MAT6 - Spring 2013

Integration and Fourier Theory

Introduction

Here you may find an introduction to the course.

Here you may find a short description of the exam procedure.

Day	Lecture	Subject
Mon 4/02	1	Point-set topology, measurability (1)
Fre 8/02	2	Point-set topology, measurability (2)
Man 11/02	3	Point-set topology, measurability (3)
Fre 15/02	4	Lebesgue's monotone convergence theorem (1)
Man 18/02	5	Lebesgue's monotone convergence theorem (2)
Fre 22/02	6	Lebesgue's dominated convergence theorem (1)
Man 25/02	7	Lebesgue's dominated convergence theorem (2)
Fre 1/03	8	Riesz' Representation Theorem
Man 4/03	9	Construction of the Lebesgue measure
Fre 8/03	10	Repetition: measurable sets and positive measures
Fre 15/03	11	Holder's and Minkowski's inequality
Man 18/03	12	L^p spaces
Fri 22/03	13	Orthonormal systems
Mon 25/03	14	Trigonometric series
Fre 5/04	15	Repetition
Fre 12/04	16	Fubini's Theorem (1)
Man 15/04	17	Fubini's Theorem (2)
Fre 19/04	18	Fubini's Theorem and convolutions
Man 22/04	19	Repetition: L^p spaces and trigonometric series
Man 29/04	20	The Fourier Transform (1)
Fre 3/05	21	The Fourier Transform (2)
Man 6/05	22	The Fourier Transform (3)
Fri 10/05	23	Exam preparation (1)
Man 13/05	24	Exam preparation (2)
Fre 17/05	25	Exam preparation (3)

The plan will no longer be updated.

Opdateret d.16/05/2013 af