DC Circuits ( 8 Lectures )

Electrical Circuit elements (R, L and C), Voltage and Current sources, Kirchhoff current and voltage Laws, Analysis of simple circuits with DC excitation. Star-Delta conversion, Network theorems (Superposition, Thevenin, Norton and Maximum power transfer theorems). Time-domain analysis of first order RL and RC circuits

AC Circuits ( 8 Lectures )

Representation of sinusoidal waveforms, Peak, rms and Average values (Form factor and Peak factor), Impedance of series and parallel circuit, Phasor representation, Real Power, Reactive Power, Apparent Power, Power Factor, Power Triangle. 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

Magnetic Circuits ( 4 Lectures )

Introduction, Series and Parallel Magnetic circuits, Analysis of Series and Parallel magnetic circuits.                                            

Transformers ( 6 Lectures )

Magnetic Materials, B-H characteristics, Ideal and Practical Transformer, EMF equation, Equivalent Circuit, Losses in transformers, Regulation and efficiency. Auto-transformer and Three-Phase Transformer connections.

Electrical Machines (10 Lectures )

Construction, Working, Torque-Speed characteristic and speed control of separately excited DC Motor. Generation of rotating Magnetic Fields, Construction and working of a ThreePhase induction Motor, Significance of Torque-Slip characteristic. Loss components and efficiency, Starting and speed control of induction Motor. Construction and working of synchronous Generators.

Electrical Installations ( 6 Lectures )

Components of L-t 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 books

1. D. P. KOTHARI AND I. J. NAGRATH, “BASIC ELECTRICAL ENGINEERING”, TATA MCGRAW HILL, 2010.
2. D. C. KULSHRESHTHA, “BASIC ELECTRICAL ENGINEERING”, MCGRAW HILL, 2009.
3. L. S. BOBROW, “FUNDAMENTALS OF ELECTRICAL ENGINEERING”, OXFORD UNIVERSITY PRESS, 2011.
4. BASIC ELECTRICAL ENGINEERING BY FITZERALD,

Matrices (10 Lectures )

ALGEBRA OF MATRICES, INVERSE AND RANK OF A MATRIX, RANK-NULLITY THEOREM; SYSTEM OF LINEAR EQUATIONS; SYMMETRIC, SKEW-SYMMETRIC AND ORTHOGONAL MATRICES; DETERMINANTS; EIGENVALUES AND EIGENVECTORS; DIAGONALIZATION OF MATRICES; CAYLEY-HAMILTON THEOREM, ORTHOGONAL TRANSFORMATION AND QUADRATIC TO CANONICAL FORMS.

Numerical Methods-I ( 10 Lectures )

SOLUTION OF POLYNOMIAL AND TRANSCENDENTAL EQUATIONS – BISECTION METHOD, NEWTON-RAPHSON METHOD AND REGULA-FALSI METHOD. FINITE DIFFERENCES, INTERPOLATION USING NEWTON’S FORWARD AND BACKWARD DIFFERENCE FORMULAE. CENTRAL DIFFERENCE INTERPOLATION: GAUSS’S FORWARD AND BACKWARD FORMULAE. NUMERICAL INTEGRATION: TRAPEZOIDAL RULE AND SIMPSON’S 1/3RD AND 3/8 RULES.

Numerical Methods-II ( 10 Lectures )

ORDINARY DIFFERENTIAL EQUATIONS: TAYLOR’S SERIES, EULER AND MODIFIED EULER’S METHODS. RUNGE- KUTTA METHOD OF FOURTH ORDER FOR SOLVING FIRST AND SECOND ORDER EQUATIONS. MILNE’S AND ADAM’S PREDICATOR-CORRECTOR METHODS. PARTIAL DIFFERENTIAL EQUATIONS: FINITE DIFFERENCE SOLUTION TWO DIMENSIONAL LAPLACE EQUATION AND POISSON EQUATION, IMPLICIT AND EXPLICIT METHODS FOR ONE DIMENSIONAL HEAT EQUATION (BENDER-SCHMIDT AND CRANK-NICHOLSON METHODS), FINITE DIFFERENCE EXPLICIT METHOD FOR WAVE EQUATION.

Transform Calculus ( 10 Lectures )

LAPLACE TRANSFORM, PROPERTIES OF LAPLACE TRANSFORM, LAPLACE TRANSFORM OF PERIODIC FUNCTIONS. FINDING INVERSE LAPLACE TRANSFORM BY DIFFERENT METHODS, CONVOLUTION THEOREM. EVALUATION OF INTEGRALS BY LAPLACE TRANSFORM, SOLVING ODES AND PDES BY LAPLACE TRANSFORM METHOD. FOURIER TRANSFORMS.

Traditional Engineering Graphics

Principles of Engineering Graphics; Orthographic Projection; Descriptive Geometry; Drawing Principles; Isometric Projection; surface Development; Perspective; Reading a Drawing; Sectional Views; Dimensioning & Tolerances; True Length, Angle; Intersection, Shortest Distance

Engineering Graphics Software; Spatial Transformations; Orthographic Projections; Model viewing; Co-ordinate systems; Multi-view projection; Exploded assembly; Model viewing; Animation; Spatial manipulation; Surface Modelling; sSlid Modelling, Introduction to Building Information Modelling (BIM).

Introduction to Engineering Drawing

Principles of Engineering Graphics and their significance, Usage of Drawing Instruments, Lettering, Conic sections including the rectangular Hyperbola (General method only); Cycloid, Epicycloid, Hypocycloid and Involute; Scales – Plain, Diagonal and Vernier Scales

Orthographic projections

principles of orthographic projections- Conventions-Projections of points and Lines inclined to both Planes, projections of planes inclined planes Auxiliary Planes.

Projections of Regular Solids

Those inclined to both the Planes-Auxiliary views, Draw simple Annotation, Dimensioning and scale floor plains that include: Windows, Doors and Fixtures such as WC, Bath, Sink, Shower, etc.

Sections and Sectional views of Right Angular Solids

Covering, Prism, Cylinder, Pyramid, Cone – Auxiliary views; Development of surfaces of Right Regular Solids- Prism, Pyramid, cylinder and Cone; Draw the sectional Orthographic views of Geometrical Solids, Objects from industry and Dwellings ( Foundation to Slab only )

Isometric Projections

Principles of Isometric projection – Isometric Scale, Isometric views, Conventions; Isometric views of Lines, Planes, Simple and compound solids; Conversion of isometric views to Orthographic views and vice-versa, Conventions

Overview of Computer Graphics

Listing the computer Technologies that impact on Graphical Communication, Demonstrating knowledge of the theory of CAD Software [ such as: The Menu system, Toolbars ( Standard, Object properties, Draw, Modify and Dimension), Drawing Area ( Background, Crosshairs, Coordinate system ), dialog boxes and windows, Shortcut menus (Button bars), The command line (where applicable ), The status bar, Different methods of zoom as used in CAD, Select and erase objects. Isometric views of Lines, Planes, Simple and Compound Solids ]

Customisation and CAD Drawing

Consisting of set up of the drawing page and the printer, Including scale settings, Setting up of units and Drawing Limits; ISO and ANSI Standards for coordinate Dimensioning and Tolerancing; Orthographic constraints, Snap to objects manually and automatically; Producing drawings by using various coordinate input entry methods to draw straight lines, Applying various ways of Drawing Circles.

Annotaions, Layering and Other Functions

Covering applying Dimensions to objects, Applying annotations to drawings; Setting up and use of layers, Layers to create drawings, Create, Edit and use customized layers; Changing line lengths through modifying existing lines ( extend/lengthen ); Printing documents to paper using the print command; Orthographic projection techniques; Drawing sectional views of composite right regular geometric solids and project the true shape of the sectioned surface; Drawing annotation, Computer-Aided Design ( CAD ) software modeling of parts and assemblies. Parametric and Non-Parametric solid, Surface, and Wireframe models. Part editing and Two-Dimensional documentation of models. Planar projection theory, Including sketching of perspective, Isometric, Multiview, Auxiliary and section views. Spatial visualization exercises. Dimensioning guidelines, Tolerancing techniques; Dimensioning and scale multi views of Dwelling.

Demonstration of a sample Team Design project that Illustrates

Geometry and Topology of Engineered Components: Creation of Engineering models and their presentation in standard 2-D Blueprint form and as 3-D wireframe and shaded solids; Meshed Topologies for Engineering Analysis and Toolpath Generation for Component Manufacture; Geometric Dimensioning and Tolerancing; Use of solid-modeling software for creating associative models at the component and assembly levels. Floor plans that include: Windows, Doors, and Fixtures such as WC, Bath, Sink, Shower, etc. Applying colour coding according to building drawing practice; Drawing sectional elevation showing foundation to ceiling; Introduction to Building Information Modelling ( BIM ).

1.BHATT N.D., PANCHAL V.M. & INGLE P.R., (2014), ENGINEERING DRAWING, CHAROTAR PUBLISHING HOUSE
2. SHAH, M.B. &RANA B.C. (2008), ENGINEERING DRAWING AND COMPUTER GRAPHICS, PEARSON EDUCATION
3. AGRAWAL B. & AGRAWAL C. M. (2012), ENGINEERING GRAPHICS, TMH PUBLICATION
4. NARAYANA, K.L. & P KANNAIAH (2008), TEXT BOOK ON ENGINEERING DRAWING, SCITECHPUBLISHERS

Waves ( 3 Lectures )

Mechanical and electrical Simple Harmonic Oscillators, Damped Harmonic Oscillator, Forced mechanical and Electrical oscillators, Impedance, Steady State motion of forced Damped Harmonic Oscillator

NON-DISPERSIVE TRANSVERSE AND LONGITUDINAL WAVES (4 LECTURES)

Transverse wave on a string, The wave equation on a string, Harmonic waves, Reflection and transmission of waves at a boundary, Impedance matching, Standing waves and their Eigen Frequencies, Longitudinal waves and the wave equation for them, Acoustics waves

LIGHT AND OPTICS (3 LECTURES)

Light as an Electromagnetic wave and Fresnel equations, Reflectance and transmittance, Brewster’s angle, Total internal reflection, and evanescent wave. Mirrors and lenses and optical instruments based on them

WAVE OPTICS (5 LECTURES)

Huygen's Principle, Superposition of waves and interference of light by wavefront splitting and amplitude Splitting; Young’s double slit experiment, Newton’s rings, Michelson interferometer, Mach Zehnder 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 power

LASERS ( 5 Lectures )

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 Lasers (Ruby, Neodymium), Dye Lasers; Properties of Laser Beams: Mono-Chromaticity

INTRODUCTION TO QUANTUM MECHANICS (5 LECTURES)

Wave nature of particles, Time-Dependent and Time-Independent Schrodinger equation for wave function, Born interpretation, Probability current, Expectation values, Free-particle wave function and wave-packets, Uncertainty principle

SOLUTION OF WAVE EQUATION (6 LECTURES)

Solution of Stationary-State Schrodinger equation for One Dimensional problems–particle in a box, Particle in attractive Delta-function potential, Square-well potential, Linear Harmonic oscillator. scattering from a potential Barrier and Tunneling; Related examples like Alpha- decay, Field-ionization and scanning tunneling Microscope, Tunneling in semiconductor structures. Three Dimensional problems: Particle in three Dimensional box and related examples..

INTRODUCTION TO SOLIDS AND SEMICONDUCTORS (9 LECTURES)

Free electron theory of metals, Fermi level, Density of states in 1, 2 and 3 Dimensions, Bloch’s theorem for particles in a periodic potential, Kronigpenney model and origin of energy bands.Types of electronic materials: Metals, Semiconductors, and Insulators. Intrinsic and extrinsic semiconductors, Dependence of fermi level on carrier concentration and temperature (equilibrium carrier statistics), Carrier generation and recombination, Carrier transport: Diffusion and Drift, P-N Junction.