1. Engineering Mathematics | Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues, eigenvectors |
Calculus: Functions of single variable, limits, continuity, differentiability, mean value theorems, integrals, Taylor series, gradient, divergence, curl, vector identities, line, surface, and volume integrals, Gauss, Stokes, and Green’s theorems |
Differential Equations: First-order equations, higher-order linear equations, Euler-Cauchy equation, Laplace transforms, heat, wave, and Laplace's equations |
Complex Variables: Analytic functions, Cauchy-Riemann equations, Cauchy’s integral theorem, Taylor and Laurent series |
Probability and Statistics: Probability definitions, sampling theorems, conditional probability, mean, median, mode, standard deviation, random variables, binomial, Poisson, and normal distributions |
Numerical Methods: Solutions of linear/non-linear equations, integration (trapezoidal, Simpson’s rules), differential equations methods |
2. Applied Mechanics and Design | Engineering Mechanics: Free-body diagrams, friction, trusses, virtual work, kinematics and dynamics, impulse and momentum, Lagrange’s equation |
Mechanics of Materials: Stress, strain, Mohr’s circle, shear force and bending moment diagrams, bending and shear stresses, deflection of beams, torsion, Euler’s theory, energy methods, thermal stresses |
Theory of Machines: Displacement, velocity, acceleration analysis, dynamic analysis of linkages, cams, gears, flywheels, governors, balancing, gyroscopes |
Vibrations: Free and forced vibrations, effect of damping, resonance, critical speeds |
Machine Design: Design for static and dynamic loading, failure theories, fatigue strength, design principles for machine elements (joints, shafts, gears, bearings, brakes, clutches, springs) |
3. Fluid Mechanics and Thermal Sciences | Fluid Mechanics: Fluid properties, fluid statics, forces on submerged bodies, control-volume analysis, differential equations of continuity and momentum, Bernoulli’s equation, dimensional analysis, viscous flow, boundary layer, flow through pipes, compressible flow |
Heat Transfer: Modes of heat transfer, heat conduction, fins, unsteady conduction, heat transfer correlations, heat exchangers, radiative heat transfer |
Thermodynamics: Thermodynamic systems and processes, properties of substances, ideal and real gases, laws of thermodynamics, thermodynamic charts and tables, availability, irreversibility, thermodynamic relations |
Applications: Power Engineering (compressors, power cycles), I.C. Engines (Otto, Diesel, dual cycles), Refrigeration and Air-Conditioning (refrigeration cycles, psychrometric processes), Turbomachinery (impulse and reaction principles, turbines) |
4. Materials, Manufacturing and Industrial Engineering | Engineering Materials: Structure, properties, phase diagrams, heat treatment, stress-strain diagrams |
Casting, Forming and Joining Processes: Types of castings, pattern design, solidification, plastic deformation, hot/cold working, metal forming, welding, brazing, soldering, adhesive bonding |
Machining and Machine Tool Operations: Machining mechanics, machine tools, cutting tools, tool geometry, tool life, economics, non-traditional machining, work holding, NC/CNC machines, CNC programming |
Metrology and Inspection: Limits, fits, tolerances, measurements, comparators, interferometry, form and finish measurement, CMM concepts |
Computer Integrated Manufacturing: CAD/CAM concepts, additive manufacturing |
Production Planning and Control: Forecasting, aggregate production planning, scheduling, materials requirement planning, lean manufacturing |
Inventory Control: Deterministic models, safety stock systems |
Operations Research: Linear programming, simplex method, transportation, assignment, network models, queuing models, PERT, CPM |
