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

Sedimentology and Petroleum Geology Basics, Structural and Stratigraphic Traps, Source Rocks, Maturation and Migration, Seismic Methods and Well Logging for Exploration, Reserves Estimation

Drilling Fluids and Circulation Systems, Rig Equipment and Bits, Casing Design and Cementing, Directional Drilling and Deviation Control, Well Control: Blowout Prevention

Reservoir Rock and Fluid Properties: Porosity, Permeability, Saturation, Capillary Pressure and Relative Permeability, Material Balance and Drive Mechanisms, Well Testing: Pressure Transient Analysis, Enhanced Oil Recovery: Water Flooding, Gas Injection, EOR Methods, Reservoir Simulation Basics

Well Completion and Perforation, Artificial Lift: Sucker Rod Pumps, ESP, Gas Lift, Nodal Analysis and Production Optimisation, Well Stimulation: Acidising, Hydraulic Fracturing, Sand Control and Workover Operations, Oil and Gas Separation, Surface Facilities Basics, Pipeline Transport and Storage, HSE: Safety Systems, Environmental Management in O&G