# GATE Mining Engineering Syllabus

## Subject Code: MN

### Course Structure

Sections/Units Topics
Section A Engineering Mathematics
Unit 1 Linear Algebra
Unit 2 Calculus
Unit 3 Vector Calculus
Unit 4 Differential Equations
Unit 5 Probability and Statistics
Unit 6 Numerical Methods
Section B Mine Development and Surveying
Unit 1 Mine Development
Unit 2 Mine Surveying
Section C Geomechanics and Ground Control
Unit 1 Engineering Mechanics
Unit 2 Geomechanics
Unit 3 Ground Control
Section D Mining Methods and Machinery
Unit 1 Mining Methods
Unit 2 Mining Machinery
Section E Surface Environment, Mine Ventilation, and Underground Hazards
Unit 1 Surface Environment
Unit 2 Mine Ventilation
Unit 3 Subsurface Hazards
Section F Mine Economics, Mine Planning, Systems Engineering
Unit 1 Mine Economics
Unit 2 Mine Planning
Unit 3 Systems Engineering

### Course Syllabus

Section A: Engineering Mathematics

Unit 1: Linear Algebra

• Matrices and Determinants
• Systems of linear equations
• Eigen values and Eigen vectors

Unit 2: Calculus

• Limit, continuity and differentiability
• Partial Derivatives
• Maxima and minima
• Sequences and series
• Test for convergence
• Fourier series

Unit 3: Vector Calculus

• Divergence and Curl
• Line
• Surface and volume
• Integrals
• Stokes, Gauss and Green’s theorems

Unit 4: Differential Equations

• Linear and non-linear first order ODEs
• Higher order linear ODEs
• with constant coefficients
• Cauchy’s and Euler’s equations

Unit 5: Probability and Statistics

• Measures of central tendency
• Random variables
• Poisson, normal and binomial distributions
• Correlation and regression analysis

Unit 6: Numerical Methods

• Solutions of linear algebraic equations
• Integration of trapezoidal and Simpson’s rule
• Single and multi-step methods for differential equations

Section B: Mine Development and Surveying

Unit 1: Mine Development

• Underground drivages
• Drilling methods and machines
• Explosives, blasting devices and practices

Unit 2: Mine Surveying

• Levels and leveling, theodolite, tacheometry and triangulation
• Contouring
• Correlation
• Underground surveying
• Curves
• Photogrammetry
• Field astronomy
• EDM and Total Station
• Introductory GPS

Section C: Geomechanics and Ground Control

Unit 1: Engineering Mechanics

• Equivalent force systems
• Equations of equilibrium
• Two dimensional frames and trusses
• Free body diagrams
• Friction forces
• Particle kinematics and dynamics
• Beam analysis

Unit 2: Geomechanics

• Geo-technical properties of rocks
• Rock mass classification
• Instrumentation and stress measurement techniques
• Theories of rock failure
• Ground vibrations
• Stress distribution around mine openings
• Subsidence
• Rock bursts and coal bumps
• Slope stability

Unit 3: Ground Control

• Design of pillars
• Roof supporting systems
• Mine filling

Section D: Mining Methods and Machinery

Unit 1: Mining Methods

• Surface mining −
• Layout
• Development
• Transportation and mechanization
• Continuous surface mining systems
• Underground coal mining −
• Bord and pillar systems
• Room and pillar mining
• Longwall mining
• Thick seam mining methods
• Highwall mining
• Underground metal mining −
• Open, supported and caved stoping methods
• Stope mechanization
• Ore handling systems

Unit 2: Mining Machinery

• Generation and transmission of mechanical, hydraulic and pneumatic power
• Materials handling −
• Haulages
• Conveyors
• Face and development machinery
• Hoisting systems
• Pumps
• Crushers

Section E: Surface Environment, Mine Ventilation, and Underground Hazards

Unit 1: Surface Environment

• Air, water and soil pollution −
• Standards of quality
• Causes and dispersion of contamination
• Control
• Noise
• Land reclamation

Unit 2: Mine Ventilation

• 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
• Ventilation networks

Unit 3: Subsurface Hazards

• Mine Gases
• Underground hazards from fires, explosions, dust and inundation
• Rescue apparatus and practices
• Safety in mines
• Accident data analysis
• Mine lighting
• Mine legislation
• Occupational safety

Section F: Mine Economics, Mine Planning, Systems Engineering

Unit 1: Mine Economics

• Mineral resource classification
• Discounted cash flow analysis
• Mine valuation
• Mine investment analysis
• Mineral taxation

Unit 2: Mine Planning

• Sampling methods, practices and interpretation
• Reserve estimation techniques −
• Basics of geostatistics and quality control
• Optimization of facility location
• Work-study

Unit 3: Systems Engineering

• Concepts of reliability
• Reliability of simple systems
• Maintainability and availability
• Linear programming, transportation and assignment problems
• Network analysis
• Inventory models
• Queueing theory
• Basics of simulation