M1010 Mathematics I

Faculty of Science
Autumn 2023
Extent and Intensity
3/0/0. 3 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 14:00–16:50 M1,01017
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 the elements of differential and integral calculus and linear algebra. At the end of the course students will master the basic techniques of calculus and linear algebra.
Learning outcomes
The student will master the concepts and tools of the differential and integral calculus of the function in the one variable, of the infinite number and power series and of the linear algebra, in particular;
- to solve the systems of linear equations;
- to find the extrema and the graphs of the function;
- to calculate the basic integrals;
- to calculate the surface area and the volume of the rotation solid figure;
- to find the expansion of the function to the power series;
- to apply the mathematical konwledges in physics.
Syllabus
  • Linear Algebra
  • Functions
  • Limits
  • Derivatives
  • Extremes of functions
  • Applied problems
  • Antiderivatives
  • Definite integral
  • Improper integrals
  • Infinite series
Literature
  • DOŠLÁ, Zuzana. Matematika pro chemiky, 1.díl (Mathematics for chemistry students). Masarykova univerzita. Brno: Masarykova univerzita, 2010, 120 pp. ISBN 978-80-210-5263-5. info
Teaching methods
Lectures on elements of differential and integral calculus of functions of one variable and elements of linear algebra. Mathematical theory is complemented with basic applications in chemistry and excercice to teach students skills in basic higher mathematics calculus.
Assessment methods
Lectures. 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
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Listed among pre-requisites of other courses
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 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2024.
  • Enrolment Statistics (Autumn 2023, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2023/M1010