GATE EXAMINATION 2013-14 SYLLABUS
MINING ENGINEERING (MN)
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 & Curl; Line; surface & 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 & Statistics: Mean, median,mode & 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.
- 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 & 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 & caved stoping methods, stope mechanization, ore handling systems, mine filling.
- Generation & 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 & 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 & Systems Engineering:Fundamentals of engineering surveying; Levels & leveling, theodolite, tacheometry, triangulation,Contouring, errors & adjustments, correlation; Underground surveying; Curves; Photogrammetry; Field astronomy; EDM, total station and GPS fundamentals.
- Principles of planning:Sampling methods & 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.
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