PřF:M1030 Math. for biolog. and biochem. - Course Information

M1030 Mathematics for biologists and biochemists

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/Biochemie: Thu 14:00–16:50 prace doma, Z. Pospíšil
M1030/Biologie: Fri 16:00–18:50 prace doma, 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 (in brief); 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
• DOŠLÁ, Zuzana and Petr LIŠKA. Matematika pro nematematické obory : s aplikacemi v přírodních a technických vědách. 1. vyd. Praha: Grada, 2014, 304 s. ISBN 9788024753225. URL 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

• Bi5040 Biostatistics - basic course
• C1471 Applied mathematics for biochemists

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

• Enrolment Statistics (Autumn 2020, recent)
  
• Permalink: https://is.muni.cz/course/sci/autumn2020/M1030