MATHEMATICSI SECTIONA Unit I : Successive Differentation : Leibnitz's theorem. Taylor's and Maclaurin's theorems. Indeterminate forms. (10 Hrs.) Unit II : Partial differentation. Euler's theorem on homogeneous functions, transformation of independent variables, (10 Hrs.) Unit III : Jacobians of explicit and implicit functions with properties, functional dependence. Maxima and minima of functions of two variables, Lagrange's method of undertermined multipliers. (10 Hrs.) SECTIONB Unit IV : Recuction formulae. Gamma and Beta functions with properties. Tracing of curves. Rectification. (10 Hrs.) Unit V : Ordinary differential equation  Solution of first order and first degree differential equations by various methods (variable separable, Homogeneous and reducible to homogeneous, linear and reducible linear, exact and reducible to exact and method of substitution). (10 Hrs) Unit VI : Solution of differential equations of first order and higher degree by various methods, Applications of differential equations of first order and first degree to problems on geometry, mechanics, chemical Engineering, Electrical Engg. (10 Hrs.) Books Recommended : 1) Elements of Applied Mathematics by P.N. Wartikar & J.N.Wartikar. 2) A Text Book of Applied Mathematics by P.N. Wartikar & J.N.Wartikar. 3) A Text Book of Differential Calculas by Gorakh Prasad. 4) Engg. Mathematics by Chandrika Prasad. 5) Advancing Engg. Mathematics by E.K.Kreyzig. 6) Higher Engg. Mathematics by B.S.Grewal.
APPLIED CHEMISTRY  I Unit I : Electrochemistry, Corrosion and Corrosion Control : A) Nernst Theory of Single Electrode potential, Nernst equation, Electrochemical series, Galvanic series. Batteries Principle of Batteries, Types of BatteriesLead Storage cell, ZnC dry cell and Silveroxide battery. Fuel cellH2O2 type. Solar Cells and porduction of electricity using solar energy. B) Corrosion : Dry & Wet corrosion and its mechanism, Types of corrosionPitting corrosion, waterline corrosion, intergranular corrosion, soil corrosion and stress corrosion. C) Corrosion control  Design and meterial selection, Anodic and cathodic protection, hot dipping : galvanizing, and tinning. (10 Hrs.) Unit II : Water treatment and analysis : Hardness of water, Units of Hardness, Experimental determination by EDTA method, Softening of water and processes like  LimeSoda, Ion exchange and Zeolite, Numerical problems based on LS & Zeolite process. Potable WaterDisinfection by Cl2 & O3. Boiler feed water & Boiler troubles : Requirement and treatment of Boiler feed water, Boiler corrosion, Caustic embrittlement, Priming and foaming & Scale and sludge formation and Internal treatment for boiler feed water {Carbonate conditioning, phosphate conditioning.} (10 Hrs.) Unit III : Phase rule and Cement : A) Phase rule and its applications : Phase rule, Study of terms phase, components and degrees of freedom. Application of Phase rule to one component system (Water System) & two component systems (CdBi, FeC). B) Cement : Raw materials, Classification of cement, Portland cement, Manufacture of cement by wet process, setting and hardening of cement, heat of hydration, soundness of cement. (10 Hrs.) PRACTICAL EXAMINATION 1. Determination of NaOH and Na2CO3 in given alkali mixture. 2. Determination of hardness of water by EDTA titration method. 3. Determination of chloride ions in water sample. 4. Determination of chlorine in water sample. 5. Determination of DO in water sample. 6. Determination of % Fe2O3 in given cement sample. 7. Determination of % CaO in given cement sample. 8. Determination of pH of a solution by pHmeter. 9. To draw phase diagram of LeadTin binary system and determination of the eutectic temperature and composition at any temperature. 10. Determination of conductivity of a given sample using conductometer. (Minimum of Seven experiments from above)
APPLIED PHYSICSI Unit I : Semiconductor Physics : Formation of energy bands in solids (Energy level approach), Classification of Solids, Conduction mechanism in semiconductor and conductivity equation. Fermi level in intrinsic and extrinsic semiconductors (Qualitative approach), Dependence of Fermi level on impurity concentration and temperature, Formation of PN junction, PN junction diode, Zener diode, light dependent resistor Photo diode, Light emitting diode, Transistor and its working in CE and CB mode, Hall effect. Unit II : Crystallography : Space lattice, Single crystal, Seven crystal systems, coordination number, atomic radius, density of packing, Miller indices, Separation between lattice planes, Crystal defects (Point and Line defects only), Symmetry elements. Production and properties of Xrays, Absorption of Xrays, Bragg's Law and study of crystal structure using Bragg's spectrometer, Introduction to Liquid crystals, and its applications. Unit III : Quantum Physics : Black body spectrum and Planck's hypothesis, Derivation of Planck's law of radiation, Photo electric effect and Einstein's equation. Compton effect, derivation of Compton shift and its experimental verification, De Broglie's concept of matter waves, Experimental study of matter waves by Davisson and Germer's experiment, Heisenberg's Uncertanity principle and its application (why electron cannot exist inside the nucleus). PRACTICAL : At list Six experiments based on the theory syllabus. Reference Books : 1) Modern Physics by S.L.Gupta and S. Gupta. 2) Text Book of Engg. Physics by Dr.(Mrs.) S.D.Wakde and J.S.Bakre. 3) Modern Physics by J.B.Rajam. 4) Engineering Physics, Theory & Practical by Prakash Manikpure & others. 5) A Text Book of Engg. Physics, Theory & Practical by R.S.Bobde & Dr. Anwane, Nirali Pub.
COMPUTER SCIENCEI UNIT I: Computer Fundamentals: Organization of PC, Introduction to DOS and Windows Operating Systems, Number Systems: Decimal, Binary, Octal, Hexadecimal, Conversion to each other. Binary addition, Negative number representation, Binary Subtraction, Dmorgan;s theorem, Boolean algebra, Logic gates, SR Flipflop, Truth tables, Organization of Von Neumann;s Stored Program Computer . (8hr) UNIT II: C Fundamentals: Introduction to C language, First C program, Program execution, Keywords, Character set, Builtin Data Types, Variables, Expressions, Operators & their precedence. Single character I/O, String I/O, Format specifiers for scanf( ) and printf( ) functions. (10hr) UNIT III: C Control Structures: Decisionmaking using if, ifelse and switchcase statements, Loops using for, while, dowhile statements, break and continue statements. Functions: declaration, definition and parameter passing mechanism. (6hr) BOOKS : 1. Schildt Herbert – C Made Easy (OsborneMcGraw Hill) 2. Tim Grady – Turbo C Programming (McGraw Hill) 3. Kochan S. G. – Programming in C (Hyden) 4. Kalicharan – C By Example (Cambridge) COMPUTER SCIENCE LABORATORY : The objective of this lab is not only to provide a Handson Experience to C programming, but also to expose the candidates to the latest tools of the trade. This lab is based on DOS, Windows, MSWord, MSPowerpoint, MSAccess and Internet Explorer and it is expected that the candidate demonstrates adequate to high skills with these tools and programming with C. The sample list of programs is given below. This list can be used as guideline for problem statements but the scope of the laboratory should not be limited to the same. Aim of the list is to inform about minimum expected outcomes. 1. Basic commands of DOS 2. Using Windows 3. Using MSWord 4. Using MSPowerpoint 5. Using MSAccess 6. Introduction to Internet, Explorer & Web Browsing 7. Programming in C"
ENGINEERING MECHANICSI UNITI 1. FUNDAMENTALS : Concept of force, moment of a force about a point and about an axis, couple, resolution and compositions of coplanar force system, reduction of system of forces into a force and a coupleequivalent force system. 2. EQUILIBRIUM : Freebody diagrams, equations of equilibrium, problems of equilibrium involving coplanar force systems acting on particle, rigid body and system of rigid bodies, problems of equilibrium of noncoplanar concurrent force system. (10) UNITII 1. TRUSSES & FRAMES : a) Analysis of simple plane trusses, Method of joints, Method of sections (b) analysis of frames involving ideally connected members. 2. FRICTION Friction : Coulomb's laws of dry friction, static belt friction. (10) UNITIII : 1. PROPERTIES OF AREAS: Centroid of plane areas, second moment of area and product of inertia, transfer theorems, polar moment of inertia, radius of gyration, definition of principle axes and principle moment of inertia. 2. PROPERTIES OF SOLIDS: C.G.Ixx, Iyy, Izz for Solids like sphere, cylinder, cube parall elopiped. (10) Practicals: (For 1 S 5 Engg. MechanicsI & 2 S 5 Engg. MechanicsII) Four compulsary graphical solutions to the problems of statics, 1. Law of Polygon of forces 2. Reactions at the supports of simple beam. 3. Jib crane/shear leg. 4. Determination of coefficient of friction on inclined plane. 5. Determination of Coefficient of coil friction. 6. Determination of mass moment of inertic of fly wheel 7. Determination of gravitational acceleration by compound pendulum. 8. Determination of velocity ratio, law of machine, simple screw jack, differential wheel axle, worm and worm wheel, single and double purchase crab A journal/ report on experiment conducted shall be submitted by each student. Practical examination shall be viva – voce based on Engineering Mechanics I and Engineering Mechanics II practical and the syllabus of the course. BOOKS RECOMMENDED: 1. Singer, F. L., Engineering Mechanics 2. Timoshenko and Young, Engineering Mechanics 3. Beer and Johnston, Engineering Mechanics, McGraw Hill 4. Shames, I. H., Engineering Mechanics, Prentice Hall 5. Haung, I C., Engineering Mechanics 6. Thadani, Engineering Mechanics
ELECTRICAL ENGINEERING I Unit I : Basic concept of Voltage, Current, Power and Energy, relationship between them. Resistance, Resistivity, Conductivity. Temperture coefficient of resistance. Series Parallel circuits, StarDelta transformations. Ohm's Law, Kirchoff's laws, Superposition theorem, Thevenin's Theorem. Unit II: Magnetic fluxs, Flux density, MMF, Reluctance, Magnetic field intensity, Leakage and Fringing of flux, Series Parallel Magnetic circuits. Principles of electromagnetic induction, self and mutual induction, coefficient of coupling. Energy store in magnetic field. Unit III : Measuring Instrument, classification, deflecting, controlling, damping and breaking torques. Basic principles of operation of Ammeter, Voltmeter, Wattmeter and Energymeter. Electric Wiring. Types of Wires and Cables, Designation of wires, various types of wiring, accesories, wiring diagram, domestic installation, testing of domestic wiring, earthing, safety measures. PRACTICALS : Minimum Six experiments based on above syllabus. BOOKS RECOMMENDED : 1) Basic Electrical Engineering : V.N.Mittle, TMGH. 2) Electrical Technology : Edward Hughes, ELBS. 3) A Text Book of Basic Electrical Engineering : B.H.Deshmukh, (Nirali Publication).
ENGINEERNG DRAWINGI Unit I: Loci of Points, Engineering Curves. a) Locus problem on simple Links mechanism. b) Conic sections, Normal and Tangent to conic section, cycloid, epicycloids and hypocycloid, involute, to draw an archemedian, logarithmic or equiangular spiral. Unit II : Projection of points, lines and planes. a) Projection of Points. b) Projection of lines inclined to both planes, separately to HP and VP. c) Projection of planes inclined to both planes. (10 Hrs) Unit III : Orthographic Projections Introduction to orthographic projections, first and third angle method of projection, conversion of simple pictorial views into orthographic views, Dimensioning Technique. PRACTICALS :Each candidate will submit a set of at least five drawing sheets on above syllabus evenly distributed as per list attached. The practical examination will consist of oral on the topics based on above syllabus. LIST OF SHEETS: 1 Loci of points on link mechanism. 2 Various Curves from Unit I of syllabus 3 Projection of Straight lines. 4 Projections of Planes. 5 Minimum two problems for orthographic projection (First & Third angle projection). 6 Free hand sketches of simple machine elements. [Screw threads (ISI thread profiles). Types of studs & set screws, washers, etc.] REFERENCES : 1. Engineering Drawing : N.D.Bhatt 2. Machine Drawing : N.D.Bhatt 3. Engineering Drawing : P.J.Shah.
WORK SHOP  I I) Smithy  Introduction to various smithy tools & Equipments, their use, forging operations. One job on upsetting, drawing down, flattering II) Fitting and Taps & dies : Introduction to different fitting tools, their use, different measuring tools, introduction to Taps & Dies. a) One job on fitting. b) Demonstration showing basic operations like plain turning facing, step turning etc. * Journal should be prepared and submitted based on the jobs prepared by using various tools, equipments, machines in the above shops, information of tools and equipments. *******
