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November 7th, 2013, 11:57 AM
Guest User
m.tech cse 1st year ist sem

please provide m.tech cse previous question papers for 1st year 1st semistor ....
November 27th, 2019, 08:04 AM
Guest User
Re: JNTU Kakinada Previous Question Papers 1st Year Free Download

I am doing B.Tech 1st year from JNTU Kakinada searching for papers for doing exam preparation. Will you provide me B.Tech 1st year Math paper also provide syllabus?
November 27th, 2019, 08:07 AM
Super Moderator
Join Date: Oct 2019
Re: JNTU Kakinada Previous Question Papers 1st Year Free Download

Jawaharlal Nehru Technological University, Kakinada (JNTU Kakinada) is a public university, in Kakinada, East Godavari district, north of the Indian state of Andhra Pradesh

Please find the below attached file for the JNTU Kakinada B.Tech 1st year Math paper:

JNTU Kakinada B.Tech 1st year Math paper1

Math Syllabus:


UNIT – I Sequences – Series
Basic definitions of Sequences and series – Convergences and divergence – Ratio test – Comparison test
– Integral test – Cauchy’s root test – Raabe’s test – Absolute and conditional convergence
UNIT – II Functions of Single Variable
Rolle’s Theorem – Lagrange’s Mean Value Theorem – Cauchy’s mean value Theorem – Generalized Mean
Value theorem (all theorems without proof) Functions of several variables – Functional dependence-
Jacobian- Maxima and Minima of functions of two variables with constraints and without constraints
UNIT – III Application of Single variables
Radius, Centre and Circle of Curvature – Evolutes and Envelopes Curve tracing – Cartesian , polar and
Parametric curves.
UNIT – IV Integration & its applications
Riemann Sums , Integral Representation for lengths, Areas, Volumes and Surface areas in Cartesian and
polar coordinates multiple integrals – double and triple integrals – change of order of integration- change
of variable
UNIT – V Differential equations of first order and their applications
Overview of differential equations- exact, linear and Bernoulli. Applications to Newton’s Law of cooling, Law
of natural growth and decay, orthogonal trajectories and geometrical applications.
UNIT – VI Higher Order Linear differential equations and their applications
Linear differential equations of second and higher order with constant coefficients, RHS term of the type
f(X)= e ax , Sin ax, Cos ax, and xn, e ax V(x), x n V(x), method of variation of parameters. Applications
bending of beams, Electrical circuits, simple harmonic motion.
UNIT – VII Laplace transform and its applications to Ordinary differential equations
Laplace transform of standard functions – Inverse transform – first shifting Theorem, Transforms of
derivatives and integrals – Unit step function – second shifting theorem – Dirac’s delta function –
Convolution theorem – Periodic function – Differentiation and integration of transforms-Application of Laplace
transforms to ordinary differential equations.
UNIT – VIII Vector Calculus
Vector Calculus: Gradient- Divergence- Curl and their related properties Potential function – Laplacian and
second order operators. Line integral – work done ––- Surface integrals – Flux of a vector valued function.
Vector integrals theorems: Green’s -Stoke’s and Gauss’s Divergence Theorems (Statement & their Verification) .


Jawaharlal Nehru Technological University
Kakinada, Andhra Pradesh 533003
Attached Files
File Type: pdf JNTU Kakinada B.Tech 1st year Math paper1.pdf (635.4 KB, 76 views)
File Type: pdf JNTU Kakinada B.Tech 1st year Math paper2.pdf (635.4 KB, 60 views)

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