Information System of Masaryk University 

Course Information

BOMA0222 Mathematics II

Faculty of Medicine
Spring 2012

Extent and Intensity

2/2/0. 4 credit(s). Type of Completion: zk (examination).

Teacher(s)

RNDr. Ivo Moll, CSc. (lecturer)
RNDr. Lenka Přibylová, Ph.D. (lecturer)
RNDr. Ivo Moll, CSc. (seminar tutor)
RNDr. Lenka Přibylová, Ph.D. (seminar tutor)

Supervisor

RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics - Departments - Faculty of Science
Contact Person: Anna Petruželková
Dodavatelské pracoviště: Department of Mathematics and Statistics - Departments - Faculty of Science

Prerequisites

The course BOMA012

Course Enrollment Limitations

The course is only offered to the students of the study fields the course is directly associated with.

Course objectives

The course provides an introduction to differential and integral calculus of functions of one real variable and introduces basics of differential and integral calculus of functions of more than one variable.

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. Two-variable integral calculus, 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
• 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. vydání třetí, přepracované. Brno: Masarykova univerzita v Brně-PřF, 2001. 89 pp. ISBN 80-210-2720-7. info
• DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. 3. vyd. Brno: Masarykova univerzita, 2006. iv, 144 s. ISBN 80-210-4159-5. info
• SIKORSKI, Roman. Diferenciální a integrální počet : funkce více proměnných. 2. změn. a dopl. vyd. Praha: Academia, 1973. 495 s. info

Assessment methods

written and oral exam

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 2013, Spring 2014.

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• Enrollment Statistics (Spring 2012, recent)
  
• Permalink: https://is.muni.cz/course/med/spring2012/BOMA0222

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