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# Spring 2019

Welcome to MA8105 !

• What is this course about?
• Mathematical methods and structures that are fundamental for the study of partial differential equations (PDEs), variational calculus, numerical methods etc.
• Main focus on analytical tools: Functional analysis, $L^p$ and Sobolov spaces, compactness, modes of convergence, distributions, error estimates.
• 1-3 weeks on applications to linear and nonlinear PDEs.
• Who can take this course?
• Interested students at Master or PhD level.
• The level should be suitable for good 4th year students in the industrial mathematics program.
• It can be taken as a regular course or a 'fordypningsemne'.
• Very relevant for students specialising in PDEs, optimization, analysis, numerical analysis, or probability.
• Prerequisites:
• Elementary functional analysis, equivalent to TMA4145 Linear Methods.
• Some real analysis (Lebesgue integration theory).
• It is advantageous, but not necessary, to have some background in partial differential equations.