Departments' graduate courses
Course start and periodicity may vary. Please see details for each course for up-to-date information. The courses are managed and administered by the respective departments. For more information about the courses, how to sign up, and other practical issues, please contact the examiner or course contact to be found in the course information.
Theory of distributions
- Course code: FMVE365
- Course higher education credits: 7.5
- Department: MATHEMATICAL SCIENCES
- Graduate school: Mathematics
- Course start: 2017-03-20
- Course end: 2017-05-19
- Course is normally given: Period 4, odd-numbered years
- Language: The course will be given in English
In this course you will learn how to do the impossible, to differentiate non-differentiable functions. This is accomplished by introducing distributions, which are a much larger class of objects than functions. Distributions include all bounded functions, all distributions are differentiable, the normal differentiation rules hold and for differentiable functions, the distributional derivative is the same as the usual one. Distributions also provide a generalisation of the Fourier transform. The theory of distributions is of fundamental importance for modern analysis, especially in the theory of differential equations.
Hasse Carlsson, firstname.lastname@example.org