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Syllabus
MATHS I
Mathematics - I (Syllabus)
BS102MT Mathematics - I
Credits 4
Unit-I
Sequences and Series: Sequences, Series, General properties of series, Series of positive terms, Comparison tests, tests of Convergence D’Alembert’s ratio test, Cauchy’s nth root test, Raabe’s test, Logarithmic test, Alternating series, Series of positive and negative terms, Absolute convergence and Conditional convergence.
Unit-II:
Calculus of one Variable: Rolle’s theorem, Lagrange’s, Cauchy’s mean value theorems, Taylor’s series, Curvature, Radius of curvature, Circle of curvature, Envelope of a family of curves, Evolutes and Involutes.
Unit-III
Multivariable Calculus (Differentiation): Functions of two variables, Limits and continuity, Partial derivatives, Total differential and differentiability, Derivatives of composite and implicit functions (Chain rule), Change of variables, Jacobian, Higher order partial derivatives, Taylor’s series of functions of two variables, Maximum and minimum values of functions of two variables, Lagrange’s method of undetermined multipliers.
Unit-IV
Multivariable Calculus (Integration): Double integrals, Change of order of integration, Change of Variables from Cartesian to plane polar coordinates, Triple integrals.
Unit-V
Vector Calculus: Scalar and vector fields, Gradient of a scalar field, Directional derivative, Divergence and Curl of a vector field, Line, Surface and Volume integrals, Green’s theorem in a plane, Gauss’s divergence theorem, Stoke’s theorem (without proofs) and their verification.
Suggested Readings:
1. R.K. Jain & S.R.K Iyengar, Advanced Engineering Mathematics, Narosa Publications, 2014.
2. Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley, 9th Edition, 2012.
3. B.S. Grewal, Higher Engineering Mathematics, Khanna Publications, 43rd Edition, 2014.
4. G.B. Thomas, Maurice Weir and Joel Hass, Thomas’ Calculus, Peterson, 12th Edition,2010.
5. B.V. Ramana, Higher Engineering Mathematics, 23rd reprint, 2015.
BEE
Basic Electrical Engineering (Syllabus)
ES106EE Basic Electrical Engineering
Credits 4
Unit-I
DC Circuits: Electrical circuit elements (R, L and C), voltage and current sources, Kirchoff current and voltage laws, analysis of simple circuits with dc excitation. Superposition, Thevenin and Norton Theorems.
Unit-II
AC Circuits: Representation of sinusoidal waveforms, peak and rms values, phasor representation, real power, reactive power, apparent power, power factor. Analysis of single-phase ac circuits consisting of R, L, C, and RL, RC, RLC combinations (series only). Three phase balanced circuits, voltage and current relations in star and delta connections.
Unit-III
Transformers and 3-ph Induction Motors: Transformers: Electromagnetic induction, Faradays laws, statically induced emf, Lenz law, BH characteristics, ideal and practical transformer, losses and efficiency, Auto-transformer and three-phase transformer connections.
Three Phase Induction motor: Generation of rotating magnetic fields, Construction and working of a three-phase induction motor, squirrel cage IM, slip-ring IM, Applications.
Unit-IV
Single-phase induction motor & DC Machines: Single-phase induction motor: Construction and principle of operation, Capacitor start & capacitor run motor, applications
DC Generators: Dynamically induced emf, Flemming’s Right hand and Left hand rules, Construction and principle of operation of DC generator, EMF equation, Types of DC Generators, OCC characteristics, applications
DC Motors: principle of operation of DC Motor, Types of DC motors, applications.
Unit-V
Electrical Installations: Components of LT 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 Reading:
1. N.K. De, “Basic Electrical Engineering”, Universities Press, 2015.
2. J.B. Gupta, “Fundamentals of Electrical Engineering and Electronics” S.K. Kataria & Sons Publications, 2002.
PHY
Physics (Syllabus)
BS104PH Physics
Credits 4
Unit – I
Crystallography: Introduction, Types of crystal systems, Bravais lattices, Lattiee planes and Miller Indices (Cubic system), Inter planar spacing (Cubic system), Bragg’s law, Powder diffraction method.
Crystal Defects: Classification of point defects, Concentration of Schottky defects in metals and ionic crystals, Concentration of Frankel defects, Line defects, Screw and Edge dislocations, Burger’s vector
Unit – II
Band Theory of Solids & Semiconductors: Classical free electron theory (qualitative), Kronig Penney model (qualitative treatment), Energy band formation in solids, Intrinsic and Extrinsic semiconductors, Concept of a hole, Carrier concentration and conductivity in intrinsic semiconductors, Formation of P-N junction diode and its I – V characteristics, Thermistor and its characteristics, Hall effect and its applications.
Dielectric Materials: Dielectrics, Types of polarizations, Electronic, Ionic, Orientational and Space charge polarizations, Expression for Electronic polarizability, Frequency and temperature dependence of dielectric polarizations, Determination of dielectric constant by capacitance Bridge method, Ferro electricity, Barium titanate, Applications of Ferroelectrics.
Unit – III
Wave Mechanics: Matter waves –de-Broglie wavelength, properties of wave function, Physical significance, Schrodinger time dependent and time in-dependent wave equation. Particle in a 1-D box.
Electromagnetic theory: Basic laws of electricity and magnetism, Maxwell’s equations in integral and differential forms, Conduction and displacement current, Relation between D, E and P –
Electromagnetic waves: Equation of plane wave in free space, Poynting theorem.
Unit – IV
Magnetic Materials: Classification of magnetic materials: dia, para, ferro, antiferro and ferrimagnetic materials, Weiss molecular field theory of ferromagnetism, Magnetic domains, Hysteresis curve, soft and hard magnetic materials, Ferrites: Applications of ferrites.
Superconductivity: Introduction, General properties of super conductors, Meissner effect, Type I and Type II superconductors, BCS theory (qualitative), Introduction to High Tc superconductors, Applications of superconductors.
Unit – V
Lasers: Characteristics of Lasers, spontaneous and stimulated emission of radiation, Einstein’s Coefficients, population inversion, Ruby Laser, Helium Neon Laser, Semi-Conductor Laser and applications of lasers.
Fiber Optics: Introduction, Propagation of light through an optical fiber, Acceptance angle, Numerical aperture (NA), Types of Optical fibers and Refractive index profiles, Fiber drawing process (double Crucible Method), Losses in optical fibers, applications of optical fibers.
Suggested Reading:
1. B.K. Pandey and S. Chaturvedi Engineering Physics Cengage Learning 2012
2. A.K. Bhandhopadhya, Nano Materials, New Age International, 1st Edition, 2007
3. M.S. Avadhanulu and P.G. Kshirusagar, Engg. Physics, S. Chand & Co. 1st Edition, 1992.
4. C.M. Srivastava and C. Srinivasan – Science of Engg Materials, New Age International.
5. R.K Gaur and S.L Gupta- Engineering Physics, Dhanpathrai Publications, New edition.
6. Sanjay D Jain & Girish G Sahasrabudhe -Engineering Physics, University Press
IC_MECH
Indian Constitution (Syllabus)
UNIT-I
Evolution of the Indian Constitution: 1909 Act, 1919 Act and 1935 Act. Constituent Assembly:
Composition and Functions; Fundamental features of the Indian Constitution.
UNIT-II
Union Government: Executive-President, Prime Minister, Council of Minister
State Government: Executive: Governor, Chief Minister, Council of Minister
Local Government: Panchayat Raj Institutions, Urban Government
UNIT-III
Rights and Duties: Fundamental Rights, Directive Principles, Fundamental Duties
UNIT-IV
The relation between Federal and Provincial units: Union-State relations, Administrative, legislative and
Financial, Inter-State council, NITI Ayog, Finance Commission of India.
UNIT-V
Statutory Institutions: Elections-Election Commission of India, National Human Rights Commission,
National Commission for Women