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

 Gurantor department Department of Applied Mathematics Credits 7 Subject guarantor prof. RNDr. Jiří Bouchala, Ph.D. Subject version guarantor prof. RNDr. Jiří Bouchala, Ph.D. Study level undergraduate or graduate Study language Czech Year of introduction 2010/2011 Year of cancellation Intended for the faculties FEI Intended for study types Bachelor
Instruction secured by
BOU10 prof. RNDr. Jiří Bouchala, Ph.D.
COS004 Ing. Rajko Ćosić
KAB002 Ing. Pavla Hrušková, Ph.D.
JAH02 RNDr. Pavel Jahoda, Ph.D.
VAS266 Ing. Alena Ješko
JIR0013 Ing. Pavla Jirůtková
KUB59 RNDr. Michael Kubesa, Ph.D.
KUB0410 Mgr. Veronika Kubíčková
LAM05 doc. RNDr. Marek Lampart, Ph.D.
MER126 Ing. Michal Merta, Ph.D.
SIM46 Mgr. Lenka Přibylová
SIN29 RNDr. Libor Šindel
VOD03 Mgr. Petr Vodstrčil, Ph.D.
S1A64 RNDr. Petra Vondráková, Ph.D.
ZAP150 Ing. Jan Zapletal, Ph.D.
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.

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

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

Full-time form (validity from: 2010/2011 Winter semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 30 (30) 10
Testy Written test 24  0
Projekt Project 6  0
Examination Examination 70  21
Mandatory attendence parzicipation:

Show history
Combined form (validity from: 2010/2011 Winter semester)
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