Matrices and Determinants, Systems of linear equations,
Eigen values and Eigen vectors.
Limit, continuity and differentiability; Partial
Derivatives; Maxima and minima; Sequences and series; Test
for convergence; Fourier series.
Gradient; Divergence and Curl; Line; surface and volume
integrals; Stokes, Gauss and Green’s theorems.
Linear and non-linear first order ODEs; Higher order linear
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
Solutions of linear and non-linear algebraic equations;
integration of trapezoidal and Simpson’s rule; single and
multi-step methods for differential equations.
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,
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
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.