## GATE Syllabus for Mining Engineering

### 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 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 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.

### MINING ENGINEERING

**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 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, 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 fundamentals.

Work-study; Concepts of reliability, reliability of series and parallel systems.

Linear programming, transportation and assignment problems, queueing, network analysis, basics of simulation.