LATEST SYLLABUS Section 1: Engineering Mathematics Linear Algebra: Matrices and Determinants; Inverse and Rank of matrix; Systems of linear equations; Eigen values and Eigen vectors; Cayley-Hamilton Theorem. Calculus: Limit, continuity and differentiability; Partial Derivatives; Mean value theorems; Indeterminate forms and L’Hospital’s rule; Maxima and minima; Taylor’s theorem; 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. Differential Equations: Linear and non-linear first order ODEs; Higher order linear ODEs with constant coefficients; Cauchy’s and Euler’s equations. Probability and Statistics: Measures of central tendency and dispersion; Hypothesis testing; Binomial, Poisson, exponential and normal distributions; Correlation and regression analysis. Numerical Methods: Solutions of linear algebraic equations; Interpolation; Integration by trapezoidal and Simpson’s rule; Single and multi-step methods for differential equations. Section 2: Mining Geology, Mine Development and Surveying Mining Geology: Minerals, Rocks and their origin, Classification, Ore genesis; Structural geology. Mine Development: Methods of access to deposits; Underground drivages; Drilling methods and machines; Explosives and energetics; Blasting devices; Blast design practices; Rock-tool interaction in mechanical cutting systems and their selection. Mine Surveying: Levels and levelling; Theodolite; Tacheometry; Triangulation; Contouring; Errors and adjustments; Correlation; Underground surveying; Curves; Photogrammetry; EDM; Total Station; GPS; Basics of GIS and Remote Sensing. Section 3: Geomechanics and Ground Control Engineering Mechanics: Equivalent force systems; Equations of equilibrium; 2D frames and trusses; Free body diagrams; Friction forces; Particle kinematics and dynamics; Beam analysis. Geomechanics: Geotechnical properties of rocks; Rock mass classification; Instrumentation and in-situ stress measurement techniques; Theories of rock failure; Ground vibrations; Stress distribution around mine openings; Subsidence; Slope stability. Ground Control: Design of pillars; Roof supporting systems; Mine filling; Strata control and monitoring plan. LATEST SYLLABUS Section 4: Mining Methods and Machinery Mining Methods: Surface mining: Layout, development, loading, transportation, mechanization; Continuous surface mining systems; Highwall mining. 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. Mining Machinery: Generation and transmission of mechanical, hydraulic and pneumatic power; Materials handling: Wire ropes, haulages, conveyors. Face and development machinery; Hoisting systems; Pumps; Comminution methods and machinery. Section 5: Surface Environment, Mine Ventilation and Underground Hazards Surface Environment: Air, water and soil pollution—standards of quality, causes and dispersion; Control measures; Noise pollution and control; Land reclamation; Environmental Impact Assessment (EIA). Mine Ventilation: Underground atmosphere; Heat load sources and thermal environment; Air cooling; Mechanics of airflow; Air distribution; Natural and mechanical ventilation; Mine fans and usage; Auxiliary ventilation; Ventilation survey and planning; Ventilation networks. Underground Hazards: Mine gases; Methane drainage; Hazards from fires, explosions, dust and inundation; Rescue apparatus and practices; Safety management plan; Accident data analysis and assessment; Mine lighting; Mine legislation; Occupational health and safety. Section 6: Mineral Economics, Mine Planning and Systems Engineering Mineral Economics: Mineral resource classification; Discounted cash flow analysis; Mine valuation; Mineral taxation. Mine Planning: Sampling methods and interpretation; Reserve estimation techniques; Basics of geostatistics and quality control; Optimization of facility location; Mine planning and its components; Determination of mine size and mine life; Ultimate pit configuration; Optimum mill cut-off grade and its determination; Stope planning; Haul road design; Selection of mining system and equipment. Systems Engineering: Reliability concepts; Reliability of simple systems; Maintainability and availability; Linear programming; Transportation and assignment problems; Network analysis; Inventory models; Queuing theory; Decision trees