# 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**

- Gradient
- 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**

- Methods of access to deposits
- Underground drivages
- Drilling methods and machines
- Explosives, blasting devices and practices

**Unit 2: Mine Surveying**

- Levels and leveling, theodolite, tacheometry and triangulation
- Contouring
- Errors and adjustments
- 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
- 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
- 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

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