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

Free-Body Diagrams and Equilibrium, Friction and Its Applications, Trusses and Frames, Kinematics and Dynamics of Particles and Rigid Bodies, Impulse and Momentum, Work-Energy Theorem

Stress and Strain, Elastic Constants, Axial, Shear and Bending Moment Diagrams, Torsion of Circular Shafts, Mohr's Circle and Principal Stresses, Euler Buckling of Columns, Deflection of Beams, Thin Cylinders and Strain Energy

Kinematics of Mechanisms: Velocity and Acceleration Analysis, Gears and Gear Trains, Cams and Followers, Flywheels and Governors, Balancing of Rotating Masses, Vibrations: Free and Forced, Damping, Resonance

Failure Theories and Fatigue Loading, Design of Bolted, Riveted and Welded Joints, Shafts, Keys and Couplings, Springs, Gears and Bearings, Clutches and Brakes, Static and Dynamic Load Ratings

Fluid Properties and Statics, Manometry and Forces on Submerged Bodies, Control-Volume Analysis: Mass, Momentum and Energy, Bernoulli Equation and Applications, Laminar and Turbulent Pipe Flow, Boundary Layers and Drag/Lift, Dimensional Analysis and Similitude

Conduction: Steady and Transient, Composite Walls, Fins and Critical Radius, Convection: Free and Forced, Dimensionless Numbers, Radiation: Black Body, View Factors, Networks, Heat Exchangers: LMTD and NTU Methods, Boiling and Condensation Basics

Zeroth, First and Second Laws, Entropy and Irreversibility, Availability and Exergy, Pure Substances and Property Diagrams, Air-Standard Power Cycles: Otto, Diesel, Brayton, Vapour Power Cycles: Rankine and Reheat, Refrigeration Cycles: Vapour Compression, COP

Power Engineering: Steam and Gas Turbines, Compressors, I.C. Engines: Performance, Combustion, Emissions, Refrigeration and Air-Conditioning: Psychrometry and Loads, Turbomachinery: Pelton, Francis, Kaplan Turbines

Crystal Structures and Defects, Binary Phase Diagrams and Iron-Carbon Diagram, Heat Treatment: Annealing, Normalising, Quenching, Tempering, Properties and Applications of Metals, Ceramics, Polymers and Composites

Sand Casting: Patterns, Moulds, Gating and Riser Design, Special Casting Processes, Forging, Rolling, Extrusion and Drawing, Sheet Metal Working: Shearing, Bending, Deep Drawing, Welding: Arc, Gas, Resistance, Solid State, Welding Defects and Metrology of Welds, Brazing and Soldering

Mechanics of Machining: Chip Formation, Cutting Forces, Tool Wear, Tool Life and Machinability, Turning, Drilling, Milling, Grinding, Non-Traditional Machining: EDM, ECM, USM, LBM, CNC Machines and Part Programming, Metrology: Limits, Fits, Tolerances, Gauge Design

Forecasting and Aggregate Planning, Inventory Control: EOQ, ABC Analysis, Scheduling: Johnson's Rule, Sequencing, PERT and CPM, Linear Programming: Simplex Method, Transportation and Assignment Problems, Queuing Theory and Markov Chains, Statistical Quality Control: Control Charts, Acceptance Sampling