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Mathematical Modeling and Optimization

University: PG
Date: February 2026
Expected Duration: 3–6 Months
Format: In-Person
Level: Intermediate
Language of Instruction: English
Registration Deadline: 16 February 2026
Price: TBC

Course Overview

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.

Main Goal

To provide students with theoretical knowledge and practical skills in mathematical modelling, numerical methods, and optimization techniques applied to engineering problems in naval architecture and offshore energy systems.

Skills To Be Gained

After this course, you can

  1. Ability to apply reliability and risk assessment methods to technical systems
  2. Competence in performing risk analysis for selected engineering systems
  3. Understanding of safety assessment methods such as FSA and ALARP
  4. Familiarity with safety management standards and human factor analysis

Practical Notes

Contact details: aleksander.kniat@pg.edu.pl

Requirements

  1. Basic computer skills, knowledge of operating systems, mathematics at engineering level.

Teaching And Assessment

Lectures (30h) and project classes (30h). Assessment based on task performance (100%).

Course Staff

Aleksander Kniat

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