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

Engineering Mechanics: Statics, Dynamics, Vibrations, Strength of Materials: Stress-Strain, Bending, Torsion, Thermodynamics Basics and Heat Transfer, Fluid Mechanics and Hydraulic Machines Basics, Electrical and Electronics Engineering Basics

Casting: Patterns, Mould Design, Solidification, Metal Forming: Forging, Rolling, Extrusion, Sheet Metal, Joining: Welding, Brazing, Adhesive Bonding, Powder Metallurgy and Plastics Processing

Machining: Chip Formation, Tool Life, Cutting Forces, Machine Tools: Lathe, Milling, Grinding, Non-Traditional Machining: EDM, ECM, Laser, Metrology: Limits, Fits, Gauges, Surface Finish, CNC and Flexible Manufacturing Systems

Metrology and Inspection Planning, Statistical Quality Control: Control Charts, Process Capability, Acceptance Sampling Plans, Reliability: Series/Parallel Systems, MTBF, Failure Analysis, Total Quality Management, Six Sigma, ISO 9000

Product Design and Value Engineering, Work System Design: Method Study, Time Study, Ergonomics, Facility Design: Plant Layout, Material Handling, Production Planning and Control: Forecasting, Scheduling, Inventory Control and Supply Chain Management

Linear Programming: Simplex, Duality, Transportation and Assignment Models, Queueing Theory and Markov Chains, PERT/CPM and Simulation Basics, Decision Analysis and Game Theory