10-04-2017, 08:05 PM
LATERAL ENTRY SYLLABUS
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MATHEMATICS
Unit 1: Ordinary Differential Equation
Differential equation of first order. Linear
differential equation of second order
(homogeneous and nonhomogeneous case).
Cauchy, Euler s equation, Application of first
order differential equations (mixture
problem, Newton s law of cooling,
orthogonal trajectory). Application to LCR
circuits, Application to free and forced
vibration of Mass spring system.
Unit 2: Series Method
Properties of power series, Radius of
convergence of power series, Legender s
equation and Legender s polynomial, properties
of Legender s polynomial, Gamma function,
ordinary and singular point Frobenious
method, Bessel s equation and properties of
Bessel s function.
Unit 3: Laplace Transform
Laplace transforms of standard function,
periodic functions, Unit step function,
Transforms of derivatives and integrals.
Differentiation and integration of
transforms, Linearity property, Inverse
Laplace transform, Shifting theorems,
Convolution. Application to solve
differential and integral equations ( initial
value problem).
Unit 4: Fourier Series
Periodic function, Fourier series, Euler s
formula, Even and odd functions, Fourier
series expansions of even and odd function,
half range expansion of functions,
Expansion of functions with finite
discontinuities.