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[ 320MAUEMANK23 ] KV Overview of Mathematics: Analysis
Versionsauswahl
(*) Unfortunately this information is not available in english.
Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS B1 - Bachelor's programme 1. year Mathematics Gerhard Larcher 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Fundamentals of Natural Sciences for Technology 2025W
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 oral or written exam (to be determined by the lecturer at the beginning of the semester)
Language German, English
Changing subject? No
Corresponding lecture (*)ist gemeinsam mit 320MAUEMLIK23: KV Überblick Mathematik: Lineare Algebra (3 ECTS) und 320MAUEMWHK23: Überblick Mathematik: Wahrscheinlichkeitstheorie (3 ECTS) äquivalent zu
320MAGREUMU18: Einführungsübungen Mathematik (3 ECTS) + 320MAGRUM1V18: VL Überblick Mathematik I (2 ECTS) + 320MAGRUM2V18: VL Überblick Mathematik II (2 ECTS) + 320MAGRUM3V18: VL Überblick Mathematik III (2 ECTS)
On-site course
Maximum number of participants 25
Assignment procedure Assignment according to priority