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

Ship Geometry: Lines Plan, Form Coefficients, Displacement, Buoyancy and TPC Calculations, Stability: Initial, Free Surface, Large Angle, Inclining Experiment and Launching Calculations

Statics and Dynamics of Rigid Bodies, Strength of Materials: Bending, Shear, Torsion, Ship Structural Components and Framing Systems, Structural Analysis of Ship Hulls

Fluid Properties and Statics, Bernoulli and Momentum Equations, Boundary Layers and Viscous Flow, Potential Flow Around Bodies, Wave Mechanics: Regular Waves, Motion in Waves, Seakeeping and Manoeuvring Basics

Components of Ship Resistance: Frictional, Wave, Form, Model Testing and Froude Number Scaling, Propeller Geometry and Theory, Propeller Performance: Cavitation, Hull-Propeller Interaction, Propeller Types: Fixed Pitch, Controllable Pitch

Marine Diesel Engines and Cycles, Steam Turbines and Boilers on Ships, Marine Auxiliary Machinery: Pumps, Steering Gear, Electrical Systems on Ships, Ship Safety: Fire Fighting, Life Saving, Pollution Prevention (MARPOL)