Use of differential and integral calculus - O02310054
Title: Užití diferenciálního a integrálního počtu
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2022
Semester: winter
E-Credits: 5
Examination process: winter s.:
Hours per week, examination: winter s.:2/1, C+Ex [HT]
Capacity: unknown / unknown (999)
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: Czech
Teaching methods: full-time
Explanation: Rok3Student zapíše jeden z kurzů Funkce více proměnných nebo Metody matematické anal
Note: course can be enrolled in outside the study plan
enabled for web enrollment
priority enrollment if the course is part of the study plan
Classification: Mathematics > Real and Complex Analysis
Pre-requisite : O0231SOUB
Opinion survey results   Examination dates   Schedule   Noticeboard   
Annotation -
Functions with parameters, sequences of functions. Problems on extremes. Applications in geometry and/or physics. Differential equations andsystems of DEs - applicationsin physics, chemistry, biology. Taylor and Fourier series, their applications to ordinary and partial DEs .
Last update: JARNIK/PEDF.CUNI.CZ (14.04.2008)
Aim of the course -

To teach students to use the knowledge from theoretical courses in various applied problems.

Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Literature -

Marsden, J., Weinstein, A.: Calculus. Springer Verlag, New York, Berlin, Heidelberg, Tokyo 1980

Barnett, R.A., Ziegler, M.R.: Applied Calculus, Dellen Publ. House, San Francisco 1988

Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Teaching methods -

Seminar and lecture

Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Requirements to the exam -

Seminar:

  • regular attendance
  • correct elaboration of homeworks
  • passing the current tests

Exam:

  • mastering of definitions, theorems and proofs, ability to illustrate them by examples and counterexamples
  • mastering of methods of calculation of primitive functions and integrals and ability to apply them to solving of problems
Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)
Syllabus -

Functions with parameters, sequences of functions. Problems on extremes. Application of Calculus in geometry and/or physics. Differential equations andsystems of DEs - applications in physics, chemistry, biology, economics. Taylor and Fourier series, their use for solving ordinary and partial DEs.

Last update: JARNIK/PEDF.CUNI.CZ (01.04.2009)