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;
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
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.
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
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,
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
Work-study; Concepts of reliability, reliability of series and parallel
Linear programming, transportation and assignment problems, queueing, network
analysis, basics of simulation.