04-00-0002-vu Analysis II

Instructors: Prof. Dr. rer. nat. Jan Hendrik Bruinier; Patrick Bieker; Ph.D. Michael Neururer; M.Sc. Judith Schilling

Event type: Lecture & Exercise

Org-unit: Dept. 04 - Mathematics

Displayed in timetable as: Ana II

Subject:

Crediting for:

Hours per week: 6

Language of instruction: German

Min. | Max. participants: - | -

Course Contents:
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

Preconditions:
Analysis 1
(participation without certification of prerequisites is possible)

Online Offerings:
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