Lehrinhalte
Convergence of sequences of functions, power series, topology of metric spaces, norms on R^n, differentiation of functions of several variables, partial derivatives, rules of differentation, gradient, higher derivatives and Taylor`s theorem in several variables, local extrema, inverse and implicit function theorems, integration on R^n, curves in R^n, integral theorems of Gauß and Stokes
Literature
K. Königsberger: Analysis 1,2 , Springer
O. Forster: Analysis I & II. Vieweg
H. Heuser: Lehrbuch der Analysis 1, 2, Teubner.
W. Rudin: Principles of Mathematical
Analysis, McGraw-Hill
Voraussetzungen
Analysis 1
(participation without certification of prerequisites is possible)
Further Grading Information
All information and supplementary material to this course is available on the corresponding moodle-page.
Convergence of sequences of functions, power series, topology of metric spaces, norms on R^n, differentiation of functions of several variables, partial derivatives, rules of differentation, gradient, higher derivatives and Taylor`s theorem in several variables, local extrema, inverse and implicit function theorems, integration on R^n, curves in R^n, integral theorems of Gauß and Stokes
Literature
K. Königsberger: Analysis 1,2 , Springer
O. Forster: Analysis I & II. Vieweg
H. Heuser: Lehrbuch der Analysis 1, 2, Teubner.
W. Rudin: Principles of Mathematical
Analysis, McGraw-Hill
Voraussetzungen
Analysis 1
(participation without certification of prerequisites is possible)
Further Grading Information
All information and supplementary material to this course is available on the corresponding moodle-page.
- Lehrende: HallerRobert
- Lehrende: KleinDavid Christian
Semester: ST 2021