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This graduate-level course covers Lebesgue’s integration theory with applications to analysis, including an introduction to convolution and the Fourier transform. This course will focus on the abstract measure theory and the Lebesgue integral. We will begin by defining the Lebesgue integral, prove the main convergence theorems, and construct Lebesgue measure in Rn. Other topics include Lp- spaces, Fubini Theorem, and the Area and Coarea Formulas.

Assessment

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

Certification

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Course Credit: MIT

Course Curriculum

Module: 01
Measure and Integration lec1 00:05:00
Measure and Integration lec2 00:05:00
Measure and Integration lec3 00:05:00
Measure and Integration lec4 00:05:00
Measure and Integration lec5 00:10:00
Measure and Integration lec6 00:05:00
Module: 02
Measure and Integration lec7 00:05:00
Measure and Integration lec8 00:05:00
Measure and Integration lec9 00:05:00
Measure and Integration lec10 00:10:00
Measure and Integration lec11 00:05:00
Measure and Integration lec12 00:05:00
Module: 03
Measure and Integration lec13 00:05:00
Measure and Integration lec14 00:05:00
Measure and Integration lec15 00:10:00
Measure and Integration lec16 00:05:00
Measure and Integration lec17 00:05:00
Measure and Integration lec18 00:10:00
Module: 04
Measure and Integration lec19 00:05:00
Measure and Integration lec20 00:05:00
Measure and Integration lec21 00:05:00
Measure and Integration lec22 00:10:00
Measure and Integration lec23 00:10:00
Measure and Integration lec24 00:10:00
Assessment
Submit Your Assignment 00:00:00
Certification 00:00:00

Course Reviews

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