ECTS
ECTS Course Catalogue
Course details
Course code: IBS10034o12Semester: 2012/2013 winter
Name: Math_Alalysis I
Major: Civil Engineering
Study Type: first cycle
Course type: compulsory
Study Semester: 1
ECTS points: 7
Hours (Lectures / Tutorials / Other): 30 / 30 / 0
Lecturer: dr Zbigniew Jurzyk
Language of instruction: Polish
Learning outcomes: During the course student gets a knowledge about mathematical analysis, differential and integral calculus and applications in technical problems.
Competences: Passing the course permits learn physic and other technical courses.
Prerequisites: Mathematic course at high school and selected topics in algebra
Course content: Limit of sequence. Limit and continuity of a function of one variable. Derivative of a function of one variable. Examination of a function. Indefinite integral. Definite integral, improper integral. Applications of integral calculus in geometry, physics and technics. Differential calculus of functions of several variables. Double integral. Number series and power series. Line integrals. Applications of line and surface integrals in physics and engineering. First and second order ordinary differential equations.
Recommended literature: T. Jurlewicz, Z. Skoczylas, Analiza matematyczna 1, 2, Definicje, twierdzenia, wzory, Oficyna Wydawnicza GiS, Wrocław 1999 T. Jurlewicz, Z. Skoczylas, Analiza matematyczna 1, 2, Przykłady i zadania, Oficyna Wydawnicza GiS, Wrocław 1999 W. Krysicki, L. Włodarski. Analiza matematyczna w zadaniach cz.1, 2 PWN Warszawa 1997
Assessment methods: written exam at least 60%
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