PTU B Tech EE-3rd Sem Applied Mathematics-III AM-201 Exam paper

Can you give me question paper for PTU B.Tech EE-3rd Sem-Applied Mathematics-III (AM-201) Examination??

Here I am giving you question paper for PTU B.Tech EE-3rd Sem-Applied Mathematics-III (AM-201) Examination

B.Tech. (Sem. - 3rd/4th) ,
MATHEMATICS- III (AM -201)
Time: 03 Hours

Section -A
Ql) (10 X 2 =20)
a) Canf(x) = tan x be expanded as a Fourier series in the interval-(-rc,rc).
b) Give the sufficient condition for the existence of Laplace transform of
f(t). '
f.c }
1 1 . '
c) If Lv (t) =- e-s , find the Laplace transform of e-t f(3t).
d) Find the D1 es2 .
e) Write algorithm ofpow,er series method for solution of differential equations.
£) For the Bessel's function prove the recurrence relation
~ ~p J p (x)}= xP J p-I(X).
g) Form the partial differential equation from F(xy + Z2,x + y + z) = O.
h) Is the function u(x, y) = 2xy -+-3xy2 - 21, a harmonic function?
i) Give the definition of Conformal transformation.

Given that x(O)= 2, y(O) = 1.. \
Q3) Using convolution theorem find the inverse of ~
Q4) Find the §eries solution of differential,equation (1 - X2) y" '- 2x y' + 6y = O.
Q5) Solve (D: - D: Dy + 2D~ D.: - 5D, D~ + 3D~)z = o.
Q6) Evaluate fIzl2 dz, around the square with vertices at (0,0), (1,0), (1,1)
Q8) Solve Laplace's equation in rectangle with u(O,y) = 0, ¥(a, y) = 0, ~(x, b) = O.
. and u(x, 0) = f(x).
. 1
Q9) Find the Laurent series off(z) = ( )( 2)
for the following intervals

__________________
Answered By StudyChaCha Member

Hello sir I am in B. tech 3 sem and I want to know about the paper pattern of Sem Applied Mathematics-III AM-201 Exam paper.

Applied Mathematics gives the basic concept of electrical circuits to the student. At Punjab Technical University, this subjectcomes in 3rd semester.

Paper pattern

Maximum marks of this paper-100.
There are 3 sections.

First section contains 10 shirt questions. All of them are compulsory. They contain 2 marks each

Second section contains 5 questions. Out of those 5, a student needs to attempt only 4. Each question carry 5 marks each.

In the last section, there are 3 questions which consist of many sub parts. Of these 3, only two questions need to be attempted. Each question carries 10 marks.

Question Paper

__________________
Answered By StudyChaCha Member