Introduction to Vector Field Theory
Course code
MLM7218.DT
old course code
MLM7218
Course title in Estonian
Väljateooria elemendid
Course title in English
Introduction to Vector Field Theory
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
To systematize the previous knowledge of calculus and analytic geometry (scalar and vector concepts, transition from one coordinate system to another, Gauss-Ostrogradski and Stokes theorems etc.) to obtain new knowledge (concepts of the vector field and of tensor, the work with indexes, curvilinear coordinates, differential operators rot, div and grad; etc.), solving of simple applied problems (in electrodynamics and theoretical mechanics)
Brief description of the course
Vectors and vector field. Tensors. Differential operators. Gradient, divergence, rotor. Flow of a vector field. Circulation. Curvilinear coordinates. Line and surface integrals. Gauss- Ostrogradski and Stokes' theorems.
Learning outcomes in the course
Upon completing the course the student:
Knows mathematical truths and is able to use methods in volume of a subject, is able to prove and apply them. Is able to solve simple application tasks.
Knows mathematical truths and is able to use methods in volume of a subject, is able to prove and apply them. Is able to solve simple application tasks.
Teacher
vanemteadur Maria Zeltser
Study programmes containing that course