1437212563

COURSE DESCRIPTION

•    Course codę: MAP009889

•    Course title: Algebra and Analytic Geometry

•    Language of the lecturer: polish

Course form	Lecture	Classes	Laboratory	Project	Seminar
Number of hours/week
Number of hours/semester	18	18
Form of the course completion	Test	Test
ECTS credits	3	2
Total Students Workload	90	60

•    Level of the course: basie

•    Prerequisites: 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: The aim of the course is to acąuaint students with basie notions of algebra and analytic geometry on the piane and space.

•    Lecture

Contents of particular hours	Number of hours
1. ALGEBRAIC EXPRESSIONS. Transformation of algebraic expressions. Algebraic identities. MATHEMATICAL INDUCTION. Newton binomial formula. Application of mathematical induction to verification of inequalities and identities.	2
2. ANALYTIC GEOMETRY ON PLANE. Vectors on the piane. Operations on vectors. Scalar product. Orthogonality. Eąuations of the linę (normal, directional, parametric). Parallel and perpendicular lines. Distance between a point and a linę.	2
3. CONIC SECTIONS. Circle, ellipse, hyperbola and parabola. Eąuations and properties. MATRICES. Operations on matrices (addition, multiplication and	2