Introduction to Quantum mechanics, Wave nature of Particles, operators ,Time-dependent
and timeindependent Schrodinger equation for wavefunction, Application: Particle in a
One dimensional Box,
Born interpretation, Free-particle wavefunction and wave-packets, vg and vp relation
Huygens’ principle, superposition of waves and interference of light by wave front
amplitude splitting; Young’s double slit experiment, Newton’s rings, Michelson
interferometer, MachZehnder interferometer.
Farunhofer diffraction from a single slit and a circular aperture, the Rayleigh
criterion for limit of
resolution and its application to vision; Diffraction gratings and their resolving
Free electron theory of metals, Fermi level of Intrinsic and extrinsic, density of
states, Bloch’s theorem
for particles in a periodic potential, Kronig-Penney model(no derivation) and origin of
V-I characteristics of PN junction, Zener diode, Solar Cell, Hall Effect.
Einstein’s theory of matter radiation interaction and A and B coefficients;
amplification of light by
population inversion, different types of lasers: gas lasers ( He-Ne, CO2), solid-state
Neodymium),Properties of laser beams: mono-chromaticity, coherence, directionality and
laser speckles, applications of lasers in science, engineering and medicine.
Introduction to Optical
fiber, acceptance angle and cone, Numerical aperture, V number, attenuation.
Calculation of electric field and electrostatic potential for a charge distribution;
Basic Introduction to Dielectrics, Gradient, Divergence and curl,Stokes’ theorem, Gauss
Continuity equation for current densities; Maxwell’s equation in vacuum and
Rolle’s theorem, Mean Value theorems, Expansion of functions by Mc.
Laurin’s and Taylor’s for one variable; Taylor’s theorem for function of two variables,
Differentiation, Maxima & Minima (two and three variables), Method of Lagranges
Definite Integral as a limit of a sum and Its application in summation of
series; Beta and Gamma functions and their properties; Applications of definite
integrals to evaluate surface
areas and volumes of revolutions. Multiple Integral, Change the order of the
integration, Applications of
multiple integral for calculating area and volumes of the curves.
Convergence of sequence and series, tests for convergence;
Power series, Taylor's series, series for exponential, trigonometric and logarithm
functions; Fourier series:
Half range sine and cosine series, Parseval’s theorem.
:Vector Space,Vector Sub Space, Linear Combination of
Vectors,Linearly Dependent, Linearly Independent, Basis of a Vector Space,Linear
Rank of a Matrix, Solution of Simultaneous Linear Equations by
Elementary Transformation, Consistency of Equation, Eigen Values and Eigen Vectors,
Matrices, Cayley-Hamilton theorem and its applications to find inverse.
Materials : Classification of engineering material, Composition of Cast
iron and Carbon steels, Iron Carbon
diagram. Alloy steels their applications. Mechanical properties like strength, hardness,
toughness , ductility,
brittleness , malleability etc. of materials , Tensile test- Stress-strain diagram of
ductile and brittle materials
,Hooks law and modulus of elasticity, Hardness and Impact testing of materials, BHN etc.
Measurement: Concept of measurements, errors in measurement,
Temperature, Pressure, Velocity, Flow
strain, Force and torque measurement, Vernier caliper, Micrometer, Dial gauge, Slip
gauge, Sine-bar and
Production Engineering: Elementary theoretical
aspects of production processes like casting, carpentry,
welding etc Introduction to Lathe and Drilling machines and their various operations.
Fluids : Fluid properties pressure, density and viscosity etc. Types of
fluids , Newton’s law of viscosity ,
Pascal’s law , Bernoulli’s equation for incompressible fluids, Only working principle of
pumps, turbines, Reciprocating pumps .
Thermodynamics :, Thermodynamic system, properties, state, process,
Zeroth, First and second law of
thermodynamics, thermodynamic processes at constant pressure, volume, enthalpy &
Steam Engineering : Classification and working of boilers,
mountings and accessories of boilers, Efficiency
and performance analysis, natural and artificial draught, steam properties, use of steam
Reciprocating Machines :
Working principle of steam Engine, Carnot, Otto, Diesel and Dual cycles P-V & T-S
diagrams and its
efficiency, working of Two stroke & Four stroke Petrol & Diesel engines. Working
principle of compressor.
Building Materials & Construction:
Stones, bricks, cement, lime, timber-types, properties, test & uses, laboratory tests
and mortar Materials: Workability, Strength properties of Concrete, Nominal proportion
Concrete preparation of concrete, compaction, curing.
Elements of Building Construction, Foundations conventional spread footings, RCC
brick masonry walls, plastering and pointing, floors, roofs, Doors, windows, lintels,
staircases – types and their suitability
Surveying & Positioning:
Introduction to surveying Instruments – levels, thedolites, plane tables and related
Electronic surveying instruments etc. Measurement of distances – conventional and EDM
methods, measurement of directions by different methods, measurement of elevations by
different methods. Reciprocal leveling.
Mapping & sensing:
Mapping details and contouring, Profile Cross sectioning and measurement of areas,
volumes, application of measurements in quantity computations, Survey stations,
Introduction of remote sensing and its applications.
Engineering Mechanics:Forces and Equilibrium: Graphical and Analytical
Treatment of Concurrent and nonconcurrent Co- planner forces, free Diagram, Force
Diagram and Bow’s notations,
Application of Equilibrium Concepts: Analysis of plane Trusses: Method of joints, Method
of Sections. Frictional force in equilibrium problems
Engineering Mechanics:Centre of Gravity and moment of Inertia: Centroid
and Centre of Gravity, Moment Inertia of
Area and Mass, Radius of Gyration, Introduction to product of Inertia and Principle
Support Reactions, Shear force and bending moment Diagram for Cantilever & simply
supported beam with concentrated, distributed load and Couple.
Computer: Definition, Classification, Organization i.e. CPU, register,
Bus architecture, Instruction set,
Memory & Storage Systems, I/O Devices, and System & Application Software. Computer
Application in eBusiness, Bio-Informatics, health Care, Remote Sensing & GIS,
Meteorology and Climatology, Computer
Gaming, Multimedia and Animation etc.
Operating System: Definition,
Function, Types, Management of File, Process & Memory. Introdcution to
MS word, MS powerpoint, MS Excel
Introduction to Algorithms, Complexities and Flowchart, Introduction to Programming,
Programming Languages, Program Design, Programming Paradigms, Characteristics or
Concepts of OOP,
Procedure Oriented Programming VS object oriented Programming. Introduction to C++:
Tokens, Precedence and Associativity, Program Structure, Data Types, Variables,
Statements and control structures, I/O operations, Array, Functions,
Object & Classes, Scope Resolution Operator, Constructors & Destructors, Friend
Polymorphism, Overloading Functions & Operators, Types of Inheritance, Virtual
functions. Introduction to
Computer Networking: Introduction, Goals, ISO-OSI Model, Functions of
Internetworking Concepts, Devices, TCP/IP Model. Introduction to Internet, World Wide
Computer Security Basics: : Introduction to viruses,
worms, malware, Trojans, Spyware and Anti-Spyware
Software, Different types of attacks like Money Laundering, Information Theft, Cyber
spoofing, Denial of Service (DoS), Cyber Stalking, ,Logic bombs, Hacking Spamming, Cyber
pharming Security measures Firewall, Computer Ethics & Good Practices, Introduction of
Cyber Laws about
Internet Fraud, Good Computer Security Habits,
Data base Management System: Introduction, File oriented approach and
Database approach, Data
Models, Architecture of Database System, Data independence, Data dictionary, DBA,
Primary Key, Data
definition language and Manipulation Languages.
Cloud computing: definition, cloud infrastructure, cloud segments or
service delivery models (IaaS, PaaS
and SaaS), cloud deployment models/ types of cloud (public, private, community and
hybrid clouds), Pros
and Cons of cloud computing