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Gondwana University Notes |
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Re: Gondwana University Notes
The syllabus of 2nd Year - III Semester and IV Semester - of B. E. (Civil Engineering) Program offered by Gondwana University is as follows: III Semester B. E. (Civil Engineering) Course Code: MAT301 Title of the Course: Engineering Mathematics - III Unit I Fourier series: Periodic function and their Fourier expansion, even and odd functions, change of interval, half range expansion. Unit II Partial Differential Equation: Partial Differential Equation of first order degree i.e. Lagranges form, Linear homogeneous p. d. e of nth order with constant coefficient method of separation of variables. Unit III Matrices: Inverse of matrix by adjoin method, inverse of matrix by partitions method , Characteristics equations , Eigen values and Eigen vectors Reduction to diagonal form, Cayley- Hamilton Theorem ( without proof) statement & verification , Sylvestors theorem Unit IV Numerical Methods: solutions of algebraic and transcendental equations. Iteration method, False position method, Newton Rapphson method ,Solution of System of linear equation, Gauss elimination method, Gauss Jordan method, Gauss Seidel method, Crouts method & relaxation method.. Unit V Numerical solution of ordinary differential equation by Taylors series method, Picard's method, Runge Kutta method, Euler modified method, Milenes Predictor method .Higher order differential equation by Taylors series method and runge Kutta fourth order method. Reference Books: 1) Engineering Mathematics by Dr.D.T.Deshmukh, Khanna publisher 2) Higher Engineering Mathematics by B.S.Grewal, Khanna Publisher 3) A textbook of Engineering Mathematics by N.P.Bali and Dr.N.Ch.Narayana Iyenger, Laxmi Publications Ltd. 4) Advanced Engineering Mathematics by H.K.Dass.,S.Chand Publication ,2008 Syllabus 2nd Year B. E. (Civil Engineering) Program Gondwana University |
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