Functions of Real Variables 2 (62052/72052)

02:15pm-3:30pm Monday, Wednesday in room 376 MSB.

Syllabus.

Also note:

Section Start Date 01/13/25; Section End Date 05/04/25; Last Day to Add 01/19/25; Last Day to Drop 01/26/25; Last Day to Withdraw 03/30/25;

Instructor(S):
Book:
Office hours:
Office:
Office tel.:
E-mail:
WWW of the course :
Artem Zvavitch and Peter Gordon
"Real Analysis: Measure Theory, Integration, and Hilbert Spaces" by E. M. Stein, R. Shakarchi.
3:30-5:00 MW, but the best is to e-mail me and to make an appointment.
364
(330)-672-33-16
azvavitc@kent.edu
http://www.math.kent.edu/~zvavitch/RV2025.html

Please, note the calendar below is just a plan. Homework and Exams dates may be adjusted during the semester!

Date
Lecture Topic
Special Remarks
Monday (01/13/25)
Functions of Bounded Variation (review)
Wednesday (01/15/25)
Functions of Bounded Variation (review) First Homework.
Monday (01/20/25)
Martin Luther King Jr Day (NO CLASS)
Wednesday (01/22/25)
Functions of Bounded Variation (review)
Monday (01/27/25)
Absolutely Continuous Functions
Wednesday (01/29/25)
Vitali's lemmmas
Monday (02/03/25)
Absolutely Continues Functions and Integral. First HW is due. Second Homework.
Wednesday (02/05/25)
Let's jump!
SPCIAL DAY: Friday (02/7/25)
Let's jump! and measure the length of a curve.
Monday (02/10/25)
NO CLASS
Wednesday (02/12/25)
Let's measure the length of a curve. HW 2 due.
Monday (02/17/25)
NO CLASS
Wednesday (02/19/25)
Welcome to $L_2$!
SPECIAL DAY: Friday (02/21/25)
Yet another Vitali covering
Monday (02/24/24)
Hilbert Space Homework Three.
Wednesday (02/26/25)
Hilbert Space and bits of Geometry
SPECIAL DAY: Friday (02/28/25)
Pre-Hilbert Space
Monday (03/03/25)
Fourier Series, Orthogonality HW 3 is due.
Wednesday (03/05/25)
Orthogonality and Projections
Monday (03/10/25)
NO CLASS, SPRING BREAK
Wednesday (03/12/25)
NO CLASS, SPRING BREAK
Monday (03/17/24)
Linear Transformations Homework 4 and 5.
Wednesday (03/19/25)
Linear Transformations and Riesz
Monday (03/24/25)
NO CLASS
Wednesday (03/26/25)
NO CLASS
Monday (03/31/25)
Linear transformations
Wednesday (04/02/25)
Compact operator HW 4 and 5 due.
Monday (04/07/25)
Compact operator
Wednesday (04/9/25)
Compact operator
Monday (04/14/25)
Abstract Measure Homework 6.
Wednesday (04/16/25)
Abstract Measure
Monday (04/21/25)
HW 6 is due.
Wednesday (04/23/25)
Integration and Product Measure
Monday (04/28/25)
Fubini and Polar Coordinates
Wednesday (04/30/25)
Polar Coordinates and Jacobian
SPECIAL DAY: Friday (05/2/25)
SPECIAL DAY: Thursday (05/8/25)
TIME 12:45-3 pm

TO ARTEM ZVAVITCH'S HOMEPAGE