M1510 Mathematical Analysis 1

Faculty of Science
autumn 2017
Extent and Intensity
2/2/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jaromír Šimša, CSc. (lecturer)
RNDr. Pavel Šišma, Dr. (seminar tutor)
Guaranteed by
doc. RNDr. Jaromír Šimša, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 18. 9. to Fri 15. 12. Fri 8:00–9:50 M1,01017
  • Timetable of Seminar Groups:
M1510/01: Mon 18. 9. to Fri 15. 12. Fri 10:00–11:50 M2,01021, P. Šišma
M1510/02: Mon 18. 9. to Fri 15. 12. Fri 12:00–13:50 M2,01021, P. Šišma
Prerequisites
High school mathematics.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 7 fields of study the course is directly associated with, display
Course objectives
At the end of the course students should be able to understand and explain basic notions and results of differential calculus a and apply them to concrete function analysis.
Learning outcomes
At the end of the course students should be able to understand and explain basic notions and results of differential calculus a and apply them to concrete function analysis.
Syllabus
  • Real numbers. Sequences and elementary functions. Differential calculus of one variable (limit and continuity, derivative, investigation of the graphs of functions, Taylor's formula).
Literature
  • 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
  • Diferenciální počet. Edited by Vojtěch Jarník. Vyd. 6. nezměn. Praha: Academia, 1974, 391 s. URL info
  • NOVÁK, Vítězslav. Diferenciální počet v R (Differential number in R). Brno: Masarykova univerzita Brno, 1997, 250 pp. ISBN 80-210-1561-6. info
Teaching methods
Standard lecture complemented with an excercise to teach students needed computionals skills.
Assessment methods
Completion is firstly based on two tests written during the semester. It is required to obtain at least 50% of points in each test. Exam: written and oral. It is necessary to obtain at least 50% of points from the total amount of the written exam.
Language of instruction
Czech
Follow-Up Courses
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2018.
  • Enrolment Statistics (autumn 2017, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2017/M1510