Course title in Estonian
Kõrgem matemaatika: lineaaralgebra ja analüütiline geomeetria
Course title in English
Linear Algebra and Analytic Geometry
approximate amount of contact lessons
lecturer of 2019/2020 Spring semester
õppejõud on määramata
lecturer of 2020/2021 Autumn semester
lecturer not assigned
General subject. To provide an overview of the main concepts of algebra, geometry and differential equations and their applications. Use of main methods of algebra, geometry and differential equations.
Brief description of the course
Determinants, matrices and linear systems of equations. Vectors. Linear operations with vectors. Scalar, vector and mixed product of vectors. The main problems in plane geometry. Equations of lines and circles in a plane. Polar co-ordinates. The main problems in space geometry. Lines and planes in space, and their equations. Quadratic curves: ellipse, hyperbola, and parabola. Applications. Differential equations, numerical methods for initial value problems. Harmonic oscillators. Second-order linear equations with constant coefficients.
Learning outcomes in the course
Knows mathematical facts and is able to use methods in volume of a subject.
Homework and two class-tests. The exam contains two theoretical questions and one practical one.
The course is a prerequisite
Batschelet, E. 1979 Introduction to Mathematics for Life Scientists. Springer-Verlag, Berlin;
Kolde, R. 1991 Koonuselõiked. Valgus, Tallinn;
Paal, E. 2000 Lineaaralgebra elemente. TTÜ,Tallinn;
Болтянский, В. Г. Элементарная геометрия.