Geometry on the plane and in the space

Course code

MLM7302.DT

old course code

MLM7302

Course title in Estonian

Geomeetria tasandil ja ruumis

Course title in English

Geometry on the plane and in the space

ECTS credits

4.0

approximate amount of contact lessons

56

Teaching semester

autumn

Assessment form

Examination

lecturer of 2019/2020 Autumn semester

õppejõud on määramata

lecturer of 2019/2020 Spring semester

lecturer not assigned

Course aims

To facilitate understanding of the fundamental concepts of analytic geometry and interconnections thereof;

to introduce the proof methods and applications of analytic geometry;

to develop the skills in using the general methods of analytic geometry;

to facilitate the development of creative and critical thinking, problem solving, independence and collaborative skills.

to introduce the proof methods and applications of analytic geometry;

to develop the skills in using the general methods of analytic geometry;

to facilitate the development of creative and critical thinking, problem solving, independence and collaborative skills.

Brief description of the course

Bound vectors and free vectors, operations using these. Vector space. A base, reference line, coordinates of points and vectors. Conic sections. Polar equations of conics. General second-order linear equation. Simplification of a general equation via reference line offset and rotation. Second-order linear invariants. Related applications in various areas.

Independent work

a) revision of lecture materials and work with study literature;

b) solving exercises;

c) solving individual or group exercises given by the lecturer within the subject “Educational Technology III”.

b) solving exercises;

c) solving individual or group exercises given by the lecturer within the subject “Educational Technology III”.

Learning outcomes in the course

Having successfully passed the subject the student:

is familiar with the fundamental concepts of analytic geometry;

is able to explain the theorems addressed within the course;

is able to solve exercises in analytic geometry;

is able to draw parallels between the mathematical topics and those of physics and other natural sciences;

is able to present self-made speciality-related study materials using the e-portfolio.

is familiar with the fundamental concepts of analytic geometry;

is able to explain the theorems addressed within the course;

is able to solve exercises in analytic geometry;

is able to draw parallels between the mathematical topics and those of physics and other natural sciences;

is able to present self-made speciality-related study materials using the e-portfolio.

Assessment methods

Written examination

Teacher

prof Mart Abel

Study literature

Väljas, M.. (2012). Analüütiline geomeetria. Tallinn: TTÜ.

Kolde, R. (1991). Koonuselõiked. Tallinn: Valgus.

Lumiste, Ü., Ariva, K. (1973). Analüütiline geomeetria. Tallinn: Valgus.

Bazõlev, V., Dunitsev, K. (1974). Geometria I (vene keeles). Moskva: Prosveštšenie.

Kolde, R. (1991). Koonuselõiked. Tallinn: Valgus.

Lumiste, Ü., Ariva, K. (1973). Analüütiline geomeetria. Tallinn: Valgus.

Bazõlev, V., Dunitsev, K. (1974). Geometria I (vene keeles). Moskva: Prosveštšenie.

Replacement literature

Shafarevich, I., Remizov, O. (2013). Linear algebra and geometry. Springer, Berlin, Heidelberg.

Stein, S. H. (1987). Calculus and analytical geometry. McGraw-Hill, New York.

Stein, S. H. (1987). Calculus and analytical geometry. McGraw-Hill, New York.