# MATH 454: Honors Analysis 3

## Fall 2018

** Course web page: **
http://www.math.mcgill.ca/jakobson/courses/math454.html

**Lectures:**

**Instructor:**
D. Jakobson

Office: BH1220

Office Hours: Monday, Wednesday, 9:30-10:30

Tel: 398-3828

E-mail: dmitry.jakobson AT mcgill.ca

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

**Markers:**

** Decription of
BSc-MSc program**

**Prerequisites:**
Math 255 or equivalent

**Texts: **

**Syllabus:**
Review of point-set topology: topological space, dense sets, completeness, compactness, connectedness and
path-connectedness, separability. Arzela-Ascoli, Stone-Weierstrass, Baire category theorems. Measure theory:
sigma algebras, Lebesgue measure and integration, L^1 functions. Fatou's lemma, monotone and dominated convergence
theorem. Egorov, Lusin's theorems. Fubini-Tonelli theorem.

** 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.

** Handouts (for previous years/different classes!)**:

**Midterm:**

**Final:**

**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:**

**Web links in Geometry and Topology**

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

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

**
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