Es ist eine neuere Version 2026W dieser LV im Curriculum Bachelor's programme Statistics and Data Science 2026W vorhanden.
(*) Unfortunately this information is not available in english.
Workload
Education level
Study areas
Responsible person
Hours per week
Coordinating university
5 ECTS
B1 - Bachelor's programme 1. year
Mathematics
Andreas Quatember
4 hpw
Johannes Kepler University Linz
Detailed information
Pre-requisites
(*)keine
Original study plan
Bachelor's programme Statistics and Data Science 2025W
Learning Outcomes
Competences
The courses VL and UE Mathematik I form an inseparable didactic unit. The learning outcomes described below are achieved through the interaction of the two courses:
Based on a basic familiarity with the way mathematics works and thinks, students can carry out simple proofs and apply the formalism of set theory and differential calculus.
Skills
Knowledge
Knowing and understanding of the core elements of mathematical modelling and mathematical proofs (k1,k2)
Formulating relationships between mathematical facts in an understandable way
Explain and recognize basic properties of functions and relations (k2)
Knowing the concepts of convergence and limits in real analysis (k1)
Applying the derivation of the most important real functions (k3)
Basic notions of set theory
Fundamentals of proof; proof by induction
Specification of functions and their properties
Numbers
Elementary combinatorics
Convergence of sequences of real numbers
Limits of single-variable real functions
Derivatives of the most important real functions
Properties of real functions of a single variable such as extrema, monotonicity
Criteria for evaluation
Exam
Methods
Presentation by the instructor
Language
German
Study material
Lecture notes: Mathematics I
Changing subject?
No
Corresponding lecture
(*)551MATHMIAV14: VL Mathematik Ia (2 ECTS) gemeinsam mit 551MATHMIBV14: VL Mathematik Ib (3 ECTS)
