ECE 1st Semester Syllabus

Unit 1Calculus

Rolle’s theorem · Mean Value theorems · Expansion of functions by Mc. Laurin’s and Taylor’s for one variable · Taylor’s theorem for functions of two variables · Partial Differentiation · Maxima & Minima (two and three variables) · Method of Lagrange’s Multipliers

Unit 2Calculus

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 integration · Applications of multiple integrals for calculating area and volumes of curves

Unit 3Sequences and Series

Convergence of sequences and series · Tests for convergence · Power series · Taylor's series · Series for exponential, trigonometric and logarithmic functions · Fourier series: half‑range sine and cosine series · Parseval’s theorem

Unit 4Vector Spaces

Vector Space · Vector Sub‑Space · Linear Combination of Vectors · Linear Dependence and Linear Independence · Basis of a Vector Space · Linear Transformations

Unit 5Matrices

Rank of a Matrix · Solution of simultaneous linear equations by elementary transformation · Consistency of equations · Eigenvalues and eigenvectors · Diagonalization of matrices · Cayley‑Hamilton theorem and its applications to find inverse

Unit 1Wave nature of particles and the Schrödinger equation

Introduction to quantum mechanics · Wave nature of particles · Operators · Time‑dependent Schrödinger equation · Time‑independent Schrödinger equation · Particle in a one‑dimensional box · Born interpretation · Free‑particle wavefunction and wave‑packets · Group velocity $v_g$ and phase velocity $v_p$ · Uncertainty principle

Unit 2Wave optics

Huygens’ principle · Superposition of waves and interference (wave‑front and amplitude splitting) · Young’s double‑slit experiment · Newton’s rings · Michelson interferometer · Mach‑Zehnder interferometer · Fresnel diffraction from a single slit and circular aperture · Rayleigh criterion and its application to vision · Diffraction gratings and resolving power

Unit 3Introduction to solids

Free electron theory of metals · Intrinsic and extrinsic Fermi levels · Density of states · Bloch’s theorem for periodic potentials · Kronig‑Penney model (conceptual) · Origin of energy bands · $V$‑$I$ characteristics of $p\!\-\!n$ junction · Zener diode behavior · Solar cell principles · Hall effect

Unit 4Lasers

Einstein coefficients $A$ and $B$ · Population inversion and light amplification · Gas lasers (He‑Ne, CO$_2$) · Solid‑state lasers (ruby, Nd:YAG) · Properties of laser beams: monochromaticity, coherence, directionality, brightness · Laser speckles and applications · Optical fiber basics: acceptance angle, numerical aperture, $V$‑number, attenuation

Unit 5Electrostatics in vacuum

Electric field and electrostatic potential for charge distributions · Electric displacement $\mathbf{D}$ · Introduction to dielectrics · Vector calculus: gradient, divergence, curl · Stokes’ theorem · Gauss’s law · Continuity equation for current density · Maxwell’s equations in vacuum and non‑conducting media · Poynting vector $\mathbf{S}$

Unit 1Materials

Classification of engineering materials and composition of cast iron and carbon steels · Iron‑Carbon diagram and applications of alloy steels · Mechanical properties: strength, hardness, toughness, ductility, brittleness, malleability · Tensile test – stress‑strain diagram for ductile and brittle materials · Hooke’s law, modulus of elasticity, hardness and impact testing (BHN, etc.)

Unit 2Measurement

Concepts of measurement and sources of errors · Measurement of temperature, pressure, velocity, flow strain, force and torque · Use of Vernier caliper, micrometer, dial gauge, slip gauge, sine‑bar and combination set · Production engineering basics: casting, carpentry, welding, introduction to lathe and drilling machines

Unit 3Fluids

Fluid properties: pressure, density, viscosity · Newton’s law of viscosity and Pascal’s law · Bernoulli’s equation for incompressible fluids · Working principles of hydraulic machines, pumps, turbines, and reciprocating pumps

Unit 4Thermodynamics

Thermodynamic system, properties, state, and processes · Zeroth, First and Second laws of thermodynamics · Thermodynamic processes at constant pressure, volume, enthalpy and entropy · Steam engineering: classification and working of boilers, mountings, accessories, efficiency, natural and artificial draught, steam properties and use of steam tables

Unit 5Reciprocating Machines

Working principle of steam engine and compressors · Carnot, Otto, Diesel and Dual cycles – P‑V and T‑S diagrams and efficiencies · Two‑stroke and four‑stroke petrol and diesel engine operation

Unit 1Building Materials & Construction

Stones, bricks, cement, lime, timber types – classification, properties, tests and uses · Laboratory testing of concrete and mortar – workability, compressive strength, mix proportioning, compaction and curing · Concrete mix design – nominal proportions, preparation, compaction techniques and curing methods · Elements of building construction – foundations (conventional spread footings, RCC footings), brick masonry walls, plastering and pointing · Floor and roof construction, doors, windows, lintels and staircases – types and suitability

Unit 2Surveying & Positioning

Introduction to surveying instruments – levels, theodolites, plane tables and related devices · Electronic surveying instruments and total stations · Measurement of distances – conventional chaining and electronic distance measurement (EDM) techniques · Measurement of directions – conventional methods and modern electronic methods · Measurement of elevations – conventional levelling and reciprocal levelling

Unit 3Mapping & Sensing

Mapping procedures – contouring, profile and cross‑section generation, area and volume computation · Application of mapping data in quantity estimation for earth‑works and constructions · Survey stations and control network establishment · Introduction to remote sensing – principles and engineering applications

Unit 4Engineering Mechanics – Forces and Equilibrium

Graphical and analytical treatment of concurrent and non‑concurrent planar forces · Free‑body diagrams, force diagrams and Bow’s notation · Analysis of plane trusses – method of joints and method of sections · Frictional forces in equilibrium problems

Unit 5Centre of Gravity, Moment of Inertia & Structural Analysis

Centroid and centre of gravity of plane and solid bodies · Moment of inertia of area and mass, radius of gyration, product of inertia and principal axes · Support reactions for statically determinate structures · Shear force and bending moment diagrams for cantilever and simply supported beams under concentrated, distributed loads and couples

Unit 1Computer Fundamentals and Operating System

Computer definition, classification, and organization (CPU, registers, bus architecture, instruction set, memory & storage systems, I/O devices, system & application software) · Computer applications in e‑Business, bio‑informatics, health care, remote sensing & GIS, meteorology & climatology, gaming, multimedia and animation · Operating system definition, functions, types, file, process & memory management · Introduction to MS Word, MS PowerPoint, MS Excel

Unit 2Algorithms, Programming Concepts and C++

Introduction to algorithms, complexities and flowcharts · Programming fundamentals, categories of programming languages, program design, programming paradigms, OOP concepts vs procedural programming · Introduction to C++: character set, tokens, precedence & associativity, program structure, data types, variables, operators, expressions, statements, control structures, I/O operations, arrays, functions

Unit 3Object‑Oriented Programming and Data Structures

Objects and classes, scope resolution operator, constructors & destructors, friend functions · Inheritance, polymorphism, function & operator overloading, types of inheritance, virtual functions · Introduction to data structures

Unit 4Computer Networking and Security

Computer networking basics: goals, ISO‑OSI model, layer functions, internetworking concepts, devices, TCP/IP model, Internet, World Wide Web, e‑commerce · Computer security basics: viruses, worms, malware, Trojans, spyware, anti‑spyware, common attacks (money laundering, information theft, cyber pornography, email spoofing, DoS, cyber stalking, logic bombs, hacking, spamming, defamation, pharming) · Security measures: firewalls, computer ethics, good practices, overview of cyber laws and internet fraud

Unit 5Database Management Systems and Cloud Computing

DBMS fundamentals: file‑oriented vs database approach, data models, DBMS architecture, data independence, data dictionary, DBA, primary key, DDL & DML · Cloud computing concepts: definition, cloud infrastructure, service models (IaaS, PaaS, SaaS), deployment models (public, private, community, hybrid)

Unit 1Language Laboratory Sessions

Introducing oneself, family, social roles · Public Speaking and oral skills with emphasis on conversational practice, extempore speech, JAM (Just a minute sessions), describing objects and situations, giving directions, debate, telephonic etiquette · Reading Comprehension: Intensive reading skills, rapid reading, and reading aloud (Reading material to be selected by the teacher) · Write a book review (Standard text to be selected by the teacher) · Role plays: preparation and delivery (topic to be selected by teacher/faculty)