[ 4MSM1AV ] VL Mathematics Ia
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| Es ist eine neuere Version 2021W dieser LV im Curriculum Bachelor's programme Statistics and Data Science 2024W vorhanden. |
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| (*) Unfortunately this information is not available in english. |
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| Workload |
Education level |
Study areas |
Responsible person |
Hours per week |
Coordinating university |
| 2 ECTS |
B1 - Bachelor's programme 1. year |
Mathematics |
Peter Fuchs |
2 hpw |
Johannes Kepler University Linz |
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| Detailed information |
| Pre-requisites |
(*)keine
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| Original study plan |
Bachelor's programme Statistics 2012W |
| Objectives |
The course supplies the mathematical background for the bachelor curriculum, in particular for the course probability theory and theoretical statistics.
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| 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;
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| Criteria for evaluation |
Exam
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| Methods |
Presentation by the instructor
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| Language |
German |
| Study material |
Lecture notes: Mathematics I
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| Changing subject? |
No |
| Further information |
(*)Übergangsbestimmung: Durch die Absolvierung der Prüfung aus VO Mathematik I (4MSM1V) gelten die Prüfungen aus VO Mathematik Ia (4MSM1AV) und VO Mathematik Ib (4MSM1BV) als abgelegt.
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| On-site course |
| Maximum number of participants |
100 |
| Assignment procedure |
Assignment according to priority |
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