After successful completion of the course, students are able to calculate the spectrum of operators in vector spaces, to explain and use the index notation, to calculate in higher dimensions and to categorize different solution paths for certain differential equations and to transfer these methods to examples.
1 Mathematical concepts: Tensors, metric, coordinate transformations 2 Partial Diffrenetial Equations 3 Solution methods for PDEs in Physics 4 Boundary and Eigenvalue-problems 5 Singular Differential equations 6 Special Functions 7 Generalized functions 8 Green-function techniques for solving inhomogenuous PDEs
There are two written examinations; together with the practice tests (grouping like practice tests); namely on
29.11.2019 14:00-16:00 FH HS5 FH HS6 HS 17 HS 18, and
17.01.2020 12:00-14:00 FH HS8 GM 2 HS 17.
Please register in advance for the course in TUWEL.
A maximum of 100 points can be achieved in each of these two tests.
Another "substitute test" will take place in the coming summer semester. The latter can be attended in order to improve a negative assessment (prerequisite: at least one positive test during the semester). The two best grades count.
Test dates:
Test 1 ("multiple choice"): the same date as the lecture exercises; see above; Content: unless otherwise stated in the lecture Linear algebra incl. tensors.
Test 2: the same date as the lecture exercises; see above; Content: if not otherwise stated in the lecture distributions, Green's functions until special functions of mathematical physics.
Replacement test:
Date to be announced. The next tentative date is May 8th, at 16:00, FH HS6, if this is possible.
The replacement test replaces the worst of the two previous tests. Participation only for candidates who have received a negative assessment on the LVA.
The subject area of the retest is the entire content of the LVA.
Grading scheme: Per test up to 100 "raw" points can be obtained.
The "standardisation" of these "raw" points T1 and T2 is carried out according to the following formula:
Normalized points = (T1 + T2 - 40) * 200 / 160
For a positive assessment, at least 21 standardised points must have been achieved per test.
A total of at least 71 standardized points must have been achieved in both tests.
71-100 standardized points: sufficient
101-130 standardized points: satisfactory
131-165 standardized points: good
166-200 standardized points: very good
