1437212570

COURSE DESCRIPTION

•    Course codę: MAP009890

•    Course title: Mathematical Analysis 1

•    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

•    Prereąuisites: High school mathematics

•    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: 1/1

•    Type of the course: obligatory

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

•    Form of the teaching: traditional

•    Course description: Review of basie elementary functions. Limits. Continuity of functions of one variable. Derivative. Examination of a function. Applications of differential calculus in physics and technics. Indefinite integral.

•    Lecture

Contents of particular hours	Number of hours
1. Elements of mathematical logie and set theory. Quantifiers. Sets on the real linę. Function, domain, rangę, graph. Monotonie functions. Basic examples of functions: linear, absolute value, quadratic, polynomial, rational.	3
2. Composition of functions. Transformations of graphs of functions (translation, change of scalę, axial and point symmetry). Directed angle. Trigonometric	3