470-2105/02 – 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 graduate
Study languageEnglish
Year of introduction2015/2016Year of cancellation2015/2016
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
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, Ph.D.
JIR0013 Ing. Pavla Jirůtková
KUB59 RNDr. Michael Kubesa, Ph.D.
KUB0410 Mgr. Veronika Kubíčková
LAM05 prof. RNDr. Marek Lampart, Ph.D.
MER126 Ing. Michal Merta, Ph.D.
SIM46 Mgr. Lenka Přibylová, Ph.D.
SIL075 Ing. Adam Silber
SIN29 RNDr. Libor Šindel
VAV0038 Ing. Radim Vavřík
VOD03 doc. 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
Part-time 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

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; 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

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

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

Předmět neobsahuje žádné hodnocení.