Basic English Grammar, Tenses, Articles and Adjectives, Prepositions, Conjunctions, Verb-Subject Agreement, Vocabulary: Idioms and Words in Context, Reading Comprehension, Sequencing of Ideas, Critical Reasoning and Verbal Deduction

Data Interpretation: Tables, Graphs and Charts, Numerical Computation and Estimation, Ratios, Percentages, Powers and Exponents, Logarithms, Permutations and Combinations, Mensuration, Geometry and Elementary Statistics, Probability

Logic: Deduction and Induction, Analogy, Numerical Relations and Reasoning

Transformation of Shapes: Translation, Rotation, Scaling, Mirroring, Assembling and Grouping, Paper Folding, Cutting and Inking, Patterns in 2 and 3 Dimensions

Matrix Algebra and Rank, Systems of Linear Equations, Eigenvalues and Eigenvectors, Cayley-Hamilton Theorem

Mean Value Theorems, Maxima and Minima, Partial Derivatives and Multiple Integrals, Gradient, Divergence and Curl, Line, Surface and Volume Integrals, Stokes', Gauss' and Green's Theorems

First Order Equations: Linear and Nonlinear, Higher Order Linear Equations with Constant Coefficients, Cauchy's and Euler's Equations, Initial and Boundary Value Problems, Laplace Transforms

Analytic Functions, Cauchy-Riemann Equations, Cauchy's Integral Theorem and Integral Formula, Taylor and Laurent Series, Residue Theorem

Sampling Theorems and Conditional Probability, Mean, Median, Mode and Standard Deviation, Random Variables and Distributions, Binomial, Poisson and Normal Distributions, Correlation and Regression Analysis

Numerical Solutions of Linear and Nonlinear Algebraic Equations, Iterative Methods and Convergence, Numerical Integration and Differentiation, Single and Multi-step Methods for ODEs

Modes of Entry: Shaft, Incline, Adit, Shaft Sinking and Development Systems, Explosives and Blasting, Rock Fragmentation Basics

Leveling and Theodolite Applications in Mines, Correlation and Orientation Surveys, Contours and Tacheometry, underground mine plans and sections

Rock Mass Classification and Properties, Theories of Rock Failure, Ground Stress and Strain Analysis, Subsidence and Slope Stability, Pillar Design and Roof Supporting Systems, Ground Control in Longwall and Bord-and-Pillar Mining

Surface Mining: Open Pit, Stripping Ratios, Haul Roads, Underground Coal Mining: Bord-and-Pillar, Longwall, Underground Metal Mining: Stoping Methods, Thick Seam and Special Seams Mining

Face and Development Machinery, Conveyors and Haulage Systems, Winding Engines and Headframes, Pumps and Compressors in Mines, Continuous Miners and Longwall Equipment

Mine Air and Ventilation Networks, Natural and Mechanical Ventilation, Distribution Systems and Auxiliary Ventilation, Dust and Climate Control in Mines

Gas Hazards: Methane Drainage, Outbursts, Spontaneous Combustion, Fires and Explosions, Mine Fires, Inundation and Rescue, Air, Water and Noise Pollution in Mining Areas, Mine Legislation and Safety (Mines Act)

Mineral Resource Estimation and Reserve Classification, Mine Valuation and Feasibility Studies, Life-of-Mine Planning and Scheduling, Linear Programming and Queueing in Mine Systems, Reliability and Decision-Making Tools, Coal and Mineral Markets, Pricing