Group Code: MN2018–2021 Complete Curriculum

Mining Engineering Complete Syllabus

Includes mandatory common subjects and core branch subjects for lateral entry.

Engineering Mathematics (Common)

40 Marks
1

Matrices & Determinants

06 Marks
  • Basic concepts of Matrices (Addition, Subtraction and Multiplication), Determinants: Problems on finding unknown quantity in a 2nd and 3rd order determinants using expansion.
  • Solving simultaneous linear equations using determinant method (Cramer’s rule up to 3rd order).
  • Matrices: Minors, Cofactors, Adjoint and Inverse of matrices of 2nd order.
  • Characteristic equation and roots of a square matrix.
2

Vectors

03 Marks
  • Magnitude of a vector.
  • Position vector.
  • Expression of vector in terms of position vectors.
  • Vector in plane and in space in terms of unit vectors i, j and k respectively.
  • Product of vectors.
  • Scalar and vector product.
  • Applications of dot and cross products i.e., Projection of vector on another vector, Area of parallelogram and area of triangle.
  • Work done by a force and moment of force.
3

Probability

01 Marks
  • Random Experiments, Sample Space, Events, Types of Events, Algebra of Events, Complementary event, the events A or B, A and B, A but not B, Mutually Exclusive Events, Exhaustive events, Simple problems.
4

Allied Angles and Compound Angles

06 Marks
  • Signs of Trigonometric ratios, Trigonometric ratios of Allied Angles in terms of θ.
  • Formulae for Sin(A±B), Cos(A±B) & tan(A±B) and problems on them.
  • Multiple and sub multiple angle formulae for 2A & 3A and simple problems.
  • Transformation formulae on sum or difference into products & products into sum or difference and problems on them.
5

Complex Numbers

01 Mark
  • Definition of complex number in the form of a + ib.
  • Conjugate of complex number.
  • Algebra of complex numbers, modulus and principal value of argument of complex number.
  • Polar form Z = r Cosθ + iSinθ.
6

Limits

03 Marks
  • Evaluation of limit of functions by factorization, rationalization, limits when n→∞.
  • Problems on algebraic limits based on formula lim(x→a) (xⁿ − aⁿ)/(x−a) = n·aⁿ⁻¹.
  • Problems on trigonometric limits based on formula lim(θ→0) (sinθ/θ) = 1.
7

Straight Lines

02 Marks
  • Problems on different forms of equations of straight lines such as: y = mx+c, (y-y₁) = m(x-x₁), (y-y₁) = (y₂-y₁)/(x₂-x₁)·(x-x₁).
  • Problems on equation of lines through a point and parallel or perpendicular to a given line.
  • Finding Slope, X-intercept and Y-intercept of general equation ax + by + c = 0.
8

Differentiation Rules

06 Marks
  • Problems on rules of differentiation: (Sum rule, product rule and quotient rule).
  • Problems on function of a function and inverse trigonometric functions.
  • Derivative of implicit functions, and parametric functions and problems.
  • Successive differentiation up to second order and problems on them.
  • Differentiation of Logarithmic functions of types uᵛ, Where u and v are functions of x, Simple problems.
9

Applications

02 Mark
  • Equations of tangent and normal to the curve y = f(x) at a given point and problems.
  • Derivative as a rate measure i.e. to find the rate of change of displacement, velocity, radius, area, volume using differentiation and problems on them.
10

Integration Rules

05 Marks
  • Rules of integration and problems.
  • Problems on integration by the method of substitution and by parts.
11

Definite Integrals

02 Mark
  • Simple problems on definite integrals.
  • Problems on applications of definite integrals such as area and volume.
12

Differential Equations

03 Mark
  • Order and Degree of Differential Equations, Formation of differential equation by eliminating arbitrary constants up to second order.
  • Problems on solution of linear differential equations of first order by variable separable method and integrating factor method.

Applied Science (Common)

40 Marks
1

Unit-I: Mechanics

07 Marks
  • Units: Unit, types of units, SI unit - Basic and Supplementary units, advantages.
  • Measuring instruments: Vernier calipers - principle and least count.
  • Screw gauge - principle, ZE, ZC, pitch and least count.
  • Simple problems on vernier calipers and screw gauge.
  • Scalars and vectors: scalar and vector with example, resultant, equilibrium, equilibrant.
  • Laws of vectors - parallelogram law of vectors, triangle law of vectors, Lami’s theorem.
  • Expression for magnitude and direction of resultant of two vectors acting at a point.
  • Rectangular component of resolution of a vector - simple problems on laws of vectors.
  • Parallel forces: Types of parallel forces, moment of force, couple, moment of couple, simple problems on moment of force.
2

Unit-II: Properties of Solids and Liquids

07 Marks
  • Properties of solids: Deforming force, elasticity and plasticity with examples, stress and its types with example, strain and its types with example, Hooke’s Law, Moduli of elasticity and its types - simple problems on stress and strain.
  • Properties of Liquids: Thrust and pressure, expression for pressure at a point inside the liquid at rest - simple problems.
  • Surface tension: Cohesive and Adhesive forces with examples, surface tension, factors affecting surface tension, application of surface tension.
  • Capillarity and its applications.
  • Viscosity: viscosity, expression for co-efficient of viscosity, effect of temperature on viscosity of liquid and gas, applications of viscosity - simple problems on co-efficient of viscosity.
3

Unit-III: Heat and Properties of Gases

05 Mark
  • Concept of Heat and Temperature: Heat and Temperature, Specific Heat of substance.
  • Transmission of Heat: conduction, convection and radiation with example, Applications of conduction and convection and radiation.
  • Gas laws: Boyle’s law, Charle’s law and Gay-Lussac’s law (statement with expression), expression PV=nRT, Cp and Cv and its relation - simple problems on gas laws.
4

Unit-IV: Wave Motion

08 Marks
  • Simple Harmonic Motion: Periodic motion with example, SHM, expression for displacement of a particle executing SHM.
  • Wave: Wave motion, wave period, wave frequency, wave amplitude, wave length and wave velocity, relation between wave frequency, wave length and wave velocity - problems on V=nλ.
  • Mechanical waves and Non-Mechanical waves with examples, Longitudinal and Transverse waves with example.
  • Propagation of sound waves in air: Newton – Laplace’s formula for velocity of sound in air and various factors affecting velocity of sound in air.
  • Vibrations: Free vibration, forced vibration and resonance with example.
  • Laws of transverse vibration of stretched string, expression for fundamental frequency of vibration of stretched string – simple problems on fundamental frequency.
  • Stationary waves: Stationary waves and its characteristics, beat, beat frequency, application of beats.
5

Unit-V: Modern Physics

05 Mark
  • Electromagnetic waves: Electromagnetic waves and its properties, electromagnetic spectrum and its applications.
  • Laser: Laser, properties of laser and its applications.
  • Nano-technology: Nanotechnology, advantages and dis-advantages of nanotechnology.
  • Communication system: Basic elements of communication system, advantages and dis-advantages of satellite communication system.
  • Optical fibre: Optical fibre - principle and its applications.
6

Unit-VI: Industrial Chemistry

08 Marks
  • Electrolysis: Electrolyte, types of electrolyte with example, electrolysis, Postulates of Arrhenius theory of electrolytic dissociation, Faraday’s First and Second law of electrolysis - simple problems on Faraday’s laws.
  • Corrosion: Corrosion, conditions for corrosion, preventive methods of corrosion.
  • Batteries: Battery, classification and its application.
  • Fuel cells: Fuel cell, types and advantages of fuel cells.
  • Metallurgy: Definition of mineral, ore, flux, slag and alloys.
  • Purpose of making alloys and its applications.
  • Polymers: polymers and its types, application of polymers.
  • Composite materials: Composite material and its types, advantages and dis-advantages of composite material. pH Value: pH value of a solution, pH scale, application of pH in different fields.

Core Branch Subjects (MN)

100 Marks
1

Mine Environment and Ventilation

20 Marks
  • Cooling power and the instrument to find cooling power.
  • Normal air composition, Physical, Chemical and Physiological effects of following gases: Oxygen, Nitrogen, Carbon dioxide, Black damp, White damp, Stink damp, Firedamp.
  • Different gas detectors and detector tubes.
  • Down cast, up cast, Homotropal, Antitropal, and Assentional and Discentional ventilation.
  • Flame safety lamp (FSL) and its safety aspects.
  • The procedure of finding accumulation and percentage of methane by using a FSL.
  • Barometer, Aneroid barometer, Manometer and inclined manometer and Pitot tube.
  • The procedure of using the following velocity measuring instruments (a) Smoke and dust method. (b) Anemometer.
  • Self-contained breathing apparatus, Gas mask, Self-rescuer used in mines, Portable type Fire fighting equipments.
2

Geology and Rock Mechanics

20 Marks
  • Definition of Geology and its branches.
  • Weathering and its types.
  • Physical properties of Minerals.
  • Folds, Faults & Joints.
  • Igneous, Sedimentary and Metamorphic Rocks.
  • Textures, Structures.
  • Maps & its types.
  • Ore Mineral, Gangue Mineral & tenor of Ore.
  • Process of formation- Magmatic, Hydrothermal & Mechanical Concentration.
  • Hydrology: Zone of Saturation, Zone of Aeration.
  • Aquifer, Aquifuge & Aquiclude.
  • Importance of Rock Mechanics: Problems and application of rock mechanics.
  • Physical properties of rocks: Porosity, Density, Water content, Permeability, Thermal and electrical properties, Anisotropy and durability.
  • Mechanical properties of rocks: Compressive, Tensile, Shear, point load and Flexural strength.
  • Elasticity, Plasticity, Poisson’s ratio, Young’s modulus, Deformability, Stress strain graph, Hardness, Mohr’s scale of Hardness.
  • Ground vibration: Prediction and control measures.
  • Improvement of rock mass properties: Grouting, Methods of grouting, Rock bolts and types, Rock mass classification and slope stability
3

Mine Legislation and General Safety

20 Marks
  • Mine Act 1952: Meaning of the terms, Mine Act, Regulations, Rules, Bye-laws, standing orders, and situations under which act does not apply.
  • Provisions of Mines Act in respect of Drinking water health and hygiene conservancy, Medical appliances, hours and limitation of employment - Leave with wage.
  • Mines Rules 1955: Mine rules related to drinking water, lavatories, and urinals with on surface and in Underground first aid.
  • Coal Mines Regulations 1957/ Metalliferous Mines Regulations 1961: Regulations related to motive of accidents, Duties of managers, Asst/under Managers, Overman, foreman and surveyor, Mine plans and Sections, Means of Access and egress, ladder and ladder ways, Transport of men and material-winding in shafts, Haulage, Mine working, Precautions against dangers from fires dust, gas and water.
  • General Safety in Mines: Classification of accidents causes for accidents, accident preventive measures, Inspection of accidents, Investigation of accidents, Accident enquiry reports.
  • Notified miner's diseases, occupational health survey, preventive measures, permissible Standard of dusts and threshold values (T.L.V.)
4

Method of Working-Opencast and Underground

20 Marks
  • Quarriable limits, design of benches (Manuel and mechanised).
  • Slope stability.
  • Common drilling and blasting methods used in open cast mining.
  • Explosives used in open cast mining such as ANFO, LOX, slurry and emulsion.
  • Magazine.
  • Bucket wheel excavator, Dipper shovel, ripper, bulldozer, dragline and scrapper.
  • Underground Mining; Shaft, adit, drive, crosscut, bin, and stope , shapes of shafts: Vertical shaft, Incline shaft, compound shaft and Adit.
  • Reef drive, Foot wall drive.
  • Sub level stoping , cut and fill, shrinkage stoping.
  • Special method of shaft sinking: Piling method of shaft sinking, Caisson method of shaft sinking, Cementation method, Freezing method of shaft sinking.
  • Dome’s theory, Prediction of rock burst, The measures to control rock burst.
  • Coal Mining: Definition of terms Galleries, Pillar, Goaf, Drift, Heading, Face, Cross- Cut, Panel, Barrier.
  • Height of Gallery, width, position, shape, pillar size and panel.
  • Long wall mining method (advancing and retreating).
  • Basic terminology of long wall face like Face, Gate, Tailgate, Goaf line.
  • Subsidence; subsidence factor, angle of draw, critical width, Critical area, sub critical area, super critical area factors affect the subsidence.
  • General principles of underground coal gasification.
  • Definition of Feed .
5

Mine surveying

20 Marks
  • Compass Surveying: Introduction and purpose, Bearing & its type, Problems on bearings, Compass and its type, Dip and declination, Open and closed traverse, checks, Levelling: Terms used in levelling, Bench marks, Temporary adjustments of level , Concept of B.S, I.S, F.S, C.P, H.I, Simple levelling and differential levelling.
  • Levelling application: Different types of levelling – fly levelling, check levelling, profile levelling, cross sectioning, plotting of longitudinal and cross section, Contouring: Concepts of contour and terms used in contouring, characteristics of contour, uses of contours, Methods of contouring, Interpolation by arithmetical method, calculation of capacity of the reservoir.
  • Theodolite surveying: Component parts, different terms, Temporary adjustment of Theodolite.
  • Measurement of horizontal angles and vertical angles, Traversing with theodolite .
  • Checks for closed and open traverse.
  • Traverse computation-latitude, departure, closing error, balancing the traverse by Bowditch’s rule and Transit rule.
  • Triangulation survey: well-conditioned triangle, consideration for the selection of Triangulations station, Corrections required in the base line measurement.
  • Tachometry: Principles of Tachometry- Determination of stadia constants, elevations and distances by stadia Tachometry with staff held vertical and line of collimation horizontal and inclined, Tangential Tachometry – finding the elevations and distances all the three cases.
  • Modern Surveying Instruments: Global Positioning System (GPS) - Fundamentals, GPS receivers, GPS observations, transformation of GPS results, working principles of GPS navigator.
  • Modern Surveying Instruments- Principles and uses of (i) Electronic Theodolite (ii) EDM (iii) Total station.