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  Autumn semester
õppejõud on määramata
lecturer of 2019/2020  Spring 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.
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