Inhalt

[ 675MATHCA218 ] Modul (*)Calculus II

Versionsauswahl
(*) Leider ist diese Information in Deutsch nicht verfügbar.
Workload Form der Prüfung Ausbildungslevel Studienfachbereich VerantwortlicheR Anbietende Uni
5 ECTS Kumulative Modulprüfung B1 - Bachelor 1. Jahr Mathematik Josef Danecek USB Budweis
Detailinformationen
Quellcurriculum Bachelorstudium Bioinformatics 2018W
Ziele (*)Mastering integration of functions of one variable.
Lehrinhalte (*)
  1. Indefinite integral, substitution method, integration by parts
  2. Riemann (definite) integral (Riemann sums, existence of Riemann integral), relationship between indefinite and Riemann integrals
  3. Application of definite integral (area between two curves, volumes of solids of revolution, lengths of curves, centers of mass, mean value, etc.)
  4. Transcendental functions (exponential, logarithmic, general power), inverse functions to trigonometric functions and hyperbolic functions
  5. Methods of integration (integration by parts, substitution method, integration of trigonometric functions, method of partial fractions, integration of rational functions)
  6. Improper integrals
  7. Methods of numerical integration (using programs Mathematica/Maple/Matlab)
Sonstige Informationen (*)Aquivalente Lehrveranstaltungen: 675MATHCA213: Modul Calculus II (6 ECTS)
Untergeordnete Studienfächer, Module und Lehrveranstaltungen