[ 551MATHMAIV17 ] VL Mathematics I

(*) 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 2021W
Objectives The course supplies the mathematical background for the bachelor curriculum, in particular for the subject theoretical statistics.
Subject Sets: Definition; Notation; Subset, empty set, power set; Venn-diagrams; Union, intersection, complement; Set identities; Simplification of set expressions, normal forms; Cartesian product; Countable and uncountable sets;
Combinatorics: Induction; Permutations; Combinations; Binomial Theorem; Multinomial Theorem;
Functions: Definition, graph of a function; One-one, onto and bijective functions; Increasing, decreasing, even and odd functions; Sum, product, quotient and composition of functions; Inverse function; Limit of a function; Continuity; Intermediate value theorem;
Differentiation: Definition; Product-, quotient-, chain rule; Derivative of some classes of functions;
Derivative of the inverse function; L´Hospital´s rule; Extreme values;
Infinite series: Sequences; Series, tests for convergence; Radius of convergence of a power series; Taylor polynomial and remainder;
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)
On-site course
Maximum number of participants 100
Assignment procedure Assignment according to priority