1437212557

COURSE DESCRIPTION

•    Course codę: MAP009891

•    Course title: Mathematical Analysis 2

•    Language of the lecturer: polish

Course form	Lecture	Classes	Laboratory	Project	Seminar
Number of hours/week
Number of hours/semester	27	18
Form of the course completion	Examination	Test
ECTS credits	6	3
Total Student's Workload	180	90

•    Level of the course: basie

•    Prerequisites: Mathematical Analysis 1

•    First name, surname and title of the lecturer/supervisor: Program Committee of the Institute of Mathematics and Computer Science

•    First name, surname and title of the team's members: Lecturers of the Institute of Mathematics and Computer Science

•    Year/Semester: 1/2

•    Type of the course: obligatory

•    Aims of the course (effect of the course):

•    Form of the teaching: traditional

•    Course description: Definite integral. Improper integral. Differential calculus for functions of two or three variables. Double and triple integrals. Number and power series.

•    Lecture

Contents of particular hours	Number of hours
1. Definite integral. Geometrie and physical interpretation. The first fundamental theorem of calculus (Newton-Leibniz). Integration by parts and by substitution. Properties of definite integral. Mean-value theorem for integrals.	3
2. Integrals over unbounded interval (improper integrals). Tests for convergence. Applications of integral calculus in geometry and in technics.	3
3. Functions of two and three variables. Sets on the piane and in the space. Examples of functions of two variables and their graphs. Partial derivatives of first order. Geometrie interpretation. Higher order partial derivatives. Equality of mixed	3