After successful completion of the course, students are able to calculate the length of a curve and the area of a surface in the three-dimensional space.  They shall be in a position to apply the integral theorems and to solve the Poisson equation, the variational problems with and without constraints. Moreover, they shall be able to approximate solutions to the heat and wave equations using the Fourier series method. 

1. Curves and surfaces, surface area, surface integrals 2. Integral theorems 3. Poisson equation, boundary value problems, Green's function 4. Heat equation, energy and variational methods 5. Fourier Transform

Lecture and tutorials. 

Begin and introduction: Friday, March 1st in the first lecture, at 11.00 am in FH HS5. More details follow here. 

2 Tests: During the semester, there will be two tests with 3 assignments each. Each assignment is worth 6 points. This means that 36 is the maximal number of points out of both tests. To complete the lecture with a positive mark, 18 points are necessary. The marks are organized as follows: < 18:5, >=18:4, >= 22:3,>= 27:2, >= 32:1. An addition test replaces the result of the worse of the two regular tests. 

Register in the group.

Lecture notes for this course are available. Already now, you can buy the notes with Facultas. For details see above.