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 Strata
Control: Drivages for underground mine
development, drilling methods and machines,
explosives, blasting devices and practices,
shaft sinking. Physico-mechanical 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, stability of open pits,
slopes.
Mining Methods and Machinery: Surface mining
- layout, development, loading,
transportation and mechanization, continuous
surface mining systems. Underground coal
mining - bord and pillar system, longwall
mining, thick seam mining methods.
Underground metal mining: different stoping
methods, stope mechanization, ore handling
systems, mine filling. Generation and
transmission of mechanical, hydraulic, and
pneumatic power. Materials handling -
haulages, conveyors, ropeways, face and
development machinery, hoisting systems, and
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.
Subsurface hazards from fires, explosions,
gases, dust, and inundation, rescue
apparatus and practices, safety in mines,
accident analysis, noise, mine lighting. Air
and water pollution: causes, dispersion,
quality standards, and control.
Surveying, Mine Planning and Systems
Engineering: Fundamentals of engineering
surveying, Levels and levelling, Theodolite,
tacheometry, triangulation, contouring,
errors and adjustments, correlation,
underground surveying, curves,
photogrammetry, field astronomy, GPS
fundamentals. Principles of planning -
Sampling methods and practices, reserve
estimation techniques, basics of
geostatistics, optimization of facility
location, cash flow concepts and mine
valuation, open pit design. Work study,
concepts of reliability, reliability of
series and parallel systems. Linear
programming, transportation and assignment
problems, queueing, network analysis,
inventory control.
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