First and higher order ordinary and partial differential equations with linear and nonlinear components, separation, and variables. Laplace transformation, Fourier series, numerical methods for differentiation and integration, complex analysis, probability, and statistics are some of the terms used to describe the analytical functions of complex variables.

Kinematics and dynamics of particles and rigid bodies in plane motion; free-body diagrams and equilibrium; trusses and frames; virtual work; impulse and momentum (linear and angular) and energy formulations.

Mechanics of Materials

Shear force and bending moment diagrams, bending and shear stresses, torsion, Euler's theory of columns, energy techniques, theories and failure, and material testing procedures. Stress and strain, elastic constants, Poisson's ratio. Mohr's circle for plane stress and plane strain.

Vibrations

Damped and undamped systems with single and multiple degrees of freedom can vibrate freely or under force.

Machine Design

Design of machine components such as shafts, gears, rolling and sliding contact bearings; design for static and dynamic loading; joining methods include bolting, riveting, and welding.

Boundary layer theory- Equations for the boundary layer of Prandtl, the separation criterion, Blasius remedy, Skin friction, momentum thickness, turbulence in the boundary layer, displacement thickness Border layer management. Lift, drag, circulation, and pressure distribution of airfoil wings with infinite and finite spans, circulation dispersion, and cavitation theory.

Hydrodynamics- Kelvin's theorem and vorticity, Potential flow theory, Sources, Sinks and Doublets, hydrodynamic forces in potential flow, D'Alembert's paradox, added-mass, slender-body theory, hydrodynamic model testing, scaling laws, application of potential theory to surface waves, energy transport, wave/body forces, and linearized theory of lifting surfaces are a few terms you should be familiar with.

Ship geometry and physical fundamentals - Archimedes' principle, a ship's weight and buoyancy, the rules of flotation, heel, and trim, a ship's stability and unpredictability, the significance of a streamlined hull, a ship's primary characteristics, and hydrostatic calculations.

Stability and trim of Ships: Experiment on statically stable heels at minor degrees of inclination. a change in the center of gravity brought on by the addition or removal of the mass, a transverse movement of mass, no-cost surface effect impact of suspended matter, stability at steep heel angles, angle of loll, static stability curves and dynamic stability curves Damage Stability is both deterministic and probabilistic. Different curves that define dynamic stability. Curves and estimates for floodable length. docking stability, loss of stability as a result of grounding.

Resistance & Propulsion: Ship resistance components include form factor, hull roughness, model testing, and prediction methods, tank wall effects, ship resistance determination, various series test results, resistance of sophisticated vehicles, and appendage and added resistance. Screw propeller geometry, theories of propellers, hull-propeller interactions, and several definitions of propulsive efficiency. impacts of propeller cavitation. series and design of propellers. testing using self-propulsion models on open water. many types of propellers and how they function. materials, construction, and manufacture of propellers.

Unconventional propellers Ship Manoeuvring and Motions: Equations of motion, linearized equations, control fixed stability indices, and model tests for ships that are keeping and changing their course. Final maneuvers and sea trials for stability and control in the horizontal and vertical planes. Design, operation, and rudder hydrodynamics. performance of the rudder about the propeller, hull, appendages, etc. Experimental techniques for calculating hydrodynamic derivatives.

Ocean waves – regular, erratic, and trochoid. frequency of encounter, wave spectrum. Equations of motion, linked and uncoupled motion types, and ship motions. consequences of a ship's motion in a harbor. different passive and active ship motion stabilizers. Strip theory, BEM, and FEM are among the various numerical and experimental techniques used to calculate ship motions. attributes of high-performance marine vehicles for seakeeping.

Ship Structures & Strength: Materials used in shipbuilding, methods of joining, frame systems for bottom, sides, decks, bulkheads, and ends, as well as structural connections. Superstructure, hatch covers, machinery foundations, cargo handling systems, and support structures are all primary and secondary structural components.

loads operating on ships in the water, factors affecting longitudinal and transverse strength, and estimating techniques. Local strength analysis, stiffened plate analysis, torsion of the hull girder, deformation and stresses, reliability analysis, ultimate strength of the hull girder, structural vibrations, fatigue, and fracture. Strength of hull girder.

Physical Oceanography: characteristics of seawater, Various Ocean waveforms, including wind waves and tide waves, and their significance. Offshore Buildings: Fixed offshore platforms include jackets and gravity platforms. Floating platforms include semi-submersibles, jack-ups, TLPs, and FPSOs. Engineering for Ports and Harbours: Ports, Jetties, dolphins, liquid berths, dredging, navigation, and other port structures

Thermodynamics: First law of thermodynamics: Internal energy of a system; closed system going through a cycle; closed system going through a state change; expansion projects Process utilizing an ideal gas that is constant pressure, constant volume, and isothermal; adiabatic and polytropic processes that involve work being done and heat being added through various processes; First law applies to the steady flow energy equation (ID), flow energy, and one-dimensional steady flow process. Different statements regarding the second law of thermodynamics; processes that are reversible and irreversible; second law corollaries: absolute temperature scale; Carnot cycle: a heat pump, a refrigerator, and a Carnot engine. Clausius inequality, the meaning of entropy, and how an ideal gas's entropy changes; In-line engines and gas power cycles; Gas power cycles include the Carnot, Brayton, Erricson, Sterling, and others; Otto-Diesel standard cycles, Evaluation of the dual and joule cycles, thermal effectiveness, and mean effective pressure;
 

Internal Combustion engine - Classification of internal combustion engines - Stages of combustion in S.I. and C.I. engines, both two-stroke and four-stroke; Principle of operation of spark ignition and compression ignition engines; Detonation and knocking—factors influencing them, as well as strategies for avoiding them; Simple vapour compression system's operating principle in refrigeration and a comparison to other vapour compression systems; Principles of air conditioning: Calculating cooling and heating loads; Sensible heating and cooling; Humidification and dehumidification; Cooling and humidification; Heating and humidification; Heating and dehumidification; Adiabatic mixing of air streams.

Marine Diesel Engines: fundamentals of engines Diesel engines of low and medium speeds, two- and four-stroke engines, Turbocharging and scavenging, petroleum system, cooling systems, torque and power measurement, lubricating oil systems, controls, safety equipment, reversing and starting systems, Gearboxes and couplings, particular fuel consumption. Waste heat recovery technology, the Ship Energy Efficiency Management Plan (SEEMP), and the MARPOL standards.

Marine Steam Turbines: Turbine construction, including rotors, blades, casing, gland sealing, diaphragms, nozzles, and bearings, as well as compounding and reheating. Gearings, expansion arrangements, and lubrication systems. the basics of gas turbines for ships, Gas turbine construction, gearing, functional elements, controls, and combined cycles. Use of nuclear propulsion on seagoing vessels and the physical underpinnings of nuclear reactor operation, electrical propulsion

Marine Boilers: Boiler types include fire tube, water tube, package, Cochran, composite, double evaporation, exhaust gas heat exchanger, auxiliary steam plant systems, exhaust gas boilers, and exhaust gas boilers. mounting of the boiler, feed system, combustion, and feedwater treatment.

Engine Dynamics: Critical speeds, engine rating, rating adjustments, trial tests, axial shaft vibration, torsion of the engine and shafting, etc. engine's relationship to propeller classification, engine construction guidelines, and engine room layout. Automation of ship propulsion systems, maintenance needs, and propulsion system dependability.

Marine Auxiliary Machinery & Systems: Hot water, drinking water, cooling water, seawater, fuel oil systems, lubricating oil systems filters, coolers, centrifuges, purifiers, and clarifiers; bilge and ballast systems; sewage disposal; oily water separators; air compressors; boilers; heat exchangers; waste heat recovery systems; Dech machinery and cargo handling systems; propulsions and steering gear systems.