04-00-0011-vu Analysis I (englisch)

Instructors: Prof. Dr. rer. nat. Matthias Hieber; M.Sc. Tim Binz; Dr. phil. Gabriele Bogo

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: Englisch

Min. | Max. participants: - | -

Digital Teaching:
moodle

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:
recommended: Analysis 1