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By : Engineer
On : 05:37

This TANCET syllabus is only for mechanical, automobile & aeronautical engineering Students. In this syllabus, study material has been covered for topics expect mathematics. Click the working link to go the study material page of desired topic.



ENGINEERING MATHEMATICS (Common to all Candidates)

i)      Determinants and Matrices:
        Solving system of equations 
        Rank of the Matrix 
        Eigenvalues and eigenvectors 
        Reduction of quadratic form to canonical form.

ii)      Calculus and Differential Equations:
         Partial derivatives
         Taylor’s expansion
         Maxima and Minima. 
         Linear ordinary differential equations with constant coefficients 
         Simultaneous first order linear equations with constant coefficients.
         Formation of partial differential equation (PDE) 
         Solution of first order PDE 
         Solution of linear higher order PDE with constant coefficients.

iii)     Vector Calculus:
           Double and triple integrations and their applications 
          Gradient, Divergence, Curl and Laplacian 
          Green’s, Gauss divergence and Stroke’s theorem.

iv)  Functions of Complex Variables and Complex Integration : 
          Analytic functions 
          Conformal Mapping 
          Bilinear transformation 
          Cauchy’s integral theorem and integral formula 
          Taylor and Laurent Series
          Residue theorem and its applications.

v)    Transforms:
         Laplace Transform 
         Inverse transforms 
        Application to solution of linear ordinarydifferential equations with constant                coefficients.
        Fourier integral theorem 
        Fourier transform pair 
        Sine and Cosine transforms. 
        Transform – Inverse Z-transform 
        Solution of difference equations using Z-transform.

vi)      Numerical Methods :
      Solution of linear system by direct and iterative methods
      Interpolation and approximation
      Numerical Differentiation and Integration
      Solving Ordinary Differential Equations.

vii)        Applied Probability : 
       Probability and Random variables 
       Standard Discrete and Continuous distribution 
       Moment generating function and their properties.
       Two-Dimensional Random
       Variables – Covariance – Correlation and Regression.


BASIC ENGINEERING & SCIENCES (Common to all Candidates)

1) Applied Mechanics:
  Law of Mechanics
  Lame’s theorem
  Forces, Moments and Couples
  Displacement, velocity and Acceleration
  Moment of Inertia

2) Mechanical Engineering:
        Laws of thermodynamics
              Open and closed systems  
        Equation of state
   Heat and Work.

3) Physics:
         Ultrasonic flaw detector
         X-ray radiography
         Interference Fringes
         Planck’s quantum theory
         Laser and Fibre Optics.

4) Material Science :
         Magnetic and Dielectric materials
         Conductor and Semi conductor materials
         Ceramic and Super conductor materials.

5)  Civil Engineering:
         Fluid Statics and Dynamics
         Boundary Layer
         Pumps and Turbines
         Environmental Pollution.

6) Electrical Engineering:
        Ohm’s law
        Kirchoff’s law
        A.C. circuits
        D.C. machines
        Synchronous machines

7) Computers:
         Computer organization
         User defined function –C program

          Chemical kinetics
          Fuels and Combustion.


i) Mechanics : Statics of Particles, Equilibrium of Rigid Bodies, Properties of Surfaces and Solids, Dynamics of Particles, Friction and Elements of Rigid Body Dynamics – Basics of Mechanisms, Kinematics of Linkage Mechanisms,Kinematics of Cam Mechanisms, Gears and Gear Trains, Friction, Force Analysis, Balancing and Vibration.

ii) Strength of Materials and Design : Stress, Strain and Deformation of Solids, Transverse Loading on Beams and Stresses in Beams, Deflection of Beams, Energy Principles, Thin cylinders and spherical resells Torsion -Fundamentals of Design for Strength and Stiffness of Machine Members, Design of Shafts and Couplings, Design of Fasteners and Welded Joints, Design of Springs and Engine Parts, Design of Engine parts, Bearings and Flywheels,

Design of Transmission Systems for Flexible Elements, Spur Gears and Parallel Axis Helical Gears, Bevel, Worm Gears and Crossed Helical Gears, Design of Gear Boxes, Design of Cam, Clutches and Brakes.

iii) Material Science and Metallurgy : Constitution of Alloys and Phase Diagrams, Heat Treatment, Ferrous and Non ferrous Metals, Non-Metallic Materials, Mechanical Properties and Testing, Crystal Defects and Strengthening of Materials Conducting and Semiconducting Materials, Magnetic and Dielectric Materials, Nuclear Physics,Superconducting and New Engineering Materials.

iv) Thermodynamics : Basic Concepts and First Law, Second Law, Entropy and Availability, Properties of Steam, Psychrometry, Ideal and Real Gases and Thermodynamic Relations, Fuels and Combustion, - Gas Power Cycles,Stream Turbines, Internal Combustion Engines, Internal Combustion Engines Testing and Performance, Gas Turbines, - Steam Nozzle, Air Compressor, Refrigeration and Air-Conditioning, Boilers, Cogeneration and Waste Heat Recovery.

v) Heat Transfer : Conduction, Phase Change Heat Transfer and Heat Exchangers, Radiation, Mass Transfer-Refrigeration Cycle, Refrigerants, System Components and Balancing, Psychrometry, Air Conditioning Systems,Unconventional Refrigeration Cycles.

vi) Production Technology : Foundry Technology, Hot & Cold Working, Forging, Advances in Forming Process, Principles and Applications of Joining Processes, Theory of Metal Cutting, Centre Lathe and special Purpose Lathes,Reciprocating Machines, Milling Machines and Gear Cutting, Abrasive Process, Broaching, CNC Machine Tools and Part Programming.

vii) Automotive Engines : Engine Construction and Operation, SI Engine Fuel System, Cooling and Lubrication System, Combustion and Combustion Chambers, Two Stroke Engines, Diesel Engine Basic Theory, Fuel Injection System, Air Motion, Combustion and Combustion Chambers, Supercharging and Turbocharging, Diesel Engine  Testing and Performance.

viii) Automotive Transmission and Pollution : Clutch and Gear Box, Hydrodynamic Drive, Planetary Gear

Boxes, Automatic Transmission Applications, Hydrostatic and Electric Drive - S.I. Engine Combustion and Emissions,

CI Engine Combustion and Emissions, Control Techniques for Reduction of SI and CI Engine Emission, Test

Procedure & Instrumentation for Emission Measurement and Emission Standards.

ix) Aerodynamics : Basic Fluid Mechanics, Two Dimensional Inviscid Incompressible Flow, Airfoil Theory, Subsonic Wing Theory, Laminar and Turbulent Flow, Fundamental Aspects of Compressible Flow, Shock and Expansion Waves,Two Dimensional compressible Flow, High Speed Flow Over Airfoils, Wings and Airplane Configuration.

x) Aerospace Propulsion : Fundamentals of Gas Turbine Engines, Subsonic and Supersonic Inlets for Jet Engines, Centrifugal and Axial Flow Compressors, Combustion Chambers for Jet Engines, Turbines for Jet Engines, Nozzles for Jet Engines, Ramjet


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