[ 551MATHMIIV14 ] VL Mathematics II

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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 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 statistics curriculum.
Subject Integration: Definition of the Riemann integral; Indefinite integral, Fundamental Theorem of Calculus; Integration by parts, substitutions; Improper integrals, Comparison Theorem; Integral Test for series;
Linear algebra: Classical vectors; Systems of linear equations; Matrices, inverse of a matrix; Determinant of a matrix; Vector spaces, linear hull, linear independence, basis of a vector space; Linear transformations; Eigenvalues and eigenvectors, diagonalization;
Functions of several variables: Domain, range, level sets, graph; Partial derivatives, gradient, directional derivative; Tangent plane; Extreme values with or without constraints; Multiple integrals, evaluation by an iterated integral;
Criteria for evaluation 2 exams
Methods Presentation by the instructor
Language German
Study material Lecture notes: Mathematics II
Changing subject? No
Corresponding lecture (*)4MSM2V: VL Mathematik II (4 ECTS)
On-site course
Maximum number of participants 100
Assignment procedure Assignment according to priority