[ 551MATHMAIV17 ] VL Mathematics I

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Workload Education level Study areas Responsible person Hours per week Coordinating university
5 ECTS B1 - Bachelor's programme 1. year Mathematics Helga Wagner 4 hpw Johannes Kepler University Linz
Detailed information
Pre-requisites (*)keine
Original study plan Bachelor's programme Statistics 2017W
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