# MATH 355: Honors Analysis 4

## Winter 2011

** Course web page: **
http://www.math.mcgill.ca/jakobson/courses/math355.html

**Lectures:**

**Instructor:**
D. Jakobson

Office: BH1220, Office Hours: Wednesday, 10:30-11:30 and 12:30-13:00,
or by appointment

Tel: 398-3828

E-mail: jakobson AT math.mcgill.ca

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

**Markers:**
TBA

**Prerequisites:**
Math 354 or equivalent

**Text: ** Elements of the Theory of Functions and
Functional Analysis, by A. Kolmogorov and S. Fomin,
Dover Publications.

**Syllabus:**
Lebesque measure, integration and Fubini's theorem. Abstract measure
and integration. Convergence theorems. Introduction to Hilbert spaces.
L_2 spaces, Fourier series. Fourier integrals (if time permits).

** Assignments**: There will be be several assignments.
Due dates will be announced in class and on the course web page.
Late assignments will not be accepted, except in cases of emergency.
Depending on availability of TA and other factors, some problems may
not be marked.

** Midterm**

**Final:**

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

** Handouts**:

**Grading**:
Your final mark will be the largest
of the following: [20% Assignments + 30% Midterm + 50% Final]; OR
[20% Assignments + 80% Final].

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

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

** Conferences etc**

**Web links in Analysis**
**
HELPDESK** and their email:
helpdesk@math.mcgill.ca

WEB LINKS in Calculus, Algebra,
Geometry and Differential Equations.

**NOTICE:**
In accord with McGill University's Charter of Students' Rights,
students in this course have the right to submit in English or in
French any written work that is to be graded.

**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).