BOMA0121p Mathematics I - lecture

Faculty of Medicine
autumn 2023
Extent and Intensity
2/0/0. 0 credit(s). Type of Completion: -.
Teacher(s)
doc. RNDr. Lenka Přibylová, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Lenka Přibylová, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: Lenka Herníková
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 12:00–13:40 M5,01013
Prerequisites
no prerequisites
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
At the end of the course students should be able to understand basic concepts and theory of vector and linear algebra concepts, analytic geometry of linear and quadratic objects in R^2 and R^3 and introduction to basics of differential calculus of functions of one real variable. The course BOMA0121c (practice) belongs to this lecture.
Learning outcomes
At the end of the course students should be able to understand basic concepts and theory of vector and linear algebra concepts, analytic geometry of linear and quadratic objects in R^2 and R^3 and introduction to basics of differential calculus of functions of one real variable. The course BOMA0121c (practice) belongs to this lecture.
Syllabus
  • Recapitulation and elaboration of undergraduate subjects. Basic concepts of mathematical logic and set theory, number sets. Functions, compound function, properties of functions, inverse function. Properties of elementary functions. Complex numbers and operations with complex numbers, Cartesian and polar form of a complex number, de Moivre's formula. Polynomial and rational functions, expansion of a polynomial to its root factors, Horner scheme, partial fraction expansion of rational function. Linear algebra: vectors, linear dependence, matrices and operations with matrices, rank of a matrix, inverse matrix, determinants, Sarrus's rule, Laplace expansion. Systems of linear equations, Frobenius theorem, Gauss elimination, Cramer's rule. Analytic geometry: linear and quadratic objects in R^2, linear and objects in R^3 Differential calculus of functions of one variable: basic notions, limit and continuity of functions.
Literature
  • https://is.muni.cz/auth/elportal/?id=714697
Teaching methods
lectures
Assessment methods
without completion
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Information on the extent and intensity of the course: 30.
Teacher's information
https://is.muni.cz/auth/elearning/warp?kod=BOMA0121p;predmet=966085;qurl=%2Fel%2F1411%2Fpodzim2017%2FBOMA0121p%2Findex.qwarp;zpet=%2Fauth%2Fel%2F1411%2Fpodzim2017%2FBOMA0121p%2Findex.qwarp%3Finfo;zpet_text=Zp%C4%9Bt%20do%20Spr%C3%A1vce%20soubor%C5%AF
The course is also listed under the following terms 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 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/med/autumn2023/BOMA0121p