Course title in Estonian
Geomeetria tasandil ja ruumis
Course title in English
Geometry on the plane and in the space
approximate amount of contact lessons
lecturer of 2019/2020 Autumn semester
õppejõud on määramata
lecturer of 2019/2020 Spring semester
lecturer not assigned
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.
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.
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”.
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.
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.
Shafarevich, I., Remizov, O. (2013). Linear algebra and geometry. Springer, Berlin, Heidelberg.
Stein, S. H. (1987). Calculus and analytical geometry. McGraw-Hill, New York.