MA2BP_PAN2 Mathematical Analysis 2

Faculty of Education
Autumn 2018
Extent and Intensity
2/0/0. 3 credit(s). Type of Completion: k (colloquium).
Teacher(s)
RNDr. Břetislav Fajmon, Ph.D. (lecturer)
RNDr. Karel Lepka, Dr. (lecturer)
prof. Mgr. Pavel Řehák, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Integral calculus of functions of one variable and differential calculus of functions of more variables. At the end of this course, students should be able to: find an antiderivative; construct and find value of Riemann integral; apply this integral to find area and volume; explain the concept of limit, partial derivative, differential and related concepts for functions of more variables; apply this theory to find e.g. tangent hyperplane or to solve extremization problems.
Syllabus
  • Integral calculus of functions of one variable: antiderivative, indefinite integral, methods of integration, Riemann integral, properties, improper integrals, geometrical and physical applications. Differential calculus of functions of more variables: limit, continuity, partial derivative, extrema, implicit functions
Literature
  • Řehák, Pavel. Diferenciální počet funkcí více proměnných. Doplňkový učební text. http://users.math.cas.cz/~rehak/vyuka.html
  • V. Novák, Integrální počet funkcí jedné reálné proměnné, skr. PdF MU Brno, 1995
  • DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. 3. vyd. Brno: Masarykova univerzita, 2006, iv, 144. ISBN 9788021041592. info
  • DOŠLÁ, Zuzana, Roman PLCH and Petr SOJKA. Diferenciální počet funkcí více proměnných s programem Maple V. Brno: Masarykova univerzita, 1999, 1 CD-ROM. ISBN 8021022035. info
  • DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vydání první. Brno: Vydavatelství Masarykovy univerzity, 1994, 130 stran. ISBN 8021009926. info
Teaching methods
Lectures.
Assessment methods
Lecture. Written examination (theory + examples). A necessary condition for writing a test is to gain credits for the associated seminar.
Language of instruction
Czech
Further comments (probably available only in Czech)
Information on completion of the course: Nutnou podmínkou k ukončení předmětu je získání zápočtu z MA2BP_CAN2.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2008, Spring 2009, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2018/MA2BP_PAN2