[ 675MATHCA213 ] Module Calculus II

Es ist eine neuere Version 2018W dieses Fachs/Moduls im Curriculum Bachelor's programme Bioinformatics 2018W vorhanden.
Workload Mode of examination Education level Study areas Responsible person Coordinating university
6 ECTS Accumulative module examination B1 - Bachelor's programme 1. year Mathematics Josef Danecek USB Budweis
Detailed information
Original study plan Bachelor's programme Bioinformatics 2014W
Objectives Mastering integration of functions of one variable.
  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)
Subordinated subjects, modules and lectures