Syllabus for Mechanical Engineerin g Prescribed by University Of

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Syllabus for Mechanical Engineerin g Prescribed by University Of

    Syllabus for Mechanical Engineering Prescribed by University Of Mumbai SYLLABUS FOR FIRST YEAR ENGINEERING (FOR ALL BRANCHES)


    I) Applied Mathematics I

    1. Complex numbers

    ; Idea of Argand diagram (Problems based on Geometry are not expected)

    Cartesian, Polar and Exponential form of complex number.

    ; De‟Moivre‟s theorem (without proof), Power and roots of exponential and

    trigonometric functions

    ; Hyperbolic and logarithmic functions, inverse trigonometric functions.

    ; Separation of real and imaginary parts of all types of functions 2. Vector algebra and vector calculus

    ; Vector triple product (proof is not expected), product of 4 vectors.

    ; Differentiation of a vector functions of a single scalar variable. Proofs of

    theorems on derivatives of sum and product are not expected.

    ; Curves in space, Serret Frenet formulae (without proof), curvature, torsion,

    osculating plane, normal plane and rectifying plane.

    3. Mean value theorems

    ; Rolles theorem, Lagrange‟s and Cauchy‟s mean value theorem (Proofs are not

    expected but

    ; geometrical interpretations are expected)

    ; Taylor‟s and Maclaurin‟s theorem (without proof), Taylor‟s and Maclaurin‟s


    4. Differential calculus

    ; Successive differentiation of nth derivatives of function such as (ax+b)m,

    (ax+b)-1, , sin(ax+b), cos(ax+b), log (ax+b), sin (bx+c), cos (bx+c)

    ; Leibniz theorem (without proof), Expansions of power series, indeterminate

    forms and L‟ Hospital rule.

    5. Partial differentiation

    ; Partial derivatives of first and higher order, total differentials, composite

    functions and implicit functions

    ; Euler‟s theorem on homogeneous functions with two and three independent

    variables (with proof), deductions from Euler‟s theorem.

    ; Errors and approximations, Maxima & minima of a function of two variables

    Recommended Books

    1. Higher Engineering Mathematics Dr. B.S. Grewal, Khanna Publications

    2. A text book of Applied Mathematics P.N. & J.N. Wartikar, Pune Vidyarthi


    3. Advanced Engineering Mathematics Erurin Kreyszing, Wiley Eastern Ltd.

    4. Engineering Mathematics-I - G.V. Kumbhojkar, C. Jamanadas & Co.

    5. Applied Mathematics-I - Dr. B.V. Jungam, K.P. Patil, Mrs. N.M.Kumthekar,

    Nandu Publications.

    II) Applied Science I

    Section I Applied Physics

    1. Solid State Physics

    ; Crystal structure: structure of cubic crystals, special form in cubic crystals,

    diamond structure, Barium Titanate Miller indices, planes & directions, Legacy

    and critical radius ratio in tonic crystals.

    ; Formation of energy brands and classification of solids, conductor,

    semiconductor, insulator, Physics of semiconductor junctions, (bipolar) photo


    2. Sound Waves

    ; Audible, ultrasonic and infrasonic waves propogation, piezo-electric effect,

    principles of ultrasonic transducers and oscillations, production of ultrasonic

    waves, echo sounding, thickness measurement, cavitation and non-destructive

    testing and flow detection.

    3. Electricity and Magnetism:

    ; Motion of charges, particles in electric and magnetic fields, magnetic and

    electro-static focusing system and its use in CRO, use of CRO for measuring

    amplitude of D.C. and A.C., voltage and phase difference between two A.C.

    sinusoidal voltages

    4. Quantum Physics:

    ; Introduction to wave nature of particles, De Broglie waves

    Section II - Applied Chemistry

    5. Water and its Treatment

    ; Introduction to hard and soft water

    ; Hardness: types, units, estimation be EDTA method, numericals, understanding

    effect of hard water in various industries.

    ; Softening of water

    ; Lime-soda process, Zeolite - Permutit method, ion exchange method,

    comparison of methods, numerical problems based on lime-soda and Zeolite


    6. High polymers & elastomers:

    ; Introduction & definition of polymers and elastomers

    ; Classification of polymers: homopolymer & copolymer, linear branched and

    cross linked, organic and inorganic

    ; Types of polymerization: addition (e.g. polyethylene, polypropelene),

    condensation 9 e.g. phenol formaldehyde, urea formaldehyde, urea


    ; Plastics: classification (thermoplastic and thermosetting), compounding of

    plastics, fabrication of plastics - compression, extrusion, transfer and injection

    moulding, industrial applications.

    ; Rubber structure Cis and trans isomer, properties and drawbacks,

    vulcanization - mechanism, agents, advantages, effects on properties, synthetic

    rubber manufacture, properties and uses of polyurethane, silicon rubber.

    7. Pollution and pollution control:

    ; Definition of pollution and pollutant

    ; Introduction to atmospheric pollution: nature of atmospheric pollutants and

    their effect, methods of reducing atmospheric pollution in brief

    ; Introduction to water pollution: nature of water pollutants and their effect,

    methods of reducing water pollution in brief

    8. Introduction to lubricants:

    ; Definition of lubricants, lubrication, purpose of lubrication

    ; Classification of lubricants with examples: solid, semi-solid, liquid, blended,


    ; Mechanism of lubrication thick film, thin film and extreme lubrication

    ; Properties of ideal lubricant (definition and significance) viscosity, viscosity

    index, flash and fire point, cloud and pour point, saponification value, acid value,

    numerical problems on saponification value and acid value

    Recommended Books:

    1. Concept of Modern Physics Arthur Beiser, Tata McGraw Hill

    2. Engineering Physics R.K. gaur and S.L.Gupta, Dhanpat Rai Publishing Co.

    3. Modern Physics J.B. Rajam, S. Chand & Co.

    o Engineering Chemistry Jain & Jain, Dhanpat Rai Publishing Co.

    5. A Text Book of Engineering Chemistry M.M. Uppal, Khanna Publishers

    6. Environmental Chemistry B.K. Sharma, Goel Publishing House

III) Engineering Mechanics

    Section I - Statics

    1. System of coplanar forces:

    ; Resultant of (i) Concurrent forces, (ii) Parallel forces and (iii) Non-concurrent

    non parallel system of forces. Moment of force about any point, couples,

    Varignon‟s theorem, Distributed forces in plane.

    2. Equilibrium of System of coplanar forces:

    ; Conditions of equilibrium for (i) Concurrent forces, (ii) Parallel forces, (iii) Non-

    concurrent non-parallel (general) system of forces and couples.

    ; Types of supports, determination of reactions at supports for various types

    of determinate structures (with/without internal hinge)

    ; Centroids of plane areas. Center of gravity of wires bent into different shapes.

    ; Analysis of determinate pin jointed plane frames by method of joint and method of


    3. Forces in space:

    ; Resultant of (i) Concurrent forces, (ii) Parallel forces & (iii) General force system.

    Moment of a force about a point, finding scalar and vector components of the

    force & the moment of the force about an axis.

    4. Friction:

    ; Laws of friction, Cone of friction, Equilibrium of bodies on inclined plane,

    Application to problems involving wedges and ladders, Screw and belt

    friction-only simple type involving tension on both side of pulley to be covered. 5. Principle of virtual work:

    ; Equilibrium of an ideal system, Applications to link systems with single degree of

    freedom only.

    Section II - Dynamics

    6. Kinematics of particle:

    ; Rectilinear motion, acceleration time and velocity time graphs & their uses.

    ; Velocity and acceleration in terms of rectangular co-ordinate system. Motion

    along plane curved path, tangential & normal components of acceleration,

    projectile motion, simple harmonic motion.

    7. Kinematics of rigid bodies: Relative velocity, translation, pure rotation & plane motion of rigid bodies, link mechanism, instantaneous center of rotation for the

     velocity & velocity diagrams for bodies in plane motion.

    8. Kinetics of particles & kinetics of rigid bodies:

    ; D‟Alembert‟s principle, equation of dynamic equilibrium, linear motion,

    curvilinear motion.

    ; Area moment of inertia, parallel axis theorem, perpendicular axis theorem, mass

    moment of inertia about centroidal axis and about any other axis. D‟Alembert‟s

    principle for bodies under rotational motion about a fixed axis and plane motion.

    Application to motion of bars, cylinders, spheres only.

    ; Linear momentum, impulse momentum, principle of conservation of momentum,

    impact of solid bodies, elastic impact, semi-elastic impact and plastic impact,

    work done by a force, potential and kinetic energy and power work-energy

    equation, principle of conservation of energy.

    Recommended Books

    1. R.C. Hibbeler - Engineering Mechanics, Mac Millan

    2. B.N. Thadani - Engineering Mechanics, Weinall Book Corporation. 3. Beer & Johanson - Engineering Mechanics, Tata McGraw Hill

    4. Kumar - Engg. Mechanics, Tata McGraw Hill.

    5. S. Junarkar - Engineering Mechanics, Charotar Publishing House. 6. Tayal - Engineering Mechanics, Umesh Publication.

    7. Mecklin & Nelson - Engineering Mechanics, McGraw Hill.

    8. Mariam - Engineering Mechanics, Join Wiley.

    9. S.Rajasekaran & G. Sankarasubramanian - Fundamentals of Engg. Mechanics, Vikas Publishing House.

    10. F.L.Singer - Engineering Mechanics, Harper & Row Publishers.

    IV) Basic Electrical & Electronics Engineering

    1. Units of work, power and energy, Ohm‟s law, effect of temperature on

    resistance, series and parallel circuits, lead acid battery construction and


    2. AC fundamentals: sinusoidal voltage and current waveforms, RMS and average

    value of various waveforms, form factor, crest factor, frequency, R-L, R-C and

    R-L-C, 1-phase series circuit (with resonance), parallel circuit (with resonance).

    Statement of relation for line current, phase voltage and power in three-phase

    circuits for a balanced three-phase load.

    3. Elementary network theorems (for DC circuits only), star-delta transformations,

    superpositions theorem, Thevenin‟s and Norton‟s theorem, maximum power

    transfer theorem.

    4. Principle and working of single-phase transformer, emf equation, voltage and

    current ratio of an ideal transformer. Determination of efficiency and regulation

    by direct loading.

    5.General principles and working of electrical motors and generators: DC series and shunt machine, I-f induction motor.

    6. P-N junction diode as rectifier (half wave and full wave), introduction to filters, light emitting diodes (LED)

    7. Principle and working of bipolar junction transistor (BJT and FET) and its use as

an amplifier.

    8. SCR characteristics and its applications for single phase converter and inverter circuits. (Numerical problems not expected).

    9. Transducers: Classification of transducers, study of transducers like displacement, temperature, and pressure transducers, flowmeters, LVDT, microphones, loud-speakers (Numerical problems not expected).

    10. Basic principles of measurement of electrical quantities. Voltmeters, ammeters, wattmeter, multi-meter, and power supplies (Numerical problems not expected).

    Recommended Books

    1. Vincent Del-torro - Principles of Electrical Engineering, Prentice Hall Pvt.Ltd. 2. R.K. Sugandhi & K.K. Sugandhi - Thyristor theory & applications, Willey

    Eastern Ltd.

    3.Sawhney A.K.- A course in Electrical & Electronic Measurements & Instrumentation, Dhanpat Rai & Sons.

    4.I.J. Nagrath & D.P. Kothari - Electrical Machines, Tata McGraw Hill Ltd. 5.Allen Mottershead - Electronic Devices & Circuits - An Introduction, Prentice Hall India Pvt. Ltd.

    V) Computer Programming-I

    1. Fundamentals of UNIX:

    ; Multi-user System: Logging in and passwords, Electronic mail, Time for UNIX. ; UNIX file system: Files and Directories, Subdirectories and Path names,

    searching the tree for files

    ; File utilities: Ownership and access to files, Make simple text files, Basic

    editing techniques, Print files

    ; File and data processing utilities: Searching for patterns, Rearranging file,

    structures, Sorting a file, Relational files.

    2. Structured Programming:

    ; C Fundamentals.

     Character set, Identifiers and Keywords, Data Types, Constants, Variables and Arrays, Declarations, Operators & Expressions, Library functions, Statements, Symbolic Constants, Preprocessor directives

; Data Input and Output

    getchar(), putchar(),scanf(),print(),gets(),puts()fuctions ; Control Statements

    If-else, while, do-while, go-to, for statements nested control structures, switch,

    break, continue statements comma operator

    ; Functions

    Function prototypes, passing arguments to a function by value, recursion

    storage classes, automatic, External, static, register variables in single file


    ; Arrays

    Defining - processing array, passing arrays to functions, introduction to

    multidimensional arrays, arrays and strings.

    ; Pointers

    Declarations, Referencing and de-referencing, passing pointers to functions,

    pointer to array. (No reference to dynamic memory allocation) ; Structures and Unions

    Defining and processing a structure

    Recommended Books

    1. Programming in C - Balagurusamy, Tata McGraw Hill

    2. A structured Programming approach using C - Behrouz Forouzan, Thomas


    3. UNIX training guide - Clifford Mould, Wheeler Publications 4. Programming in C - Schuam out line series

    5. Let us C - Yashwant Kanetkar, BPB Publications

    6. Practical C programming - O‟Reilly Algorithms with C - O‟Reilly

    7. Internet for everyone - A Leon, Leon Techworld


    I) Applied Mathematics - II

    1 Beta and Gamma Functions:

    ; Beta and Gamma Functions with properties (without proof).

    ; Relation between Beta and Gamma functions, Duplication formula (with proof) 2 Differentiation under integral sign with constant limits of integration 3 Integral calculus:

    ; Rectification of plane curves

    ; Double and triple integration. Idea of Jacobian for evaluating integrals with

    transformation (Theorems and problems on Jacobian are not expected)

    ; Geometrical interpretation and evaluation by change of order and change to polar


    ; Application of double and triple integral to area, mass and volume 4 Differential equations:

    ; First order and first degree exact differential equation and those which can be

    reduced to exact by use of integrating factor (only four rules of I.F. and I.F. by


    ; Linear differential equation and equations reducible to linear equation.

    ; Linear differential equations of higher order with constant coefficients.

    Complementary functions. Particular integrals for the equations of the type f (D) y

    axax= X where X = e, xm, Sin (ax+b), Cos (ax+b), eV, x.V where V is a function of x

    (Derivations of P.I. are not expected)

    ; Leagendre differential equation. Cauchy‟s linear homogeneous equation and

    ; Variation of parameter methods and method of undetermined coefficients.

    ; Standard curves: straight line, circle, parabola, ellipse, hyperbola, rectangular

    hyperbola, catenary, semicubical parabola, cissoid, lemniscate, astroid, hypocloid,

    222 cycloid, cardioide and ay = x (a-x), 9ay2 = (x-2a) (x-5a)

    Recommended Books:

    ; Higher Engineering Mathematics - Dr.B.S.Grewal, Khanna Publications

    ; A text book of Applied Mathematics - P.N. & J.N. Wartikar, Pune Vidyarthi Griha

; Advanced Engineering Mathematics - Erurin Kreyszing, Wiley Eastern Ltd.

    ; Engineering Mathematics-I -G.V. Kumbhojkar, C. Jamanadas & Co. ; Applied Mathematics-I - Dr.B.V. Jungam, K.P.Patil, Mrs. N.M.Kumthekar, Nandu


II) Applied Science II

    Section-I: Applied Physics

    1. Optics:

    ; wedge shaped film, Newton‟s rings, Interference: coherence, interference in thin film,

    qualitative explanation of Cornu‟s fringes for Finding strains and stresses in bent


    ; Diffraction Fraunhoffer‟s diffraction at single slit, double slit, diffraction at N

    parallel slits, diffraction grating, resolving power. ; Principles and working of optical fibres.

    2. X-rays:

    ; rays, properties of X-rays, Production of X-rays (Coolidge tube), origin of X-

    Mosseley‟s law, X-ray diffraction, Bragg‟s law (with Derivation), Bragg‟s X-ray

    spectrometer and determination of crystal structure. Laser: 3.

    ; population inversion, pumping Spontaneous and stimulated (induced) emission,

    device and active system.

    ; The Ruby laser, H-N laser and CO2 laser, semiconductor laser, Applications of ee


    Nuclear Physics:4.

    ; Radiation detectors, ionization chamber, G.M. “Counter” nuclear reactions, fission,

    nuclear reactors fusion,

    Section-II: Applied Chemistry

    5 Corrosion and its control:

    ; Introduction: definition, electrochemical theory of corrosion, factors influencing

     rate of corrosion.

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