Basics in mathematics and statistics 2600-MATSA-1-S1

The mathematical part includes the following topics:
1) Basic operations on matrices
2) Determinants of matrices and inverse matrices
3) Solving linear equations using matrices: method using inverse matrices, Cramer's method, Gaussian elimination method
4) Properties of elementary functions with emphasis on trigonometric and exponential functions
5) Introduction to the concept of a function limit
6) Basics of differential calculus
7) Basics of integral calculus
The statistical part includes the following topics:
1) Introduction of concepts such as population and statistical sample, random variable, statistical distribution, and types of measurement scales
2) Discussion of basic discrete and continuous distributions with emphasis on the normal (Gaussian) distribution
3) Introduction to hypothesis testing
4) Parametric tests: t-test, F-test, analysis of variance and nonparametric tests such as chi-squared test
5) Introduction to correlation analysis and linear regression

Total student workload

15h: lecture 24h: course 35h: preparing for lectures and courses 1h: consultations Total: 75h (3 ECTS = 75h)

Learning outcomes - knowledge

(in Polish) (K_W07) - charakteryzuje elementy analizy matematycznej i metody statystyczne wykorzystywane przy przygotowywaniu ekspertyz sądowych;

Learning outcomes - skills

(in Polish) (K_U08) - posługuje się podstawowymi metodami matematycznymi i statystycznymi do analizy danych; (K_U02) - potrafi pobierać i zabezpieczać materiał biologiczny w miejscu zdarzenia oraz dobierać optymalne metody analizy pozyskanego materiału, w tym również analizy statystyczne;

Learning outcomes - social competencies

(in Polish) (K_K06) - akceptuje stosowanie metod matematyczno–statystycznych i informatycznych w biologii sądowej.

Teaching methods

Lecture and course

Observation/demonstration teaching methods

- display

Expository teaching methods

- participatory lecture
- informative (conventional) lecture

Exploratory teaching methods

- practical

Type of course

compulsory course

Prerequisites

Mathematical and statistical skills at the high school level.

Course coordinators

Marcin Piwczyński

Assessment criteria

From the lecture part (mathematical), the final exam consists of 10 problems to be solved independently. Grades are awarded according to the following scoring: 10 points - 5; 9 points - 4.5; 8 points - 4; 7 points - 3.5; 6 points - 3; <6 points - 2.

From the practical (statistical) part of the final colloquium in the form of 10 test questions. Grades are awarded according to the following scoring: 10 points - 5; 9 points - 4.5; 8 points - 4; 7 points - 3.5; 6 points - 3; <6 points - 2.

A student must receive a positive grade in both the mathematical and statistical parts to pass the course. Every student has the right to retake the exam or colloquium if they receive an insufficient grade on the first attempt.

Practical placement

Bibliography

Łomnicki A. Wprowadzenie do statystyki dla przyrodników. PWN
Any high school mathematics textbooks, especially from the 1960s, 1970s, and 1980s.
Any YouTube channels related to mathematical topics.

Additional information

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 2600-MATSA-1-S1 in USOSweb