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Syllabus
PHY 1
Physics-I (Syllabus)
Physics-I
Module 1:Harmonic Oscillation 6 Lectures
Simple harmonic motion, damped and forced simple harmonic oscillator with examples,
damped harmonic oscillator – heavy, critical and light damping, Amplitude and energy decay
in a damped harmonic oscillator. Forced oscillation and resonance condition.
Module 2: Wave optics 8 Lectures
Superposition of waves, Interference, thin film interference and Newton’s ring, Diffraction of
light, Diffraction due to single slit, double slits, Unpolarized& Polarized light, Polarization of
wave, Production of polarized wave: Brewster’s law, Malus’ law, Double refraction,
Retardation plate, Analysis of polarization.
Module 3: Vector Calculus 6 Lectures
Scalar & Vector field, Gradient of scalar field, Divergence & Curl of Vector field, Gauss’
Divergence theorem, Stokes’ theorem.
Module 4: Electrostatics 7 Lectures
Laplace’s and Poisson’s equations for electrostatic potential, Uniqueness theorem. Electric
polarization; Relation between D, E and P Electric displacement and boundary conditions;
Dielectric sphere in uniform electric field.
Module 5: Magnetostatics 7 Lectures
Biot-Savart’s law and applications, Three magnetic vector B, H and M andrelation between
them; Boundary conditions on B and H. magnetic susceptibility, diamagnetic, paramagnetic
and ferromagnetic materials. Hysteresis loop Hysteresis loss and its application.
Module 6: Maxwell’s equations & EMW 8 Lectures
Continuity equation for current densities; Ampere’s law and its modification, Differential and
integral forms of Maxwell’s equation, Maxwell’s equation in vacuum and non-conducting
medium; The wave equation; Plane electromagnetic waves in vacuum, transverse character,
relation between electric and magnetic fields of an electromagnetic wave; Energy in an
electromagnetic field and Poynting theorem.
Text Book:
● Introduction to Electrodynamics, D.J. Griffiths, 3rd Edn., 1998, Benjamin Cummings.
Reference books:
● Fundamentals of Physics Electricity and Magnetism, Halliday and Resnick, tenth
edition (published 2013).
● Electricity, magnetism and light, W. Saslow, 1st edition
● Electromagnetic Theory, Singh and Prasad, I. K. International Publication, 1/e
● Electricity, Magnetism & Electromagnetic Theory, S. Mahajan and Choudhury, 2012, Tata
McGraw
● Elements of Electromagnetics, M.N.O. Sadiku, 2010, Oxford University Press.
● Fundamentals of Optics, F.A. Jenkins and H.E. White, 1981, McGraw-Hill
● Principles of Optics, Max Born and Emil Wolf, 7th Edn., 1999, Pergamon Press.
● Optics, AjoyGhatak, 2008, Tata McGraw Hill
● Waves: Berkeley Physics Course, vol. 3, Francis Crawford, 2007, Tata McGraw-Hill.
● Engineering physics, Gaur and Gupta, DhanpatRai Publications
● Modern engineering physics, A. S. Vasudeva, S Chand & Company Ltd
M-I
Mathematics – I (Syllabus)
Mathematics I:
Module 1: Functions of one variable: Successive Differentiation, Leibnitz Theorem,
Expansion of function into Taylors and Maclaurin’s Series. Functions of two or more
variable: Partial derivatives; Euler’s Theorem; Taylor’s Expansion. Maxima, minima of
function of two variables. Lagrange method of undetermined multipliers. (10 L/ 2Q)
Module 2: Reduction formula for integrals. Improper integrals and its convergence; Beta
and Gamma functions and their properties. Differentiation under integral sign. Applications
of integrals as length, area, volume and surface area of revolution. (8 L/ 1Q)
Module 3: Vector Space: Vector addition and scalar multiplication, linear dependence and
independence of vectors, basis, dimension; Linear transformations , range and kernel of a
linear mapping, rank and nullity, Inverse of a linear transformation, rank nullity theorem,
composition of linear maps, Matrix associated with a linear mapping. (10 L/ 2Q)
Module 4: Matrices: Rank of a matrix, solution of system of linear equations, consistency and inconsistency, Eigen values and eigenvectors; Diagonalization of matrices; Cayley- Hamilton Theorem. Inner product spaces, Gram-Schmidt orthogonalization. (8 L/ 1Q)
Module 5: First order ordinary Differential Equations: Exact, Linear and Bernoulli’s
equations, Euler’s equations, Equations not of first degree: equations solvable for p,
equations solvable for y, equations solvable for x and Clairaut’s type.
BEE
Basic Electrical Engineering (Syllabus)
BASIC ELECTRICAL ENGINEERING
Module 1 : DC Circuits 7 Lectures
Electrical circuit elements (R, L and C), voltage and current sources, Kirchoff current and
voltage laws, analysis of simple circuits with dc excitation. Superposition, Thevenin and Norton
Theorems. Time-domain analysis of first-order RL and RC circuits.
Module 2: AC Circuits 7 Lectures
Representation of sinusoidal waveforms, peak and rms values, phasor representation, real power,
reactive power, apparent power, power factor. Analysis of single-phase ac circuits consisting of
R, L, C, RL, RC, RLC combinations (series and parallel), resonance. Three phase balanced
circuits, voltage and current relations in star and delta connections.
Module 3: Transformers 6 Lectures
Magnetic materials, BH characteristics, ideal and practical transformer, equivalent circuit, losses
in transformers, regulation and efficiency. Auto-transformer and three-phase transformer
connections.
Module 4: Electrical Machines 8 Lectures
Generation of rotating magnetic fields, Construction and working of a three-phase induction
motor, Significance of torque-slip characteristic. Loss components and efficiency, starting and speed control of induction motor. Single-phase induction motor. Construction, working, torque-
speed characteristic and speed control of separately excited dc motor. Construction and working of synchronous generators.
Module 5: Power Converters 6 Lectures
DC-DC buck and boost converters, duty ratio control. Single-phase and three-phase voltage
source inverters; sinusoidal modulation.
Module 6: Electrical Installations 6 Lectures
Components of LT Switchgear: Switch Fuse Unit (SFU), MCB, ELCB, MCCB, Types of Wires
and Cables, Earthing. Types of Batteries, Important Characteristics for Batteries. Elementary
calculations for energy consumption, power factor improvement and battery backup.
Suggested Text / Reference Books
D. P. Kothari and I. J. Nagrath, “Basic Electrical Engineering”, Tata McGraw Hill, 2010.
D. C. Kulshreshtha, “Basic Electrical Engineering”, McGraw Hill, 2009.
L. S. Bobrow, “Fundamentals of Electrical Engineering”, Oxford University Press, 2011.
E. Hughes, “Electrical and Electronics Technology”, Pearson, 2010.
V. D. Toro, “Electrical Engineering Fundamentals”, Prentice Hall India, 1989.