SubjectsSubjects(version: 945)
Course, academic year 2023/2024
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Calculus I - OB2310006
Title: Matematická analýza I
Guaranteed by: Katedra matematiky a didaktiky matematiky (41-KMDM)
Faculty: Faculty of Education
Actual: from 2022
Semester: winter
E-Credits: 4
Examination process: winter s.:
Hours per week, examination: winter s.:2/2, 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
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
Guarantor: prof. RNDr. Ladislav Kvasz, DSc., Dr.
Mgr. Derek Pilous, Ph.D.
Class: Matematika 1. cyklus - povinné
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Pre-requisite : OB2310206
Is pre-requisite for: OB2310004, OB2310N004
Is interchangeable with: OKB2310006
Annotation -
Last update: Mgr. Derek Pilous, Ph.D. (17.10.2016)
Lectures are focused on the basic notions of mathematical analysis, especially theory (definitions, theorems and proofs) of limits and continuity. Tutorials comprise mostly of calculus of limits.
Aim of the course -
Last update: Mgr. Derek Pilous, Ph.D. (17.10.2016)

The aim of the course is to familiarize students with notions of limit and continuity (theoretically and practically) and with basic methods of mathematical analysis.

Literature -
Last update: KVASZ/PEDF.CUNI.CZ (10.04.2009)

§ Jarník, V.: Diferenciální počet I, II. Praha: Academia 1984.

§ Jarník, J.: Posloupnosti a řady. Praha: Mladá fronta, 1979.

§ Kubínová, M. - Novotná, J.: Posloupnosti a řady. Matematická analýza, teoretická aritmetika. [Skriptum.] Praha: Karolinum 1997.

§ Novotná, J. a kol.: Sbírka úloh z matematiky (nejen) pro přípravu k maturitě a přijímacím zkouškám na vysoké školy. Praha, Scientia 1997.

§ Veselý, J.: Matematická analýza pro učitele, I. a II. díl, Praha: MATFYZPRESS, 2004.

§ Snítal, J. - Šalát, T.: Posloupnosti a řady pro 3. ročník gymnázií se zaměřením na matematiku. Praha, SPN 1986.

§ Děmidovič, B.P.: Sbírka úloh a cvičení z matematické analýzy. Fragment, Praha 2004

Teaching methods -
Last update: Mgr. Derek Pilous, Ph.D. (17.10.2016)

lecture and tutorial

Requirements to the exam -
Last update: doc. RNDr. Antonín Jančařík, Ph.D. (29.10.2019)

The course is taught only in Czech, so the requirements are only in Czech.

Syllabus -
Last update: KVASZ/PEDF.CUNI.CZ (10.12.2013)
limit of a sequence,

operations with limits of sequences,

the notion of a function,

limits of functions,

the notion of a derivative,

properties of differentiable functions.

 
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