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Calculus 3 - NMMA341

Title:	Kalkulus 3
Guaranteed by:	Department of Mathematical Analysis (32-KMA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2023
Semester:	winter
E-Credits:	8
Hours per week, examination:	winter s.:4/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Additional information:	https://www.karlin.mff.cuni.cz/~slavikova/teaching.html

Guarantor:	RNDr. Lenka Slavíková, Ph.D.
Class:	M Bc. FM M Bc. FM > Povinné M Bc. FM > 2. ročník
Classification:	Mathematics > Real and Complex Analysis
Co-requisite :	NMMA211
Incompatibility :	NMAA074, NMMA212
Pre-requisite :	NMMA221
Interchangeability :	NMAA074, NMMA212
Is pre-requisite for:	NMFM332, NMFM334
Is interchangeable with:	NMMA212

Annotation -

Last update: doc. Mgr. Petr Kaplický, Ph.D. (03.06.2019)

The fourth part of a four-semester course in calculus for bachelor's program Financial Mathematics.

Course completion requirements -

Last update: doc. RNDr. Pavel Pyrih, CSc. (14.09.2021)

CONDITIONS FOR SEMESTER 2021/22

Credit will be awarded after the elaboration of tasks (see the link below).

Gaining credit is a condition for taking the exam.

The form of the exam will be full-time or distance and will always be specified in the SIS for individual dates.

The full-time form of the exam will take place as in previous semesters (see the link below).

The distance form of the exam will take place in the Zoom environment and will be a modification of the full-time form.

Everything is described in more detail on the page

http://matematika.cuni.cz/pyrih-kalkulus.html

Literature -

Last update: doc. RNDr. Pavel Pyrih, CSc. (14.09.2021)

W. Rudin: Reálná a komplexní analýza, Academia, 2003.

J. Kopáček: Matematika pro fyziky IV, V

S. Fučík, J. Milota: Matematická analýza II

B. Novák: Funkce komplexní proměnné

Requirements to the exam -

Last update: doc. RNDr. Pavel Pyrih, CSc. (14.09.2021)

see Course completion requirements

Syllabus -

Last update: doc. RNDr. Pavel Pyrih, CSc. (14.09.2021)

Introduction of Banach and Hilbert spaces.

Constrained linear operator.

Lp spaces.

Projection theorem.

Fourier transform.

Introduction to complex analysis.

Entry requirements -

Last update: doc. RNDr. Pavel Pyrih, CSc. (14.09.2021)

To understand the material, it is suitable if the student has already completed the courses Calculus 1 and 2.