470-2110/06 – Mathematical Analysis 1 (MA1)

Gurantor departmentDepartment of Applied MathematicsCredits6
Subject guarantorprof. RNDr. Jiří Bouchala, Ph.D.Subject version guarantorprof. RNDr. Jiří Bouchala, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFS, FEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BOU10 prof. RNDr. Jiří Bouchala, Ph.D.
KOV74 Mgr. Tereza Kovářová, Ph.D.
SAD015 Ing. Marie Sadowská, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+3
Part-time Credit and Examination 12+12

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
Project work

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:

J. Bouchala, M. Sadowská: Mathematical Analysis I (www.am.vsb.cz/bouchala)

Recommended literature:

L. Gillman, R. H. McDowell: Calculus, New York, W.W. Norton & Comp. Inc. 1973

Way of continuous check of knowledge in the course of semester

Tests, individual work. Written exam.

E-learning

Other requirements

No additional requirements are imposed on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Real Number System. 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: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30  10
        Examination Examination 70  21
Mandatory attendence parzicipation: Participation at all exercises is obligatory, 2 apologies are accepted. Participation at all lectures is expected.

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2020/2021 (B0714A150002) Control and Information Systems P English Ostrava 1 Compulsory study plan
2020/2021 (B0714A150004) Computer Systems for the Industry of the 21st. Century P English Ostrava 1 Compulsory study plan
2020/2021 (B0714A060017) Biomedical Technology K English Ostrava 1 Compulsory study plan
2020/2021 (B0714A060017) Biomedical Technology P English Ostrava 1 Compulsory study plan
2020/2021 (B0714A060019) Biomedical Assistive Technology P English Ostrava 1 Compulsory study plan
2020/2021 (B0714A060013) Applied Electronics P English Ostrava 1 Compulsory study plan
2020/2021 (B0714A060009) Mobile Technology P English Ostrava 1 Compulsory study plan
2020/2021 (B0714A060011) Telecommunication Technology P English Ostrava 1 Compulsory study plan
2020/2021 (B0713A060006) Electrical Power Engineering P English Ostrava 1 Compulsory study plan
2020/2021 (B0713A060008) Automotive Electronic Systems P English Ostrava 1 Compulsory study plan
2020/2021 (B0714A060020) Electrical Engineering P English Ostrava 1 Compulsory study plan
2019/2020 (B0714A150002) Control and Information Systems P English Ostrava 1 Compulsory study plan
2019/2020 (B0714A060011) Telecommunication Technology P English Ostrava 1 Compulsory study plan
2019/2020 (B0714A150004) Computer Systems for the Industry of the 21st. Century P English Ostrava 1 Compulsory study plan
2019/2020 (B3973) Automotive Electronic Systems P English Ostrava 1 Compulsory study plan
2019/2020 (B0713A060006) Electrical Power Engineering P English Ostrava 1 Compulsory study plan
2019/2020 (B0714A060017) Biomedical Technology P English Ostrava 1 Compulsory study plan
2019/2020 (B0714A060017) Biomedical Technology K English Ostrava 1 Compulsory study plan
2019/2020 (B0714A060013) Applied Electronics P English Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
V - ECTS - bc. 2020/2021 Full-time English Optional 401 - Study Office stu. block