Master Thesis in Theoretical and Applied Mathematics

[mathmari]

Hey!

What topics for master thesis could someone do at the field theoretical mathematics and what at the field applied mathematics??

At the field Theoretical Mathematics there are the subjects:
Basic subjects: Algebra, Introduction to Differentiable Manifolds, Functional Analysis, Complex Analysis
Subjects of choice: Wave Phenomena, PDE-Weak Solutions Theory

At the field Applied Mathematics there are the subjects:
Basic subjects: Measure Theory, Functional Analysis, Numerical Analysis, Wave Phenomena
Subjects of choice: Introduction to Differentiable Manifolds, PDE-Weak Solutions Theory

 

[lofgran]

, Optimization and Control Theory

Some potential topics for a master's thesis in Theoretical Mathematics could include:
1. Investigating the properties of differentiable manifolds and their applications in geometry and physics.
2. Studying the behavior of solutions to nonlinear partial differential equations using methods from functional analysis.
3. Exploring the theory of wave phenomena and its applications in various fields such as acoustics, electromagnetics, and optics.
4. Investigating the properties of complex analysis and its applications in number theory and physics.

For a master's thesis in Applied Mathematics, some possible topics could be:
1. Developing and analyzing numerical methods for solving differential equations and their applications in engineering and physics.
2. Studying optimization and control theory and its applications in areas such as economics, finance, and biology.
3. Investigating the behavior of weak solutions to partial differential equations and their applications in fluid dynamics and materials science.
4. Exploring the theory of measure and integration and its applications in probability and statistics.

Ultimately, the specific topic for a master's thesis will depend on the interests and expertise of the student and their advisor. It is important to discuss potential topics with an advisor to ensure that it aligns with the student's goals and the research interests of the department.