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MA5151 Question Bank Advanced Mathematical Methods Anna University

MA5151 Question Bank ADVANCED MATHEMATICAL METHODS

MA5151 Question Bank Advanced Mathematical Methods Anna University free download. Advanced Mathematical Methods QB MA5151 pdf free download.

Sample MA5151 Question Bank ADVANCED MATHEMATICAL METHODS:

A one-dimensional infinite solid,    x  ,is initially at temperature F(x). For times t>0, heat is generated within the solid at a rate of g(x ,t) units, Determines the temperature in the solid for t > 0

A uniform string of length L is stretched tightly between two fixed points at x=0 and x=L. If it is displaced a small distance  at a point x=b, 0<b<L, and released from rest at time t=0, find an expression for the displacement at subsequent times. MA5151 Question Bank Advanced Mathematical Methods

Using the method of integral transform, solve the following potential
problem in the semi-infinite Strip described by
Subject to BCs: u(x,0)=f(x) , u(x,a)=0, u(x,y)=0 ,

Using the finite Fourier transform, solve the BVP described by PDE:

Solve the heat conduction problem described

Compute the displacement u(x ,t) of an infinite string using the method of Fourier transform given that the string is initially at rest and that the initial displacement is f(x),    x  . MA5151 Question Bank Advanced Mathematical Methods

(ii) Find the Fourier transform of f(x) defined by
hence evaluate Find the fixed points of the transformation
BTL3 Apply
9 Find the critical point of the transformation ( )( ) W 2  Z  Z  Find the fixed points of
11 Let C be a curve in the z-plane with parametric equations x=F(t),
y=G(t).Show that the transformation z= F( )+i G( ) maps the curve C on
to the real axis of the w-plane.
BTL5 Evaluate MA5151 Question Bank Advanced Mathematical Methods
12 Discuss the transformation defined by w= coshz. BTL1 Remember
18 Show that for a closed polygon, the sum of exponents in Schwarz
Christoffel transformation is -2. MA5151 Question Bank Advanced Mathematical Methods

19 Define complex temperature of heat flow BTL2 Understand
20 Define velocity potential, source and sink

Subject name ADVANCED MATHEMATICAL METHODS
Short Name AMM
Semester 1
Subject Code MA5151

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