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Instructors: Prof. Dr. Karin Everschor-Sitte; Prof. Dr. Jairo Sinova
Event type:
Lecture/practice class
Displayed in timetable as:
08.128.113
Hours per week:
5
Credits:
5,0
Language of instruction:
German
Min. | Max. participants:
- | -
Requirements / organisational issues:
We will use German and English during the course
Contents:
In addition to other possible topics, the following topics will be covered in the course:
- Theory of complex numbers,
- Finite dimensional vector spaces, scalar products, especially three-dimensional vector spaces with vector and scalar product,
- Real and complex functions
- Taylor expansions
- Functions in several variables, local extreme values, multidimensional integration
- Ordinary differential equations
- Basic concepts of vector analysis (vector fields, gradient, divergence, rotation, Laplace operator)
- Orthogonal functions and expansions
- Transformation methods for integrals by coordinate change
Recommended reading list:
Recommended books (the first one will be primarily used)
- G. B. Arfken, H. J. Weber, and F. E. Harris, Mathematical Methods for Physicists, Seventh Edition: A Comprehensive Guide
- H.J. Korsch, Mathematische Ergänzungen,
- S. Großmann, Mathematischer Einführungskurs,
- K. Weltner, Mathematik für Physiker.
Additional information:
Further information about the course will appear starting the middle of April at the Website:
http://www.https://www.sinova-group.physik.uni-mainz.de/MR2020
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