APTITUDE

MATH

  • Linear Algebra
    • Matrix algebra
    • systems of linear equations
    • eigen values and eigen vectors
  • Calculus
    • Functions of single variable
    • limit, continuity and differentiability
    • mean value theorems
    • indeterminate forms
    • evaluation of definite and improper integrals
    • double and triple integrals
    • partial derivatives
    • total derivative
    • Taylor series (in one and two variables)
    • maxima and minima
    • Fourier series
    • gradient, divergence and curl
    • vector identities
    • directional derivatives
    • line, surface and volume integrals
    • applications of Gauss, Stokes and Green's theorems
  • Differential Equations
    • First order equations (linear and nonlinear)
    • higher order linear differential equations with constant coefficients
    • Euler-Cauchy equation
    • initial and boundary value problems
    • Laplace transforms
    • solutions of heat, wave and Laplace's equations
  • Complex Variables
    • Analytic functions
    • Cauchy-Riemann equations
    • Cauchy's integral theorem and integral formula
    • Taylor and Laurent series
  • Probability and Statistics
    • Definitions of probability
    • sampling theorems
    • conditional probability
    • mean, median, mode and standard deviation
    • random variables
    • binomial distribution
    • Poisson distribution
    • normal distributions
  • Numerical Methods
    • Numerical solutions of linear and non-linear algebraic equations
    • integration by trapezoidal and Simpson's rules
    • single and multi-step methods for differential equations

EMD

  • Engineering Mechanics
    • Free-body diagrams and equilibrium
    • friction and its applications
    • trusses and frames
    • virtual work
    • kinematics and dynamics of rigid bodies in plane motion
    • impulse and momentum (linear and angular)
    • energy formulations
    • Lagrange's equation
  • Mechanics of Materials
    • Stress and strain
    • elastic constants
    • Poisson's ratio
    • Mohr's circle for plane stress and plane strain
    • thin cylinders
    • shear force and bending moment diagrams
    • bending and shear stresses
    • concept of shear centre
    • deflection of beams
    • torsion of circular shafts
    • Euler's theory of columns
    • energy methods
    • thermal stresses
    • strain gauges and rosettes
    • testing of materials with universal testing machine
    • testing of hardness and impact strength
  • Theory of Machines
    • Displacement, velocity and acceleration analysis of plane mechanisms
    • dynamic analysis of linkages
    • cams
    • gears and gear trains
    • flywheels and governors
    • balancing of reciprocating and rotating masses
    • gyroscope
  • Vibrations
    • Free and forced vibration of single degree of freedom systems
    • effect of damping
    • vibration isolation
    • resonance
    • critical speeds of shafts
  • Machine Design
    • Design for static and dynamic loading
    • failure theories
    • fatigue strength and the S-N diagram
    • design of bolted joints
    • design of riveted joints
    • design of welded joints
    • design of shafts
    • design of gears
    • design of rolling contact bearings
    • design of sliding contact bearings
    • design of brakes and clutches
    • design of springs

FMTS

  • Fluid Mechanics
    • Fluid properties
    • fluid statics
    • forces on submerged bodies
    • stability of floating bodies
    • control-volume analysis of mass, momentum and energy
    • fluid acceleration
    • differential equations of continuity and momentum
    • Bernoulli's equation
    • dimensional analysis
    • viscous flow of incompressible fluids
    • boundary layer
    • elementary turbulent flow
    • flow through pipes
    • head losses in pipes, bends and fittings
    • basics of compressible fluid flow
  • Heat Transfer
    • Modes of heat transfer
    • one dimensional heat conduction
    • resistance concept and electrical analogy
    • heat transfer through fins
    • unsteady heat conduction
    • lumped parameter system
    • Heisler's charts
    • thermal boundary layer
    • dimensionless parameters in free and forced convective heat transfer
    • heat transfer correlations for flow over flat plates and through pipes
    • effect of turbulence
    • heat exchanger performance
    • LMTD and NTU methods
    • radiative heat transfer
    • Stefan-Boltzmann law
    • Wien's displacement law
    • black and grey surfaces
    • view factors
    • radiation network analysis
  • Thermodynamics
    • Thermodynamic systems and processes
    • properties of pure substances
    • behavior of ideal and real gases
    • zeroth and first laws of thermodynamics
    • calculation of work and heat in various processes
    • second law of thermodynamics
    • thermodynamic property charts and tables
    • availability and irreversibility
    • thermodynamic relations
  • Applications
    • Power Engineering
    • I.C. Engines
    • Refrigeration and air-conditioning
    • Turbomachinery

MMIE

  • Engineering Materials
    • Structure and properties of engineering materials
    • phase diagrams
    • heat treatment
    • stress-strain diagrams for engineering materials
  • Casting, Forming and Joining Processes
    • Different types of castings, design of patterns, moulds and cores
    • solidification and cooling
    • riser and gating design
    • Plastic deformation and yield criteria
    • fundamentals of hot and cold working processes
    • load estimation for bulk and sheet metal forming processes
    • principles of powder metallurgy
    • Principles of welding, brazing, soldering and adhesive bonding
  • Machining and Machine Tool Operations
    • Mechanics of machining
    • basic machine tools
    • single and multi-point cutting tools, tool geometry and materials, tool life and wear
    • economics of machining
    • principles of non-traditional machining processes
    • principles of work holding, jigs and fixtures
    • abrasive machining processes
    • NC/CNC machines and CNC programming
  • Metrology and Inspection
    • Limits, fits and tolerances
    • linear and angular measurements
    • comparators
    • interferometry
    • form and finish measurement
    • alignment and testing methods
    • tolerance analysis in manufacturing and assembly
    • concepts of coordinate-measuring machine (CMM)
  • Computer Integrated Manufacturing
    • Basic concepts of CAD/CAM and their integration tools
    • additive manufacturing
  • Production Planning and Control
    • Forecasting models
    • aggregate production planning
    • scheduling
    • materials requirement planning
    • lean manufacturing
  • Inventory Control
    • Deterministic models
    • safety stock inventory control systems
  • Operations Research
    • Linear programming
    • simplex method
    • transportation
    • assignment
    • network flow models
    • simple queuing models
    • PERT and CPM

Test

  • GATE Calculator

GATE Mechanical Preparation Notes

  • Home
  • Thermodynamics
  • Strength of Materials
  • Heat Transfer