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Applied Stochastics

Analysis 1

08000300 · Analysis 1

Lecturer: Prof. Dr. Markus Bibinger

Assistant: Michael Heins

Tutors:

  • Date and location:  The course will be hybrid. There are asynchronous lecture videos provided via WueCampus. There is also a synchronous part of the lecture on Wednesday 10:15 am in Turing-HS (Informatik)
  • Start: October 20, 2021, 10:15 am
  • Exercises (Vst.-Nr.  08000350): In person on Monday 10-12 am (00.101 BSZ); Monday 12-14 (00.101 BSZ, 00.102 BSZ); Monday 14-16 (00.101 BSZ), Tuesday 12-14 (00.101 BSZ), Wednesday 12-14 (00.101 BSZ). Virtual plenary tutorial on Monday 10-12 am via zoom with recording; online tutorial Tuesday 14-16 via zoom
  • Exams: Written exam after the end of the course, exact appointment announced later.
  • Registration for the exam: Via WueStudy, registration period will be announced during the lecture.
  • Language: German

 

Contents of the lecture:

This course for first-year students in Mathematics is devoted to the fundamentals of analysis. With the contents of the course Analysis 2 and the courses Lineare Algbera 1+2 we provide a solid basis for the Mathematics study paths.

Mathematical paradigms and proof techniques are developed and used.

In particular, the lecture contains the following contents:

  • numbers
  • sequences and convergence
  • series
  • functions and continuity
  • differentiation of real-valued functions
  • sequences of functions
  • Riemann integration

Literature: (a few well-known German books on Analysis 1)

  • Analysis I by Otto Forster, Springer, 2011, Link
  • Analysis I by Stefan Hildebrandt, Springer, 2006, Link
  • Analysis I by Konrad Königsberger, Springer, 2004, Link

 

Notes:

(1) Registration (Vst.-Nr. 0803305) in WueStudy is required.

(2) Materials (lecture notes, videos, exercise sheets) via WueCampus (Link).