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.
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”.
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.
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.
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.