 |
| 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)
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