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
2 Tests: During the semester, there will be two tests with 3 assignments each. Each assignment is worth 6 pointsn. 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, cf. the homepage of the lecture.
An addition test at the beginning of the following term replaces the result of the worse of the two regular tests.
