M2020 Mathematics II - seminar

Faculty of Science
Spring 2021
Extent and Intensity
0/2/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Zuzana Došlá, DSc. (lecturer)
RNDr. Pavel Šišma, Dr. (seminar tutor)
Guaranteed by
prof. RNDr. Zuzana Došlá, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable of Seminar Groups
M2020/01: Mon 1. 3. to Fri 14. 5. Wed 18:00–19:50 online_M6, P. Šišma
M2020/02: Mon 1. 3. to Fri 14. 5. Wed 16:00–17:50 online_M6, P. Šišma
Prerequisites (in Czech)
NOW( M2010 Mathematics II )
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
The aim of the course is to practice basic techniques of multivariable calculus and elements of vector calculus, as covered by the course M2010. At the end of the course students will master basic techniques of multivariable and vector calculus.
Learning outcomes
The student will master:
- to solve differential equations of the first and equations of the second order with constant coefficients;
- to use the tools of the differential and integral calculus of the functions in the several variables, in particular to find the extrema and to solve the basic integrals including the curve integrals.
Syllabus
  • Limits
  • Partial derivatives
  • Extremal problems
  • Solving ordinary differential equations
  • Computing multiple integrals
  • Computing line integrals
  • Green theorem
  • Computing surface integrals
  • Gauss theorem
  • Basic notions of vector calculus
Literature
  • DOŠLÁ, Zuzana. Matematika pro chemiky, 2. díl (Mathematics for chemistry students). 1st ed. Brno: Masarykova univerzita, 2011, 131 pp. ISBN 978-80-210-5432-5. URL info
Teaching methods
Computation of standard examples from treated topics of mathematics complemented with possible application in chemistry and physics.
Assessment methods
2 written tests, at least 50 % in total.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, 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 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2021, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2021/M2020