[ 403MAMO22 ] Subject Mathematical Modeling

Workload Mode of examination Education level Study areas Responsible person Coordinating university
22,5 ECTS Accumulative subject examination M1 - Master's programme 1. year Mathematics Ronny Ramlau Johannes Kepler University Linz
Detailed information
Original study plan Master's programme Industrial Mathematics 2022W
Objectives Methods of mathematical modeling are trained via concrete examples from practice, possibilities and limits of mathematical modeling are discussed, and necessary mathematical basics and techniques needed for modeling are taught.
Subject The course Financial Mathematics deals with basic techniques of modern financial mathematics such as non-arbitrage techniques or black-scholes methodology for evaluating financial products.

The course Integral Equations and Boundary Value Problems deals with solvability and stability results for second kind integral equations as well as connections between inital and boundary value problems.

The course Inverse Problems deals with ill-posed problems and their solution via regularization techniques.

The course Mathematical Methods in Continuum Mechanics deals with modeling and analysis of some models from continuum mechanics such as elasticity problems or problems from fluid mechanics.

The course Stochastic Processes deals with the concept of conditional expectation, basic notions for stochastic processes and several special classes of them like Markov Chains, the Poisson process, Gaussian processes and the Wiener process. Finally martingales are studied in discrete time as well as stopping and convergence theorems.

Subordinated subjects, modules and lectures