CIVL 1101
What is GIS?
WhatisGIS?
1/9
WhatisGIS?
GeographicalInformationSystems(GIS)canberegardedasthe
hightechequivalentofthemap.
Hydrology
GISintegrateshardware,software,anddataforcapturing,
managing,analyzing,anddisplayingallformsofgeographically
g g
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 equations, linear
transformations and Eigen value probl
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 assigns to every element x
, a unique element f(x)
, is a
SUB: MATHEMATICS
MODULE-5B
MODULE-5B
Gradient, Divergence and Curl, Vector identities, Directional
derivatives, Line, Surface and Volume integrals, Stokes, Gauss and
Greens theorems
1. A unit tangent vector to the surface
is
a)
b)
c)
d)
a)
b)
c)
d)
1
3
0
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 might think that, since S is infinite in extend, its area m
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)
(c)
(d)
6. Solution of
is
2. The differential equatio
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
Such equations can be reduced to linear differential equ
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 above
] is
Ans:
The rank of a matrix is order of highes
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 function
Write the auxiliary equation (A.E)
and
Solve it for
SUB: MATHEMATICS
MODULE-5C
MODULE-5C
Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line, Surface
and Volume integrals, Stokes, Gauss and Greens theorems
1.
A unit tangent vector to the surface
is
a)
b)
c)
d)
Ans:
2.
The equat
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 equation ( )
is
(a) Linear of degree 3
(b) Non-linear
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
[
(
)
(
)
]
is
1
SUB: MATHEMATICS
MODULE-4C
Ans:
3.
If
a)
b
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 the Taylors series expansion of sin x at x=0.
a)
b)
c)
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
MODULE-3C
3.
a)
b)
c)
d)
Ans:
[
]
=
( )
4.
a)
b)
c)
d)
0
1
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
differentials.
The order of a differential equation is the order o
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 and y is called a function of two independent variables x
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 equation
where L is a constant. The boundary
conditions a
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 y'(1) = - 3 is,
a)
b)
c)
d)
Ans:
1
y'(1) = - 3
( )
1
1
SUB: MATHEMATICS
MODULE-5A
MODULE-5A
Gradient, Divergence and Curl, Vector identities, Directional derivatives, Line,
Surface and Volume integrals, Stokes, Gauss and Greens theorems
Differentiation of vectors:
If a vector varies continuously as a scalar v
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 y'(1) = - 3 is,
( )
The complete solution of
the differ
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 conditions are: n(0)=K and n
( ) = 0. The solution to
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 of Candidates called to Personality Test.
BOARD I
Day
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 dripping with salt on the shore. And first Achates str
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) these things with herself: That I, the victor, cease from
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 the waves, a towering mountain of water follows in a heap