Conducted in terms: 2021/22_Z, 2022/23_Z, 2023/24_Z, 2024/25_Z

Erasmus code: 13.1

ECTS credits: 2

Language: Polish

Organized by: Faculty of Biology and Environmental Sciences

Related to study programmes:

Biology - full-time first cycle studies

Mathematics WB-BI-11-02ćw

Repetition of the most important issues in mathematics in the field of secondary school material (such as topics related to linear and quadratic functions, polynomials, trigonometry, sequences)
Fundamentals of mathematical analysis and algebra: basics of differential and integral calculus of one variable, matrix calculus, solving systems of linear equations, basic knowledge of complex numbers.

Term 2022/23_Z:

1. Elements of logic and set teory.
2. Basic features of the function. Linear function. Quadratic function. Polynomials. Rational function.
3. Trigonometric Functions. The exponential function. Logarithmic function.
4. Sequences. Series.
5. Functions, limits, continuity.
6. Asymptotes.
7. Derivative.
8. Examination of variability of the function.
9. Integral.
10. Integration by parts and by replacement.
11. Riemann's integral.
12. Complex numbers.
13. Moivre's formula and its applications.
14. Matrices.
15. Systems of linear equations.

Term 2023/24_Z:

Term 2024/25_Z:

(in Polish) E-Learning

Term 2020/21_Z:

(in Polish) E-Learning

Term 2024/25_Z:

(in Polish) E-Learning (pełny kurs) z podziałem na grupy

(in Polish) Grupa przedmiotów ogólnouczenianych

(in Polish) nie dotyczy

(in Polish) Opis nakładu pracy studenta w ECTS

(in Polish) Opis ECTS: Wykłady: - udział w wykładach - 30h - przygotowanie do egzaminu - 25h - konsultacje z prowadzącym - 5h Ćwiczenia: - udział w ćwiczeniach - 30h - przygotowanie prac domowych - 15h - przygotowanie do kolokwiów - 15h Razem 120h/30=4 ECTS (w tym wykład 2 i ćwiczenia 2)

Subject level

elementary

Learning outcome code/codes

BI1_U03, BI1_K02

Type of subject

obligatory

Preliminary Requirements

(in Polish) brak.

Course coordinators

Term 2023/24_Z:

Term 2019/20_Z:

Term 2021/22_Z:

Term 2020/21_Z:

Term 2022/23_Z:

Term 2024/25_Z:

Hubert Grzebuła
Bożena Tkacz

Learning outcomes

Knowledge of elementary functions, especially exponential, logarithmic, and trigonometric functions. The ability to use derivates to study the variation of functions, to apply integrals to compute area of surface, the ability to solve linear equation systems, the ability to present the complex number in trigonometric form and to apply the Moivre formula.

Assessment criteria

Homeworks and colloquia.

Bibliography

1.M. Gewert, Z. Skoczylas „Analiza matematyczna 1 (Definicje, twierdzenia, wzory)”
2. M. Gewert, Z. Skoczylas „Analiza matematyczna 1 (Przykłady i zadania)”
3. W. Krysicki, L.Włodarski „Analiza matematyczna w zadaniach tom I”
4. T. Jurlewicz, Z. Skoczylas „Algebra liniowa 1 (Definicje, twierdzenia, wzory)”
5. T. Jurlewicz, Z. Skoczylas „Algebra liniowa 1 (Przykłady i zadania)”

Term 2022/23_Z:

Term 2023/24_Z:

Term 2024/25_Z:

Notes

Term 2021/22_Z:

Term 2022/23_Z:

Term 2023/24_Z:

Term 2024/25_Z:

Additional information

Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:

Biology - full-time first cycle studies

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

Description of WB-BI-11-02ćw in USOSweb