The course focuses on applying mathematical modelling and numerical methods to solve physical engineering problems, particularly in naval architecture and offshore engineering. Students develop skills in creating algorithms, implementing them in structured or object-oriented programming languages, and using simulation tools. Topics include root-finding methods (bisection, Newton), optimization methods (Newton-Raphson, Lagrange multipliers), solving ordinary differential equations (Euler, Runge-Kutta), and interpolation methods (Lagrange polynomials, splines). Practical applications cover mechanical and offshore engineering systems, supported by project-based tasks implemented in Python and other computational tools.