General Information:
For a description of the course, including the grading policy, consult the course syllabus. Students are responsible for reading the syllabus and being aware of all the course and university policies.

Textbook: There will be no required textbook. See the course syllabus for a list of suggested references.

Classes meets on TR, 11:00am–12:15pm, at Stevenson Center 1313.

This course is a continuation of MATH 6100.

Contact Information and Office Hours:
Instructor's office: SC 1515.
Instructor's email: marcelo.disconzi@vanderbilt.edu.
Instructor's office hours: Thursdays, 1-4pm, or by appointment.
Instructor's office phone: 322-7147.

General Math Office: SC 1326, phone: 322-6672.

Exams.

Description	Date	Location and Time	Remarks
Test 1	March 3	In class
Final Exam		TBA

Schedule:
Below is a schedule for the course (for the academic calendar, click here). This will be updated regularly and, therefore, students should check this webpage frequently. The due date for each assignment will be posted as the course progresses.

Date	Material covered	HW problems and assignments	Remarks
Jan 12	Mesurability
Jan 14	Local properties of measurable functions
Jan 19	Egoroff's theorem
Jan 21	Measurability and integrability	HW1 Solutions	HW1 due on Feb 2n.
Jan 26	Essentially bounded functions
Jan 28	Locally integrable functions
Feb 2	Product of a measure and a locally integrable function	HW2: open-ended HW, as discussed in class. Solutions.	HW2 due on Feb 18
Feb 4	No class
Feb 9	Radon-Nikodym
Feb 11	Densities and absolute continuity
Feb 16	Duality
Feb 19	Decomposition of measures	HW3 Solutions	HW3 due on March 3
Feb 23	Fubini
Feb 25	Other types of convergence
March 1	Non-mesurability
March 3	Test		Solutions
March 15	Differentiability	HW4 Solutions	HW4 due on April 12
March 17	Change of variables
March 24	Duals and Hahn-Banach
March 29	Baire category and its consequences
March 31	Weak topologies
April 5	Hilbert spaces
April 7	Hilbert spaces Abstract measures
April 12	Hausdorff measures
April 12	Integration of abstract measures		Make-up class
April 14	More on integration Examples and counter-examples involving Hausdorff measures
April 14	Rademacher's theorem Area and co-area formulas		Make-up class
April 19	Convolution
April 21	Smoothing		List of practice questions

Anonymous feedback:
Students are encouraged to bring suggestions and to discuss with the course instructor any concerns they may have, including something they think is not being properly handled in the course. But if you do not feel comfortable doing that, here you have the opportunity to send some anonymous feedback.