FS 2016 TA Analysis IV
Laplace, Heat, and Wave equations. Initial boundary value problems. Solution formulas. Harmonic functions. Fourier Transforms. Distributions.
FS 2015 TA Mathematics for Chemists II
Real Vector Spaces, Subspaces, Linear Mappings, Eigenvalues and Eigenvectors, Applications to Several Variable Calculus, Cone-Sections, Linear ODEs of 1st and 2nd order.
HS 2014 TA Seminar in Functional Analysis
Introduction to Sobolev Spaces on \(\mathbb{R}^n(\Omega)\) and applications to elliptic boundary value problems.
FS 2014 TA Functional Analysis
Metric Spaces, Normed Spaces, Hahn-Banach, Uniform boundedness, \(L^p\) Spaces, Weak Topologies, Reflexive Spaces, Hilbert Spaces, Compact and Fredholm operators, Spectral Theory of self-adjoint compact operators.
HS 2013 TA Seminar in Dynamical Systems
Quadratic family, Symbolic Dynamics, Structural Stability, Sarkovskii’s Theorem, Bifurcation Theory, Morse-Smale diffeomorphisms, Smale’s Horsehoe, Hyperbolic Toral Automorphisms.
FS 2013 TA Analysis IV
Wave and Heat equation in 1D, Dirichlet and Neumann Boundary Value Problems, Fourier Series, Harmonic Functions.
HS 2012 TA Analysis III
Measure Theory, Lebesgue Integration Theory, Introduction to ODEs.
FS 2012 TA Analysis II
Analysis in \(\mathbb{R}^n\): Integration of Curves, Differentiation, Inverse- and Implicit Function Theorems, Submanifolds, Green-Gauss Theorem.