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Start of Studies Winter Term 2021/22

For students starting the CSiS master study programme in winter term 2021/21:

The block course on Mathematical Foundations will start on 27 September, 2021.

Duration:       27/09/2021 - 08/10/2021

Place:             tbd

Lectures:      9:00 a.m. - 12:00 noon

by Prof. Dr. Francesco Knechtli, Dr. Tomasz Korzec, PD Dr. Stephan Dürr

Excercises:  2:00 p.m. - 5:00 p.m.      -  Tutor: tbd                                                                                                                        

Literature for the Block Course Mathematical Foundations:

K. F. Riley and M. P. Hobson: „Essential Mathematical Methods for the Physical Sciences“, Cambridge University Press

 

Contents:

1. Differentiation in 1D

2. Taylor series

3. Special functions

4. Integration in 1D

5. Differentiation in 3D

6. Taylor expansion in 3D

7. Integration in 3D

8. Complex Numbers

9. Complex di_erentiation

10. Contour integral (?)

11. Fundamental theorem of algebra

12. Linear independence and vectorspaces

13. Vector norms and scalar products

14. Linear mappings and matrices

15. Linear systems and inverses

16. Traces and determinants

17. Change of basis

18. Eigenvalues and eigenvectors

19. Diagonalizability and diagonalization

20. Matrix valued functions

zuletzt bearbeitet am: 23.04.2021