MATH5011  Real Analysis I  2023/24
Announcement
 Here is the course outline [Download file]
General Information
Lecturer

Prof. DeJun FENG
 Office: LSB, R211
 Tel: 39437965
 Email:
Teaching Assistant

Mr. Tianhan Yi
 Office: LSB 232
 Tel: 39435294
 Email:
Course Description
Abstract integration theory; outer measures and Caratheodory's construction, Borel, Radon and Hausdorff measures; positive linear functionals and Riesz representation theorem; Lpspaces and their functional properties; and signed measures, RadonNikodym theorem and the dual of the space of continuous functions.
References
 Real and Complex Analysis, 3rd ed. W. Rudin, McGrawHill, New York 1966.
 Measure Theory and Fine Properties of Functions, L.C. Evans and R.F. Gariepy, CRC Press 1992.
 Real Analysis: Measure Theory, Integration and Hilbert Spaces, E.M. Stein and R. Shakarchi, Princeton Lectures in Analysis, Princeton 2005.
 Real and Abstract Analysis, E. Hewitt and K. Stromberg, Graduate Texts in Mathematics, SpringerVerlag, New York 1975.
Lecture Notes
 Lecture notes (Chap 1)
 Lecture notes (Chap 2)
 Lecture notes (Chap 3)
 Lecture notes (Chap 4)
 Lecture notes (Chap 5)
Assignments
 Homework 1 (Due date: Sep 17, 2023)
 Homework 2 (Due date: Sep 22, 2023)
 Homework 3 (Due date: Sep30, 2023)
 Homework 4 (Due date: Oct 7, 2023)
 Homework 5 (Due date: Oct 14, 2023)
 Homework 6 (Due date: Nov 10, 2023)
 Homework 7 (Due date: Nov 17, 2023)
 Homework 8 (Due date: Nov 25, 2023)
 Homework 9 (Due date: Dec 1, 2023)
 Homework 10 (Due date: Dec 7, 2023)
Solutions
 Homework 1 Sol
 Homework 2 Sol
 Homework 3 Sol
 Homework 4 Sol
 Homework 5 Sol
 Midterm Sol
 Homework 6 Sol
 Homework 7 Sol
 Homework 8 Sol
 Homework 9 Sol
 Homework 10 Sol
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http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: December 06, 2023 12:18:57