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

First and Second Laws, Entropy, Free Energy and Phase Equilibria, Solution Thermodynamics: Fugacity, Activity, Ellingham Diagrams and Selective Oxidation, Adsorption and Mass Transfer Kinetics

Kinetics of Metallurgical Reactions, Diffusion: Fick's Laws and Applications, Heat Transfer in Metallurgical Systems, Boundary Layer Theory

Comminution, Flotation and Magnetic Separation, Agglomeration: Sintering, Pelletisation, Blast Furnace Ironmaking, Direct Reduction Processes

BOF, EAF and Secondary Steelmaking, Casting of Steel: Continuous Casting, Extraction of Cu, Al, Zn, Pb, Hydrometallurgy and Electrometallurgy

Crystal Imperfections and Dislocation Theory, X-Ray Diffraction and Metallography, Phase Diagrams: Binary and Ternary, Phase Transformations: Nucleation, Growth, TTT/CCT

Annealing, Normalising, Hardening, Tempering, Strengthening Mechanisms, Fatigue, Creep and Fracture, Ferrous and Non-Ferrous Alloys: Steels, Cast Irons, Al, Ti, Ni Alloys

Elastic and Plastic Deformation, Dislocation Theory and Work Hardening, Tensile Testing and Hardness, Fracture Mechanics: Ductile/Brittle, Griffith Theory, Fatigue Crack Growth, Creep Mechanisms

Forging, Rolling, Extrusion, Drawing, Casting Processes and Solidification, Powder Metallurgy: Compaction and Sintering, Welding Metallurgy: Heat Affected Zone, Defects