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Detail Syllabus of First and Second SemesterAMC 11101Mathematics I 3–1–0Calculus-Iuccessive differentiation of one variable and Leibnitz theorem, Taylor’s and Maclaurin’s expansion of functions of single variable, Functions of several variables, partial derivatives, Euler’s theorem, derivatives of composite and implicit functions, total derivatives, Jacobian’s, Taylor’s and Maclaurin’s expansion of functions of several variables, Maxima and minima of functions of several variables, Lagrange’s method of undetermined multipliers, Curvature and asymptotes, concavity, convexity and point of inflection, Curve tracing.Calculus-II: Improper integrals, convergence of improper integrals, test of convergence, Beta and Gamma functions and its properties, Differentiation under integral sign, differentiation of integrals with constant and variable limits, Leibinitz rule. Evaluation of double integrals, Change of order of integrations, change of coordinates, evaluation of area using double integrals, Evaluation of triple integrals, change of coordinates, evaluation of volumes of solids and curved surfaces using double and triple integrals. Mass, center of gravity, moment of inertia and product of inertia of two and three-dimensional bodies and principal axes.Trigonometry of Complex Number, 3D Geometry and Algebra: Function of complex arguments, Hyperbolic functions and summation of trigonometrical series.3D Geometry: Cones, cylinders and conicoids, Central conicoids, normals and conjugate diameters.Algebra: Convergency and divergency of Infinite series. Comparison test, D’ Alembert’s Ratio test, Raabe’s test, logarithmic test, Cauchy’s root test, Alternating series, Leibinitz test, absolute and conditional convergence, power series, uniform convergence.AMC 12101Mathematics I I 3–1–0Vector Calculus: Scalar and vector fields, Level surfaces, differentiation of vectors, Directionalderivatives, gradient, divergence and curl and their physical meaning, vector operators and expansion formulae, Line, surface and volume integrations, Theorems of Green, Stokes and Gauss, Application of vector calculus in engineering problems, orthogonal curvilinear coordinates, expressions of gradient, divergence and curl in curvilinear coordinates.Fourier Series: Periodic functions, Euler’s formulae, Dirichlet’s conditions, expansion of even and odd functions, half range Fourier series, Perseval’s formula, complex form of Fourier series.Matrix Theory: Orthogonal, Hermitian, skew- Hermitian and unitary matrices, Elementary row and column transformations, rank and consistency conditions and solution of simultaneous equations, linear dependence and consistency conditions and solution of simultaneous equations, linear dependence and independence of vectors, Linear and orthogonal transformations, Eigen values and Eigen vectors, properties of Eigen values, Cayley-Hamilton theorem, reduction to normal forms, quadratic forms, reduction of quadratic forms to canonical forms, index, signature,Matrix calculus & its applications in solving differential equations.Differential Equations: Differential Equations of first order and higher degree, Linear independence and dependence of functions. Higher order differential equations with constant coefficient, Rules of finding C.F. and P.I., Method of variation of parameter Cauchy and Legendre’s linear equations, Simultaneous linear equations with constant coefficients, Linear differential equations of second order with variable coefficients; Removal of first derivative (Normal form), Change of independent varaiable, Applications of higher order differential equations in solution of engineering problems.Partial Differential equations: Formation of P.D.E, Equations solvable by direct integration,Linear and non-linear equations of first order, Lagrange’s equations, and Charpit’s method,Homogeneous and non-homogeneous linear P.D.E. with constant coefficients, Rules for finding C.F. & P.I.AP Physics 3–1–0Thermal physics: Concepts of distribution of molecular velocities, Distribution laws and statistics MB, FD and BE, mean free path; Transport phenomena-viscosity, diffusion; thermal conductivity, measurement of thermal conductivity; periodic and a periodic flow of heat; Wiedemann-Franz law. Heat radiation, black body and black body radiation, Planck’s distribution law and its application to classical distribution (Rayleigh-Jeans and Wiens) and total radiation (Stefan-Boltzmann) laws.Modern Physics: Brief idea of molecular spectra, Rigid rotator, spectra of simple molecules, rotation and rotationvibration spectra, Brief idea of wave pocket and wave function, Shrodinger equation, Particle in a Box, Free electron theory; qualitative idea of band theory of solids and Hall effect, Laser and laser systems (He-Ne and Ruby Lasers).Electromagnetics : Maxwell’s field equation, Equation of electromagnetic field, Propagation of electromagnetic waves in different isotropic media, energy of electromagnetic waves, Poynting’s theorem & Poynting’s vector, Rocks and minerals as dielectrics, electrical conductivity and electrical phenomena in rocks, Piezo-, ferro-, tribo-, and pyro-electricity.AC Chemistry 3–1–0Phase Rule and phase equilibrium diagram: Phase rule; degree of freedom, one and two component systems, temperature and composition diagrams, liquid-liquid and liquid-solid phase diagramsElectrochemistry: Electric potentials at interfaces, electrodes, batteries, electrochemical cells and their applications.Organic Chemistry: Basis Organic Chemistry , Isomerism and Stereomers , Name ReactionsInorganic Chemistry: Coordination Compounds and Isomerism , SpectroscopyME Engineering Graphics 1–3–0Drawing instruments and their uses, Indian standards for drawing, Lettering, Types of lines used in engineering graphics: full lines hidden lines, dimension lines, centerlines, section lines construction lines etc.Scales: representative fractions, reducing and enlarging scales, plain scales, diagonal scales and vernier scales. Curves used in engineering practice: conic sections, ellipse, parabola, hyperbola, cycloid, epicycloids, hypocycloid, involutes and spiral.Orthographic projections: First angle and third angle projections, conventions used, orthographic projections of simple solids; Conversion of three-dimensional views to orthographic views.Isometric projections: of simple solids, isometric views, conversion of orthographic views to isometric views; free hand sketching.MME Manufacturing Process 1–3–0Forging: Introduction to Forging, types of tools and their uses, colour representations of different temperature levels, recrystallisation, workability of metals at elevated temperature, safety rules.Casting: Introduction to foundry, Pattern making, types of casting processes, purpose of runner & riser, applications of casting, defects in casting.Fitting: Introduction to fitting jobs, fitting tools and their uses, safety rules.Welding: Welding types, accessories, weldments, safety rules.Machine Tools: Types of tools, Types of Machine Tools and their specifications, safety rules.Measurement: Use of vernier etc for product measurement.EE Electrical Technology 3–1–0Network Theorems (KCL, KVL, Thevenin, Norton, Maximum power transfer) applied to steadystate DC circuit, Single-phase AC circuits and phasor diagrams,series and parallel resonance, Three-phase AC circuits with balanced and unbalanced loads, phasor presentation, measurement of three-phase power by two-wattmeter method.Single-phase transformer: Construction, types, EMF equation, equivalent circuit, phasor diagram, regulation, efficiency, OC and SC tests.DC Machines: Construction, types, principle of operation, EMF and torque equation.DC generator: OCC and external characteristic curves and efficiency.DC motors: speed-torque characteristics, starting, 3- point starter, speed control and efficiency.Three-phase induction motor: Construction, types, principle of operation, torque-slip characteristics,starting methods. Introduction to three-phase synchoronous motor.EAI Electronics Engineering 3–1–0Semiconductorodes and Applications – Introduction Characteristics, dc and ac resistances of a Diode. Half wave and Full wave Rectification. Zener Diodes and then use as regulators, Clippers and Clampers.Bipolar junction Transistor - Introduction, Transistor Operator CB, CE and CC configuration, dc biasing, Operating point, Fixed biased Circuit, Emitter –Stablized Bias Circuit, Voltage Divider Bias.BJT Transistor – Amplification in ac domain, Equivalent transistor model. Hybrid Equivalent model, RC coupled amplifier and its frequency response.Operational Amplifiers – introduction, Differential and Common Mode Operation, OPAMP Basics, Practical OPMAP Circuits. Introduction to field effect transistors and their applications.Digital Electronics – Review of Basic Gates and Boolean algebra, Introduction to Combinational Logic Design, Standard Representations of Logical functions and their Simplification, Combinational Logic Design, Half Adder and Full Adders.Sequential Circuits – Flip flops S-R, J-K and D Application in Ripple Counters.MEMME Engineering Mechanics 3–1–0Fundamentals of Mechanics: Equivalent force system, Equation of equilibrium, Introduction to Structural Mechanics: Force analysis of Frames, Trusses, Shear force, Bending moment analysis of Beams.Friction force analysis: Laws, Sliding and Rolling friction, Screw Jack, Wedge, Belt friction, Collar frictionProperties of surfaces: First moment of area and the centroid, Second moment and product of area, Transfer theorem, Polar moment of inertia.Kinematics of particles: Velocity and acceleration calculations, Relative motion.Particle dynamics: Rectilinear translation, Rectangular and cylindrical coordinates.Linear momentum and moment of momentum: Impulse and momentum relations for a particle, Moment of momentum equation for a single particle and for a system of particles.Introduction to kinematics and kinetics of rigid bodies. Mechanical vibration of single degree of freedom system.HSS11101 English for Science and Technology 3–1–0Language Resource Development: Using appropriate grammatical lexical forms to express meaning-accuracy, range and appropriacy grammatical lexical exercises. Reading, Interpreting and Using Written, and Graphic Information : Using (reading and writing) academic texts, articles in technical journals, instruction manuals/laboratory instruction sheets, safety manuals and regulations, and reports; Using maps, graphs, plan diagrams, flow-charts, sketches, tabulated and statistical data.Writing Appropriately in a Range of Rhetorical Styles i.e. Formal and Informal: Writing instructions, describing objects and processes; defining, narrating, classifying exemplifying, comparing, contrasting, hypothesizing, predicting, concluding, generalizing restating, and reporting; Note making (from books/journals); Writing assignments; summarizing, expanding, paraphrasing; Answering examination questions; Correspondence skills; Interpreting, expressing and negotiating meaning; Creating coherent written tests according to the conventions. Receiving and Interpreting the Spoken Word : Listening to lectures and speeches, listening to discussions and explanations in tutorials; Note taking (from lectures); Interacting orally in academic, professional and social situation; Understanding interlocutor, creating coherent discourse, and taking appropriate turns in conversation; Negotiating meanings with others (in class room, workshop, laboratory, seminar, conference, discussion, interview etc.)AGL & CME Earth System Science 3–0–0AGL ( 2 0 0 )Space Science: Solar System, Age of the Earth, Origin Of Solar System. Meteors and Meteorites.Earth Dynamics : Interior of the Earth, Composition of the Earth, Seismic Waves, Seismograph,Plate Tectonics, Basics of Earthquake, Landslides, Volcanoes. Geological Oceanography : Sea waves, Tides, Ocean Current, Geological Work of seas and Oceans, Tsunami and its Causes, Warning system and mitigationHydrogeology : Water table, Aquifer, Groundwater fluctuation and groundwater composition.Practicals:AP Physics 0–0–3Measurement of thermal conductivity of bad conductors, Optical experiments on Diffractionusing diffracting grating. Experiments on Semi-conductors – measurement of band gap and Halleffect Experiments using He-Ne Laser – Diffraction Experiments to measure Brewster’s angle &find refractive index.AC Chemistry 0–0–3List of Experiments1. Standards of HCl by Standard Sodium Carbonate solution.2. Determination of Temporary Hardness of Tap Water.3. Estimation of Total Hardness of water.4. Determination of Iron in Ferrous Ammonium Sulphate solution (Redox titration).5. Determination of Copper in crystallized Copper Sulphate.6. Estimation of available Chlorine in Bleaching Powder.7. Determination of Molecular Weight of Organic Acid by Titration method.8. Estimation of Sodium Carbonate and bicarbonate in a mixture.9. To determine the saponification number of an oil.1210. To determine the rate of hydrolysis of methyl/ ethyl acetate.11. To prepare Chrome Alum.EE Electrical Technology 0–0–3Experiments on Thevenin’s theorem, R-L-C Series circuit, Single phase power measurement,Characteristics of fluorescent lamp and incandescent lamp, OC and SC tests of single phasetransformer, Open-circuit characteristics of DC separately excited generator, externalcharacteristics of separately excited DC generator, 3 point starter of DC shunt motor, Speedcontrol of DC motor.EAI Electronics Engineering 0–0–31. Study of Electronic Equipment & Components.2. Study of diode characteristics.3. Study of regulated power supply.4. Study of BJT characteristics.5. Study of op-amp characteristics.6. Implementation of Boolean algebra using Logic gates.7. Adder Circuits