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,

Calculus: (12 Lectures)

Intervals, Convergence of sequences and series of Real numbers, Limit and Continuity of functions, Differentiability of functions, Rolle’s theorem, Mean value theorems, Taylor’s and Maclaurin theorems with remainders; Indeterminate forms and L'Hospital's rule; Maxima and Minima, Riemann integration, Fundamental theorem of calculus.

Calculus: (8 Lectures)

Evolutes and involutes; Evaluation of definite and improper integrals; Beta and Gamma functions and their properties; Applications of definite integrals to evaluate surface areas and volumes of Revolutions.

Series: (Prerequisite 2B) (8 Lectures)

Power series, Taylor's series. Series for exponential, Trigonometric and Logarithmic functions; Fourier series: Half range sine and cosine series, Parseval’s theorem

Matrices (In case vector spaces is to be taught) (14 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.

Matrices (In case vector spaces is to be taught) (8 Lectures)

Matrices, Vectors: Addition and scalar multiplication, Matrix multiplication; Linear systems of equations, Linear independence, Rank of a matrix, Determinants, Cramer’s rule, Inverse of a matrix, Gauss elimination and Gauss-Jordan elimination.

Vector Spaces (Prerequisite 2B) (10 Lectures)

Vector space, Linear dependence of vectors, Basis, Dimension; Linear transformations (maps), Range and kernel of a linear map, Rank and Nullity, Inverse of a linear transformation, Rank- Nullity theorem, Composition of linear maps, Matrix associated with a Linear Map.

Vector Spaces (Prerequisite 2B-C) (10 Lectures)

Eigenvalues, Eigenvectors, Symmetric, Skew-Symmetric and Orthogonal matrices, Eigenbases. Diagonalization; Inner product spaces, Gram-Schmidt Orthogonalization.

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

Vector Mechanics Of Particles (20 Lectures)

Transformation of scalars and vectors under Rotation transformation; Forces in nature; Newton’s laws and its completeness in describing particle motion; Form invariance of Newton’s second law; Solving Newton’s equations of motion in polar coordinates; Problems including constraints and friction; Extension to cylindrical and spherical coordinates; Potential energy function; F = - grad V, Equipotential surfaces and meaning of gradient; Conservative and Non-Conservative forces, Curl of a force field; Central forces; Conservation of angular momentum; Energy equation and energy Diagrams; Elliptical, Parabolic and Hyperbolic orbits; Kepler problem; Application: Satellite Manoeuvres; Noninertial frames of reference; Rotating coordinate system: Five-term acceleration formula. Centripetal and coriolis accelerations; Applications: weather systems, Foucault pendulum; Harmonic oscillator; Damped harmonic motion – Over-Damped, Critically damped and lightly-damped oscillators; Forced oscillations and Resonance.

Planar Rigid Body Mechanics (10 Lectures)

Definition and motion of a rigid body in the plane; Rotation in the plane; Kinematics in a coordinate system rotating and translating in the plane; Angular Momentum about a point of a rigid body in planar motion; Euler’s Laws of motion, Their independence from Newton’s laws, and their necessity in describing rigid body motion; Examples. Introduction to Three-Dimensional rigid body motion — Only need to highlight the distinction from Two-Dimensional motion in terms of (a) angular velocity vector, and its rate of change and (b) moment of inertia tensor; Three-Dimensional motion of a rigid body wherein all points move in a Coplanar manner: e.g. Rod executing conical motion Withcenter of mass fixed — Only need to show that this motion looks Two-Dimensional but is Threedimensional, and Two-Dimensional formulation fails.

Statics (10 Lectures)

Free body Diagrams with examples on modelling of typical supports and joints; Condition for equilibrium in Three- and Two- Dimensions; Friction: Limiting and Non-Limiting cases; Force displacement relationship; Geometric compatibility for small deformations; Illustrations through simple problems on axially loaded members like trusses.

Mechanics Of Solids (30 Lectures)

Concept of stress at a point; Planet stress: Transformation of stresses at a point, Principal stresses and Mohr’s Circle; displacement field; Concept of strain at a point; Plane strain: Transformation of strain at a point, Principal strains and Mohr’s circle; Strain roseoe; Discussion of experimental results on one- Dimensional material behaviour; Concepts of elasticity, Plasticity, strain hardening, Failure (fracture / yielding); Idealization of onedimensional stress-strain curve; generalized Hooke’s Law with and without thermal Strains for isotropic materials; Complete equations of elasticity; Force analysis — Axial force, Shear force, Bending moment and twisting moment diagrams of slender members (without using singularity functions); Torsion of circular shafts and thin-walled tubes (plastic analysis and rectangular shafts not to be discussed); Moment curvature relationship for pure bending of beams with symmetric cross-section; bending stress; Shear stress; Cases of combined stresses; Concept of strain energy; Yield criteria; Deflection due to bendind.