Class times
We
will meet MWF 10:00-11:00am in S 115.
You
should have a scanner or certain smartphone apps that allow
you to scan your handwritten homework into a pdf file.
Alternatively, certain tablets and tablet apps allow you
submit your written work directly from the tablet.
Recordings of class
Contact
Email: anna@math.uh.edu
Please include "MATH 6321" in the subject, so that your email won't be regarded as spam. For security reasons I will reply only to emails sent from official UH emails (i.e. ending in "uh.edu").
When writing an email, make sure it adheres to the protocol of formality, which is standard in academia. Read more about it here, for example.
Normally, I answer urgent emails within one-two business days. Generally, I do not repeat information that can be found on this website or was communicated in class. If I do not respond to your email within two working days, please resend the email. If you again do not hear from me within one more working day, it is likely that your email is not coming through and you should speak with me before or after class. It is your responsibility to ensure that I am aware of issues you may have with the course; failure to effectively initiate timely communication is not a valid basis for a grade grievance and cannot be used as such.
Bring comments or complaints to my attention as soon as possible. Don't wait until the end of the semester to bring up a matter which we could deal with and solve early on.
UH Email
Email
communications related to this course will be sent to your Exchange email account which each
University of Houston student receives. The Exchange mail
server can be accessed via Outlook, which provides a single
location for organizing and managing day-to-day information,
from email and calendars to contacts and task lists.
Exchange email accounts can be accessed by logging into
Office 365 with your Cougarnet credentials or through
Acccess UH. They can also be configured on IOS
and Android
mobile devices. Additional assistance can be found at the Get
Help page.
UH policy states that all required written notices shall be addressed to the student via their UH email. Notices properly addressed and so sent shall be presumed to have been received by the student. Thus, you are responsible for the content in emails sent to your UH account, regardless if your external (non-UH) email provider filters or blocks. Emails lost to external providers shall not be used as a justification to claim faculty are unresponsive, to appeal grades, etc.
Office Hours
Office
hours will be done through Microsoft Teams on Wednesdays
11:15-12:15pm or by appointment. You are welcome and
encouraged to make an appointment if you have any questions
about material or issues that you would like to discuss.
Please contact me by email to setup the meeting or let me
know after the class. If Wednesdays 11:15am-12:15pm doesn't
work for you, contact me at least two business days in
advance to setup a different time.
We
will be using the following books:
Topics
we cover each class are indicated in the calendar below. Here
are some tips on how to read your textbook
efficiently.
Quiz
will be held every couple of weeks, see calendar below.
Changes can occur with an advance notice (at least 2 days).
Most of the quizzes will consists of one/two problems not
previously discussed in class, and will be 10-15 min long
held during the class. One lowest grade will be dropped to
accommodate any unforeseen life circumstances forcing you to
miss the quiz. Excused absence of the second missed quiz
will only be granted in accordance with the
UH Absence Policy, with proper and
timely provided documentation.
Quizzes
will be graded using Gradescope system. Since this is an
outside of the UH website, you are not required to use it.
You must inform me during the first week if you opt out of
using the system and alternative arrangements will be made
for you. Information below is directed to those students
wishing to use Gradescope system.
When
enrolling yourself in Gradescope, use code: 4V5Y2B
.
When entering your name, please enter the first 3 letters of
your LAST, then first 3 letters of your FIRST name. For
example, for a name John Smith, a student should enter "Smi
Joh". As your ID number, enter the last 3 digits of your
student ID. You are free to use any email with Gradescope,
it does not have to be your UH email.
One
midterm will be held during regular class time.
Regrade Requests
You
have one week after your grade for Midterm or Quiz
is posted to submit a regrade request if you believe there
was a mistake with your grading. The deadline for the Final
regrade will be communicated by email after the exam is
graded.
If you miss class for whatever reason, you are responsible for all material covered, all lecture material presented in class, and all announcements made in class. When you miss a class, here are the steps to take to catch up with the material:
Check the calendar below to see what chapter was covered in class. Calendar is updated a few hours after the class.
Check Teams for any available notes covering this material. I will try to post some notes on Teams for each chapter, but they may not fully or accurately reflect what was done in class. If there are no notes on Teams, this means they are not available for this chapter/section/class.
Study the corresponding chapter in the textbook.
Contact your classmates for their lecture notes and to find our about any announcements made in class. Your classmates are the best resource for catching up with the material and for jointly solving homework problems.
Honor Code Statement
Students
are
expected to adhere to the University of Houston Graduate Academic
Honesty Policy on all exams and tests. Academic
honesty is taken very seriously and, in the cases of
violations, penalties may include suspension or expulsion
from the University of Houston."
Monday |
Wednesday |
Friday |
January 18 Lp spaces 15 |
January 20 Lp spaces 15 Quiz 1 |
|
January 23 Lp spaces 15 |
January 25 Lp spaces 15 |
January 27 Lp spaces 15 |
January 30 Lp spaces 15 Quiz 2 |
February 1 Lp spaces 15 Fourier transform 16 |
February 3 Fourier transform 16 |
February 6 Fourier transform 16 |
February 8 Fourier transform 16 |
February 10 Riesz representation 17 |
February 13 Riesz representation 17 |
February 15 Riesz representation 17 Quiz 3 |
February 17 Riesz representation 17 |
February 20 Banach spaces 18 |
February 22 Banach spaces 18 |
February 24 Banach spaces 18 |
February 27 Banach spaces 18 Quiz 4 |
March 1 Banach spaces 18 |
March 3 Banach spaces 18 |
March 6 Riesz representation 17.4 |
March 8 Review |
March 10 MIDTERM |
March 13 Spring Break |
March 15 Spring Break |
March 17 Spring Break |
March 20 Hilbert spaces 19 |
March 22 Hilbert spaces 19 |
March 24 Hilbert spaces 19 |
March 27 Hilbert spaces 19 |
March 29 Hilbert spaces 19 |
March 31 Hilbert spaces 19 |
April 3 Topology 20 Quiz 5 |
April 5 Topology 20 |
April 7 Topology 20 |
April 10 Topology 20 |
April 12 Topology 20 |
April 14 Topology 20 |
April 17 Spectral Theory 25 |
April 19 Spectral Theory 25 Quiz 6 |
April 21 Spectral Theory 25 |
April
24 Spectral Theory 25 |
April 26 - NO CLASS Spectral Theory 25 self-study |
April 28 Q&A |
May 1 Q&A |
May 05 FINAL 11:15am-1:15pm |
COVID-19 information
Regular class
attendance, participation, and engagement in
coursework are important contributors to student
success. Absences may be excused as provided in the
University of Houston Graduate
Excused
Absence Policy for reasons including: medical
illness of student or close relative, death of a close
family member, legal or government proceeding that a
student is obligated to attend, recognized
professional and educational activities where the
student is presenting, and University-sponsored
activity or athletic competition. Under these
policies, students with excused absences will be
provided with an opportunity to make up any quiz, exam
or other work that contributes to the course grade or
a satisfactory alternative. Please read the full
policy for details regarding reasons for excused
absences, the approval process, and extended absences.
Additional policies address absences related to military
service, religious
holy
days, pregnancy
and
related conditions, and disability.
Religious Holy Days
Students whose religious
beliefs prohibit class attendance or the completion of
specific assignments on designated dates may obtain an
excused absence. To do so, please make a written
request for an excused absence and submit it to your
instructor as soon as possible, to allow the
instructor to make arrangements. For more information,
seethe Student Handbook. http://catalog.uh.edu/index.
UH CAPS Statement
Counseling and Psychological Services (CAPS) can help students who are having difficulties managing stress, adjusting to college, or feeling sad and hopeless. You can reach CAPS (www.uh.edu/caps) by calling 713-743-5454 during and after business hours for routine appointments or if you or someone you know is in crisis. No appointment is necessary for the "Let's Talk" program, a drop-in consultation service at convenient locations and hours around campus. http://www.uh.edu/caps/outreach/lets_talk.htmlCOVID-19 updates: https://uh.edu/covid-19/
Coogs Care: https://www.uh.edu/dsaes/coogscare/
Laptop Checkout Requests: https://www.uh.edu/infotech/about/planning/off-campus/index.php#do-you-need-a-laptop
Health FAQs: https://uh.edu/covid-19/faq/health-wellness-prevention-faqs/
Student Health Center: https://uh.edu/class/english/lcc/current-students/student-health-center/index.php
Preliminary exam on the Theory of Real Variables is based on the material covered in two semesters of this class: 6320 and 6321. The exam mainly tests problem solving skills, which rely on the knowledge of definitions, statements and proofs of theorems covered in class. Full list of definition and theorems can be found here.