GATE 2027 Mining Engineering (MN)
Detailed topic-wise syllabus breakdown.
Linear Algebra
Matrices and Determinants; Inverse and Rank of matrix; Systems of linear equations; Eigen values and Eigen vectors.
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; 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
Probability: Joint, Conditional, Bayes' Theory; Descriptive Statistics; Sampling theory and hypothesis testing; Binomial, Poisson, exponential and normal distributions; Pearson Correlation and linear regression.
Numerical Methods
Solutions of linear algebraic equations; Interpolation; Integration of trapezoidal and Simpson's rule; Single and multi-step methods for differential equations.
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 initiation system, blasting tools, blast design practices; ground vibration
Mine Surveying
Levels and levelling, tacheometry, triangulation; Errors and adjustments; Correlation; Underground surveying; Curves and contouring; Photogrammetry; Theodolite, EDM, Total Station, GPS, Remote sensing and Astronomical survey.
Engineering Mechanics
Equivalent force systems; Equations of equilibrium; Two dimensional frames and trusses; Friction forces; Particle kinematics and dynamics; Beam analysis.
Geomechanics
Geo-technical properties of rocks; Rock mass classification; Instrumentations and in-situ stress measurement techniques; Theories of rock failure; Stress distribution around mine openings; Subsidence; Slope and Dump stability.
Ground Control
Design of pillars and supporting systems; Mine filling. Strata Control.
Mining Methods
Surface mining: layout and haul road development, loading, transportation and mechanization, continuous mining systems; highwall mining; Underground coal mining:bord and pillar systems, longwall mining, thick seam mining methods, Underground metal mining: open, supported and caving 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 machineries, hoisting systems, pumps; comminution methods and machinery, Rock-tool interaction and mechanical cutting.
Surface Environment
Air, water and soil pollution: Standards of quality, causes and dispersion of contamination and control; Noise pollution and control; Land reclamation; EIA.
Mine Ventilation
Underground atmosphere; Heat load sources and thermal environment, air cooling; Mechanics of airflow, distribution, natural and mechanical ventilation; Mine fans and usage; Auxiliary ventilation; Ventilation survey and planning; Ventilation networks.
Underground Hazards
Mine Gases, Methane drainage; Underground hazards from fires, explosions, dust and inundation; Rescue apparatus and practices; Safety management plan; Safety data analytics; Mine illumination; Mine legislation; Occupational health and safety.
Mineral Economics
Mineral resource classification; Discounted cash flow analysis; Mine valuation; Mineral taxation.
Mine Planning
Sampling methods, practices 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 design; Grade-tonnage relationship, ore dilution, recovery and cut-off grade; Equipment Selection.
Systems Engineering
Concepts of reliability; Reliability of simple systems; Maintainability and availability; Linear programming, transportation and assignment problems; Network analysis; Inventory models; Queuing theory.