470-8721/01 – Mathematical Analysis I (MAINT)

Gurantor departmentDepartment of Applied MathematicsCredits6
Subject guarantorprof. RNDr. Jiří Bouchala, Ph.D.Subject version guarantorprof. RNDr. Jiří Bouchala, Ph.D.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2010/2011Year of cancellation
Intended for the facultiesHGF, USP, FEI, FS, FMTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BOU10 prof. RNDr. Jiří Bouchala, Ph.D.
JAH02 RNDr. Pavel Jahoda, Ph.D.
KRA0220 Ing. Jan Kracík, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+3

Subject aims expressed by acquired skills and competences

Students will get basic practical skills for work with fundamental concepts, methods and applications of differential and integral calculus of one-variable real functions.

Teaching methods

Lectures
Tutorials

Summary

In the first part of this subject, there are fundamental properties of the set of real numbers mentioned. Further, basic properties of elementary functions are recalled. Then limit of sequence, limit of function, and continuity of function are defined and their basic properties are studied. Differential and integral calculus of one-variable real functions is essence of this course.

Compulsory literature:

L. Gillman, R. H. McDowell: Calculus, New York, W.W. Norton & Comp. Inc. 1973. M. Demlová, J. Hamhalter: Calculus I, skripta ČVUT Praha 1996.

Recommended literature:

J. Stewart: Calculus, Belmont, California, Brooks/Cole Pub. Comp. 1987.

Way of continuous check of knowledge in the course of semester

Průběžná kontrola studia: Studenti v průběhu semestru budou psát písemné testy. Za testy lze získat maximálně 30 bodů. Podmínky udělení zápočtu: K získání zápočtu je nutné získat minimálně 10 bodů.

E-learning

Další požadavky na studenta

Additional requirements for students are not.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Real Number System; the Supremum Theorem. Real Functions of a Single Real Variable. Elementary Functions. Sequences of Real Numbers. Limit and Continuity of a Function. Differential and Derivative of a Function. Basic Theorems of Differential Calculus. Function Behaviour. Approximation of a Function by a Polynomial. Antiderivative (Indefinite Integral). Riemann’s (Definite) Integral.

Conditions for subject completion

Full-time form (validity from: 2012/2013 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 30  10
        Examination Examination 70  21
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B3942) Nanotechnology (3942R001) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2019/2020 (B3942) Nanotechnology (3942R001) Nanotechnology P English Ostrava 1 Compulsory study plan
2019/2020 (B0719A270001) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2019/2020 (B3968) Applied Sciences and Technologies P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0588A170003) Applied Sciences and Technologies P Czech Ostrava 1 Compulsory study plan
2018/2019 (B3942) Nanotechnology (3942R001) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2018/2019 (B3942) Nanotechnology (3942R001) Nanotechnology P English Ostrava 1 Compulsory study plan
2018/2019 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 1 Compulsory study plan
2018/2019 (B1701) Physics (1702R001) Applied Physics P Czech Ostrava 1 Compulsory study plan
2017/2018 (B1701) Physics (1702R001) Applied Physics P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3942) Nanotechnology (3942R001) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3942) Nanotechnology (3942R001) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2016/2017 (B1701) Physics (1702R001) Applied physics P Czech Ostrava 1 Compulsory study plan
2016/2017 (B1701) Physics (1702R001) Applied Physics P Czech Ostrava 1 Compulsory study plan
2015/2016 (B1701) Physics (1702R001) Applied physics P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3968) Applied Sciences and Technologies (3901R076) Applied Sciences and Technologies P Czech Ostrava 1 Compulsory study plan
2014/2015 (B1701) Physics (1702R001) Applied physics P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2013/2014 (B1701) Physics (1702R001) Applied physics P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner