.SCHEME OF EXAMINATION FOR B.E. FIRST YEAR ( All Branches of Engineering ) ( SEMESTER – I )
New Pattern 2012-13 onwards
1. Applied Mathematics – I
2. Engineering Physics
3. Engineering Chemistry
4. Basic Electrical Engineering
5 Basic Civil Engineering
7. Communication Skills
8. Computational Skills
Engineering and Technology, R.T.M. Nagpur University, Nagpur.
Syllabus for B.E. (First Semester)
Applied Mathematics – I (BESI-1)
(Total Credits: 05)
UNIT- I: Differential Calculus: (12 Hrs)
Successive Differentiation, Taylor‟s & Maclaurin‟s series for one variable, indeterminate forms, Curvature and Radius of curvature, Circle of Curvature.
UNIT- II: Partial Differentiation: (12 Hrs)
Functions of several variables, First and Higher order derivatives, Euler‟s theorem , Chain rule and total differential coefficient, Jaccobians, Taylor‟s & Maclaurin‟s series for two variables, Maxima & Minima of functions of two variables, Langrage‟s method of undetermined multipliers.
UNIT - III: Matrices (06 Hrs)
Matrix, Inverse of Matrix by adjoint method, Inverse by Partitioning method, Solution of system of linear equations, Rank of Matrix, Consistency of linear system of equations
UNIT - IV: First Order Differential Equations (10 Hrs)
First order& first degree differential equations: Linear, Reducible to linear & Exact differential equations (excluding the case of I. F.). First order& higher degree differential equations. Application of First order& first degree differential equations to simple electrical circuits
UNIT - V: Higher Order Differential Equations (14 Hrs)
Higher order differential equations with constant coefficients, P. I. by method of Variation of parameters, Cauchy„s & Legendres‟s homogeneous differential equations, Simultaneous differential equations, Differential equations of the type ........... .Applications of differential equations to Oscillations of a Spring, Oscillatory Electrical Circuits, Deflection of Beams.
UNIT - VI: Complex Numbers (06 Hrs)
Cartesian & Polar forms of Complex Numbers, Geometrical representation of fundamental operations on complex numbers, De Moivre‟s theorem, Hyperbolic functions and their inverse, Logarithm of complex number, Separation of real and imaginary parts.
Engineering Physics (BESI-2T )
(Total Credits: 03)
Unit - I: Quantum Mechanics (10 Hrs)
Plank‟s Hypothesis, Properties of Photons, Compton Effect ,Wave – particle duality, De-Broglie
Hypothesis, Matter Waves ,Davisson - Germer Experiment; Bohr‟s Quantization condition. Unit - II: Wave Packet & Wave Equations (10 Hrs)
Concept of Group and phase velocities, Wave packet, Heisenberg‟s uncertainty principle, Thought
experiment on single slit electron diffraction, Wave function and its probability interpretation,
Schrödinger‟s Time dependent & time independent equations, Solution of Schrödinger‟s equation
for one dimensional infinite potential well, Barrier Tunneling
Unit - III: Crystal Structure (08 Hrs)
Crystal structure, Meaning of lattice and basis, Unit cell: primitive and non primitive unit cell; Cubic
crystal structure: Body and Face centered cubic structures, SC, BCC and FCC unit cells. Unit cell
characteristics: Effective number of atoms per unit cell, atomic radius, nearest neighbor distance,
coordination number, atomic packing fraction, void space, density; Crystal planes and Miller indices,
Inter-planar distance between adjacent planes, Bragg‟s law of X-ray diffraction, Tetrahedral and
Unit - IV: Semiconductor Physics (12 Hrs)
Qualitative idea on the formation of electron energy bands in solids, Band-theory based
classification of solids into insulators, semiconductors and conductors, Fermi-Dirac distribution
Function, Intrinsic semiconductors: Germanium and silicon; Fermi- energy, Typical energy band
diagram of an intrinsic semi-conductor, Doping and Extrinsic semiconductors, Current conduction in
semiconductors. PN- junction diode; Unbiased, Forward baised & Reverse biased mode with Energy band diagram reference, Diode rectifier equation, Bipolar Transistor action, Hall effect, Hall coefficient & Hall Angle, V-I characteristics of i) Tunnel diode, ii) Zener diode iii) LED.
Engineering Chemistry (BESI-3T)
(Total Credits: 03)
Unit 1 Water Technology
Hardness of water and types of hardness Domestic water treatment: Brief discussion of coagulation and sterilization using UV. Ozone, chlorine, Break point chlorination.Softening of water-principle, reactions, advantages, limitations and Comparison of – Lime-Soda process, Zeolite process, and de-mineralization process.Boiler Troubles-(causes, effect on boiler operation and methods of prevention) – Carry over-priming and foaming; Scales and sludges, caustic embrittlement, boiler corrosion; internal conditioningphosphate, carbonate, calgon conditioning. Numericals based on lime-soda and Zeolite process. Desalination-using electro dialysis and reverse osmosis processes.Waste water treatment (introduction and importance) – Brief idea about tertiary treatment methods.
Unit – II: Corrosion Science (10 Hrs)
Introduction, Causes and Consequence of corrosion, brief idea about electrochemical & galvanic series, Factors influencing corrosion) Nature of metal b) Nature of environment, Chemical and electrochemical corrosion, Mechanisms of electrochemical corrosion; Pilling Bed worth rule; Differential aeration theory of corrosion.Types of Corrosion – Pitting, inter granular, stress, waterline and galvanic corrosion.Corrosion Prevention – a) Design and material selection b) Cathodic and anodic protection, c) Protective surface coatings- tinning, galvanizing and powder coating, metal cladding and electroplating.
Unit – III: Construction Materials (08 Hrs)
Cement: Portland cement – Raw material, Dry and wet process of manufacture, Proportion and role of microscopic constituents, Additives of cement ,Setting and hardening of cement; heat of hydration, soundness; Types of cement ( characteristics & applications ) – White, High alumina, Low heat ,Rapid hardening cement, Ready Mix Concrete, fly ash as cementing material( properties, advantages, limitations & application)
Unit – IV: Green Chemistry and Battery Technology (10 Hrs)
Green Chemistry: Introduction, Principles and significance, industrial application (supercritical fluids as Solvents, Example-super critical CO2 ), Biocatalysis and concept of carbon credits.Battery Technology: Types of batteries, primary, secondary and reverse batteries, important definition-energy density, power density.a) Secondary Battery: Lithium ion, Nickel-Cadmium b) Fuel cell application, advantages and limitation (Example: Alkaline fuel Cell).
Basic Electrical Engineering (BESI- 4T)
(Total Credits: 03)
Unit – I: Electric Circuits (10Hrs)
EMF, Potential difference, current, power, Energy (Definition & Units SI), Ohms Law, types of sources (Current & Voltage), Ideal and Practical Sources (Independent Sources only), Source Conversion, Superposition theorem with DC source. Circuit element resistance, factors affecting resistance, series & parallel combination of resistances, Kirchhoff‟s Laws (KVL, KCL) statement & Numerical, star Delta transformation, Circuit Element Inductance, Self and Mutual Inductance, Circuit Element Capacitance.
Unit – II: Magnetic Circuits (8Hrs)
Types of Magnetic Materials, flux, flux density, flux intensity, MMF, reluctance, permanence, permeability, analogous electric circuit, calculation for composite magnetic circuit, concept of leakage flux and fringing, B-H curve, phenomena of magnetic hysteresis.
Unit - III: AC Circuits (12Hrs)
Generation of single phase voltage, average and RMS value for sinusoidal waveform, periodic function, phasor representation of sinusoidal electrical quantities, steady state behavior of RLC circuit with excitation, reactance, impedance, power and energy in AC circuit, simple numerical on series and parallel AC circuit, concept and importance of power factor, resonance in series circuits. Principal of Generation of three phase voltage, Phase sequence, Star & Delta Connected three phase system, Voltage, Current & Power relations for Balanced three phase system only (With numericals ).
Unit – IV :Single Phase Transformer (10Hrs)
Basic construction of Transformer (core & shell type), Principle of operation, EMF equation, Transformer ratings, No load & On load operation with leakage reactance, losses, efficiency, Definition & formula for voltage regulation, OC & SC test, equivalent circuit of the Transformer.
Basics of Civil Engineering (BESI-5T)
Total Credits: 03
Unit –I: (10 Hrs)
Introduction to Civil Engineering Introduction and scope of Civil Engineering. Role of Engineers in the infrastructure development.General concepts related to building.Selection of site, basic functions of buildings, types of buildings – Residential, Public, Commercial, and Industrial. Principles of planning, orientation of buildings, introduction to bye-laws regarding building line,Height of building, open space requirement, F.S.I., Carpet area, built up area, setbacks, ventilation.Components of Buildings Introduction to Types of loads on buildings.Substructure – Types of soils; rocks and foundation strata, concept of bearing capacity, Types of foundation and their suitability.Superstructure –Types of construction: Load Bearing, Framed, and Composite.Building Materials Introduction to basic construction materials; cement, bricks, stone, aggregates, reinforcing steel, structural glazing, structural steel; Concrete types: PCC, RCC, Prestressed, Precast and Ready Mix Concrete.Use of various eco- friendly materials in construction.
Unit – II: (10 Hrs)
Surveying Various types of maps and their uses; Introduction to digital mapping; Principles of survey.Introduction to various survey instruments such as EDM, Lasers, Total Station, and digitalplanimeter. Modern survey methods. Introduction to GIS, GPS and their applications. Transportation Engineering Role of transportation in national development; Various modes of Transportation.Classification of Highways: Expressways, NH, SH, MDR, ODR, VR; Types of Pavements, Traffic Signs, signals, Parking system, and Causes of Accidents.
Unit –III: (10 Hrs)
Environment and Natural Resource Management Water supply - Sources, drinking water requirements, impurities in water and their effects; Purification of water, modern purification processes; Standards of purified water.Waste Management: Collection and Disposal methods of Liquid, solid and gaseous wastes. Water Resources Engineering Introduction to Hydraulic structures of storage; water conveyance systems; Watershed management: Definition, Necessity and methods; Roof top rain water harvesting and Ground water recharge: relevance and methods.
Unit –IV: (10 Hrs)
Instrumentation in Civil Engineering Structures: Various Instruments used in construction, water resources, Environmental Engineering, Foundation Engineering, Thermocouples, condition monitoring equipments, Half Cell Potentiometers, Strain Gauges. Management of Utilities using telemetry & SCADA System. Sustainable Development:Role of Engineers in Sustainable Development. Concept of green buildings and LEED Certification
(Total Credits: 03)
UNIT – I: (08 Hrs)
Introduction to Engg. Drawing & Curves used in Engineering Practice Introduction , Use of various drawing instruments, lettering, Layout of drawing sheets, sizes of drawing sheets, different types of lines used in drawing practice, Dimensioning – linear, angular, aligned system, unidirectional system, parallel dimensioning, chain dimensioning, location dimension and size dimension. Introduction to scales & scale factor (RF).Conic sections - Ellipse, Parabola, Hyperbola, (No Directrix – Focus Method), Cycloid, Involute & Archimedean Spiral.Basics of Orthographic Projections Basic principles of orthographic projection, reference planes, concepts of four quadrants, methods of orthographic projections – First angle projections, Third angle projections, conventions used to represent methods of orthographic projection. Projections of Points and Lines Projections of points in all possible positions w.r.t. reference planes, projections of lines when it is perpendicular to one of the reference planes, when line is inclined to one & parallel to other reference plane, lines inclined to both reference planes. (Lines in First Quadrant Only), simple problems on straight lines.
UNIT – II (08 Hrs)
Projections of Planes Projection of planes when it is parallel to one of the reference planes, lying in reference plane, when it is perpendicular to one & inclined to other reference plane, when it is inclined to both reference planes. Use of Auxiliary Plane method for solving the problems. Projections of Solids Projections of solids when axis is perpendicular to one of the reference planes , when axis is inclined to one & parallel to other reference plane, when axis is inclined to both the reference planes, projections of cube, right regular prisms, right regular pyramids, right circular cylinder, right circular cone, tetrahedron.
UNIT – III (07 Hrs)
Orthographic Projections Conversion of pictorial view into orthographic views.
UNIT – IV ( 07 Hrs)
Isometric Projections Definition of Isometric view/projection, Isometric scale to draw Isometric projection, Non-Isometric lines, construction of Isometric view from given orthographic views and to construct Isometric view of combined two simple solids (axes vertical & coinciding) such as Cube, Pyramid, Prism, Cone, Cylinder & Sphere.
(NOTE – ONLY FIRST ANGLE METHOD OF PROJECTIONS SHOULD BE USED)
Communication Skill (BESI-7)
(Total Credits: 02)
Following points are to be covered while demonstration of Communication Skill Practicals:
a) Practical and practice of letter writing: Business, Job and Bank Correspondence.
b) Technical Report Writing.
c) Grammar: 1. Correction of Common Error 2. Exercise on rewrite as directed 3. Correct use of words, idioms, phrases, prepositions etc.
d) 1. Principles of Public Speaking 2. Reading Comprehension
e) 1. Professional Communication Skill (Meaning, Significance, Types, Dimensions & Barriers) 2. Group Discussion (GD) and Personal Interview (PI) (Importance of GD, Modules of GD, How to prepare for GD; Meaning, Types & Techniques of PI, How to prepare for PI)
Computational Skills (BESI-8)
(Total Credits: 02)
Practical Slot – 1:
Fundamentals of Computers and Operating System
1) To demonstrate the internal structure of Computer, its assembly, use of each I/O device and ports.
2) To demonstrate the use of System Software like: Windows Operating System, Linux Operating System.
3) To explain about “C” language Complier options and C++ language overview.
Practical Slot – 2:
Fundamentals of “C” language
1) To demonstrate all types of operators ( Arithmetic, Logical and Relational ) of “C” language.
2) To demonstrate different data types in “C” language.
3) To demonstrate the use of “printf” and “scanf” with all possible options.
Practical Slot – 3:
Fundamentals of Decision Control Structures
1) To demonstrate the use of if-else structure, nested if structure.
2) To demonstrate the use of Conditional operators (? Operator ).
3) To demonstrate the use of Switch.Case construct.
Practical Slot – 4: Fundamentals of Loop Control Structures
1) To demonstrate the use of “while” control structure.
2) To demonstrate the use of “do..while” control structure.
3) To demonstrate the use of “for” control structure.
4) To demonstrate the use of “break” and “continue” construct.
Practical Slot – 5 and 6:
Fundamentals of One Dimensional Arrays
1) To demonstrate the creation of array, addition of an element, deletion of an element and
displaying the elements from one dimensional array.
2) To demonstrate the implementation of bubble sort, selection sort and insertion sort.
3) To demonstrate the implementation of linear search and binary search.
Practical Slot – 7:
Fundamentals of Two Dimensional Arrays
1) To demonstrate the matrix manipulation operations like addition, multiplication.
2) To demonstrate the operations on row and columns of two dimensional matrix.
Practical Slot – 8:
Fundamentals of Pointers
1) To demonstrate the pointer declaration and its use.
2) To demonstrate the implementation of pointer on array.
3) To demonstrate the creation of dynamic arrays using pointer.
Practical Slot – 9:
Fundamentals of Strings
1) To demonstrate the basic operations on string like “length”, “copy”, “reverse”, “truncate”.
2) To demonstrate the implementation of two dimensional array of characters.Practical Slot – 10:
Fundamentals of Functions
1) To demonstrate the implementation of functions.
2) To demonstrate the call by value parameter passing method.
3) To demonstrate the call by reference parameter passing method.
Practical Slot – 11:
Fundamentals of Functions
1) To demonstrate the implementation of recursive function.
2) To demonstrate the use of library function ( mathematical and string )
Bachelor Of Computer Application, BCCA,
Bachelor of Commerce & Computer Application BE
IT/CS, Information technology/Computer Science MCA,
Master of Computer Application MCM,
Master of Computer Management Diploma
, Polytechnic Others,
Basic Programming C / C++ ,
Hardware & Networking CCNA, MCSE, Hardware,