M2010 Mathematics II

Faculty of Science
Spring 2023
Extent and Intensity
2/0/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
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
Mon 14:00–15:50 M5,01013
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 teach students basic techniques of differential equations of first and second order, multivariable calculus, and elements of vector calculus. At the end of the course students will master basic techniques of calculus in several variables.
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 concepts and tools of the differential and integral calculus of the functions in the several variables and of the vector calculus, in particular to find the extrema and to solve the basic integrals including the curve and surface integrals.
Syllabus
  • Differential equations of the first order
  • Differential equations of the second order
  • Calculus of several variable
  • Multiple integrals
  • Line integral
  • Surface integral
  • Basic notions of vector analysis
Literature
    recommended literature
  • DOŠLÁ, Zuzana and Petr LIŠKA. Matematika pro nematematické obory : s aplikacemi v přírodních a technických vědách. 1. vyd. Praha: Grada, 2014, 304 s. ISBN 9788024753225. URL info
    not specified
  • 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
Lectures with excersise to learn students necessery computational skills with possible applications in chemistry.
Assessment methods
Lecture. Written exam. It consists of two parts: the first one is usually 10 questions evaluated by 12 points, the second one consists of 4 algoritmic examples evaluated by 4 points. 50% of correct answers from every parts is needed to pass.
Language of instruction
Czech
Further Comments
The course is taught annually.
Listed among pre-requisites of other courses
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 2021, Spring 2022, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2023, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2023/M2010