(*) Unfortunately this information is not available in english.
Workload
Education level
Study areas
Responsible person
Hours per week
Coordinating university
4 ECTS
(*)W_ULG1 - (*)Weiterbildung ULG 1. Jahr
Günter Landsmann
2 hpw
Johannes Kepler University Linz
Detailed information
Original study plan
Post graduate programme University course to prepare for the supplementary examinations 2026W
Learning Outcomes
Competences
After successfully completing the course, students will be able to
read notation used in calculus textbooks
understand the most important properties of sequences and real valued functions.
Skills
Knowledge
Students learn the following skills:
solving problems involving real numbers, sets of numbers and real valued functions
computing solutions of equations by approximation
computing limits of sequences and real valued functions
differentiating functions
deciding convergence behaviour of series
determining local maxima and minima of real valued functions
using induction to prove relations between arithmetic terms.
Students learn the following concepts from analysis:
basic notions of elementary set theory
the hierarchy of number systems and cardinality
the real continuum
infimum and supremum
the concepts of inner point and adhaerent point
limits of sequences and functions
continuity and differentiability.
Criteria for evaluation
Course exam, based on a written and/or oral exam, homework assignments, and/or active participation in the course, as determined by the course instructor at the beginning of the semester
Methods
Lecture, interactive teaching elements, homework
Language
(*)Deutsch und Englisch
Study material
The relevant course literature will be announced at the beginning of the course
