Engineering Mathematics | Linear Algebra | Matrices and Determinants, Systems of Linear Equations, Eigenvalues and Eigenvectors. |
Calculus | Functions of Single Variable, Limits, Continuity, Differentiability, Mean Value Theorems, Definite and Improper Integrals, Partial and Total Derivatives, Maxima and Minima, Gradient, Divergence, Curl, Vector Identities, Directional Derivatives, Line, Surface, Volume Integrals, Stokes, Gauss, Green's Theorems. |
Differential Equations | First Order Equations (Linear/Nonlinear), Higher Order Linear Equations with Constant Coefficients, Cauchy's and Euler's Equations, Initial/Boundary Value Problems, Laplace Transforms, Solutions of Heat, Wave, and Laplace Equations. |
Complex Variables | Analytic Functions, Cauchy's Integral Theorem, Taylor and Laurent Series. |
Probability and Statistics | Definitions, Sampling Theorems, Conditional Probability, Mean, Median, Mode, Standard Deviation, Random Variables, Exponential, Poisson, Normal, Binomial Distributions. |
Numerical Methods | Numerical Solutions of Algebraic Equations, Integration by Trapezoidal/Simpson's Rule, Single/Multi-Step Methods for Differential Equations. |
Applied Mechanics and Design | Engineering Mechanics | Free Body Diagrams, Equilibrium, Friction, Rolling Friction, Belt-Pulley, Screw Jack, Wedge, Trusses, Frames, Virtual Work, Kinematics/Dynamics of Particles/Rigid Bodies, Impulse, Momentum, Energy Formulations. |
Strength of Materials | Stress and Strain, Elastic Constants, Poisson’s Ratio, Mohr's Circle, Thin Cylinders, Beam Diagrams, Bending and Shear Stresses, Deflection of Beams, Torsion of Shafts, Euler's Theory, Strain Energy Methods, Thermal Stresses, Material Testing. |
Theory of Machines | Displacement, Velocity, Acceleration, Plane Mechanisms, Dynamic Analysis, Slider-Crank Mechanism, Cam Mechanism, Gear Trains, Flywheels, Gyroscope, Governors, Balancing. |
Vibrations | Free and Forced Vibration, Damping Effects, Vibration Isolation, Resonance, Critical Shaft Speeds. |
Machine Design | Static/Dynamic Loading, Failure Theories, Fatigue Strength, S-N Diagram, Design of Machine Elements, Joints, Shafts, Gears, Bearings, Brakes, Clutches, Springs. |
Fluid Mechanics and Thermal Sciences | Fluid Mechanics | Fluid Properties, Fluid Statics, Manometry, Buoyancy, Stability, Fluid Acceleration, Continuity and Momentum Equations, Bernoulli's Equation, Viscous Flow, Boundary Layer, Turbulent Flow, Flow Through Pipes, Head Losses. |
Heat Transfer | Modes, One Dimensional Conduction, Resistance Concept, Electrical Analogy, Fins, Unsteady Conduction, Lumped Parameter System, Heisler Charts, Dimensionless Parameters, Convective Heat Transfer, Radiative Transfer, Heat Exchanger Performance, LMTD, NTU Methods. |
Thermodynamics | Systems and Processes, Properties of Pure Substances, Ideal/Real Gases, Zeroth/First Laws, Work and Heat Calculations, Second Law, Heat Pump Cycles, Thermodynamic Property Charts, Availability, Irreversibility, Thermodynamic Relations. |
Applications | Air Compressors, Power Cycles, I.C. Engines, Refrigeration and Air-Conditioning, Psychrometric Chart, Turbomachinery. |
Materials, Manufacturing, and Industrial Engineering | Engineering Materials | Structure, Properties, Heat Treatment, Stress-Strain Diagrams, Iron-Iron Carbide Diagram. |
Metal Casting | Types of Castings, Pattern Design, Moulds, Cores, Solidification, Cooling, Riser, Gating Design. |
Metal Forming | Plastic Deformation, Yield Criteria, Hot/Cold Working Processes, Load Estimation for Bulk/Sheet Forming, Powder Metallurgy. |
Joining Process | Welding, Brazing, Soldering, Adhesive Bonding. |
Machining and Machine Tool Operations | Mechanics of Machining, Machine Tools, Cutting Tools, Tool Life and Wear, Machining Economics, Non-Traditional Machining, Work Holding, Jigs and Fixtures, CNC Machines, CNC Programming. |
Metrology and Inspection | Limits, Fits, Tolerances, Measurements, Comparators, Interferometry, Form/Finish Measurement, Testing Methods, Tolerance Analysis, Coordinate- Measuring Machine (CMM). |
Computer Integrated Manufacturing | CAD/CAM Concepts, Integration Tools, Additive Manufacturing. |
Production Planning and Control | Forecasting Models, Production Planning, Scheduling, Materials Requirement Planning, Lean Manufacturing. |
Inventory Control | Deterministic Models, Safety Stock, Inventory Control Systems. |
Operations Research | Linear Programming, Simplex Method, Transportation, Assignment, Network Flow Models, Queuing Models, PERT, CPM. |
