BOMA0222p Mathematics II - lecture

Faculty of Medicine
spring 2025
Extent and Intensity
2/0/0. 3 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
Mgr. Jakub Záthurecký, Ph.D. (lecturer)
doc. RNDr. Lenka Přibylová, Ph.D. (alternate examiner)
Guaranteed by
doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Lenka Herníková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Prerequisites
BOMA0121c Mathematics I-p
BOMA0121c
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
At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
Learning outcomes
At the end of the course students should be able to understand basic concepts and theory of differential and integral calculus of functions of one real variable and some parts of differential and integral calculus of functions of more than one variable. The course BOMA0222c (practice) belongs to this lecture.
Syllabus
  • Differential calculus in one real variable. Derivative and its geometrical meaning. Extrems, inflex points, differential, l'Hospital's rule. Graphs of functions. Taylor polynomial. Integral calculus in one variable. Primitive function, basic formulas. Per partes and substitution methods. Riemann integral and its geometric applications. Infinite integral. Differential calculus in two real variables. Basic ideas, domain of definition, graph, limit and continuity. Partial derivatives, tangent plane and differential. Local extremes. Integral calculus in two real variables. Double integral, Fubini's theorem, transformation to polar coordinates. Geometric applications of double integrals.
Literature
  • PŘIBYLOVÁ, Lenka and Robert MAŘÍK. Matematika I. a II. Elportál. Brno: Masarykova univerzita, 2007. ISSN 1802-128X. URL info
  • http://www.math.muni.cz/~pribylova/prednaska.pdf
  • DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
  • NOVÁK, Vítězslav. Integrální počet v R. 3., přepracované vyd. Brno: Masarykova univerzita, 2001, 85 pp. ISBN 80-210-2720-7. info
  • DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
  • SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. Translated by Ilja Černý. 2., změn. a dopl. vyd., Vyd. Praha: Academia, 1973, 495 s. URL info
Teaching methods
lectures
Assessment methods
written and oral exam
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: every week.
Information on the extent and intensity of the course: 30.
Listed among pre-requisites of other courses
Teacher's information
https://is.muni.cz/auth/elearning/warp?kod=BOMA0222p;predmet=1014550;qurl=%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp;zpet=%2Fauth%2Fel%2F1411%2Fjaro2018%2FBOMA0222p%2Findex.qwarp%3Finfo;zpet_text=Zp%C4%9Bt%20do%20Spr%C3%A1vce%20soubor%C5%AF
The course is also listed under the following terms Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, spring 2019, spring 2020, spring 2021, spring 2022, spring 2023, spring 2024.
  • Enrolment Statistics (spring 2025, recent)
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