Math 524: Real Analysis I

Winter 2020

Instructor: Zhen-Qing Chen

Phone: (206) 543-1907 (Office)
Fax: (206) 543-0397
Office: Padelford Hall, Room C-341
Email: zqchen@uw.edu
Office hours: Wednesdays 2:30-3:20 pm. and Fridays 1:30-2:20 pm. at Padelford C-341.

Lectures: MWF: 11:30 am.-12:20 pm., ECE 042.

Teaching Assistant: Joonyong Choi, Email: jyc27@uw.edu

Office hours: Tuesdays 10:30 - 11:20am, and Thursdays 3 - 3:50 pm. at PDL C-111.

Textbook: Gerald B. Folland, Real Analysis, Second Edition. John Wiley & Sons, 1999. (required)

Reference Books: E. M. Stein and R. Shakarchi, Real Analysis: measure theory, integration, & Hilbert spaces. Princeton Univ. Press, 2005.

H. L. Royden, Real Analysis, 3rd Edition.

Course Description

This is the first part of a two-quarter course on real analysis. This sequential course will cover the fundamental tools needed to work in the general field of analysis. It will cover the following topics:

  • Lebesgue measure and abstract measure (Chapter 1 of [F])
  • Integration (includes convergence theorems). (Chapter 2 of [F])
  • Differentiation (includes BV functions, absolutely continuous functions, fundamental theorem of calculus, Radon-Nikodym). (Chapter 3 of [F])

    Prerequisite: Undergraduate Real Analysis: Math 424-5-6 or its equivalent.

    Here is the Course Syllabus .

    Recommended preparation

    Read the textbook and the reference book before and after each lecture.

    Homework Assignments