Engineering Mathematics and subject specific areas in mining engineering are included under the syllabus for GATE (Mining Engineering). Topics like Linear Algebra, Vector Calculus, Probability and Statistics, mechanics, Mining Methods and machinery, Geomechanics, Mine planning and Systems engineering and Mine Development are included under the syllabus.

Detailed Syllabus for GATE (Mining Engineering)

Engineering Mathematics

• Vector Calculus
• Test for convergence
• Stokes
• Standard Deviation
• Solutions of linear and non-linear algebraic equations
• Single and multi-step methods for differential equations
• Sequences and series
• Random variables
• Probability and Statistics
• Poisson distribution
• PDEs –Laplace, heat and wave equations
• Partial Derivatives
• Numerical Methods
• Normal distribution
• Mode
• Median
• Mean
• Maxima and minima
• Linear and non-linear first order ODEs
• Line, surface and volume integrals
• Laplace transforms
• Integration of trapezoidal and Simpson’s rule
• Higher order linear ODEs with constant coefficients
• Gradient
• Gauss and Green’s theorems
• Fourier series
• Divergence and Curl
• Differential Equations
• Correlation and Regression analysis
• Continuity and differentiability
• Cauchy’s and Euler’s equations
• Calculus Limit
• Binomial distribution

Mining Engineering

• Air, water and soil pollution
• Air cooling
• Ventilation planning
• Ventilation
• Underground surveying
• Underground metal mining
• Underground Hazards and Surface Environment
• Underground drivages
• Underground coal mining
• Underground atmosphere
• Two dimensional frames and trusses
• Triangulation
• Transportation and assignment problems
• Total station and GPS fundamentals
• Thick seam mining methods
• Theories of rock failure
• Theodolite
• Tachometry
• Surveying
• Surface mining transportation and mechanization
• Surface mining layout
• Surface mining development and loading
• Subsurface hazards from fires
• Subsidence
• Stress distribution around mine openings
• Stope mechanization
• Slope stability
• Sampling methods and practices
• Safety in mines
• Room and pillar mining
• Rock mass classification
• Rock bursts and coal bumps
• Reserve estimation techniques
• Rescue apparatus and practices
• Reliability of series and parallel systems
• Reclamation and control
• Queuing
• Quality standards
• Principles of planning
• Pollution causes and Dispersion
• Photogrammetry
• Particle kinematics and dynamics
• Ore handling systems
• Optimization of facility location
• Open, supported and caved stoping methods
• Open pit design
• Occupational health and risk
• Noise
• Network analysis
• Natural and mechanical ventilation
• Mining Methods and Machinery
• Mine Planning and Systems Engineering
• Mine lighting
• Mine filling
• Mine fans and their usage
• Mine Development
• Methods of access to deposits
• Mechanics of air flow and Distribution
• Mechanics
• Materials handling
• Long wall mining
• Linear programming
• Levels and leveling
• Instrumentation and stress measurement techniques
• Hoisting systems and pumps
• Heat load sources and thermal environment
• Haulages, conveyors, face and development machinery
• Ground vibrations
• Ground Control
• Ground control
• GIS fundamentals
• Geo-technical properties of rocks
• Geomechanics
• Generation and transmission of mechanical, hydraulic and pneumatic power
• Gases, dust and inundation
• Fundamentals of engineering surveying
• Friction forces
• Free body diagrams
• Field astronomy
• Explosives blasting devices and practices
• Explosions
• Errors and adjustments
• Equivalent force systems
• Equations of equilibrium
• EDM
• Drilling methods and machines
• Design of supports in roadways and workings
• Curves
• Correlation
• Contouring
• Continuous surface mining systems
• Concepts of reliability
• Cash flow concepts and mine valuation
• Bord and pillar systems
• Basics of simulation
• Basics of geostatistics and quality control
• Auxiliary ventilation
• Accident analysis

Candidates should be thorough with all the specific subject concepts studied in graduate course level to clear GATE (Mining Engineering).