Course code

MLM6008.DT

old course code

Course title in Estonian

Diferentsiaalvõrrandid

Course title in English

Differential Equations

ECTS credits

6.0

Assessment form

Examination

lecturer of 2025/2026 Spring semester

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

lecturer of 2026/2027 Autumn semester

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

Course aims

The aim of the course is to provide basic knowledge of ordinary differential equations and their systems, and to develop skills in solving related problems. Applications of differential equations are also considered.

Brief description of the course

The concept of a differential equation, tasks leading to it. Equation with separable variables, Clairaut’s equation, exact equation, first-order linear equation. Structure and solution of higher-order linear differential equations. Systems of equations with constant linear coefficients. Cauchy problem. Nonlinear systems. Boundary value problem. Linear partial differential equation.

Learning outcomes in the course

Upon completing the course the student:
- defines the fundamental concepts and classifications of differential equations;
- formulates and explains the main methods for solving differential equations;
- solves first- and higher-order differential equations as well as systems of linear differential equations using analytical methods;
- applies theoretical knowledge of differential equations to solving applied problems in various fields (e.g., physics, biology, engineering).

Teacher

Maria Zeltser

Prerequisite course 1

Mathematical Analysis I (MLM6511.DT)

Prerequisite course 2

Mathematical Analysis II (MLM6512.DT)

The course is a prerequisite

Study programmes containing that course

Mathematics, Mathematical Economics and Data Analysis (MLMB/26.DT)