Laskennallinen tekniikka ja teknillinen fysiikka - Computational Engineering

Mechanics part of the course: Basics of translational and rotational motion, Newton's laws, principles of conservation of energy, momentum and angular momentum. Thermal Physics: Physical basics of thermodynamics, the laws of thermodynamics, thermodynamic engines and cyclic processes. Electricity: Electrostatics (electric force, field and potential), direct-current circuits, magnetism (magnetic force and field), electromagnetic induction.

Introduction to MATLAB and Circuit analysis applications using MATLAB

Working with various data structures (multidimensional arrays, cell arrays, etc.) and variable types (numeric, logical, textual, etc.), Matlab symbolic functionality, conditional statements (if-else, switch-case), loops (for and while), using built-in functions, handling external data, 2-D and 3-D plotting, writing user-defined functions, optimization of code speed, style and efficiency.

Working with various data structures (multidimensional arrays, cell arrays, etc.) and variable types (numeric, logical, textual, etc.), Matlab symbolic functionality, conditional statements (if-else, switch-case), loops (for and while), using built-in functions, handling external data, 2-D and 3-D plotting, writing user-defined functions, optimization of code speed, style and efficiency.

Working with various data structures (multidimensional arrays, cell arrays, etc.) and variable types (numeric, logical, textual, etc.), Matlab symbolic functionality, conditional statements (if-else, switch-case), loops (for and while), using built-in functions, handling external data, 2-D and 3-D plotting, writing user-defined functions, optimization of code speed, style and efficiency.

Working with various data structures (multidimensional arrays, cell arrays, etc.) and variable types (numeric, logical, textual, etc.), Matlab symbolic functionality, conditional statements (if-else, switch-case), loops (for and while), using built-in functions, handling external data, 2-D and 3-D plotting, writing user-defined functions, optimization of code speed, style and efficiency.

Matlab data-rakenteiden (moniulotteiset matriisit, cell array,jne.) ja data-tyyppien käyttäminen (numeeriset, loogiset, teksti, jne.), ehdolliset rakenteet (if-else, switch-case), silmukat (for, while), Matlabin sisärakennetyt funktiot, ulkoisen datan käsittely, 2- ja 3-ulotteiset graafit, käyttäjän itsemääritellyt funktiot.

Basic concepts of discrete systems. Model-based design, basic simulation work-flow, running the simulations and interpreting the results. Random numbers, discrete event generation by random numbers. Statistical and empirical distributions for event generation. Basics of stochastic differential equations. Building numerical simulation examples with Matlab. Application examples: queuing systems, storage size optimization, stochastic dynamical systems and agent-based modelling.

Lukujonojen ja sarjojen konvergenssi yleisesti. Potenssi- ja Taylorin-sarjat. Fourier-sarjat. Katkaistut Fourier-sarjat. Fourier-muunnos. Diskreetti Fourier muunnos ja diskreettiaikainen Fourier-muunnos. Ikkunoitu Fourier muunnos. FFT-algoritmi. 2D-Fourier muunnokset. Johdatus Fourier-muunnoksen yleistyksiin.

Optimoinnista yleisesti. Mallien rakentamisesta ja muotoilusta. lineaarinen optimointi (simplex). Qquadratic optimization. Lagrangen menetelmä yleisesti. Konveksi optimointi ei sileät tavoitefunktiot. Evoluutioalgoritmit

Kurssille kutsutaan puhumaan laskennalliselta tekniikalta lähiaikoina valmistuneita ja eri yrityksiin menneitä kertomaan esimerkiksi: - minkälaisia ongelmia he ratkovat, - minkälaisia ohjelmistoja he käyttävät, - mitä laskentaa he tekevät, - minkälaisilla koneilla tekevät laskentaa. - Lisäksi kurssiin liittyy esimerkiksi LUTin spinoff-firmojen esittelyä.

Working with various data structures (multidimensional arrays, cell arrays, etc.) and variable types (numeric, logical, textual, etc.), Matlab symbolic functionality, conditional statements (if-else, switch-case), loops (for and while), using built-in functions, handling external data, 2-D and 3-D plotting, writing user-defined functions, optimization of code speed, style and efficiency.