Introduction to Analytic Geometry

Course code

MLM6183.DT

old course code

Course title in Estonian

Sissejuhatus analüütilisse geomeetriasse

Course title in English

Introduction to Analytic Geometry

ECTS credits

4.0

approximate amount of contact lessons

32

Teaching semester

autumn

Assessment form

Examination

lecturer of 2019/2020 Spring semester

õppejõud on määramata

lecturer of 2020/2021 Autumn semester

lecturer not assigned

Course aims

The aim of the course is to provide a concise overview of vectors, their standard basis, equations of lines and planes and the relations between them.

Brief description of the course

Bound vector and free vector. Linear transformations of vectors. Scalar product, vector product and triple product. Equation of a straight line on a plane. Transformation of the equation from one form to another. Main tasks of analytic geometry on plane. Equations of lines and planes in space. Relative positions of lines and planes. Polar coordinates.

Independent work

Elaborating the lectures and the study literature, solving problems. Solving home assignments and writing them in proper format.

Learning outcomes in the course

After passing this course, the student:

Is able to solve planimetry and stereometry problems using the vectors and compute scalar, vector and mixed product of vectors. Knows different forms of equation of a line on a plane.

Knows equations of lines and planes in space. Is able to solve analytic geometry problems, involving points, lines and planes on a plane as well as in space. Knows both Cartesian and polar coordinate systems and is able to convert between Cartesian and polar coordinates.

Is able to solve planimetry and stereometry problems using the vectors and compute scalar, vector and mixed product of vectors. Knows different forms of equation of a line on a plane.

Knows equations of lines and planes in space. Is able to solve analytic geometry problems, involving points, lines and planes on a plane as well as in space. Knows both Cartesian and polar coordinate systems and is able to convert between Cartesian and polar coordinates.

Assessment methods

Written exam

Teacher

lekt Tõnu Tõnso

Study literature

1. Mati Väljas „Analüütiline geomeetria“, TTÜ, Tallinn, 2012.

2. Õppematerjalid aadressilt www.tlu.ee/~tonu/AGI

2. Õppematerjalid aadressilt www.tlu.ee/~tonu/AGI