space of dimension two, Repeated and simultaneous limits, Continuity, Partial and total differentiability.
MATHEMATICA: Symbolic computations, Operations on polynomials, Rational functions, Trigonometric functions, Solutions of equations, Classical analysis with the help of Mathematica.
The registration form can also be downloaded from : www.ismdhanbad.ac.in
(Application form)
For details, visit : http://www.ismdhanbad.ac.in/noticeboard/course/am/am-spt.doc
28, May – 6, June 2012 (UTPLAA-2012)
Organized by
Department of Applied Mathematics, Indian School of Mines, Dhanbad-826004
Funded by
Department of Science & Technology, Government of India, New Delhi
Objective: This program has been envisaged to provide quality training in the topics such as Linear Algebra, Discrete Mathematics, Tensor Analysis, Real Analysis and MATHEMATICA at the undergraduate level, especially to the students belonging to the regions of Jharkhand, Bihar and West Bengal. This program is different from the usual class room teaching as it is intended to provide an out of the box overview of the topics covered under the above mentioned topics. The lectures will also be supplemented by lecture materials, discussions, problem solving sessions and Labs.
Eligibility: Students who are enrolled in B.Sc./BA with Mathematics as one of the major subjects are eligible to apply for participation.
Boarding & Lodging: Boarding and lodging will be provided by the organizers. Accommodation will be provided to all the outstation participants in the student hostel of institute.
Travel Support: Travel support to the participants will be provided for travel by Sleeper class train, bus (to and fro) from Dhanbad to parent institution by shortest route, as per rules. The participants are advised to keep the original tickets for availing travel support.
Registration: There are no registration fees for attending the training programme. Interested students may register by filling up the registration form (available in your department) and sending it through email or by post latest by April 15, 2012 to the any of the following addresses:
The registration form can also be downloaded from ISM website: www.ismdhanbad.ac.in
Dr. S.P. Tiwari (Coordinator)
Department of Applied Mathematics
Indian School of Mines, Dhanbad – 826 004
Email: sptiwarimaths@gmail.com
Phone No.: (0326)2235480, 9431711226
Dr. M. K. Singh (Co-coordinator)
Department of Applied Mathematics
Indian School of Mines, Dhanbad – 826 004
Email: drmks29@rediffmail.com
Phone No.: (0326)2235488, 9431125817
FAX No.: (0326)2235765
Speakers
Prof. A.K. Srivastava, BHU Varanasi
Prof. A.K. Lal, IIT Kanpur
Prof. R.K. Srivastava Agra University, Agra
Dr. B. Tiwari, BHU, Varanasi
Dr. A. Prasad, ISM, Dhanbad
Dr. A. K. Singh, ISM, Dhanbad
Dr. B.S. Kushvah, ISM, Dhanbad
Dr. S.P. Tiwari, ISM, Dhanbad
Tentative Areas to be covered are:
Linear Algebra: Vector spaces, Dimension, Linear Transformations, Rank and Nullity, Eigen values and eigen vectors, Elementary canonical forms and diagonalization, The rational and Jordan forms, Inner product spaces, Quadratic forms in two and three dimensions, Using matrices and linear equations to introduce wavelets.
Discrete Mathematics: Counting and permutations Advanced counting, Polya theory, Generating functions and its applications.
Tensor Analysis: Isometry of Euclidean plane and Euclidean n-space, Fundamental theorem of plane curves and space curves. Tensor algebra of a vector space, Tensor product, Contravariant, covariant and mixed tensors, Exterior algebra of a vector space.
Real Analysis: Limit and convergence, Power series and radius of convergence, Limits of real-valued functions, The mean value theorem, Point wise, absolute and uniform convergence, Real valued functions of several real variables, Introduction of topologies on Euclidean space of dimension two, Repeated and simultaneous limits, Continuity, Partial and total differentiability.
MATHEMATICA: Symbolic computations, Operations on polynomials, Rational functions, Trigonometric functions, Solutions of equations, Classical analysis with the help of Mathematica.
The registration form can also be downloaded from : www.ismdhanbad.ac.in
(Application form)
For details, visit : http://www.ismdhanbad.ac.in/noticeboard/course/am/am-spt.doc
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