Nagpur University 1st Year Syllabus for Engineering


FIRST YEAR Applied Mathematics-I Section-A


  1. Differential Calculus:


Successive differentiation, Taylor’s and Maclaurin’s series for one variable, Tangents and Normals, subtangent and subnormal (Cartesian form), Curvature and Radius of curvature (Cartesian, Parametric and polar form), centre of curvature (Cartesian form only), L’Hospital’s rule. Maxima and Minima of function of one variable.


Partial differentiation, Function of several variables, first and higher order derivatives, Euler’s theorem, chain rules and total differential co-efficient, Jacobians, Taylor’s and Maclaurin’s series of two variables, Maxima & Minima of function of two variables, Lagrange’s method of undetermined multipliers. Differentiation of definite integrals.

  1. Analytical Trigonometry:


Cartesian and polar forms of complex numbers, D-Moivre’s theorem, hyperbolic functions and their inverse, Logarithm of complex quantities, summation of series.( C + is Method).


  1. Theory of equations:


General properties of polynomial equations, relation between roots & coefficients, transformation of equations, Horner’s method of synthetic division.

  1. Integral Calculus:

Unit V

Beta Gamma functions, Differentiation of definite Integral, Tracing of curves (Cartesian & Polar curves) rectification of simple curves, quadrature, volumes and surface of solids of revolutions (Cartesian, Polar & parametric forms). Theorem of Pappus and Guldin, mean value and root mean square values.

  1. Analytical solid Geometry:

5U.nAitn-ValIy:tical solid Geometry:

Cartesian, cylindrical and spherical system of co-ordinates and their transformations, Detail study of lines of planes in Cartesian system. Shift of origin, projection of segment, projection of plane closed cure, projection of lines and planes. Shortest distance between two lines, Equations of sphere, Right circular cylinder and right circular cone.

Books Recommended:

  1. Plane Trigonometry Part II : S. L. Loni, (S.Chand & Co)
  2. Engg. Mathematics: H.K.Das. (S.Chand & Co)
  3. Higher Algebra: Hall & Knight
  4. Analytical solid Geometry: Shantinarayan. (S.Chand & Co)
  5. Applied mathematics : Ramana murthy Srinivas

Reference Books:

  1. Engineering Mathematics Voll.. II : Shantinarayan(S.Chand & Co)
  2. Mathematics for Engineers: Chandrika Prasad (Prasad Mudranalaya, Allahabad)
  3. Higher Engineering Mathematics: B. S. Grewal (Khanna Publishers, N Delhi)
  4. The text book Applied Mathematics vol. I & II : Prof. D. T. Deshmukh

Applied Mathematics-II Section A


Unit I:

Scalar triple product, vector triple product, quadruple product of vectors. First order first degree differential equation, variable separable, homogeneous reducible to homogeneous, linear, reducible to linear and exact differential equations (excluding the cases of integrating factor).

Unit II:

Linear differential equation with constant coefficients, the operator l/f(D), method of variation of parameters, simple simultaneous diff. equation, homogeneous differential equations, differential equations of the type d[1]y/dx2 = f(Y), Application of differential equations to simple Electrical circuits and Mechanics. (only up to second order)

Unit III:

Differentiation of vectors, Gradient of Scalar point function, directional derivatives, divergence and curl of vector point function, solenoidal motion and irrotational motion.

Vector integration, line, surface and volume integrals, stoke’s theorem, Gauss divergence theorem, Green’s theorem in plane (statement only),Greens identities and their simple applications.

Section B

Unit IV: Finite Differences:

Difference table, operator E and factorials, functions Newton’s forward and backwardinter-polation formula, central differences, stirling’s formula (without proof), Lagrange’s interpolation formula, Numerical differentiation and integration, difference equations with constant coefficients.

Unit V: Statistics and Probability:

Fitting of a straight line Y = a + bx , parabola y = a + bx+cx2, and the curves Y = abx And Y = axb by method of Least square, Linear regression and correlation, rank correlation, Binomial, Poisson and Normal distribution, fitting of these curves.

Unit-VI: Multiple Integrals and Their Applications:

Elementary double integrals, change of variable a (simple transformation), change of order of integration (Cartesian and polar), applications to mass, area, volume and center of gravity (Cartesian & polar form), elementary triple integrals.

Text Books:

  1. Engg. Mathematics:H.K.Das(S.Chand & Co)
  2. Vector analysis: M. R. Spiegel. (McGraw Hill)
  3. Finite Differences: H. C. Saxena(S.Chand & Co).
  4. Applied mathematics: Ramana murthy

Reference Books:

  1. Text book of Engineering Mathematics: Deshpande & Ghangrekar (Asmita Publishers, Nagpur)
  2. Finite Differences: H. C. Saxena (McGraw Hill)
  3. Mathematics for engineers: Chandrika prasad, (Prasad Mudranalaya, Allahabad)
  4. Higher Engineering Mathematics: B. S. Grewal(Khanna Publishers, N Delhi)

Applied Physics

1-2 Unit-I:

The quantum nature of radiation, Photoelectric effect, Compton effect, Wavelike character of particle, Davisson and Germer’s experiment, De Broglie wavelength, Heisenberg’s uncertainty principle, Schrodinger’s wave equation (qualitative aspect),


Crystal structure (s.c., b.c.c. & f.c.c.), Atomic packing, coordination & numbers, Miller indices, Bragg’s law.


Formation of energy bands in solids (energy level approach), classification of solids in conductors, insulators and semiconductors, Energy band diagram for silicon and germanium semiconductors; Fermi energy, Fermi level in intrinsic and extrinsic semiconductors Dependence of fermi level on impurity concentration and temperature, p-n junction, Transistor, Hall effect.


Motion of charged particles in uniform electric and magnetic fields, Thomson’s method for determination of e/m of the electron, electrostatic and magnetostatic focusing (qualitative idea). Elementary ideas of CR.O. and electron microscope, Bainbridge mass spectrograph, cyclotron.

Unit- V:

Spontaneous and stimulated emission of radiation. Coherence, Laser: Working principle, different types and applications, Interference in thin films.


Polarization: Double refraction, production and detection of gap plane, circularly and elliptically polarized light, quarter and half wave plates, Babinet compensator.

Text Books:

  1. A Text Book of Engineering Physics by M.N. Avadhanulu Kshirsagar.(S. Chand & Co.)
  2. Fundamentals of Physics by David Halliday and Robert Resnick.(Jonn Wiley & Co.)
  3. Modern Physics by B.L.Theraja. (S.Chand & Co.)
  4. Lasers theory application by M.N.Avadhanulu.
  5. Modern Engg. Physics by A.S.Vasudeva. (S.Chand & Co.)
  6. Optics by Brijlal and Subramaniam (S.Chand & Co.)
  7. Problems in Physics by M.N.Avadhanulu. (S.Chand & Co.)
  8. Lasers and their application by M. L. Beesley (Tayler and France Ltd.)

Reference Book:

  1. Electronics Engineering Materials and Devices by Allison .
  2. Electronics Devices & Circuits by Milman and Halkias.
  3. Materials Science by Raghawan.
  4. Optics by Ajay Ghatak.(TMH)
  5. Physics I & II by Resnick and Halliday. (Wiley Eastern)
  6. Modern Physics by Sproull (Jonn Wiley & Co.)
  7. Optics by Hecht.
  8. Modern Physics by Richtmayer Kennard.(TMH)
  9. Optics by Brijalal and Subramanium).
  10. Lasers and their application by M. L. Beesley (Tayler and France Ltd.)

Scope of Syllabus III ‘Physics’ For First B. E. (Wherever necessary) 1.     Schrodinger wave Equation:

Derivation not required, Emphasis on physical significance. Application of Schrodinger equation for one dimensional (infinite) potential well.

  1. Crystal structure:

Crystal structure on cubic system (s.c.., b.c.c. and f.c.c.) Number of atoms per unit cell, coordination number. Relation between atomic radius and lattice cell parameters. Packing fraction and density calculation.

  1. P.N. Junction:

Formation, characteristics and application as half wave rectifier only.

  1. Transistor:

Transistor action. Elementary idea of CB & CE configurations. Transistor as an amplifier.

  1. CRO:

Block diagram, Brief description of various blocks. More emphasis on CRT and time base (Circuit details not required). Application for frequency and phase measurement.

  1. Electron Optics:

Electron refraction, Bethe’s Law, Lens action of electric and magnetic field, Electron Microscope.

  1. Interference:

Interference in thin film by reflection. Uniform thickness and wedge shaped film and Newton’s ring. Application of thin film in reflection and antireflection coating.

  1. Lasers:

Concept of three level and four level lasers, Working of Ruby, He-Ne and Semiconductor lasers.

List of Experiments

  1. Determination of e/m of an electron using Thomson’s method.
  2. Determination of e/m of an electron using helical method.
  3. A study of the Hall effect:

(i) Determination of Hall coefficient

(ii)   Determination of the majority carriers and.

(iii)  Determination of the charge carrier density.

  1. A study of dual trace CRO :

(i)  Familiarization

(ii)   Determination of phase difference by direct method.

(iii)  Determination of phase and frequency using Lissajous patterns.

  1. A study of the characteristics of germanium and silicon diodes and their comparison.
  2. A study of the characteristics and verification the stabilizing action of zener diode.
  3. A study of the rectifier and filter characteristics.
  4. A study of the input, output and transfer characteristics of a pnp / npn transistor in common base configuration.
  5. A study of the input, output and transfer characteristics of a pnp / npn transistor in common emitter configuration.
  6. A study of the common emitter amplifier characteristics.
  7. Determination of the wavelength of sodium light using fresnel’s biprism.
  8. Determination of the radius of curvature of a plane-convex lens using Newton’s rings.
  9. Determination of the principle refractive indices of quartz crystal.
  10. Determination of the wavelengths of spectral lines using a plane transmission grating.


Minimum of Ten experiments are to be performed out of which at least two should be from optics.

List of Experiments for Demonstration:

  1. A study of atomic packing and the three cubic unit cells.
  2. Determination of the thickness of a thin foil using wedge.
  3. A study of production and analysis of polarized light.
  4. A study of solar cell characteristics.
  5. A study of interference, diffraction and double refraction by using a laser source.
  6. Familiarization with LDR, LED, Photo cell and Phototransistors.

Applied Physics: Practical

  1. e/m for electron.
  2. C.R.O. and its basic capabilities, measurement of amplitude phase and frequency.
  3. Characteristic of junction diode and its use as rectifier.
  4. Characteristics of transistor.
  5. Photo cell, work function, Detection and measurement of optical radiation
  6. Activation energy of semiconductor.
  7. Band gap determination with reverse biased p-n junction.
  8. Newton’s ring use of thin film interference in micro measurement and surface topography
  9. Rydberg constant determination from hydrogen spectrum.
  10. e and o of birefringent material prism and the study of plane of polarization of ordinary and
  11. extraordinary ray.
  12. Biprism.
  13. Hall effect in p-type and n-type semiconductor, Hall probe and magnetic field measurement
  14. Diffraction Grating.

BOOK: Experiments in Engg.. Physics by M.N.Avadhanulu,Dani,Pakee.

Applied Chemistry (Theory)

1-4 Unit-I: Water Treatment

1. Brief introduction regarding sources, impurities in water.

  1. Hardness of water, types, determination of hardness using EDTA method.
  2. Brief discussion and chemistry involved in the process of sedimentation, coagulation, filtration and sterilization, UV, Ozone, chlorination including break point chlorination.
  3. Softening of Water:

(i)      Lime-soda, process: Principles in hot, cold, lime-soda process.

Problems based On-(a) lime-soda calculation, (b) Zeolite,(c) Hardness of Water by complexometry.

(ii)     Zeolite softener, demineralization by synthetic ion exchange resins,

Comparison between lime-soda, Zeolite and ion exchange process.

  1. Cooling water characteristics and Langelier index.
  2. Boiler Troubles:

Carryover priming, foaming, scales, sludges, caustic embrittlement, boiler corrosion-causes and effects on boiler operation and methods of prevention. External and internal conditioning, i.e. phosphate, carbonate and calgon conditioning, Requirements of feed water for modern high-pressure boilers.

Unit-II: Corrosion of Metals and Alloys

1. Electrochemical corrosion- General revision of concept of electrode potential, galvanic cells, electrochemical and galvanic

series, causes of corrosion, mechanism of direct chemical attack, pilling- Bed worth rule, concentration cells.

  1. Differential aeration theory of corrosion, types of corrosion, pitting corrosion , intergranular stress, waterline and microbial corrosion.
    1. Corrosion prevention :

(a)  Design and material selection,

(b)  Anodic and Cathodic inhibitors,

(c)   Cathodic and Anodic protection,

(d)  Protective coatings- types of surface, coatings and its application.

Unit-III: Cement

  1. Manufacture of Portland Cement- Raw materials, chemical composition proportion and roll of microscopic constituents, cement modulus i.e. lime saturation factor, Silica modulus and alumina factor, dry and wet processes of manufacture.
    1. Setting and hardening of cement.
    2. Types of cement i.e. pozzolanic, white, rapid hardening, high alumina, low heat cement, additives i.e. accelerators, retarders air entrainment and water repellants and their different properties.

Environmental Chemistry and Control of Environmental Pollution:

Earth’s radiation balance, particles, ions and radicals in atmosphere-formation and significance, greenhouse effect, consequences of depletion of ozone layer by human activities, temperature inversion.

Air Pollution:

Natural and man made pollutants, (CO, NOx, HC, SOx, SPM) Acid rain, effect of pollutants on humans, general idea of pollution control techniques, lead free petrol and catalytic converters.

Water Pollution:

Classification of pollutants (organic and inorganic); sediments, insecticides, heat and their effects on humans, methods for waste water treatment-only general idea of preliminary, primary and tertiary treatment techniques, pollution due to paper, sugar, steel and cement industries.

Unit-IV: Fuels

Introduction, calorific value, higher and lower calorific value, determination of calorific value by Bomb calorimeter and Boy’s calorimeter.

Solid Fuels:

Carbonization of coal: Low temperature and high temperature carbonization, manufacture of coke-by otto-Hoffman’s by­product recovery process. Ultimate analysis of coal, its significance, storage of coal, spontaneous, combustion, pulverized coal as fuel.

Liquid Fuels:

Use of gasoline and diesel in internal combustion engine, knocking and chemical constitution, octane number, cetane number, doping agents, Mining & Fractional distillation of crude petroleum (boiling point wise separation only). Fisher- tropsch process for manufacture of synthetic gasoline. Thermal catalytic cracking of petroleum, Aviation petrol.

Gaseous Fuels:

Study of natural gas L.P.G.

Non- conventional energy sources:

Wind energy, solar, tidal waves energy.

Unit-V: Lubricants & Combustion Calculations

1. Introduction, lubrication mechanism, hydrodynamic, boundary and extreme pressure lubrication.

2. Classification of lubricants- solid, semisolid and liquid lubricants, blended oils, synthetic lubricants, lubricating emulsions.

3. Properties of greases, drop point and consistency test, properties of liquid lubricants with more stress on flash point,

viscosity and viscosity index, Aniline point, Cloud & Pour point, criteria of selection of lubricants for specific purposes. Significance of flue gas, analysis by Orsat apparatus, simple combustion calculations.

Unit-VI: Polymers and Plastics as Engineering Materials

  1. Polymer-Definition, classification (on structural aspects only) of polymers, types of polymerization, explanation with examples of addition and condensation polymerization.
    1. Characteristics of polymers, structure and properties of polymers.
    2. Moulding of plastics, thermosetting and thermoplastic resins.
    3. Preparation from monomer, properties and industrial applications of polyethylene, PVC Teflon, polystyrene, Bakelite.
    4. Silicones and their industrial applications.
    5. Natural rubber-structure, preparation and properties, compounding of rubber, vulcanization and uses.
    6. Synthetic rubber- study of SBR, Nitrile rubber, Neoprene, Silicone rubber, polyurethanes properties and uses.
      1. Fiber glass and composite materials, Fiber and glass reinforced plastic-properties and uses, optical fibers a brief idea.

Applied Chemistry Practical Syllabus

The chemistry practical syllabus is proposed to contain, 15 experiments of which a minimum ten should be performed. Six should be performed from Group I and Four from Group-II. In addition to these experiments DEMONSTRATIONS should be carried out of the following experiments. :

  1. Determination of calorific value of a solid fuel using Bomb Calorimeter.
  2. Gas analysis using Orsat Apparatus.

In addition to the above TWO experiments, if time permits, demonstration of any one or more of the following experiments may be undertaken.

(i)                   Determination of PH of water sample by PH meter.

(ii)                 Determination of conductivity and conductometric titration.

(iii)                Determination of Iron by colorimeter.

(iv)               Potentiometric titrations.

  1. If possible, visit to industries should be arranged.


Any TEN experiments out of following should be performed in academic session. Any SIX experiments from group- I and any Four from group-II should be performed


  1. To estimate the amount of ferrous and ferric ions present in the given solution .
  2. Determination of hardness of water by complexometric method.
  3. To estimate the amount of Ni2+ ions in a given solution by complexometric method.
  4. Estimation of free chlorine in the water by iodometry.
  5. Type and extent of alkalinity by Warder’s method.
  6. Determination of dissolved oxygen in a water sample
  7. Removal of Ca2+ by ion-exchange resin.
  8. Determination of C.O.D. in waste Water
  9. Determination of Copper by Iodometry.


  1. Determination of Viscosity of lubricating oil at different temperatures by Redwood Viscometer No.1 or No.2.
  2. Determination of flash point of lubricating oil by two different flash point apparatus close cup or by open cup.
  3. Proximate analysis of coal.
  4. Determination of Al2O 2 and Fe2O3 ratio of cement.
  5. Soponification number of animal/vegetable oil.
  6. Neutralization number of animal/vegetable oil.
  7. Determination of molecular weight of a polymer by viscosity measurements.
  8. Determination of carbon residue of a lubricating oil by Conradson’s Apparatus.
  9. Determination of rate of corrosion by weight loss by corrossometer.

Books Recommended:


Text Books:

  1. A Text Book of Engineering Chemistry by S.S. Dara( S. Chand & Co. New DELHI, 1985, first Edition, 1985).
  2. Engineering Chemistry by P.C. Jain and Monika Jain( Dhanpat Rai & Sons, New Delhi, Fifth Edition).
  3. Engineering Chemistry (volume I &II) by Rajaram and Kuriacose (Tata McGraw Hill Publication).


Text Book on Experiments and Calculation in Engineering Chemistry by S.S. Dara,

(S. Chand & Co. New Delhi).

Reference Rooks:

  1. Engineering Materials by Jastrzebsiki (Tokyo).
  2. Corrosion Engineering by Fontana and Green (McGraw Hill International Book Co. 2nd edition).
  3. Chemistry of Engineering Materials by Robert G.Leighou( McGraw Hill, New York).
  4. Chemistry of Engineering Materials by Loyd A. Munro( Prentice Hall Inc. N.J.).
  5. Chemistry for Engineers by Edward Cartmell by Butterworths, London.
  6. Water treatment for industrial and other uses by Eskel Nordell( Reinhold, New York).
  7. Applied chemistry for engineers by T.S. Gyngell.
  8. Water Treatment by F.I Bilane( Mir Publishers, Moscow).
  9. Elements of Fuel Technology by G.W. Himus( Leonard HilI Ltd., London).
  10. Chemtech Vols I to IV Editor D. Venkateshwarlu, Chemical Development Center IIT Madras, 1979.



  1. 1.     Composition:

Unit I: Exercises of free essay writing with particular emphasis on clear self expression (Free essay of about 400 words on any topic). Unit II: Principles and Practice of letter writing and business correspondence.

Unit III: Technical report writing.

  1. 1.     Grammar:

Unit IV:

  1. Correction of common errors
  2. Exercise on rewrite as directed
  3. Correct use of words, idioms, phrases, prepositions etc.

Unit V:

Principles of public speaking Precis writing

Text Book:


1. English prose for Pleasure and Profit by R.N. Roy

  1. Public speaking and influencing men in business by Dale Carnegie.

Syllabus with Pattern of Question Paper:

(A)                Text for detailed study: English prose for pleasure and profit by R.N. Roy

(B)                 Public speaking and influencing men in business: Dale Carnegie.

Q.1. One question out of two on the essays ( 3, 4, 5,8,9) of R. N. Roy’s text to be answered from.

(10 Marks)

Q.2. One question out of two on essays (10,12,14,15,16) of R. N. Roy’s text from.

(10 Marks)

Q.3. Two out of four questions to be ansered from the following chapters from the book of public speaking (1,2,4,6,7,8,9,11)

(13 Marks)

Q.4. Precis writing of passages outside the text book.    (07 Marks)

Q.5. One letter out of two to be written.       (07 Marks)

Q.6. Technical Report writing (one out of two) .     (08 Marks)

Q.7. One Essay out of four to be written in about 300 words.  (10 Marks)

Q.8. Grammar:

1. Active and passive Voice.

(02 marks)

2. Direct and indirect speech.

(02 marks)

3. Transformation of sentences.

(05 marks)

4. Use of phrases and idoms.

(03 marks)

5. Correction of sentences.

(03 marks)


Text books:

  1. High School English Grammar and Composition by Wren & Martin S. Chand & Co.
  2. Modern English Grammar Usage and Composition by N. Kishnaswamy. The Macmillan
  3. Co. or India Limited.
  4. Professional Communication Skills by P.Bhatia and Sheikh.

Social Sciences


Unit l:

Concept of culture and civilization. Social sciences and its utility, Applied Humanities and Social Engineering.


Development of Human Civilization with specific reference to monumental studies of Engineering skill, Ancient Indian Civilization, Evolution of Indian Civilization during 19th and 20th Century.

Unit III:

Meaning and scope of Industrial Psychology and Industrial Sociology. Fatigue in industry. Selection and Training of workers, Motives for work, Legislative measures for workers welfare.

Unit IV:

Environment in Industry: Internal and External, Emerging industrial culture in India.

Organizational behavioral dynamics: Leadership in Industry.

Unit V:

Indian Constitution and Federal System. Fundamental Rights and Directive principles, Role of bureaucracy in modern Society.

Unit VI:

Concept of industrial democracy, Works organization: power, authority, and status system, formal and informal organization, Industrialization and Urbanization: Study of slums.

Text books:

  1. A New Look in to Social Sciences by Sheikh Shabbir, (S Chand & Co)
  2. A History of World Civilization by J.E.Swain, (Eurasta Publishing House)
  3. Sociology by Rao, (Kitab Mahal Publications)

Reference Books:

  1. Vidya Bhushan & Sachdeva : An Introduction to Sociology Kitab Mahal Publication.
  2. Yogesh Atal : Social Science: The Indian Scene Abhinav Publication, New Delhi.
  3. Rajni Tandon : Applied Humanities, Sterling Publication.
  4. J.E.Swain: A History of World Civilization, Eurasia Publication, New Delhi.
  5. J.M.Roberts: The Hutchinson History of the World, B. T. Publication, Bombay.
  6. Waddell: The Makers of Civilization in Race & History, S. Chand & Co. Ltd.
  7. Mason, Haire: Industrial Social psychology (In Handbook Psychology – VoI.II)
  8. Durga Dass Basu : Introduction to Constitution of India Prentice HalI of India.
  9. Pascual Gisbert SJ. : Fundamentals of Industrial Sociology Tata McGraw Hill.
  10. Schnieder Egnc : Industrial Sociology.
  11. N.R.Sheth: Industrial Sociology in India, Allied Publication, New Delhi.
  12. G. Humans: Juman Group.
  13. Jacobson, H.B. & Roucak, .I .S. : Automations & Society (Edited).

Engineering Mechanics



Unit I:

  1. Important Vector Qu antities:

Position-vector, moment of a force about a point about an axis, couples, couple moment as a free vector.

  1. Equivalent force systems.

Resultant of a 2 dimensional distributed loads and three-dimensional general force system Wrench.

UNIT II Equations of Equilibrium:

(i)   Free body diagrams, Equations of equilibrium coplanar concurrent and Non- concurrent systems, General spatial force system; simple machines (Differential axle and wheel, single and double purchases Crab). Velocity, Ratio, Mechanical advantage, efficiency etc.

Unit III.

(ii)     Application of graphic statistics to reactions of simple supported beams and trusses.

(iii)  Analysis of simple pin jointed frames by method of joints method of sections and graphical methods.

  1. Friction forces:

Law of Coulomb friction, problems involving dry friction, simple applications Like wedges and band brakes.


Unit IV:

  1. Centriods and Moments of Inertia:

Second Moment and products of inertia of plane areas, Moment of inertia of masses. Transfer theorems for moment of inertia


and Product of inertia, Polar moment of inertia, Principal axes, Mohrs circle of inertia.

  1. Introduction of Virtual work theorem:

Principle of Virtual work applied to equilibrium of Mechanisms, simple beam, Pin jointed frames.

  1. Dynamics of a particle:

Unit V:

Rectilinear motion of a particle with constant and variable acceleration. Rectangular components of curvilinear motion Radial and tangential components of acceleration, Kinetics of particle and several interconnected particles. Translation of bodies- force inertia method, D’Alambert’s Principle, work Energy method, (Expressions based on center of mass)

  1. Methods of Momentum:

Unit VI:

Linear impulse momentum, considerations for a system of particles, Consideration of linear momentums, Elastic impact of two bodies, Direct central impact.

Text books:

  1. Engineering Mechanics:R.S.Khurmi
  2. Engineering Mechanics: F. L. Singer
  3. Engineering Mechanics: Askhedkar & Kulkarni

Reference Book:

  1. Engineering Mechanics: Timoshenko & Young
  2. Engineering Mechanics: Bear & Johnstom
  3. Engineering Mechanics: I. H. Shames

Engineering Drawing


Unit I:

1. Use of various drawing instruments, lettering and I.S.I. Standards for drafting.

  1. Plane Geometry:

Construction hand use of various scales, construction of drawing curves such as Parabola, ellipse, hyperbola, involutes, cycloids, spiral and helix, Loci of points on links of simple mechanisms.

Unit II:

Solid Geometry: Methods of orthographic projections, projections on auxiliary planes. Projection of Points, lines and plane.

Unit III:

Projections of simple solids, such as cylinders, cones, prisms and Pyramids with varying position of axes and ground lines.


Section of solids. Development, of plane and curved surfaces.


Interpenetrating of solids such as cylinders, cones and prisms.


Introduction to isometric projections. Blue Print: Reading of blue prints such as building plan, machines etc.


Each Candidate shall submit a set of sketches, drawing sheets based on the above syllabus.

Text books:

  1. Engg. Drawing by R.K.Dhawan
  2. Fundamentals of Engg. Drawing by Warren Luz.
  3. A text book of Engg. Drawing by N.D.Bhatt.

Electrical Engineering

1 – 9

Unit I: Electric circuits:

Circuits Elements (R,L,C), Kirchhofs Laws, Superposition Theorem, Voltage source, (definition, characteristics, of practical source, equivalent current source)Star-Delta transformation.

Magnetic Circuits:

Flux, mmf, reluctance, analogous electric circuits, simple calculations for composit magnetic circuits.

Unit II: A. C. Circuits:

Periodic functions, average & rms values, Steady state behavior with sinusoidal, excitation, phasor representation, reactance and impedance, series and parallel a.c. circuits, resonance, power in a.c. circuits, power factor, principle of generation of single phase & Three phase voltages. Power in Balanced three phase AC systems.

Unit III: Electrical Measurement:

Definitions of indicating, integrating and recording instruments, deflecting controlling and damping mechanisms. Ammeters and voltmeters of permanent magnet moving coil type and moving iron type, electrodynamometer type Wattmeters, Induction type single phase energy meter.

Unit IV: Transformers:

Introduction, basic principles, construction, phasor diagram for transformer under no load and transformer on load, Balance of mmf on two sides, phasor diagram, equivalent Circuit, loses, efficiency, regulation, Open-circuit & short-circuit tests. Unit V: Rotating Electrical Machines:

D. C. Machines:

Introduction, construction, EMF & Torque equation, classification, self excitation of d.c. shunt generators, EMF voltage, current relations in Generator and motor. Characteristics, starting and speed control of d.c. motors.

Unit-VI: Three phase induction motor:

Construction, rotating field, synchronous speed, Rotor current, torque Principle of Single phase Capacitor Start motor.

Note: The scope of the topics will be as contained in the Reference book.

Text Books:

  1. A text book of electrical technology Vol. I&II by B.L.Theraja ( M/s S.Chand & Co., W. Delhi 1959).
  2. Principle of Electrical Engineering by B.R.Gupta (M/s S.Chand & Co., N. Delhi 1985).


Elements of Electrical Science by P. Mukhopadhyaya et. al-Nem Chand & Bros. Roorkee – 7 published in 1989.

Practical Work:

Based on above course.

Text book for Practical Work:

A text Book on Laboratory Course in Electrical Engineering by S.G. Tarnekar & P.K. Kharbanda, M/s.S. Chand & Co., NEW DELHI 1980.

Workshop Practice

1 – 10

  1. Carpentry:

Identifying some common types of timber and their engineering application, Names and uses of Carpenter’s Tools Various types of wood working joints and their application. (2 jobs).

  1. Smithy:

Use of various tools and equipments in Smithy shops Demonstration of various operations and their applications. Operation of the hearth and various other hand and power forging equipments. (1 job).

  1. Fitting:

Use of fitting tools, equipment and measurement instruments, Practice in the method of making and use of measuring instruments, Chipping, filing, drilling, tapping scraping operation practice. (1 job)

  1. Welding:

Name and uses of gas and electric welding, tools and equipment; gas and electric welding, operation practice. (1 job)

  1. Hand Tool:

Use and handling of common hand tools.

Text Books:

  1. Text book of Workshop Technology by R.S.Khurmi and J. Gupta (S. Chand & Co. Ltd.)
  2. Elements of Workshop Technology Vol-I & Vol-II by Hazra Choudhari (Media PROMO. &PUB. PVT)
  3. Course in Workshop Technology BY B.S.Raghuwanshi (Dhanpat Rai &Sons).
  4. Workshop Technology by H.S.Bawa (McGraw Hill)

B.E. III Semester Electronics & Telecommunication Engineering Applied Mathematics-III



Laplace Transforms: Laplace transforms and their simple properties, simple applications for Laplace transform to solve ordinary differential equations including simultaneous equations, solution of one-dimensional partial differential equations by transforms method.


Complex Variables: Analytic function, Cauchy-Riemann conditions, conjugate functions, singularities, Cauchy’s integral theorem and integral formula (statement only), Taylor’s and Laurent’s theorem (statement only), Residue theorem, contour integration. UNIT-III:

Calculus of Variations: Maxima and Minima of functions, variation and its properties Euler’s equation, functional dependent on first and second order derivatives, simple applications.


Fourier series and Signal Spectra: Introduction, the Fourier theorem, Evaluation of Fourier coefficients, consideration of symmetry, (odd, even, and rotational), exponential form: Fourier series, Fourier integral theorem, Fourier transform and continuous spectra.


Partial Differential Equation: Partial Differential Equation of first order first degree i.e. Langrage’s form, Linear, homogeneous p.d.e. of nth order with constant coefficient, method of separation of variables. Application to transmission lines.


Matrices: Inverse of matrix by adjoint method and its use in solving simultaneous equations, rank of a matrix , consistency of system of equation, Inverse of matrix by partitioning method.Linear dependence, Linear and orthogonal transformations. Characteristics equations, eigen values and eigen vectors. Reduction to diagonal form, Cayley- Hamilton Theorem (without proof) statement and verification, Sylvester’s theorem, Association of matrices with linear differential equation of second order with constant coefficient. Determination of largest eigen value and eigen vector by iteration method.

Text Books:

1. Advance Engineering Mathematics: Kreyszing.

  1. Higher Engineering Mathematics: B.S. Grewal
  2. Linear Network Theory by Kelkar, Pandit (for Unit No. 4)

Reference Books :

1. Mathematics for Engineers: Chandrika Prasad.

  1. Advanced Mathematics for Engineers: Chandrika Prasad.
  2. Applied Mathematics for Engineers: L.A. Pipes and Harville.
  3. A text Book of Applied Mathematics: P.N. and J.N. Wartikar.

B.E. III Semester Electronics & Telecommunication Engineering Electronics Devices and Circuits



Semiconductor Diodes and Power Supplies: Intrinsic and extrinsic semiconductors, P-N junction diode, open circuited junction, Forward and reverse bias, V-I characteristics, dynamic resistance, temperature dependence, junction capacitance. Avalanche and zener breakdown, Schottkey diode, photodiode, LEDs, LCD, Varactor diode, Tunnel diode. Power supplies, Halfwave & Fullwave Rectifiers, Voltage doublers, filters, ripple-factor. Zener & Emitter follower type and series regulators.


Junction Transistors: Theory of operation, static characteristics, Break down voltages, current voltage power limitations, Biasing of BJT different biasing arrangements, stability factor. Thermal runaway, Power transistors.


BJT Analysis: Small signal analysis CE, CB, CC amplifiers and comparison. High frequency analysis calculation of frequency response, gain bandwidth product.


Power Amplifiers: Classification A, B, AB, C classes efficiency, Push Pull configuration (A, B, AB) complimentrary symmetry, second harmonic and cross over distortion.


Positive and Negative Feedback Amplifiers: Feedback amplifiers, classification, Practical circuits applications, and advantages. Oscillators, Stability, Barkhausen Kriterion RC, LC & Crystal Oscillators.


FET And Its Analysis: Field effect transistor & MOSFET, Principal of Operation & characteristic, biasing arrangement, small signal analysis of CG, CD, CS High frequency analysis.

Text Books:

1. Milman and Halkias: Integrated Electronics, McGraw Hill.

  1. Milman and Halkias: Electron Devices and Circuits, McGraw Hill.

Reference books:

  1. Schilling & Beloove: Electronics circuits-Discrete & integrated (McGraw Hill)
  2. Bapat: Theory & problems in circuit analysis (McGraw Hill)
  3. Carr: Electronic Devices (Tata Mc-Graw Hill)

Practical List:

1. Diode Characteristics.

  1. CE amplifier characteristics
  2. FET & MOSFET characteristics.
  3. Half wave, fullwave rectifiers with & without filters.
  4. EF type regulator.
  5. RC phase shift oscillator.
  6. Push-pull amplifier.
  7. Voltage series feedback amplifier frequency response.
  8. Voltage doubler.

10. Zener regulator

Nagpur University 1st Year Syllabus for Engineering

[1]    Determination of the band gap in a semiconductor using a p-n junction diode in reverse bias condition.

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