Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

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
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 -

Last update: JARNIK/PEDF.CUNI.CZ (14.04.2008)

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 .

Aim of the course -

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

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

Literature -

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

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

Teaching methods -

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

Seminar and lecture

Requirements to the exam -

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

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

Syllabus -

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

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.