Course code

MLM6525.DT

old course code

Course title in Estonian

Analüütiline geomeetria II

Course title in English

Analytic Geometry II

ECTS credits

3.0

Assessment form

Examination

lecturer of 2023/2024 Spring semester

Mart Abel (language of instruction:Estonian)

lecturer of 2024/2025 Autumn semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

Course aims

The goals of the subject are:
To provide a thorough overview of concepts connected with the quadratic curves;
To teach to use various methods of analytic geometry in order to solve different problems;
To provide the mathematical theory of quadratic curves.

Brief description of the course

Concepts of a pencil and bundle of straight lines, circles and planes. Conic sections, their polar equations. General equations of quadratic curves. Simplifying the general equation of a quadratic curve by translation or rotation of the frame. Invariants of quadratic curves. Conjugate diameters and directions, asymptotic directions and main directions of quadratic curves. Tangents of quadratic curves. Simplification of general equations of quadratic curves by the eigenvalue problem.

Learning outcomes in the course

Upon completing the course the student:
- knows main concepts connected with quadratic curves;
- is able to use these concepts in order to simplify the general equation of a quadratic curve.

Teacher

prof Mart Abel

Prerequisite course 1

Analytic Geometry I (MLM6524.DT)

The course is a prerequisite

Study programmes containing that course

Mathematics, Mathematical Economics and Data Analysis (MLMB/23.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/22.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/21.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/20.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/19.DT)
Mathematics, Mathematical Economics and Data Analysis (MLMB/18.DT)