Calculus

Course code

MLM6201.DT

old course code

MLM6201

Course title in Estonian

Kõrgem matemaatika

Course title in English

Calculus

ECTS credits

4.0

Assessment form

Examination

lecturer of 2023/2024 Spring semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

lecturer of 2024/2025 Autumn 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.

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

Teacher

dots Mati Väljas, vanemtead M. Zeltser

The course is a prerequisite

Study programmes containing that course

Applied Computer Science (HKIFR/11.HK)

Applied Computer Science (HKIFR/10.HK)

Mathematics, Mathematical Economics and Data Analysis (MLMB/10.DT)

Biology (with Minor Field of Study) (MLBB/09.LT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/09.DT)

Computer Science (IFIFB/09.DT)

Physics (with Minor Field of Study) (MLFB/09.LT)

Applied Computer Science (HKIFR/09.HK)

Geoecology (with Minor Field of Study) (MLGB/09.LT)

Computer Science (IFIFB/08.DT)

Environmental Management (MLKSB/08.LT)

Physics (with Minor Field of Study) (MLFB/08.LT)

Applied Computer Science (HKIFR/08.HK)

Mathematics, Mathematical Economics and Data Analysis (MLMB/08.DT)

Geoecology (with Minor Field of Study) (MLGB/08.LT)

Biology (with Minor Field of Study) (MLBB/08.LT)

Applied Computer Science (HKIFR/07.HK)

Computer Science (IFIFB/00.DT)

Applied Computer Science (HKIFR/10.HK)

Mathematics, Mathematical Economics and Data Analysis (MLMB/10.DT)

Biology (with Minor Field of Study) (MLBB/09.LT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/09.DT)

Computer Science (IFIFB/09.DT)

Physics (with Minor Field of Study) (MLFB/09.LT)

Applied Computer Science (HKIFR/09.HK)

Geoecology (with Minor Field of Study) (MLGB/09.LT)

Computer Science (IFIFB/08.DT)

Environmental Management (MLKSB/08.LT)

Physics (with Minor Field of Study) (MLFB/08.LT)

Applied Computer Science (HKIFR/08.HK)

Mathematics, Mathematical Economics and Data Analysis (MLMB/08.DT)

Geoecology (with Minor Field of Study) (MLGB/08.LT)

Biology (with Minor Field of Study) (MLBB/08.LT)

Applied Computer Science (HKIFR/07.HK)

Computer Science (IFIFB/00.DT)