03-01-2015, 11:58 AM

AFFILIATED INSTITUTIONS

ANNA UNIVERSITY :: CHENNAI 600 025

REGULATIONS - 2013

M.E. STRUCTURAL ENGINEERING

MA7154 Advanced Mathematical Methods

Scanned Lecture Notes (All Units)

Advanced Mathematical Methods Scanned Premium Lecture Notes from Reputed Institutions and Faculties, Contains All Units. Syllabus is Based on Anna University , Post Graduate M.E. Structural Engineering R2013 Regulations.

Content :

UNIT-1

Laplace transform

First shifting theorem

Change of scale property

Initial value theorem

Transform of Bessel function

Unit step function on Heaviside function

Inverse laplace transform

Complex inversion formulae or mellin fourier transform

Convolution theorem

Wave equation

One dimensional heat equation

Two dimensional heat equation

UNIT-2

Fourier transform

Parsavel identity

Differentiation of fourier sin and cosine

UNIT-3

Variational function

Geotesices

Functional dependent on higher order derivations

Functional dependent on function several independent variable

Variational problem with moving boundaried

Constrains in the form of function

Rayleigh –ritz method

UNIT-4

CONFORMAL MAPING

Transformation

1. Translation

2. Magnification

Magnification rotate and translate

Inversion and reflection

Schwartz-christoftel transformation

Application of conformal mapping

Dirichlets problem for the unit circle

UNIT-5

Tensor analysis

Kronecker delta

Contravarient tensor

Addition of 2 tensor

Contraction of tensor

Quotient law

Symmetric and skew symmetric tensor

Matric tensor

Associate tensor

Christofel symbol

Derivational of the fundamental tensor

Transformation of christofel symbol

Co-varient derivative of a co-varient vector

Curl of a co-varient vector

Co-varient derivation of a contravarient vector

Divergent of a contra-varient vector

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