Syllabus for Lateral entry examinations
CSE/ECE/IT
Part - I
Mathematics:
Partial differentiation, change of variables, Jacobians, Double Integrals, Line and
Surface integrals, gradients, divergence and curl, Laplace transform, Inverse Laplace
Trasform, Gauss elimination, eigen values and eigen vectors, Second order linear
differential equations, Convergence of series, convergence tests, solution in series.
Bessels and Legendre functions, chebyshev polynomial and orthogonality. Second
order
partial differential equations, Laplace and Poisson equations, Functions of
complex variable, analytical
functions and Cauchy-Riemann equations, complex
integration, Taylor's and Laurent's series.
Physics:
Physical Optics: Analytical treatment of interference, Intensity distribution of
fringe system, Fresnel's biprism, Newton's rings, Diffraction (limited to
Fraunhofer class) from Single slit, double slit and Diffraction grating, Polarization,
Phenomenological understanding of Birefringence, Principles of use of uniaxial
crystals in practical polarizers, compensators and wave plates, Production and
analysis of completely
polarized light, Optical activity.
Relativity: Michelson-Morley experiment, Lorentz transformations, Addition of
velocities, Mass variation with velocity, Mass-energy relation.
Atomic Structure: Origin of spectral lines, spin and orbital angular momentum,
Quantum numbers, Atoms in magnetic field, Zeeman effect.
Statistical Distributions: Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac
distributions and their applications.
Lasers: Principle and working of laser, Different types of lasers (He-Ne Laser, Ruby
Laser, Semiconductor Laser),Holography.
Electrical Science:
Circuit Concepts and basic postulates:
Sources of energy; Field and circuit
behavior
of passive
and lumped parameters, resistance, capacitance and
inductance. Review of KVL and KCL. Tellegen's theorem.Network theorems and
circuit theory concepts: Superposition principle, Thevenin's, Norton’s and Maximum
Power Transfer theorems; Star/Delta transformation; Node
voltage & loop current
methods.Sinusoidal Steady State Circuit Analysis: Voltage, Current Sinusoidal and
phasor representation of sources. Single phase AC circuit analysis with resistance,
capacitance and inductance and their combinations; Concepts of impedance, power
and power factor. Series and Parallel resonance, bandwidth. Three Phase Supply:
Star/Delta connections, line and phase voltage/current relations. Magnetic Circuits
and Transformers, Rotating Machines: DC Machines, types, characteristics and their
applications. Synchronous and Induction machines.
Introduction to Computer Programming:
Introduction to Programs, Processing programs, Types of Programming
Languages, Programming Design tools (Pseudo code and Flowcharts), Program
Design Structured Programming, Problem solving and programming, Testing and
Debugging Techniques.
Part - II
Computer Programming and Basic Data Structures:
Structured programming in C, Data types, Control flow, Selection, Looping, Array,
String, Pointer, Function, Structure, Union, Iteration, File I/O, Linked list. Number
system and representation, Fixed and Floating point numbers, Binary arithmetic,
Character representation, Recursion and its Removal, Stack, Queue, BST, Tree and
Graph Traversal.
Electronic Devices and Circuits:
Semiconductor Diodes: Formation of depletion layer, Diode equation Diode
Applications: rectifiers, Clippers, Clampers, Breakdown Diodes: Zener and avalanche
breakdown, Bipolar Junction Transistor (BJT) : CB and CE input and output
characteristics, DC load line. Need of biasing a transistor, Need for bias
stabilization, .Hybrid parameters of a BJT Field-Effect Transistor (FET) Feedback in
Amplifiers: Effects of negative feedback on amplifier characteristics. Sinusoidal
Oscillators, Operational Amplifiers. Number Systems & BCD Codes , Addition and
subtraction in binary and other number systems, Unsigned and signed binary
numbers, Logic Gates ,Boolean theorems Evaluation of Boolean expressions,
Synthesis of Boolean expressions, Canonical forms (SOP from, POS form),
Minimization using Karnaugh map, Don’t care conditions. Flip-Flops: Combinational
circuits, Sequential circuits, Counters and Registers.