Course abstract
This course covers measure and integration. We start with abstract measures and their integration theory. Next, we construct the Lebesgue measure and follow it with a detailed study of Borel measures on locally compact Hausdorff spaces. Lp spaces and product measures along with Fubini’s theorem is taken up next. We finish with several classical reasul, Radon-Nikodym theorem, Ries representation theorem and Lebesgue differentiation theorem.
Course Instructor
Prof. E. K. Narayanan
I am a professor at the Department of Mathematics, Indian Institute of Science, Bangalore. My primary research area is harmonic analysis.More info
Teaching Assistant(s)
Course Duration : Jan-Apr 2020
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Enrollment : 18-Nov-2019 to 03-Feb-2020
Exam registration : 16-Dec-2019 to 20-Mar-2020
Exam Date : 25-Apr-2020
Enrolled
919
Registered
12
Certificate Eligible
9
Certified Category Count
Gold
1
Silver
0
Elite
2
Successfully completed
6
Participation
0
Success
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Category : Successfully Completed
Elite
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Category : Elite
Silver
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Category : Silver
Gold
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Category : Gold
Legend
AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75 AND FINAL SCORE >=40BASED ON THE FINAL SCORE, Certificate criteria will be as below:
>=90 - Elite + Gold
75-89 -Elite + Silver
>=60 - Elite
40-59 - Successfully Completed
Final Score Calculation Logic
- Assignment Score = Average of best 8 out of 12 assignments.
- Final Score(Score on Certificate)= 75% of Exam Score + 25% of Assignment Score
Measure Theory - Toppers list
Enrollment Statistics
Total Enrollment: 919
Registration Statistics
Total Registration : 36
Assignment Statistics
Assignment
Exam score
Final score
Exam score
Final score