The spring semester 2021 will certainly take place online until Easter. Exceptions: Courses that can only be carried out with on-site presence. Please note the information provided by the lecturers.

401-1261-07L  Analysis I

SemesterAutumn Semester 2017
LecturersM. Einsiedler
Periodicityyearly recurring course
Language of instructionGerman

AbstractIntroduction to the differential and integral calculus in one real variable: fundaments of mathematical thinking, numbers, sequences, basic point set topology, continuity, differentiable functions, ordinary differential equations, Riemann integration.
ObjectiveThe ability to work with the basics of calculus in a mathematically rigorous way.
LiteratureH. Amann, J. Escher: Analysis I

J. Appell: Analysis in Beispielen und Gegenbeispielen

R. Courant: Vorlesungen über Differential- und Integralrechnung

O. Forster: Analysis 1

H. Heuser: Lehrbuch der Analysis

K. Königsberger: Analysis 1

W. Walter: Analysis 1

V. Zorich: Mathematical Analysis I (englisch)

A. Beutelspacher: "Das ist o.B.d.A. trivial"

H. Schichl, R. Steinbauer: Einführung in das mathematische Arbeiten