|
Lecturer(s)
|
-
Zahradníková Michaela, RNDr. Ph.D.
-
Berec Luděk, doc. Ing. Dr.
|
|
Course content
|
Content of lectures: Calculus 1 Elementary functions 2 Derivatives 3 Maxima and minima of functions 4 Integral Linear algebra 5 Vectors and matrices 6 Systems of linear equations and their solutions 7 Eigennumbers and eigenvectors of matrices Differential and differential equations 8 Sequences and difference equations 9 Ordinary differential equations 10 Equilibrium points and their stability Probability and random variable 11 Probability 12 Discrete random variables 13 Continuous random variables Content of tutorials/seminar: Illustrations of the discussed material using examples from biology. Presentation and discussion of selected mathematical concepts and approaches that appear in the biological literature, including specific examples of such literature.
|
|
Learning activities and teaching methods
|
|
unspecified
|
|
Learning outcomes
|
The aim of the course is to familiarize students with basic mathematical concepts and methods, which are necessary for mutual understanding when biologists and mathematicians work together, but also for reading specialist literature concerning an interaction of biology and mathematics, or predominantly biological articles, where mathematics is increasingly used. We would like to show students that mathematics is indeed actively used in a number of biological disciplines and point out the areas of mathematics used in these disciplines. In the course, we will suppress an overly technical explanation. On the contrary, we will emphasize an intuitive understanding of individual mathematical concepts and approaches, and we will focus on explaining their most important properties, while trying to make the explanation as illustrative as possible. Topics cover areas found in most applications of mathematics, including biological ones. We will support and illustrate each of the topics listed below, in lectures and exercises, with a number of specific examples from biology.
|
|
Prerequisites
|
unspecified
|
|
Assessment methods and criteria
|
unspecified
To get credits, it is necessary to obtain a minimum of 50% from the assessment tests during the semester. Final written exam needs at least 50% accomplishment, too.
|
|
Recommended literature
|
-
Bodine E. N., Lenhart S., Gross L. J. (2014) Mathematics for the life sciences. Princeton University Press..
-
Došlá Z., Liška P. (2014) Matematika pro nematematické obory. Grada Publishing..
-
Havránek T. (1981) Matematika pro biologické a lékařské vědy. Academia, Praha..
-
Neuhauser C., Roper M. L. (2018) Calculus for biology and medicine. 4th edition. Pearson..
|