SYLLABUS FOR MECHANICAL ENGINEERING
SEMESTER – I
Physics (Electromagnetism)
Module 1: Electrostatics In Vacuum (8 Lectures) Calculation
Of Electric Field And Electrostatic Potential For A Charge Distribution; Divergence
And Curl Of Electrostatic Field; Laplace’s And Poisson’s Equations For
Electrostatic Potential And Uniqueness Of Their Solution And Connection With
Steady State Diffusion And Thermal Conduction; Practical Examples Like Farady’s
Cage And Coffee-Ring Effect; Boundary Conditions Of Electric Field And
Electrostatic Potential; Method Of Images; Energy Of A Charge Distribution And
Its Expression In Terms Of Electric Field.
Module 2: Electrostatics In A Linear Dielectric Medium (4 Lectures)
Electrostatic Field And Potential Of A Dipole. Bound Charges Due To
Electric Polarization; Electric Displacement; Boundary Conditions On
Displacement; Solving Simple Electrostatics Problems In Presence Of Dielectrics
– Point Charge At The Centre Of A Dielectric Sphere, Charge In Front Of A
Dielectric Slab, Dielectric Slab And Dielectric Sphere In Uniform Electric
Field.
Module 3: Magnetostatics (6 Lectures)
Bio-Savart Law,
Divergence And Curl Of Static Magnetic Field; Vector Potential And Calculating
It For A Given Magnetic Field Using Stokes’ Theorem; The Equation For The
Vector Potential And Its Solution For Given Current Densities.
Module 4: Magnetostatics In A Linear Magnetic Medium (3 Lectures)
Magnetization And Associated Bound Currents; Auxiliary Magnetic
Field; Boundary Conditions On And. Solving For Magnetic Field Due To Simple
Magnets Like A Bar Magnet; Magnetic Susceptibility And Ferromagnetic,
Paramagnetic And Diamagnetic Materials; Qualitative Discussion Of Magnetic
Field In Presence Of Magnetic Materials.
Module 5: Faraday’s
Law (4 Lectures)
Faraday’s Law In Terms Of Emf Produced By Changing Magnetic
Flux; Equivalence Of Sl. Faraday’s Law And Motional Emf; Lenz’s Law;
Electromagnetic Breaking And Its Applications; Differential Form Of Faraday’s
Law Expressing Curl Of Electric Field In Terms Of Time-Derivative Of Magnetic
Field And Calculating Electric Field Due To Changing Magnetic Fields In
Quasi-Static Approximation; Energy Stored In A Magnetic Field.
Module 6: Displacement Current, Magnetic Field Due To Time-Dependent Electric Field And Maxwell’s Equations (5 Lectures)
Continuity
Equation For Current Densities; Modifying Equation For The Curl Of Magnetic
Field To Satisfy Continuity Equation; Displace Current And Magnetic Field
Arising From Timedependent Electric Field; Calculating Magnetic Field Due To
Changing Electric Fields In Quasistatic Approximation. Maxwell’s Equation In
Vacuum And Non-Conducting Medium; Energy In An Electromagnetic Field; Flow Of
Energy And Poynting Vector With Examples. Qualitative Discussion Of Momentum In
Electromagnetic Fields.
Module 7: Electromagnetic Waves (8 Lectures)
The Wave Equation; Plane Electromagnetic
Waves In Vacuum, Their Transverse Nature And Polarization; Relation Between
Electric And Magnetic Fields Of An Electromagnetic Wave; Energy Carried By
Electromagnetic Waves And Examples. Momentum Carried By Electromagnetic Waves
And Resultant Pressure. Reflection And Transmission Of Electromagnetic Waves
From A Nonconducting Medium-Vacuum Interface For Normal Incidence.
Suggested Text Books
MATHEMATICS –I (CALCULUS & LINEAR ALGEBRA )
Module 1: Calculus: (6 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.
Module 2: Calculus: (6 Lectures)
Rolle’s Theorem, Mean Value Theorems, Taylor’s And
Maclaurin Theorems With Remainders; Indeterminate Forms And L'hospital's Rule;
Maxima And Minima.
Module 3: Sequences And Series: (10 Lectures)
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’stheorem.
Module 4: Multivariable Calculus (Differentiation): (8 Lectures)
Limit, Continuity And Partial Derivatives, Directional Derivatives,
Total Derivative; Tangent Plane And Normal Line; Maxima, Minima And Saddle
Points; Method Of Lagrange Multipliers; Gradient, Curl And Divergence.
Module 5: Matrices (10 Lectures)
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, And Orthogonal Transformation
Suggested Text Books
BASIC ELECTRICAL ENGINEERING
Module 1: 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
Module 2: 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. Threephase Balanced Circuits, Voltage And
Current Relations In Star And Deltaconnections.
Module 3: Magnetic Circuits: (4 Lectures) Introduction,
Series And Parallel Magnetic Circuits, Analysis Of Series And Parallel Magnetic
Circuits.
Module 4: Transformers (6 Lectures) Magnetic Materials, Bh
Characteristics, Ideal And Practical Transformer, Emf Equation, Equivalent
Circuit, Losses In Transformers, Regulation And Efficiency. Auto-Transformer
And Three-Phase Transformer Connections.
Module 5: 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.
Module 6: Electrical Installations (6 Lectures) Components
Of Lt Switchgear: Switch Fuse Unit (Sfu), Mcb, Elcb, Mccb, Types Of Wires And
Cables, Earthing. Types Of Batteries, Important
Suggested Text Books
ENGINEERING GRAPHICS & DESIGN
Module 1: 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
Module 2: Orthographic Projections Principles Of Orthographic Projections-Conventions -Projections Of Points And Lines Inclined To Both Planes; Projections Of Planes Inclined Planes - Auxiliary Planes Module 3: Projections Of Regular Solids Thoseinclinedtoboththeplanes-Auxiliaryviews;Draw Simpleannotation, Dimensioning And Scale. Floor Plans That Include: Windows, Doors, And Fixtures Such As Wc, Bath, Sink, Shower, Etc.
Module 4: 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)
Module 5: 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 Viewsand Vice-Versa, Conventions
Module 6: 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]
Module 7: Customisation& 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.
Module 8: Annotations, Layering & 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.
Module
9: Demonstration Of A Simple Team Design Project That Illustrates Geometry And
Topology Of Engineered Components: Creation Of Engineering Models And Their
Presentation In Standard 2d Blueprint Form And As 3d Wire- Frame And Shaded
Solids; Meshed Topologies For Engineering Analysis And Tool- Path 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).