4. Computing the derivatives of single variable functions. |
4 | |
5. Application of derivatives to analyze single variable functions: necessary and sufficient conditions of existing of local and global extrema, monotonicity, inflection points, curvature. L'Hópital's rule. Asymptotes. |
6 | |
6. Computing basie types of indefinite integrals by means of integrating by substitution and by parts. |
4 | |
7. Computing basie types of definite integrals. Area of figures. |
2 | |
8. Partial derivatives and local extrema of many variable functions |
4 | |
9.2 colloguia |
4 | |
TOTAL 30 | ||
Education methods |
Lecture, exercises in groups | |
Form and terms of examination |
Partial exam: Partial exam checks education effects in the rangę of skills (2 colloquia max. 5 problems). Exam: Exam checks education effects in the rangę of knowledge (max. 5 problems) and skills (max. 5 problems) | |
Basic bibliography |
1. B.Batóg, I.Foryś, M.Guzowska, K.Heberlein, Matematyka dla studentów kierunków ekonomicznych, Katedra Ekonometrii i Statystyki Uniwersytetu Szczecińskiego, Szczecin 2004. 2. W. Krysicki, L. Włodarski, Analiza matematyczna w zadaniach, t.1-2, PWN, Warszawa 2003. 3. H. Kryński, Zastosowania matematyki w ekonomii, PWN, Warszawa 1973. | |
Additional bibliography |
1. Dubnicki W., Kłopotowski J., Szapiro T.: Analiza matematyczna. Podręcznik dla ekonomistów, PWN, Warszawa 1996 2. Kwiecińska G.: Analiza matematyczna, Wyd. Uniwersytetu Gdańskiego, Gdańsk 1995. | |
ECTS 4 |