MATH5011 - Real Analysis I - 2021/22

Course Name: 
Course Year: 


  • Here is the course outline of Math5011 [Download file]
  • Please upload the complete assignment (in PDF file) to Blackboard CUHK
  • The teaching venue of Math 5011 has been changed to LSB, Room 222.

General Information


  • Prof. De-Jun Feng
    • Office: LSB 211
    • Tel: 39437965
    • Email:

Teaching Assistant

  • Mr. Tian-Han Yi
    • Office: LSB G08
    • Tel: 3943 7954
    • Email:
    • Office Hours: Thursday, 9am–11am

Time and Venue

  • Lecture: Fri 9:30AM - 12:15PM, LSB, Room 222

Course Description

Abstract integration theory; outer measures and Caratheodory's construction, Borel, Radon and Hausdorff measures; positive linear functionals and Riesz representation theorem; Lp-spaces and their functional properties; and signed measures, Radon-Nikodym theorem and the dual of the space of continuous functions.


  • Real and Complex Analysis, 3rd ed. W. Rudin, McGraw-Hill, 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, Springer-Verlag, New York 1975.

Lecture Notes



Assessment Scheme

Assignments 10%
Mid-term Exam 45%
Final Exam 45%

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Assessment Policy

Last updated: December 03, 2021 00:46:12