M1030 Mathematics for biologists

Faculty of Science
Autumn 2018
Extent and Intensity
0/3/0. 4 credit(s) (plus 1 credit for an exam). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Zdeněk Pospíšil, Dr. (lecturer)
Guaranteed by
prof. RNDr. Zdeněk Pospíšil, Dr.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable of Seminar Groups
M1030/01: Mon 17. 9. to Fri 14. 12. Thu 10:00–12:50 M1,01017, Z. Pospíšil
Prerequisites
Basic hight shool mathematics
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
The main objective of this course is to give a general survey of mathematical methods and techniques applicable in life science. In particular:
To understand logical frame of scientific theory;
To follow a probabilistic fundation of statistics;
Be acquainted with basic tools of mathematical modelling of real objects and processes.
An intuitive understanding of concepts and application of techniques to particular problems are emphasized rather than precise mathematical theory.
Learning outcomes
Passing the course, a student will have sound idea on theoretical background of statistical evaluation of data (not only) in life science. A student will be able:
- to evaluate theoretical and/or empirical probability of a stochastic phenomenon;
- to be oriented in linear algebra calculations, in particular in solving systems of equations and in matrix expression of quantitative relations;
- to understand simple mathematical models of dynamic processes.
Syllabus
  • 1. Basic concepts of the logic and the set theory (very briefly]; zero- and first-order logic, elementary notion of sets, mappings, relations
  • 2. Combinatorics
  • 3. Elements of probability theory
  • 4. Vectors, matrices, determinants, operations with them
  • 5. Systems of linear equations
  • 6. Functions and their basic properties, elementary functions
  • 7. Sequences, continuous functions
  • 8. Introduction to differential calculus
  • 9. Introduction to integral calculus
  • 10. Selected applications of definite integrals
  • 11. Differential equations and selected elementary methods of solution
  • 12. Selected simple mathematical models in biology
Literature
    recommended literature
  • NIEDERLE, Josef and Jan OSIČKA. Matematika pro biology. Vyd. 1. Brno: Masarykova univerzita, 1997, 94 s. ISBN 8021015675. info
  • HAVRÁNEK, Tomáš. Matematika pro biologické a lékařské vědy. 1. vyd. Praha: Academia, 1981, 269 s. URL info
  • KOTVALT, Václav. Základy matematiky pro biologické obory. 1. vyd. Praha: Karolinum, 1997, 193 s. ISBN 8071844055. info
  • YEARGERS, Edward K., Ronald W. SHONKWILER and James V. HEROD. An introduction to the mathematics of biology : with computer algebra models. Boston: Birkhäuser, 1996, x, 417 s. ISBN 0-8176-3809-1. info
Teaching methods
Seminar including demonstrative solution of typical problems.
Assessment methods
Two written test during semester.
Test usualy consists of five tasks, at least 50% of successfully solved 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.
Teacher's information
http://www.math.muni.cz/~pospisil/vyuka.html
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 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 2018, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2018/M1030