Analytic Geometry I
Course code
old course code
Course title in Estonian
Analüütiline geomeetria I
Course title in English
Analytic Geometry I
ECTS credits
Assessment form
lecturer of 2022/2023 Autumn semester
Tõnu Tõnso (language of instruction:Estonian)
lecturer of 2022/2023 Spring semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
Course aims
General subject. The aim of this course is:
To provide an overview of the following concepts: vector, frame, equations of straight lines and planes, quadratic curves, quadratic surfaces.
Brief description of the course
The topics of this course are: Directed line segment and vector. Linear operations with vectors. Scalar product, cross product and triple product of vectors. Basis, frame, coordinates, formulas for transformation of coordinates when frame is translated or rotated. Equations of straight lines on the plane. Transition from one type of equation to other type. Equations of straight lines and planes in three-dimensional space. Reciprocal positions of lines and planes. Polar coordinates. Quadratic curves and their canonical equations. Directrices of ellipse, hyperbola and parabola. Quadratic surfaces and their canonical equations.
Learning outcomes in the course
Upon completing the course the student:
- knows main concepts of analytic geometry;
- is familiar with main properties and theorems of the course;
- is able to solve the standard exercises of anlytic geometry.
Tõnu Tõnso
The course is a prerequisite