SUB: MATHEMATICS
MODULE-1A
MODULE-1A
Linear Algebra: Matrix algebra, system of linear equations, Eigen values and
Eigen vectors.
_
Linear algebra deals with theory and application of linear system of
SUB: MATHEMATICS
MODULE-2A
MODULE-2A
Functions of single variable, Limit, continuity and differentiability,
Mean value theorems.
Function: For sets A and B, a function A to B, defined by f: A
which as
SUB: MATHEMATICS
MODULE-3A
MODULE-3A
Evaluation of definite and improper integrals
_
Consider the infinite region S that lies under the curve
to the right of the line
above the x- axis, and
. You migh
SUB: MATHEMATICS
MODULE-6B
MODULE-6B
Differential equations: First order equations (Linear and Nonlinear)
1.
, is the general solution
of differential equation
5. Solution of (
)
is
a)
b)
c)
d)
(a)
(b
SUB: MATHEMATICS
MODULE-8A
MODULE-8A
Cauchys and Eulers equations, Initial and boundary value problems
An equation of the form
is called cauchys homogeneous linear equation.
Where X is a function of
S
SUB: MATHEMATICS
MODULE-1C
MODULE-1C
Linear Algebra: Matrix algebra, system of linear equations, Eigen values and eigen vectors.
_
1.
The rank of the matrix A= [
a) One
b) Two
c) Three
d) None of the
SUB: MATHEMATICS
MODULE-7A
MODULE-7A
Higher order linear differential equations with constant coefficients
These are the form
Where
are constants
In symbols form (
I.
)
To find the complementary funct
SUB: MATHEMATICS
MODULE-6C
MODULE-6C
Differential equations: First order equations (linear and nonlinear)
1.
, is the general solution of differential equation
(a)
(b)
(c)
(d)
Ans:
2.
The differential
SUB: MATHEMATICS
MODULE-4C
MODULE-4C
Partial derivatives, Total derivative, Maxima and minima
1.
(
If
a)
b)
c)
d)
)
0
1
2
3
Ans:
(
)
(
)
=
[
=
(
[
]
[
2.
JH ACADEMY
If
)]
]
(a) -
(b) -
(c) 0
(d)1
[
(
SUB: MATHEMATICS
MODULE-2C
MODULE-2C
Functions of single variable, Limit, continuity and differentiability, Mean value theorems
_
1.
The limit of
is
a) 1
b) 0
c)
d) None of the above
Ans:
=1
2.
Find
SUB: MATHEMATICS
MODULE-3C
MODULE-3C
Evaluation of definite and improper integrals.
_
1.
a) 0
b) 1
c) 0.5
d)
Ans:
[
=
2.
]
a)
b)
c)
d)
Ans:
=
*
(
(
JH ACADEMY
( )+
( )
)
)
Page 1
SUB: MATHEMATICS
MODU
SUB: MATHEMATICS
MODULE-6A
MODULE-6A
Differential equations: First order equations (linear and nonlinear)
A differential equation is an equation which involves differential co-efficient or
differentia
SUB: MATHEMATICS
MODULE-4A
MODULE-4A
Partial derivatives, Total derivative, Maxima and minima
Functions of two or more variables: A symbol z which has a definite value for every pair
of values of x an
SUB: MATHEMATICS
MODULE-7B
MODULE-7B
Higher order linear differential equations with constant coefficients.
_
5. The complete solution for the ordinary
1. A function n(x) satisfied the
differential eq
SUB: MATHEMATICS
MODULE-8C
MODULE-8C
Cauchys and Eulers equations, Initial and boundary value problems.
_
1.
The solution for the following differential equation with boundary
conditions y(0) = 2 and
SUB: MATHEMATICS
MODULE-8B
MODULE-8B
Cauchys and Eulers equations, Initial and boundary value problems.
_
1. The solution for the following
differential equation with boundary
conditions y(0) = 2 and
SUB: MATHEMATICS
MODULE-7C
MODULE-7C
Higher order linear differential equations with constant coefficients.
_
1.
A function n(x) satisfied the differential equation
where L is a constant. The boundary
PUBLIC SERVICE COMMISSION, WEST BENGAL
161-A, S. P. Mukherjee Road, Kolkata 700 026
Dated: the 22nd November, 2016.
No. 508 PSC / Con. IIA
Assistant Engineer (Civil) Recruitment Examination, 2015
List
To here Aeneas goes under with seven ships having been collected from the whole number, and
with a great love of land, having disembarked, the Trojans gain the desired sand, and they place
their limbs
Scarcely from sight of Sicilian land, the happy ones were giving fabrics into the deep and were
rushing the foams of salt with bronze, when Juno, preserving an eternal wound under her chest,
(says) th
To him throwing such things, an opposite gust, shrieking from the north wind, strikes the sail,
and lifts the waves to the stars. The oars are broken, then the prow overturns, and gives the side
to th