Computational and Applied Mathematics Master of Science an der Friedrich-Alexander-Universität Erlangen-Nürnberg

Inverse Problems

Theory and methods for solving inverse problems with tutorials.

Mathematics of Learning

Mathematical foundations of machine learning and data science with tutorials.

Mathematics of Multiscale Models

Mathematical analysis of multiscale modeling techniques with tutorials.

Theory of Stochastic Evolution Equations

Theoretical foundations of stochastic evolution equations with tutorials.

Practical Course on Finite Element Methods for Phase-Separation Equations

Practical course on finite element methods applied to phase-separation problems.

Regularity Theory of Elliptic PDEs

Study of regularity properties of elliptic partial differential equations with tutorials.

Mathematical Image Processing

Mathematical methods for image processing applications with tutorials.

Discrete Optimization I

Discrete optimization methods and algorithms with tutorials.

Advanced Nonlinear Optimization

Advanced methods for solving nonlinear optimization problems with tutorials.

Project Seminar Optimization

Practical project seminar on optimization with presentation and report.

Efficient Discretization of two-phase Flow

Efficient discretization techniques for two-phase flow problems.

Selected Topics of Mathematics of Learning

Selected advanced topics in mathematics of machine learning with tutorials.

Control, Machine Learning and Numerics

Discrete Optimization III

Computational Complexity

Numerical Methods for Nonsmooth Problems

Wave Phenomena

Subspace Correction Methods

Navier Stokes Equations

Polynomial Optimisation and Application

Stochastic Analysis

Seminar Applied Analysis

Seminar Selected Topics of Applied Analysis

Numerics of Optimal Control

Semigroups of Linear Operators

Introduction to Control and Machine Learning

Modeling and Analysis in Continuum Mechanics I

Modeling and analysis of continuum mechanics problems with tutorials.

Numerics of Partial Differential Equations I

Introduction to numerical methods for partial differential equations with tutorials.

Advanced Algorithms for Nonlinear Optimization

Advanced algorithmic methods for nonlinear optimization with tutorials.

Optimization with Partial Differential Equations

Optimization problems constrained by partial differential equations with tutorials.

Optimization in Industry and Economy

Applications of optimization methods to industrial and economic problems with tutorials.

Conic Optimization and Applications

Conic optimization methods and their applications with tutorials.

Modeling and Analysis in Continuum Mechanics II

Advanced modeling and analysis in continuum mechanics with tutorials.

Practical Course: Modeling, Simulation and Optimization

Practical course covering modeling, simulation and optimization techniques.

Programming Techniques for Supercomputers in CAM

Programming techniques for supercomputers with tutorials on computational methods.

Advanced Discretization Techniques

Advanced techniques for discretization of mathematical problems with tutorials.

Introduction to Material and Shape Optimization

Optimization techniques for material and shape design problems with tutorials.

Robust Optimization II

Robust optimization techniques for handling uncertainty with tutorials.

Numerical Aspects of Linear and Integer Programming

Numerical methods for linear and integer programming problems with tutorials.

Discrete Optimization II

Advanced discrete optimization methods with tutorials.

Architectures of Supercomputers

Study of supercomputer architectures with tutorials.

Master's seminar MApA

Seminar in applied mathematics with talk and written report.

Master's seminar NASi

Seminar in numerical analysis and simulation with talk and written report.

Master's seminar Opti

Seminar in optimization with talk and written report.

Advanced Solution Techniques

Advanced methods for solving mathematical problems with tutorials.

Transport and Reaction in Porous Media: Modeling

Modeling of transport and reaction processes in porous media with tutorials.

Transport and Reaction in Porous Media: Simulation

Simulation methods for transport and reaction in porous media with tutorials.

Numerics of Incompressible Flows I

Numerical methods for incompressible fluid flows with tutorials.

Numerics of Incompressible Flows II

Advanced numerical methods for incompressible fluid flows with tutorials.

Mathematical Models of Kinetic Theory

Mathematical modeling and analysis of kinetic theory with tutorials.

Numerics of Stochastic Evolution Equations

Numerical methods for stochastic evolution equations with tutorials.

Mathematical Modeling in the Life Sciences

Mathematical modeling techniques applied to life science problems with tutorials.

Analysis of Free-Boundary Problems in Continuum Mechanics

Analysis of free-boundary problems in continuum mechanics with tutorials.

Partial Differential Equations in Finance

Applications of partial differential equations to finance problems with tutorials.

Lecture Series Partial Differential Equations, Control and Numerics

Lecture series on partial differential equations, control theory and numerical methods with tutorials.

Numerics of Partial Differential Equations II

Advanced numerical methods for partial differential equations with tutorials.

Master's Thesis

Master's thesis with colloquium examination.