470-2105/01 – Mathematical Analysis for IT (MAIT)

Gurantor departmentDepartment of Applied MathematicsCredits7
Subject guarantorprof. RNDr. Jiří Bouchala, Ph.D.Subject version guarantorprof. RNDr. Jiří Bouchala, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2010/2011Year of cancellation2018/2019
Intended for the facultiesFEIIntended for study typesBachelor
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+4
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

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 zadaný projekt. Za testy lze získat maximálně 24 body, za projekt 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; 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

Combined form (validity from: 2010/2011 Winter semester, validity until: 2018/2019 Summer 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
2014/2015 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2014/2015 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology (1103R031) Computational Mathematics P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology (2601R013) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology (2612R025) Computer Science and Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology (2612R059) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2647) Information and Communication Technology P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2647) Information and Communication Technology K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner