Math 121: Introduction to Topology
Syllabus
In this course we introduce the basic notions
in topology.
Instructor: Ko Honda
- Office: MS 7919
- E-mail: lastname at math dot ucla dot edu
- URL: http://www.math.ucla.edu/~honda
- Office hours: M 11-11:50 am, W
1-1:50 pm
TA: Ben Spitz
(benspitz at math dot ucla dot edu); office hours TBA
Class
Meetings: Every week
there will be three hours of lecture as well as one hour of
discussion. (The first two weeks will be remote.)
- Lectures: MWF 2-2:50 pm @ MS
5147
- Discussion section: Th 2-2:50
pm @ MS 5147
COVID-19 Policy:
Keeping our community safe depends on each of us
following the latest UCLA health and safety guidelines. Things
might change, but for the moment you:
- Are responsible, regardless of vaccination
status, for wearing an approved mask that fully covers our nose and mouth for the duration of class,
office hours, or other course-related activity.
Disposable masks are available at the Wooden Center for anyone
unable to obtain a mask or who has
forgotten to bring one to campus.
Appropriate masks include two-ply woven fabric masks, surgical
masks, non-woven KN95 masks, and N95
respirators. Please note that scarves,
balaclavas/ski masks, single-layer fabric masks and neck gaiters, bandanas, and turtleneck collars are not
adequate. For those that have a medical
reason not to wear a mask, you can contact the Center for Accessible Education (CAE) to have this exception
approved and sent to instructors.
- Must be fully vaccinated or have submitted an
exception request. Unvaccinated
students with pending or approved exceptions must comply with
twice-weekly testing.
- Are required to complete daily symptom checks
prior to coming to campus, regardless of vaccination status,
and must stay home if you are not cleared by the symptom
survey and/or are advised by the Exposure Management Team to
quarantine or isolate.
- Will refrain from eating or drinking in the
classroom. If you need to take a sip of
water or eat something quickly for medical reasons, please
step outside the room to do so.
Please stay home if sick or potentially
exposed. Email me if you need to stay home, and we will
arrange for you to access class recordings/notes.
The flip side of this requirement is that I
also cannot come in even if I have mild cold symptoms such as
a headache, runny nose, or sore throat. I think it's
likely this will happen at some point in the quarter because I
catch colds pretty often. In that case I'll email
everyone in the class and we'll
have to switch to Zoom for a lecture or two.
Be advised that refusal to comply with current
campus directives related to COVID-19 mitigation will result in
dismissal from the classroom and referral to the Office of
Student Conduct. If you have any questions or concerns about
UCLA’s COVID-19 protocol, go to https://covid-19.ucla.edu/information-for-students/.
Topics
- Metric and topological spaces
- Completeness, compactness, connectedness,
continuity
- Fundamental group, covering spaces,
applications
Textbook: Gamelin and Greene, Introduction
to Topology, 2nd Ed., Dover
Prerequisite: Math 131A or equivalent
REQUIREMENTS: You are responsible for
carefully reading the following and being aware of all the
requirements. Please ask questions about anything you
don't understand.
Classroom Expectations
I want you to enjoy this class, but
please respect my right to teach and your classmates' rights to
learn.
- Please refrain from disruptive behavior
(such as unnecessary talking).
- Laptop/tablet use is restricted to taking
notes. Your
cell phones must be turned off (this in
particular means you cannot use your cell phones in
class). Also no reading newspapers and other non-class
materials.
Grading System
- Weekly HW: 25%
- Midterm: 25%
- Final Exam: 50%
Homework: HW assigned each week will be due
by the end of the following Monday, on Gradescope. For
example, the HW assigned
on Mon 1/3, Wed 1/5, and Fri 1/7 are due on Mon 1/10.
See the class
schedule.
- We will NOT grade the entire HW; rather a
subset of the HW will be chosen and graded.
- You may work with others, consult other
textbooks, and look up resources online (although I don't
recommend it) but the HW you turn in must
be written by you, in your own words, and you must cite
your sources used and your collaborators. Any HW without proper attribution or not written in
your own words will be considered plagiarized and will
automatically receive a 0, and you may be subject to
disciplinary action depending on the severity of the
infraction.
- Please pay attention to your writing:
The solutions you submit must be clean (i.e., no rambling
discussions and the logical order should be clear) and
complete. Even if you have the right idea, if we do not
understand what you write, points will be taken off.
Midterms: There will be one
in-class midterm exam during the quarter (Monday, February
7). No makeup midterms will be
given. Any absence on a midterm will result in a score of
0, unless excused. In case of an excused absence, the
final exam grade will replace the midterm grade that is
missed. It is your responsibility
to let me know in advance if you will be absent for a
legitimate reason, so I can excuse you. In case of an
emergency (e.g., sudden illness), please supply some
documentation afterwards (e.g., doctor's note). If you
have any conflicts with the midterm, please come talk
to me about it within the first two weeks of class.
Final Exam: Thursday 3/17, 3pm-6pm
Academic Integrity
The instructor strongly adheres to the
University policies regarding academic integrity violations, and
will strictly enforce these rules. You are encouraged to review
the UCLA
Student Conduct Code.
Students with Disabilities
Any student requesting academic
accommodations based on a disability is required to register
with the Center for
Accessible Education (CAE).
WARNING: The course syllabus provides a
general plan for the course; deviations may become
necessary.
Last modified: January 4, 2022.
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