Course Contents
Real and complex numbers, completeness, convergence of sequences and series, topology of the real numbers, compactness, notion of a function, continuity, elementary functions, differentiation, Mean Value Theorem, Taylor’s Theorem, integral, Fundamental Theorem of Calculus, techniques of integration.

Literature
O. Forster: Analysis I, II. Vieweg
H. Heuser: Lehrbuch der Analysis 1, 2, Teubner
M. Hieber: Analysis I, II, Springer
K. Königsberger: Analysis 1, 2, Springer
Charles R. MacCluer, Honors Calculus, Princeton Univ. Press
W. Rudin: Principles of Mathematical Analysis, McGraw-Hill

Further Grading Information
All materials and information concerning this course will be provided via the corresponding [url=https://moodle.tu-darmstadt.de/course/view.php?id=23879]moodle course[/url].

Semester: Inverno 2020/21