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Mats Hansen
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Mats Hansen
  • Start
  • Teaching
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    • Teaching
  1. Winter Term 2018/19 -- Analysis III (KIT): Tutor and corrector, covering measure theory, Integration w.r.t. Lebesgue measure, Fubini’s theorem, Stokes’ theorem and Fourier series. 

  2. Summer Term 2019  -- Analysis II (KIT): Tutor and corrector, covering normed vector spaces, basic topology, Banach fixed-point theorem, multivariable calculus, line integrals, linear differential equations. 

  3. Winter Term 2019/20 -- Analysis III (KIT): Tutor and corrector, covering the same topics as in Winter 2018/19. 

  4. Summer Term 2020 -- Analysis II (KIT): Tutor and corrector, covering basic theory of manifolds, differential forms, Euler-Lagrange equations, Stokes’ theorem on manifolds, basic concepts of functional analysis. 

  5. Winter Term 2020/21 -- Analysis III (KIT): Tutor and corrector, covering measure theory on manifolds, elementary aspects Of PDEs, same topics as in Winter 2018/19 

  6. Summer Term 2021 -- Analysis II (KIT): Tutor and corrector, covering the same topics as in Winter 2018/19. 

  7. Summer Term 2022 -- Elementary Geometry (LMU): Tutor and corrector, covering Euclidean Geometry, elementary concepts from topology, differential geometry in coordinates, elementary aspects of tilings. 

  8. Summer 2022 -- Bridging course (LMU): Mentoring a group of incoming first-semester mathematics students, assisting them in their preparation for their inaugural year at the university, teaching them the basics of proof based mathematics. 

  9. Winter Term 2022/23 -- Mathematics III for Physicists (LMU): Tutor and corrector, covering Measure theory, construction of Lebesgue integral, residue theorem and the Cauchy theorem. 

  10. Summer Term 2023 -- Geometry and Topology of Surfaces (LMU): Tutor and corrector, covering basic topology, differential geometry in coordinates, normal vector fields, fundamental forms, classification of surfaces. 

  11. Summer Term 2023 -- Groups and Lie algebras (LMU): Trainer and corrector, covering Representation theory of finite groups, Lie algebras, classification of complex semisimple Lie algebras, Representation of Lie algebras, applications to phyics, designing exam and grading. 

  12. Summer 2023 -- Bridging course (LMU): Same as in summer term 2022. 

  13. Summer 2023 -- Expository course for pupils (LMU): Mentor, giving first impression of mathematics taught at universities, introducing lecture style teaching through parametric statistics and its implementation in R. 

  14. Summer 2023 -- Bridging course (LMU): Same as in summer term 2022.

  15. Winter Term 2023/24 -- Linear algebra I for computer science (LMU): Tutor and corrector.

  16. Winter Term 2023/24 -- Stochatics I (LMU): Tutor, covering random variables, measurability, multivariate normal distribution, conditional probabilities.

  17. Summer term 2024 -- Numerics for Physics (LMU): Designed and corrected the final exam.

  18. Fall Term 2024 -- Prison Teaching initiative (Princeton): Created course materials for an introductory course in math.

  19. Spring Term 2025 -- Directed reading Program (UPenn): Supervised an undergraduate in the study of Riemann surfaces.

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