Course title in Estonian
Sissejuhatus analüütilisse geomeetriasse
Course title in English
Introduction to Analytic Geometry
approximate amount of contact lessons
lecturer of 2019/2020 Autumn semester
õppejõud on määramata
lecturer of 2019/2020 Spring semester
lecturer not assigned
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.
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.
1. Mati Väljas „Analüütiline geomeetria“, TTÜ, Tallinn, 2012.
2. Õppematerjalid aadressilt www.tlu.ee/~tonu/AGI