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Survey for TMA4170
Dear students in TMA4170 spring 2013,
The aim of this survey is for me to get some a priori knowledge about your mathematical background and your interests for me to better select the topics for the course.
Best,
Yan
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I am from the department of
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Mathematics
Other
I have taken a course about or have learnt by myself
Complex analysis
Functional analysis/linear method
Real analysis/Lebesgue integral
Abstract algebra, groups, rings,...
Partial differential equations
Probability theory
I know the following about integration theory
What is a Riemann integrable function
What is Lebesgue integral
What is the L^p spaces
Dominated convergence theorem
Fubini theorem
I know the following about functional analysis
Hilbert space
The L^2 space is a Hilbert space
Vector spaces and inner product
The notion of norms
What is a complete normed/inner product vector space
Clear selection
I already know the following about Fourier analysis
What is Fourier series
What is Fourier transform
Relationship of Fourier series and heat equation
Fejer theorem, Fejer kernel
Clear selection
I know the following about complex analysis
What is an analytic/holomorphic function
Cauchy integral formula
Residue theorem and how to calculate integrals with residue theorem
Liouvelle theorem
Clear selection
I want to learn ________ from this course.
Your answer
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