470-2110/02 – Mathematical Analysis 1 (MA1)

Gurantor departmentDepartment of Applied MathematicsCredits8
Subject guarantorprof. RNDr. Jiří Bouchala, Ph.D.Subject version guarantorprof. RNDr. Jiří Bouchala, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
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
Combined Credit and Examination 15+15

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

Průběžná kontrola studia: Studenti v průběhu semestru budou psát písemné testy a vypracují zadané projekty. Za testy lze získat maximálně 24 body, za projekty 6 bodů. Podmínky udělení zápočtu: K získání zápočtu je nutné získat minimálně 10 bodů.

E-learning

Další požadavky na studenta

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

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2019/2020 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2019/2020 (B0541A170009) Computational and Applied Mathematics P English Ostrava 1 Compulsory study plan
2018/2019 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2018/2019 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2017/2018 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2017/2018 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2016/2017 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan
2016/2017 (B2647) Information and Communication Technology K English Ostrava 1 Compulsory study plan
2015/2016 (B2647) Information and Communication Technology P English Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
V - ECTS - bc. 2019/2020 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2018/2019 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2017/2018 Full-time English Optional 401 - Study Office stu. block
V - ECTS - bc. 2016/2017 Full-time English Optional 401 - Study Office stu. block