MATH 564, Advanced Real Analysis, Fall 2016

Lecture Information:

  • Location:1214 Burnside Hall
  • MTR 10:35 AM - 11:25 AM
  • PDF of course outline
  • Special Notes:
  • Lectures will begin on Friday September 2 due to Labor day on September 5. There will be no class on September 5.
  • Instructor:
  • Jeff Galkowski
  • Office Hours: Mon, Tues 11:30 - 12:30, or by appointment
  • Email: jeffrey.galkowski@mcgill.ca
  • Prerequisites:
  • Math 354, 355 or equivalent
  • Syllabus:
  • Review of theory of measure and integration; product measures, Fubini’s Theorem; L^p spaces, basic principles of Banach spaces; Riesz Representation theorem for C(X); Hilbert spaces; further material as time permits.
  • Texts and References
  • Required: G. Folland. Real Analysis: Modern Techniques and Their Applications, 2nd Edition
  • Another Reference: W. Rudin, Real and Complex Analysis
  • My course notes
  • Notes on topology by Hatcher
  • Exams:
  • A midterm will be held on Tuesday October 18 from 6 PM - 9 PM in Burnside 1234. Midterm Exam Solution
  • The final will be held December 19 from 2 PM - 5 PM in Burnside 708. Final Exam Solution
  • Problem Sets: Homework will be assigned in class and will be due by 5 PM on the specified deadline
  • Problem Set 1: Due Thursday, September 15 Problem Set 1 Solution
  • Problem Set 2: Due Tuesday, September 27 Problem Set 2 Solution
  • Problem Set 3: Due Tuesday, October 11 Problem Set 3 Solution
  • Problem Set 4: Due Monday, October 31 Problem Set 4 Solution
  • Problem Set 5: Due Tuesday, November 8 Problem Set 5 Solution
  • Problem Set 6: Due Tuesday, November 15 Problem Set 6 Solution
  • Problem Set 7: Due Tuesday, November 22 Problem Set 7 Solution
  • Problem Set 8: Due Monday, December 5 Problem Set 8 Solution
  • Grading:
  • Your final mark will be the largest of the following: [ 20% Assignments + 30 % Midterm + 50% Final]; OR [20% Assignments + 80% Final].
  • In the event of extraordinary circumstances beyond the University’s control, the content and/or evaluation scheme in this course is subject to change.
  • MISC
  • HELPDESK and their email: helpdesk@math.mcgill.ca
  • NOTICE: McGill University values academic integrity. Therefore, all students must understand the meaning and consequences of cheating, plagiarism and other academic offences under the Code of Student Conduct and Disciplinary Procedures (see www.mcgill.ca/students/srr/honest/ for more information).
  • NOTICE: In accord with McGill University's Charter of Student Rights, students in this course have the right to submit in English or in French any work that is to be graded.
  • NOTICE: In the event of extraordinary circumstances beyond the University's control, the content and/or evaluation scheme in this course is subject to change.