SWAMI VIVEKANAND UNIVERSITY, SIRONJA, SAGAR (M.P.) SYLLABUS For MASTERS IN TECHNOLOGY (CONSTRUCTION TECHNOLOGY & MANAGEMENT) Course Code: MTCTM Department of Civil Engineering Faculty of Engineering Duration of Course: 2Year Examination Mode: Semester Examination System: Grading Swami Vivekanand University, Sironja, Sagar (M.P.) 2016-2017
UNIT- 1 MARKS 14
Numerical solution of Partial Differential Equation (PDE): Numerical solution of PDE of hyperbolic, parabolic
and elliptic types by finite difference method.
UNIT- 2 MARKS 14
Integral transforms: general definition, introduction to Mellin, Hankel and Fourier transforms and fast Fourier
transforms, application of transforms to boundary value problems in engineering.
UNIT- 3 MARKS 14
Integral equations: Conversion of Linear Differential equation (LDE) to an integral equation (IE), conversion of
boundary value problems to integral equations using Green's function, solution of Integral equation, IE of
convolution type, Abel's IE, Integro differential equations, IE with separable variable, solution of FredholmEquation with separable kernels, solution of Fredholm and Volterra equations by the method of successive
approximations.
UNIT- 4 MARKS 14
Calculus of Variation: Functionals and their Variational, Euler's equation for the function of one and two independent
variables, application to engineering problems.
UNIT--5 MARKS 14
FEM: Variational functionals, Euler Lagrange's equation, Variational forms, Ritz methods, Galerkin's method, discretization, finite element method for one-dimensional problems.
TEXT BOOKS:
1. Higher Engineering Mathematics by B.V. Ramana, Tata Mc Hill.
2. Advance Engineering Mathematics by Ervin Kreszig, Wiley Easten Edd.
3. Applied Numerical Methods with MATLAB by Steven C Chapra, TMH
Reference Books:
1. CF Froberg, Introduction to numerical analysis.
2. SS Sastry, Introductory methods of numerical analysis
3. Krasnove, Kiselevanded Makarenho, Integral equations
4. Buchanan, Finite element Analysis (schaum Outline S), TMH
5. Krishnamurthy, Finite element analysis, TMH
6. Numerical Methods in engineering, Salvadori and Baron
7. Theory and problems of Numeric analysis (Schaum Outline S), Schied, TMH
