lecturer of 2024/2025 Autumn semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
lecturer of 2024/2025 Spring semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
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.
Learning outcomes in the course
Upon completing the course the student:
- knows mathematical facts and is able to use methods in volume of a subject.