Mathematics G3

Budapest University of Technology and Economics
LEVEL
Bachelor
TYPE
Course
MODES
-
LANGUAGE
-
ECTS
4
PERIOD
04/09/2023 to 22/01/2024

Course Description

Derivation of vector functions; gradient, rotation, divergence, Laplace operator, and related identities. Potential fields, concept of curve, arc length, integral of curve. Concept of surface, Surface and surface integral, two dimensional Stokes theorem. Concept of space, volume, volume integral. Integral-integral conversion theorems, Gauss-Ostrogradsky formula, Green’s formulae with applications. Concept of ordinary differential equation, examples, test of solvability. Classification of important types of equations, explicit solution methods. Solving equations by series, regular, singular points, Laplace transformation. Linear differential equations, systems of equations, stability analysis.

Subject area

Mathematics

Time format

weekly

Educational-info

Duration

42 h / 14 weeks

ECTS

4

Validation mode

Continuous control

Maximum number of students

5

Organizer

Partner

Budapest University of Technology and Economics

Faculty

Faculty of Natural Sciences

Department

Department of Differencial Equations

Contact or registration links