MATH-102E
MATHEMATICS-II
(COMMON
FOR ALL BRANCHES)
L T P Theory : 100 marks
4 1 Sessional :
50 marks
Total : 150 marks
Duration
of exam : 3 Hrs.
UNIT-I
Matrices
& its Applications : Rank of a
matrix, elementary transformations, elementary matrices, inverse
using elementary transformations, normal
form of a matrix,
linear dependence and in
dependence of vactors, consistency of
linear system of equations, linear and orthogonal transformations, eigen values
and eigen vectors, properties
of eigen
values, Cayley - Hamilton theorem and its applications.
UNIT-II
Ordinary
Differential Equations & its Applications
: Exact differential equations.
Equations reducible to exact differential equations. Applications of
Differential equations of
first order & first degree to
simple electric circuits, Newton's law of cooling, heat
flow and orthogonal trajectories.
Linear
differential equations of second and higher order. Complete solution,
complementary function and particular
integral, method of variation of
parameters to find particular
Integral, Cauchy's and
Legender's linear equations, simultaneous
linear equations with constant co-efficients. Applications
of linear differential equations
to simple pendulum, oscillatory
electric circuits.
UNIT-III
Laplace
Transforms and its Applications :
Laplace transforms of elementary
functions, properties of Laplace transforms, existence
conditions, transforms of
derivaties, transforms of integrals, multiplication by tn, division
by t. Evaluation of
integrals by Laplace
transforms. Laplace transform of Unit
step function, unit impulse function and periodic function. Inverse transforms, convolution
theorem, application to linear differential equations
and simultaneous linear differential equations with constant coefficients.
UNIT-IV
Partial
Differential Equations and Its Applications
: Formation of partial differential equations, Lagrange’s linear partial
differential equation, First order non-linear partial differential equation,
Charpit’s method. Method of separation of variables and its applications to
wave equation and one dimensional heat equation, two dimensional heat flow,
steady state solutions only.
TEXT
BOOKS:
1. Advanced Engg. Mathematics F Kreyszig
2. Higher Engg. Mathematics B.S. Grewal
REFERENCE
BOOKS :
1. Differential Equations – H.T.H. Piaggio.
2. Elements of Partial Differential Equations –
I.N. Sneddon.
3. Advanced Engineering Mathematics – R.K.
Jain, S.R.K.Iyengar.
4. Advanced Engg. Mathematics – Michael D.
Greenberg.
Note: The Examiners
will set eight questions, taking two from each unit. The students are required to attempt five
questions in all selecting at least one from each unit. All questions will carry equal marks.
PHY-102E
PHYSICS-II
(COMMON FOR ALL
BRANCHES)
L T P Theory:
100 marks
3 1 Sessional: 50 marks
Total:
150 marks
Time:
3 Hrs.
UNIT-I
CRYSTAL STRUCTURE: Space Lattice, unit cell and
translation vectors, Miller indices, simple
crystal structure, Bonding in
solids, Experimental X-ray diffraction method, Laue method, powder
Method, Point defects in solids, Elementary idea of quarks and gluons.
UNIT-II
QUANTUM PHYSICS: Difficulties with Classical
physics, Introduction to quantum mechanics-simple concepts, discovery of
Planck's constant, Group velocity and
phase velocity, Schrodinger wave
equations - time dependant and time
independent Schrodinger equations, Elementary ideas of quantum statistics.
FREE ELECTION THEORY: Elements
of classical free electron theory
and its limitations, Drude’s
Theory of Conduction, quantum theory of free electrons, Fermi level, Density of
states, Fermi-Dirac distribution function, Thermionic emission, Richardson's
equation.
UNIT-III
BAND THEORY
OF SOLIDS: Origin of
energy bands, Kronig, Penney Model
(qualitative), E-K diagrams, Brillouin Zones, Concept of effective mass
and holes, Classification of solids into metals, Semiconductors and insulators,
Fermi energy and its variation with temperature. Hall effect and its Applications.
UNIT-IV
PHOTOCONDUCTIVITY AND PHOTOVOLTAICS: Photoconductivity in insulating crystals,
variation with illumination, effect of traps, applications of photoconductivity,
photovoltaic cells and their characteristics.
MAGNETIC PROPERTIES OF SOLIDS: Atomic magnetic moments, orbital
diamagnetism, Classical theory of paramagnetism, ferro magnetism - molecular
fields and domains.
SUPER CONDUCTIVITY:
Introduction (experimental survey), Meissner effect, London
TEXT BOOKS:
- Introduction to
- Quantum Mechanics – Powell and Crasemann
(Oxford & IBH)
- Fundamentals of
REFERENCE BOOKS:
1. Sold State Physics – Pillai (New Age).
2. A text book of Engg. Physics – Avadhanulu
and Kshirsagar (S.Chand)
3. Quantum Mechanics – Ghatak & Loknathan.
Note: The Examiners
will set eight questions, taking two from each unit. The students are required to attempt five
questions in all selecting at least one from each unit. All questions will carry equal marks.
PHY-104E
PHYSICS LAB.-II
(COMMON FOR ALL
BRANCHES)
L
T P Sessional
Work:25 Marks
- -
2
Examination: 25 Marks
Total: 50
Marks
Duration of
Exam: 3 Hrs.
Note:
Students will be
required to perform
at least10 experiments out of the list in a semester.
LIST OF EXPERIMENTS
The experiments in Second semester will be based
upon electricity, Magnetism, Modern Physics and Solid State Physics, which are
the parts of theory syllabus.
- To
study He Ne laser
- Tofind
the frequency of ultrasonic waves by piezo eletric methods
- To
find the value of e/m for electrons by Helical method.
- To find the ionisation potential of
Argon/Mercury using a thyratron tube.
- To study the variation of magnetic field
with distance and to find the
radius of coil by Stewart and Gee's apparatus.
- To
study the characteristics of (Cu-Fe, Cu-Constantan) thermo couple.
- To find
the value of Planck's constant by
using a photo electric cell.
- To find
the value of co-efficient
of self-inductance by using a Rayleigh bridge.
- To
find the value of Hall Co-efficient of semi-conductor.
- To
study the V-I characteristics of a p-n diode.
- To
find the band gap of intrinsic semi-conductor using four probe method.
- To
calculate the hysteresis loss by tracing a B-H curve.
- To verify
richerdson thermionic equation
- To
find the flashing and quenching potential of Argon and to find the cap. of
unknown capacitor
- To
find the temp coeff. of resistance by using Pt resistance therometer by
post office box
RECOMMENDED BOOKS
:
1. Advanced Practical Physics – B.L. Worshnop
and H.T. Flint (KPH)
2. Practical Physics – S.L. Gupta & V.
Kumar (Pragati Prakashan).
3. Advanced Practical Physics Vol. I & II –
Chauhan & Singh (Pragati Prakashan).
EL-101E
ELEMENTS OF ELECTRONICS ENGINEERING (Old)
L T
P Sessional:
25 Marks
3 1
- Exam.: 75 Marks
Total: 100 Marks
Time: 3 Hrs.
UNIT-I
Semiconductors
p-type, n-type, pn junction diodes, pn junction as a circuit element, its
characteristics, half wave and full wave and bridge type rectifier circuits
basic filter circuits, Doide as voltage multiplier, clipper & clamper
circuit. Zener diode as a voltage
regulator. LED its characteristics construction & applications
UNIT-II
Characteristics
of transistors in different configuration.
Concept of d.c.
UNIT-III
Differential
amplifier and its transfer characteristics. IC Op-Amps, its ideal &
practical specifications and measurement of parameters. Op-Amp in different
modes as inverting amplifier non inverting amplifier scale changer,
differentiator & integrator.
UNIT-IV
Characteristics
of JFET, MOSFET, Various amplifier configurations using FET. Characteristics
and Construction of SCR, TRIAC, UJT. Their basic areas applications.
Reference :
1. Electronic Devices & Circuits - Boylstad
& Nashelsky.
- Integrated Electronics By Millman &
Halkias.
- Electronic Principles – Malvino
- Principles of Electronics – V.K. Mehta,
Shalu Melta.
- Electronic Circuits – Donald L. Shilling
& Charles Belowl
Note: The Examiners
will set eight questions, taking two from each unit. The students are required to attempt five
questions in all selecting at least one from each unit. All questions will carry equal marks.