# MATH 564, Advanced Real Analysis I, Fall 2009

** Course web page: **
http://www.math.mcgill.ca/jakobson/courses/math564.html

**Lectures:**

**Instructor:**
D. Jakobson

Office: BH1212, Office Hours: Monday, 10:30-11:30; Wednesday, 11:30-12:30;
or by appointment

Tel: 398-3828

E-mail: jakobson AT math.mcgill.ca

Web Page:
www.math.mcgill.ca/jakobson

** Prerequisite:** Math 354, 355 or equivalent

**Marker:**
Tayeb Aissiou

Email: aissiou@math.mcgill.ca

**Text**

**Handouts**

** 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.

**Tests**

**Grading**:

**WebCT:** Your scores on assignments, midterm, final, and your
final mark will be posted on
WebCT

**Supplemental:**
There will be a supplemental exam, counting for 100% of the
supplemental grade. No additional work will be accepted for D, F or J.

Homework will be assigned in class and will be
due by 5pm by the specified deadline.

### Assignments

**Course material from previous courses at McGill:**

**Web links in Analysis**

**
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 McGill web page
on Academic Integrity
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.