Review of ordinary differential equations; linear differential equation of the first order; linear differential equations with constant coefficients; particular solutions by variations of parameters. Power series solutions; method of Frobenius; Legendre's equation; Fourier-Legendre Series; Bessel's equation; modified Bessel equation. Fourier methods; Fourier series; Sturm- Liouville theory; Fourier integral; Fourier transformation. Partial differential equations; heat conduction equation; separation of variables; waves and vibrations in strings; wave equation; D'Alembert's solution; longitudinal vibrations in an elastic rod; two dimensional stress systems; solution of Navier's equations by the application of Fourier transforms; Laplace equation.

Random variables; common discrete, continuous expectations and their applications; Sampling of the mean, hypothesis testing of the mean and variance, confidence intervals and Chi-Square procedures; Simple linear regression and correlation; precision and straight line fits; Matrix approach; multiple; Linear regression; polynomial and extra sum of squares in linear regression analysis; Transformation, weighted dummy variables and special topics in multiple regression analysis; Selecting the best regression model; Design of experiments; Single-factor and Multi- factor analysis of variance. Application of Statistical software packages such as: MINITAB, SPSS, etc....

Interpolation; Linear interpolation, Lagrange and Aitkin’s interpolating polynomials, Difference calculus, Newton forward and backward difference formula, curve fittings, least square approximations, Fitting nonlinear curves, Cubic spline, Chebyshev polynomials, Approximation with rational function ordinary differential equations, Analytical and computer-aided solutions, Boundary conditions, Taylor series method.

Introduction, Boilers: steam cycle revision, boiler types, consideration in boiler design, fuel and combustion, environmental considerations. Steam turbines: revision of fundamentals, axial flow turbo machinery stages, comparison between stages, impulse stage losses and Mollies diagram, real turbine construction and control. Steam systems: Operation, condenser and de-aerator, feed- water treatment. Steam cycles: practical and theoretical considerations for Rankin cycle plant. Gas turbine engines: Cycles analysis, compressor characteristics and designs, turbines characteristics and designs, compressor/turbine matching, combustion system design, fuel and fuel system requirements, environmental considerations, practical considerations, case studies. Internal combustion engines: cycles and mathematical modeling of engine performance, thermal loading of components, gas exchange processes, exhaust gas turbo charging matching, pulse and constant pressure turbo charging and turbocharger design, fuel and combustion, combustion chamber design, fuel system design, environmental considerations.

The course is taught in the first semester in the first year of postgraduate studies. It prepares students for scientific research and development of thesis. The course provides content on Elements of the Research Proposals and Formulation of a research plan, Elements of Technical and Scientific reports, what is the Scientific Research, The Structure of Scientific Research, Methods of Scientific Research, Aims of Scientific Research, and Ethics of Scientific Research, Developing a hypothesis, a research problem and related questions, Being able to perform exploratory data analysis, Understand correct ways to refer to and cite from scientific literature.

Review to principles of control engineering (continuous (analog) and discrete (digital)). System modeling (Mathematical modeling, linearization, state space). System representation (block diagrams, state-space, transfer functions). Control system analysis (time response, steady state error and sensitivity analysis). Control system stability analysis (classical methods and Lyapunov method). Control system improvement by classical PID controllers and compensators (lead, lag and lead-lag). Multivariable systems and the Controllability and Observability concepts. State space forms. Pole placement state controller and state observer estimator).The laboratory study will cover: The modeling of engineering systems in LabVIEW and Mat lab/Simulink to study control system design to improve dynamic performance.

Influence of machinery choice on acquisition and operating costs. Methods of energy saving applied to overall system design. Propeller design procedures and matching of engine and propeller. Propeller performance in service. Propeller excitation forces and design of propeller for minimum excitation. Energy saving propulsions. Machinery and hull vibrations. sources of excitation. Modes of vibration. Method of analysis using case studies. 

Ship’ Naval architecture review, introduction to ship performance at sea, Direct wind forces and moments, Induced forces and moments, Performance loss estimation, effect of seaway on ship resistance, effect of seaway on ship propulsion, Hull roughness and fouling .Marine Engineering ( Machinery ): Performance and fuel economy, Impact on plant layout , Total energy concepts, Marine fuels, Fuel treatment, Maintenance as part of ship life cycle, Maintenance cost evaluation, Failure mode and effect analysis, Risk-Based maintenance, Reliability and maintainability, Fault tree analysis, Failure rate, concept of ( Intelligent ) condition monitoring, Some techniques for intelligent monitoring, Condition monitoring of diesel engines.

The main objective of the course is to give the students an introduction to electro-technical engineering and an understanding of marine electric power systems on ships and platforms, which is of importance for management, engineering, design, and analysis.Introduction to electric analysis techniques, with basis on electro-technical concepts, laws, and properties for electric systems, such as circuit analysis, electric power, 1-phase and 3-phase systems, phasor diagrams, electro-magnetic energy conversion, and physical principles of transformers and electric machinery. Electric machines, motors, and propulsion drives, electric power generation and distribution, power management systems (PMS), operational issues, and class rules and methods for independent testing and verification. Marine emergency power systems, power quality requirements, shore connections in ports, distribution components and network protection emergency supplies, simultaneous faults. Load flow and fault analysis. 

Marine system modelling, mathematical representation, system identification, analysis of power plant , Modelling the sensors and actuator used in marine system, Auxiliary system evaluation including clutch and gearbox control, Total system performance when subject to full ahead to crash stop manoeuvre, Stability analysis, Ship dynamic stability, Application of computer simulation techniques to analysis of marine systems.

Conduction process, radiation heat transfer, heat exchanges, process heat transfer, boiling,condensation, air condition and refrigeration engineering

Introduction , definition of structure integrity, concept of fitness-for-service methods, fraction mechanics theory ( Diving force and fracture toughness, K, CTOD , J ) linear elastic fracture mechanics ( LEFM ) , Elastic fracture mechanics ( EPEM ), Flow types, Fracture mechanics testing, Fracture assessment using failure assessment diagram ( FAD ) approach, Fracture toughness R, curve fatigue crack growth, fatigue design of welded joints, fatigue assessment procedures in BS7910 non-destructive testing and practical exercises and case studies.

The student has to carry out a research project in one of the programs. The research topic should tackle contemporary problems in the marine field and upon completion it must stand firm for publication.