Wednesday, September 8, 2010

laplace transform part 3:Multiplication property

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This includes multiplication property and their related questions.

laplace transform part 2

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It includes properties of Laplace transform
shifting theorem and their questions.

Notes of laplace transform part 1

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Monday, August 2, 2010

APPLIED MATHS-3 SYLLABUS

UNIT – I
Laplace Transformation: Laplace Transformation, Inverse Laplace transformation Convolution Theorem, application to linear differential equations with constant coefficients, Unit step function, impulse functions / periodic Functions.


UNIT – II
Fourier Series: Fourier Series, Euler’s formulae, even and odd functions, having arbitrary periods, half range expansion, Harmonic Analysis.
Fourier Transforms: Fourier transform, Sine and Cosine transforms, Application to differential equations.


UNIT – III
Special Functions: Beta and Gamma functions, Bessels functions of first kind, Recurrence relations, modified Bessel functions of first kind, Ber and Be functions, Legendre Polynomial, Rodrigue’s formula, orthogonal expansion of function.


UNIT – IV
Partial Differential Equation: Formation of first and second order linear equations, Laplace, Wave and heat conduction equation, initial and boundary value problems.