Linear Algebra and Analytic Geometry

Course code

MLM6222.DT

old course code

MLM6222

Course title in Estonian

Kõrgem matemaatika: lineaaralgebra ja analüütiline geomeetria

Course title in English

Linear Algebra and Analytic Geometry

ECTS credits

4.0

approximate amount of contact lessons

52

Teaching semester

autumn

Assessment form

Examination

lecturer of 2020/2021 Autumn semester

õppejõud on määramata

lecturer of 2020/2021 Spring semester

lecturer not assigned

Course aims

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.

Independent work

Home assignments

Learning outcomes in the course

Knows mathematical facts and is able to use methods in volume of a subject.

Assessment methods

Homework and two class-tests. The exam contains two theoretical questions and one practical one.

Teacher

lektor Tõnu Tõnso

The course is a prerequisite

Replacement literature

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.

Kolde, R. 1991 Koonuselõiked. Valgus, Tallinn;

Paal, E. 2000 Lineaaralgebra elemente. TTÜ,Tallinn;

Болтянский, В. Г. Элементарная геометрия.