Engineering Mathematics
Linear
Algebra:
Matrices and Determinants,
Systems of linear equations, Eigen values and Eigen
vectors.
Calculus:
Limit, continuity and
differentiability; Partial Derivatives; Maxima and minima;
Sequences and series; Test
for convergence; Fourier series.
Vector
Calculus:
Gradient; Divergence and
Curl; Line; surface and volume integrals; Stokes, Gauss and
Green's theorems.
Diferential
Equations:
Linear and non-linear
first order ODEs; Higher order linear ODEs with constant
coefficients; Cauchy's and
Euler's equations; Laplace transforms; PDEs - Laplace, heat
and wave equations.
Probability
and Statistics:
Mean, median, mode and
standard deviation; Random variables; Poisson, normal and
binomial distributions;
Correlation and regression analysis.
Numerical
Methods:
Solutions of linear and
non-linear algebraic equations; integration of trapezoidal and
Simpson's rule; single and
multi-step methods for differential equations.
Mining Engineering
Mechanics:
Equivalent force systems;
Equations of equilibrium; Two dimensional frames and
trusses; Free body
diagrams; Friction forces; Particle kinematics and dynamics.
Mine
Development, Geomechanics and Ground Control:
Methods of access to
deposits; Underground drivages; Drilling methods and machines;
Explosives, blasting
devices and practices.
Geo-technical properties
of rocks; Rock mass classification; Ground control,
instrumentation and stress
measurement techniques; Theories of rock failure; Ground
vibrations; Stress
distribution around mine openings; Subsidence; Design of supports in
roadways and workings;
Rock bursts and coal bumps; Slope stability.
Mining
Methods and Machinery:
Surface mining: layout,
development, loading, transportation and mechanization,
continuous surface mining
systems; Underground coal mining: bord and pillar systems,
room and pillar mining,
longwall mining, thick seam mining methods; Underground
metal mining : open,
supported and caved stoping methods, stope mechanization, ore
handling systems, mine
filling.
Generation and
transmission of mechanical, hydraulic and pneumatic power; Materials
handling: haulages,
conveyors, face and development machinery, hoisting systems,
pumps.
Ventilation,
Underground Hazards and Surface Environment:
Underground atmosphere;
Heat load sources and thermal environment, air cooling;
Mechanics of air flow,
distribution, natural and mechanical ventilation; Mine fans and
their usage; Auxiliary
ventilation; Ventilation planning.
Subsurface hazards from
fires, explosions, gases, dust and inundation; Rescue
apparatus and practices;
Safety in mines, accident analysis, noise, mine lighting,
occupational health and
risk.
Air,
water and soil pollution:
causes, dispersion,
quality standards, reclamation and control.
Surveying,
Mine Planning and Systems Engineering:
Fundamentals of
engineering surveying; Levels and leveling, theodolite, tacheometry,
triangulation, contouring,
errors and adjustments, correlation; Underground surveying;
Curves;
Photogrammetry; Field
astronomy; EDM, total station and GPS fundamentals.
Principles
of planning:
Sampling methods and
practices, reserve estimation techniques, basics of geostatistics
and quality control, optimization
of facility location, cash flow concepts and mine
valuation, open pit
design; GIS fundamentals.
Work-study; Concepts of
reliability, reliability of series and parallel systems.
Linear programming,
transportation and assignment problems, queueing, network
analysis, basics of simulation.
Source: http://gate.iitd.ac.in/
Edited by : http://ipuedu.blogspot.com
Source: http://gate.iitd.ac.in/
Edited by : http://ipuedu.blogspot.com
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