Besides offering the core subjects in analysis, our section contributes to the Applied Mathematics curriculum through a rich variety of electives connected to our research, both on the bachelor and master level. Additionally, we provide courses on the history and philosophy of mathematics.
Bachelor
Compulsory Courses
TW1-22 Analysis 1
TW1-32 Analysis 2
AM2040 Complex Function theory
AM2090 Real Analysis
Measure and Probability Theory (in collaboration with Applied Probability)
Electives
AM3570 Fourier Analysis
AM3580 Differential Geometry
AM3590 Topology
AM2520-H History of Mathematics
AM2520-P Philosophy of Mathematics
Bachelor project
For Applied Mathematics students: See the projects offered by our group on the Brightspace page of AM3000. New projects are usually added in December.
For double bachelor Applied Mathematics / Applied Physics students: Contact our scientific staff personally to discuss the possibilities for a project.
Master
Courses
WI4006 Special Functions and Representation Theory
WI4046 Spectral Theory of Linear Operators
WI4203 Applied Functional Analysis
WI4211 Advanced Topics in Analysis
WI4480 Internet Seminar on Evolution Equations
WI4485 Harmonic Analysis
WI4615 Stochastic Calculus
WI4645 Introduction to Quantum Information and Computing
WI4655 Perturbation and Variational Methods for Partial Differential Equations (in collaboration with Mathematical Physics)
Master project
If you would like to write your master thesis within our group, please read the research areas here of our scientific faculty here. If you find a research area that interests you, please reach out directly to the relevant faculty member to discuss their availability and potential projects.
Specializations
Our courses on master level fit into two master specializations:
Partial Differential Equations
The specialisation Partial Differential Equations provides the mathematical tools required for the analysis of mathematical models. Such models are typically formulated as a system of coupled partial differential equations. Apart from very special cases, a closed-form solution cannot be given. Therefore, this specialisation focuses on the development of mathematical tools to study the properties of solutions, and methods to get approximate solutions and insight in the number and stability of these solutions. If you choose this specialisation you will learn techniques that come from the Approximation Theory, Dynamical System Theory, Fourier Analysis, Functional Analysis and Stochastic Analysis, to help you achieve these goals.
For courses offered by the specialisation Partial Differential Equations, see the online studyguide.
Mathematics of Quantum Technology and Computation
MQTC equips the student with a broad range of state-of-the-art mathematical tools that are currently used in quantum technology and quantum computing, and are expected to underly future progress in the field. The various branches of mathematics that are represented in this specialisation (quantum algorithms, functional analysis, optimization) allow the student to choose an individual profile that fits his or her personal interests.
For courses offered by the specialisation Mathematics of Quantum Technology and Computation, see the online studyguide.