Lecture
Time: 2:00pm – 3:50pm (TR) Location: Knudson Hall 100
Prerequisite: Math 3161
Instructor:
Mei Yin mei.yin@du.edu
Office and Office Hours: Zoom, 10:30am – 12:00pm (TR), or by
appointment
Tentative Calendar:
The Week Of |
Material Covered |
March 27 – March 31 |
Introduction, Topological Spaces |
April 3
– April
7 |
Closure, Interior, Neighborhoods, Bases,
Subbases |
April 10
– April 14 |
Subspace Topology, Continuous Functions, Weak
Topology |
April 17
– April 21 |
Product Topology, Quotient Topology,
Separation Axioms (I) |
April 24
– April
28 |
Product Topology, Quotient Topology,
Separation Axioms (II) |
May 1 – May
5 |
Filters, Ultrafilters, Nets |
May 8
– May
12 |
Compactness, Tychonoff Theorem (I) |
May 15
– May
19 |
Compactness, Tychonoff Theorem (II) |
May 22
– May
26 |
Connectedness |
May 30
– June 2 |
Complete Metric Spaces, Baire Theorem |
Homework
will be assigned about once a week and is for students'
review and practice only. Homework will not be collected
and is not included in the computation of your grade.
There will be a biweekly quiz on Thursdays in class during weeks 2, 4, 6, 8, and 10. Quiz problems will be based on class lectures and assigned homework. Each quiz will account for 10 points; the lowest quiz score will be dropped. Makeup quizzes will only be offered in the event of extreme circumstances. If you think you have a problem which will force you to miss a quiz, please come talk to me as soon as possible.
There will be a cumulative final
exam on Tuesday, June 6, 2-3:50pm.
Help: Additional
handouts will be distributed throughout the quarter.
Students are also encouraged to ask for individualized
help from the instructor at any time.
Students
with Disabilities: If you qualify for academic
accommodations because of a disability or medical issue,
please submit a faculty letter to me from Disability
Services Program (DSP) in a timely manner so that your
needs may be addressed. DSP determines accommodations
based on documented disabilities/medical issues. DSP is
located on the 4th floor of Ruffatto Hall, 1999 E Evans
Ave, 303-871-2278. Information is also available online
at http://www.du.edu/disability/dsp;
see the Handbook
for Students with Disabilities.
Inclusive Learning Environment: In this class, we will
work together to develop a learning community that is inclusive
and respectful. Our diversity may be reflected by differences in
race, culture, age, religion, sexual orientation, socioeconomic
background, and myriad other social identities and life
experiences. The goal of inclusiveness, in a diverse community,
encourages and appreciates expressions of different ideas,
opinions, and beliefs, so that conversations and interactions
that could potentially be divisive turn instead into
opportunities for intellectual and personal enrichment.
A dedication to
inclusiveness requires respecting what others say, their right
to say it, and the thoughtful consideration of others'
communication. Both speaking up and listening are valuable tools
for furthering thoughtful, enlightening dialogue. Respecting one
another's individual differences is critical in transforming a
collection of diverse individuals into an inclusive,
collaborative and excellent learning community. Our core
commitment shapes our core expectation for behavior inside and
outside of the classroom.
Religious
Accommodations: University policy grants students
excused absences from class or other organized
activities for observance of religious holy days, unless
the accommodation would create an undue hardship.
Faculty are asked to be responsive to requests when
students contact them in
advance to
request such an excused absence. Students are
responsible for completing assignments given during
their absence, but should be given an opportunity to
make up work missed because of religious observance.
Once a student has registered for a class, the student
is expected to examine the course syllabus for potential
conflicts with holy days and to notify the instructor by
the end of the first week of classes of any conflicts
that may require an absence (including any required
additional preparation/travel time). The student is also
expected to remind the faculty member in advance of the
missed class, and to make arrangements in advance (with
the faculty member) to make up any missed work or
in-class material within a reasonable amount of time.