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APPLIED MATHEMATICS DIPLOMA ENGG CET SYLLABUS 2012


APPLIED MATHEMATICS 



                                                                        Max Marks : 40 Marks

ALGEBRA                 



DETERMINANTS.                                                                                                  1 X 2 = 2M    

Definition, Order, Expansion of 2nd & 3rd order Determinants by means of examples. Problems on finding unknown quantity in a 2nd & 3rd determinant using expansion. Solving simultaneous linear equations by determinant method ( Cramer’s rule).



MATRICES.                                                                                                             1 X 3 = 3M   

Determinant value of a square matrix. Singular and non singular matrices. Minor and co factor of an element of a matrix. Adjoint of a matrix. Inverse of a matrix. Characteristics equations of a square matrix and its roots, problems.



BINOMIAL THEOREM.                                                                                          1 X 2 = 2M  

Meaning of nCr and its value. Binomial theorem for (x + a)n, where n is a positive integer. Expansion. Finding constant term, co-efficient of xn, particular term and middle term(s).



 VECTOR ALGEBRA.                                                                                             1 X 3 = 3M  

Definition of vector. Magnitude of a vector. Position vector. Addition and subtraction of vector. Product of vectors, scalar and vector product. Geometrical meaning of scalar and vector product. Applications of dot(scalar) and cross(vector) product: Projection of a vector on another vector. Area of parallelogram and area of triangle. Work done by a force and moment of force, problems



TRIGONOMETRY



TRIGONOMETRIC RATIOS OF AN ACUTE ANGLE.                                    1 X 2 = 2M

Defination of Trigonometric ratios in terms of sides of a triangle for an acute angle. Trigonometric identities. Trigonometric ratios of standard angles: The numerical value of trigonometric ratios of standard angles like 00, 300, 450, 600 and 900, problems



ALLIED ANGLES.                                                                                                 1 X 2 = 2M   

Angle of any magnitude, sign of the trigonometric ratios. Meaning of allied angles. Trigonometric ratios of allied angles in terms of θ. Complimentary angles and relation between trigonometric ratios of complimentary angles, problems.







 COMPOUND ANGLES.                                                                                        1 X 2 = 2M   

Recall Sin( A + B) and Cos(A + B). Find Tan( A + B) using      Sin( A + B) and Cos(A + B). Write the formulae for Sin( A - B), Cos(A - B) and tan( A - B), problems.

Write ratios of multiple angles of 2A and 3A and sub multiple angle formulae, problems.



TRANSFORMATION FORMULAE.                                                                   1 X 1 = 1M   

Express sum or difference of Sine and Cosine of an angles in to product form. Express product of Sine and Cosine of angles in to sum or difference form, simple problems.



INVERSE TRIGONOMETRIC FUNCTIONS.                                                   1 X 1 = 1M   

Definition. Principle values of inverse trigonometric functions. Results like sin-1x + cos-1x =Л/2 = tan-1x + cot-1x = cosec-1x + sec-1x, tan-1x + tan-1y = tan-1 [(x+y)/(1-xy)] etc., problems.



ANALYTICAL GEOMETRY



BASIC CONCEPTS OF ANALYTICAL GEOMETRY.                                               1 X 3 = 3M

Defination of a point in a plane, Specification of a point using co-ordinate system. Points on X-axis and Y-axis. Distance formula. Section formulae. Co-ordinate of a point which divide the line internally and externally in the given ratio. Mid point formula. Centroid, area of a triangle and collinear points, problems.



STRAIGHT LINES.                                                                                                            1 X 3 = 3M

Inclination of a line with horizontal line and its slope. Intercept of a straight line. Slope of a line parallel to X-axis and Y-axis. Conditions for two lines to be parallel and perpendicular.  Equations of straight lines y = mx + c,  y – y1 = m (x – x1 ),  y – y1 = (y2 – y1 / x2 – x1 ) (x – x1 ), (x / a ) + (y / b) = 1. Equation of lines through a point and parallel or perpendicular to a given line. Angle between two lines, problems.  



CALCULUS



LIMITS.                                                                                                                     1 X 2 = 2M   

Variables and Constants. Definition of function. Concept of x tends to ‘a’. Definition of limit of a function. Problems on limit of a function by factorization, rationalization when x tend to ‘0’, when x tend to ‘∞’ and x tend to ‘a’. Algebraic and Trigonometric limits, problems.



DIFFERENTIAL CALCULUS.                                                                            1 X 4 = 4M

List of standard derivatives. Rules of differentiation: Sum, product and quotient of functions. Derivatives of function of a function(Chain rule). Derivatives of inverse Trigonometric functions, Hyperbolic functions and inverse of hyperbolic functions, Implicit functions, Parametric functions. Logarithmic differentiation. Successive differentiation up to second order, problems.

APPLICATIONS OF DIFFERENTIATION.                                                      1 X 2 = 2M

Geometrical meaning of derivative. Equation of tangent and normal to the curve y = f(x) at a given point. Derivative as a rate measure. Maxima and minima of a function, problems



INTEGRAL CALCULUS.                                                                                     1 X 3 = 3M

Definition of Integration. List of standard integrals. Rules of integration (only statement)

Integration by substitution method. Integration by parts. Rule of integration by parts, problems.



DEFINITE INTEGRALS.                                                                                      1 X 2 = 2M

Definition of Definite integral. Theorems on definite integrals, problems.



 APPLICATIONS OF DEFINITE INTEGRALS.                                                           1 X 1= 1M

Find area, volume and r m s value of a function, problems.



DIFFERENTIAL EQUATIONS.                                                                           1 X 2 = 2M

Definition, example, order and degree of differential equation with examples. Formation of differential equation by eliminating arbitrary constants up to second order. Solution of D E of first degree and first order by variable separable method. Linear equations and its solution.

DIPLOMA MECHANICAL ENGINEERING CET SYLLABUS 2012




Group code: ME              MECHANICAL ENGINEERING                     Marks: 100






1          Basic Management Skills



Team, Group, Team Building, Production and Productivity, Product Design and its Stages, Types of Production, Functions of Production, Planning and Control Department, Purchasing and its Procedure, Stores Management, Logistics, Inventory Control, Total Productive Maintenance-Concept and Techniques, Quality, Inspection-Types, Total Quality management-Concept and Tools, I.S.O 9000,Quality Standards, Accident and its Prevention                                              

                   15 Marks



2          Manufacturing Technology



Lathe, Drilling, Milling, Shaping, Grinding,(Types of Machines , Operations, Tools And Accessories ); NC & CNC Machines ( Comparison, advantages and disadvantages); Electric Discharge Machining(EDM), Ultrasonic Machining(USM), Abrasive Jet Machining(AJM) , Laser Beam Machining(LBM), Electro Chemical Machining(ECM), Electron Beam Machining(EBM); Casting, Molding Sands, Patterns, Casting Processes, Special Casting Techniques; Welding Techniques -Arc Welding, Gas Welding, TIG, MIG, Resistance Welding, EBW, LBW, Plasma Arc Welding; Forging, Rolling, Extrusion; Sheet Metal Operation-Shearing, Blanking, Punching, Trimming, Drawing, Embossing.                                                                                                                                                                                                                     

                                                                                                                   20 Marks

3          Thermal Engineering

            Basic terms and Concepts, Perfect Gas Laws, Zeroth Law, First and Second Laws of Thermodynamics, , Thermodynamic Processes Perfect Gases; Air Standard Cycles, Air Compressors; SI & CI-Engine(Two stroke & Four stroke), Compression Ratio, Valve Timing Diagram,  Lubrication and cooling; Fuels-types-Calorific Value of Fuel.     

                                                                                                                              15 Marks







4          Theory of Machines 

           Basic Kinematics of Machines, Transmission of power-Belt drive, Rope drive, Chain drives, Gear drives, Gear trains, Balancing of rotating masses in the same plane, Cams and Followers-Classification, Friction, Types of Friction, Laws of Friction, Brakes, Clutches and Dynamometers.                                   

                                                                                                                               15 Marks

5          Strength of Materials and Engineering Mechanics                                   

Simple Stress and Strain, Types of Stresses, Hooks Law, Modulus of Elasticity, Modulus of Rigidity, Poisons Ratio, Relations between three Elastic Constants, Temperature Stresses,  Bending Moment, Shear Forces, BMD and SFD diagrams for Cantilever, Simply Supported Beams with Point Load and Uniformly Distributed Load.                                                                                

                                                                                                                               15 Marks

                                                           

6          Material Science                   

                        Mechanical Properties of Metal, Manufacturing, Properties & Uses of Pig Iron Cast Iron & Steel, Properties & Uses of Copper, Aluminum, Lead, Zinc, Tin, Cobalt & Nickel, Iron-Carbon Equilibrium Diagram, Heat Treatment of Steel, Alloys of Steel.                                                                                                                                                                                                                                                                                                                                            10 Marks             

7      Engineering Drawing

Basics of Drawing, Conventions, Types, Dimensioning, Surface finish symbols, Projections-Orthographic and Isometric. 

                                                                                                                             10 Mark

APPLIED SCIENCE DIPLOMA ENGINEERING CET SYLLABUS


APPLIED SCIENCE

                                                                                                                      Max. Marks: 40

UNIT-I: UNITS, DIMENSIONS AND MEASUREMENT:

Physical quantities, Systems of units, Advantages of SI, Dimensions, Dimensional formula and its Applications, Principle of  Vernier, its usage, Principle of Screw guage, its usage-Problems.

                                                                                                                                1x4=4 marks

UNIT –II: BASICS OF DYNAMICS:

Equations of motion, Newton’s laws of motion, Force , Inertia, Momentum, Law of conservation of momentum, Simple problems. Friction, Advantages and disadvantages.

                                                                                                                                 1x4=4 marks

UNIT-III: BASICS OF STATICS:

Scalars, Vectors,  Resultant, Equilibrium, Resolution of Vectors. Laws of  Vectors (Parallelogram law, Triangle law, Lami’s theorem, Polygon law) Simple problems.

Co-planar parallel Forces, Moment of Force, Couple, Moment of Couple, Parallel Forces, Conditions of Equilibrium, Simple problems.

                                                                                                                                   1x5=5 marks

UNIT-IV: PROPERTIES OF SOLIDS AND LIQUIDS:

Plasticity and Elasticity, Types of Stress and Strain, Hooke’s Law,Types of modulii of elasticity, Compressibility, Poisson’s ratio, Factor of safety, simple problems.

Liquid pressure, Cohesive and Adhesive forces, Angle of contact, Surface Tension and its Application, Capillarity and its Applications, Viscosity and its Applications, simple problems.

                                                                                                                                     1x6= marks

UNIT-V: HEAT AND PROPERTIES OF GASES:

Heat and Temperature, Specific Heat, Heat Capacity, Specific heats of gases, Cp    and Cv  relation between them, Gas laws-Boyle’s law, Charle’s law ,absolute scale of temperature, Perfect gas equation, simple problems.

                                                                                                                                     1x3=3 marks

        

Continued…

Page 2

UNIT-VI: WAVE MOTION:

 Basic definitions of vibratory motion, SHM, Wave motion, Types of waves, Stationary Waves and its Characteristics, Resonance, Beats and its applications, Velocity of sound in gas, affecting factors, Laws of transverse vibrations of stretched string, Acoustics of building-Echo, Reverberation, simple problems.

                                                                                                                              1x7=7 marks

UNIT-VII: PHYSICAL OPTICS:

Introduction to theories of light- Newton’s corpuscular theory, Huygen’s wave theory

Maxwell’s electromagnetic theory, Planck’s quantum theory.



Interference- Theory of interference, Expression for amplitude and intensity of resultant wave, conditions for constructive and destructive interference, expression for path difference and fringe width, simple problems on fringe width and path difference.



Diffraction- Fresnel’s diffraction, Fraunhoffer’s  diffraction, difference between interference and diffraction, Resolving power, expression for resolving power of microscope and telescope.

Polarisation-Plane of vibration, plane of polarization, methods of producing plane polarized light, Brewster’s  law.

                                                                                                                            1x5= 5 marks

UNIT-VIII: MODERN PHYSICS:

Electron emission-Thermionic emission, Photoelectric emission, Field emission and secondary emission, Experimental  results of photoelectric effect, Einstein’s photoelectric equation, Photoelectric cell and its applications, scattering of light, coherent scattering and incoherent scattering, Raman effect-applications

Laser-Principle, necessary conditions, properties and applications of laser,

Radioactivity-properties of   ,   and   rays.

                                                                                                                             1x4= marks

UNIT-IX: ENGINEERING CHEMISTRY:

Corrosion-electrochemical theory of corrosion, methods of prevention.

pH of solution-pH scale, applications.

                                                                                                                           1x2=2 marks.

Diploma Technical Education Karnataka Results

Diploma All semester Results Are In below Links. Check it Out.
2011-2012 dte results, kar diploma result, November-December exam 2011-2012,supplimentry results,final year,1st sem,2nd sem,3rd sem,4th sem,5th sem,6th sem results links,

JJJJJJBest of LuckJJJJJJ

ELECTRICAL MACHINES-2 4TH SEM DIPLOMA COURSE IN ELECTRICAL AND ELECTRONICS ENGINEERING

DIPLOMA COURSE IN ELECTRICAL AND ELECTRONICS ENGINEERING
Fourth Semester

Sub:  ELECTRICAL MACHINES – II

Sub Code:
Contact Hrs/Week: 4.                                                                       Contact Hrs/Sem: 64

Chapter No                                                    Topic                                   No. of Hours


UNIT I
                                                                                                                                          
        1         Transformers                                                                                     22

UNIT II

        2           Induction motors                                                                             20
       
UNIT III
3         Synchronous motors                                                                          10
4         Single phase motors                                                                             2 
                      
           Industrial innovation                                                                         6
           Tests and Revision                                                                       4
                                                                                                                 _________
                                                 
                                                                                                        TOTAL           64






CONTENT

1.            TRANSFORMERS                                                                                   22Hrs

               1. Working Principle of Transformer                                                           4
               2. E.M.F.  Equation.                                                                                    3                      3. Operation on No Load & On Load                                                                            1                             
               4. Equivalent Circuit                                                                                    1         
               5. Regulation & Efficiency                                                                          6                             6. Three Phase Transformers                                                                        2                     
               7. Cooling of Transformer                                                                           2                                     8. Welding Transformer                                                                               1            
               9. Auto Transformer                                                                                    1
              10. Parallel Operation                                                                                  1
      
2             Induction motors                                                                                       20Hrs             
                                                                                                                                   
               1. Working principle                                                                                    3                     
               2. Types: Types of induction motor and their construction details.            1        
               3. Torque: Torque-slip curves.                                                                      4                     
               4. Equivalent circuit                                                                                     1                     
               5. Power output                                                                                           2
               6. Circle diagram: No load and blocked rotor tests-construction of circle
                   diagram-problems.                                                                                   3                                     7. Starting: Necessity & Types, soft starters.                                               2                     
               8. Speed Control: Different methods                                                          2
                   A] Change of applied voltage                                                                                                             B] Change of frequency                                                                                                                     C] Change of poles                                                                                                                             D] Rheostat control                                                                                
               9. Linear induction motor                                                                            1
               10. Induction generator                                                                               1           

3             Synchronous motors                                                                                  10Hrs                                                                                                                                                             
               1. Working principle.                                                                                   2
               2, Operation on load                                                                                    1         
               3. Characteristics                                                                                          2
               4. Hunting                                                                                                    1                                     5.Starting Method:                                                                                       1             
               6. Applications                                                                                             1         
               7. Permanent magnet synchronous motor                                                    2
               NEODYMIUM, SAMARIUM, COBALT, FERRITE, ALNICO.5        

4.            Single phase Motors                                                                                   2Hrs
               Split phase motors and Capacitor motors
SPECIFIC INSTRUCTIONAL OBJECTIVES
                                                                                                                                               
1       Transformers
                                                                                                                      
      1.1       Working principle, construction and classification               
         1.1.1 Explain the working principle of transformers.              
         1.1.2 Classify the various types of transformers                                 
         1.1.2.1   Based on construction                                               
         1.1.2.2   Based on application                                                  
         1.1.3 Explain briefly the various parts of the transformer and explain the functions
                  of each part.                                                        
         1.1.4 Name the different insulating material used in transformer.      
         1.1.4.1   Write the properties and uses of transformer oil.                   
         1.1.5 Explain the construction of core type and shell type transformers.       
      1.2       Emf Equation                                                   
         1.2.1 Derive emf equation and explain transformation ratio.              
         1.2.2 Solve problem on emf equation. 
                      
      1.3       Operation                                                          
         1.3.1 Explain the operation of a transformer on no load and on load with vector
                  diagrams.                                                                                                
         1.3.2 Solve the problem on transformer on no load.   

      1.4       Equivalent circuit                                                         
         1.4.1 Define the equivalent resistance of a transformer as refereed to primary and
                  secondary side.                                                   
         1.4.2 Explain magnetic leakage in a transformer core.            
         1.4.3 Explain leakage reactance & calculate equivalent reactance as referred to
                  primary and secondary side.                                           
1.4.4  Write the formula for equivalent impedance.
1) Referred to primary.   2) Referred to secondary                             
         1.4.5 Draw the equivalent circuit diagram of a transformer.  

      1.5       Regulation and Efficiency                                           
         1.5.1 Explain the various losses in a transformer.                               
         1.5.2 Explain open circuit and short circuit test on transformer to find no load and
                  copper losses                                                       
         1.5.3 Define voltage regulation in the transformer.                            
         1.5.4 Write equation for voltage regulation.                           
         1.5.5 Calculate the efficiency of transformer at given loads.             
         1.5.6 State the condition for maximum efficiency                              
         1.5.7 Define all day efficiency.                                               
         1.5.8 Solve the problems on the above.
                      
      1.6       3 phase transformers                                        
         1.6.1 Explain working principle and construction of 3 phase transformers.
         1.6.2 Explain star-star, Delta-Delta, star-Delta, Delta-star, open delta and Scott
                  connections
                 
1.7 Cooling of transformer                                    
         1.7.1 Explain the necessity of cooling of transformer.            
         1.7.2 List the various types of cooling of transformer.                       
         1.7.3 Write the meaning of AN, ON, OFA.
        
1.8 Welding transformer                                        
      1.8.1    Explain the construction and write the applications of a welding transformer.                   
1.9 Auto transformer                     
         1.9.1 Explain briefly an auto transformer.                               
         1.9.2 Compare auto transformer with two winding transformer.       
         1.9.3 List the application of auto transformer.
                 
1.10    Parallel operation                                                     
         1.10.1    Explain the necessity and conditions for parallel operation. 
         1.10.2    Explain with neat sketches parallel operation of single phase
                       transformers with their load sharing. 
                                  
2    Induction motor
                                                              
      2.1       Working principle                                                 
      2.1.1    Explain the working principle of induction motor.             
      2.1.2    Compare with it a transformer.                                           
      2.1.3    Explain how the rotating magnetic field is produced by poly phase supply.
      2.1.4    Define the terms slip, frequency of rotor current.
                 
      2.2       Types                                                                                  
      2.2.1    Describe the construction of stator, squirrel cage rotor and phase wound rotor.                                 
      2.3       Torque                                                                                            
      2.3.2    Derive an expression for starting torque.                            
      2.3.3    Compare the starting torques of squirrel cage and slip ring induction motor.
      2.3.4    State the condition for max starting torque.                                   
      2.3.5    Explain the effect of change in supply voltage on starting torque.
      2.3.6    State equation for torque under running conditions.                      
      2.3.7    Draw torque - slip curves.                                       
      2.3.8    State relationship between                                      
                  1. Full load torque and maximum torque.                           
                  2. Starting torque and maximum torque.                            
      2.4       Equivalent circuit                                                  
      2.4.1    Draw the equivalent circuit of an induction motor.
     
      2.5       Power output                                                         
      2.5.1    State the relationship between rotor power input, rotor copper loss, and mechanical
                  power developed and slip.
      2.5.2    Solve problems on the above.                                             
      2.6       Circle diagrams                                                     
      2.6.1    Construct the circle diagram for the given 3 induction motor using the no-load and  
                   blocked rotor test results.
2.6.2        Calculate slip rotor stator copper losses, power factor, efficiency,  speed regulation for
Full load conditions from above circle diagram.                            
      2.6.3    Solve problems on the above.
     
      2.7       Starting                                                                               
      2.7.1    Explain the necessity of starters for 3 induction motors and list the various types of
                  starters.                                
      2.7.2    Explain the construction and working of                           
                  1. D.O.L. Starter                  2. Soft Starter             3. Star-Delta Starter
                                                      
      2.8       Speed control                                                         
      2.8.1    With neat circuit diagram. Explain the speed control of 3 induction motor.
                  1. Change of applied voltage                                                          
                  2. Change of frequency(Variable voltage and variable frequency)                        
                  3. Change of poles                                                  
                  4. Rheostat control.
       2.8.2.  Explain the principle of working & application of linear induction motor.
       2.8.3     Explain Induction Generators and its applications.

      3.Synchronous motors
      3.1       Working principle                                                 
      3.1.1    Describe the general principle of operation of synchronous motor.           
      3.1.2    Compare the synchronous motor with induction motor
                 
      3.2       Operation on load                                                  
      3.2.1    Explain the effect of change in excitation at constant load
     
      3.3       Characteristics                                                       
      3.3.1    Explain the effect of excitation on armature current & power factor.       
      3.3.2    Define V-curves & inverted V-curves & draw the same.
                 
      3.4       Hunting                                                                              
      3.4.1    Explain hunting and its prevention.
                 
      3.5       Starting                                                                               
      3.5.1    Explain the methods of starting synchronous motor.                     
      3.6       Applications                                                           
      3.6.1    Explain the applications of synchronous motors.
                 
      3.7       Permanent Magnet Synchronous motor                         
      3.7.1    Explain permanent magnet Synchronous motor.                
      3.7.2    State the characteristics of permanent magnet.                  
      3.7.3    List the properties of NEODYMIUM, SAMARIUM, COBALT, FERRITE,
                  ALNICO.5.
                                                                          
4    Single phase motors
     
      4.1       Split phase induction motor                                             
      4.1.1    State the principle of working of single phase induction motor.    
      4.1.2    Name different types of single phase induction motor.                 
      4.1.3    Explain the construction, principle of operation, characteristics &applications of
                  a) Single phase capacitor start capacitor run I.M  b) Single phase capacitor start
                       induction run I.M 


REFERENCES:
                   
1. Electrical Technology volume 2 – by BL Theraja & A.K.Theraja S.Chand publication
2. Principles of Electrical Machines by V.K.Mehtha.S.Chand publication
3. Electrical Machines by Bhattacharya. Tata McGraw Hill Co.
4. Electrical Machines – by J.B.Guptha  Kataria & Sons Publications.
5. Generation of Electrical Energy by BR Gupta.  S.Chand Publication.
6. Fundamentals of elecrical drives – by G.K. Dubey   Narosa publications.
7. Electrical Machines – by Deshpande.

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