ECTS
ECTS Course Catalogue
Course details
Course code: BIS10009o12Semester: 2012/2013 summer
Name: SELECTED TOPICS IN HIGHER MATHEMATICS
Major: Bioinformatics
Study Type: first cycle
Course type: compulsory
Study Semester: 2
ECTS points: 4
Hours (Lectures / Tutorials / Other): 15 / 30 / 0
Lecturer: dr Mariusz Grządziel
Language of instruction: Polish
Learning outcomes: Knowledge: W1 - The student knows the basic notions of mathematical logic, set theory, matrix algebra, probability theory. W2 - The student has sufficient knowledge of the basic mathematical tools for modelling biological phenomena and processes, such as: system of linear equations, probability distribution, function of several variables, least squares method. W3 - The student has the knowledge of mathematical methods used for analysis of biological data: distribution of a random variable, independence of random variables, matrix, regression line. Skills: U1 - The student uses the language of such branches of mathematics as set theory, matrix algebra and probability theory for describing biological phenomena.
Competences:
Prerequisites: Mathematics
Course content: Elements of logic. Sets, relations, functions. The notion of a matrix. Solving linear systems. Matrix algebra. Functions of several variables. Random variable. Discrete and continuous random variables. Pair of random variables. Linear regression model.
Recommended literature: Koronacki, J., Mielniczuk, J. : Statystyka dla studentów kierunków technicznych i przyrodniczych, WNT, Warszawa 2001 Krysicki, W., Włodarski, L. : Analiza matematyczna w zadaniach, część 1, PWN, Warszawa, 2003 Wrzosek, D.: Matematyka dla biologów, Wydawnictwo Uniwersytetu Warszawskiego, Warszawa, 2008
Assessment methods: Tutorials: Two written tests (45 minutes), 2 shorts written test (20 minutes). The students will receive points for the tests and for properly solved problems ,,at the blackboard’’ during the classes. The final grade will be based on the sum of obtained points. The students are obliged to participate in the classes – only one absence (which is not caused by illness etc.) is allowed during the semester. Lectures: The students will write the final test (at the end of the semester). The g
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