TLÜ ÕIS

Analytical Geometry

Course code

MLM6204.DT

old course code

MLM6204

Course title in Estonian

Analüütiline geomeetria

Course title in English

Analytical Geometry

ECTS credits

4.0

Assessment form

Examination

lecturer of 2023/2024 Spring semester

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

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 goal of the subject is to provide an overview of spaces used in geometry. The use of various methods of analytic geometry. The mathematical theory of quadratic curves.

Brief description of the course

Concepts of affine space and Euclidean space. The main problems of analytic geometry. The concepts of pencil and bundle of lines, circles, and planes, applications. Conic sections. Polar equations of conic sections. General equations of second order curves. The simplification of general equations with shift of frame and rotation of frame. Invariance of second order curves. Conjugate diameters and directions, asymptotic directions and main directions of second order curves. Tangents of second order curves. The simplification of general equations of second order curves and the eigenvalue problem.

Learning outcomes in the course

Upon completing the course the student:
- knows main notions of analytical geometry;
- is familiar with the main properties, relations and teorems taught in this course;
- is able to solve standard exercises and problems of analytical geometry.

Teacher

lekt Tõnu Tõnso

Prerequisite course 1

Algebra and Geometry (MLM6402.DT)

The course is a prerequisite

Foundations of Geometry (MLM6223.DT)
Seminar in Algebra/ Geometry and its Applications (MLM6249.DT)
Seminar in Algebra/ Geometry and its Applications I (MLM6251.DT)
Work Placement in Mathematics II (MLM6405.DT)

Study programmes containing that course