|Email policy||Grading||Exams||Homework and SYOPs||Examples library||Schedule||Equity||Integrity|
Instructor: Nina Otter
(lastname AT math dot ucla dot edu)
Office Hours: Monday at 11am Pacific Time; Wednesday at 9am Pacific Time.
Benjamin Szczesny (ben dot lastname AT math dot ucla dot edu)
TA Office Hours: TBD
Textbook: T.W. Gamelin and R.E. Greene, Introduction to Topology (2nd Edition) , Dover.
Campuswire page: click here
Whenever possible, post your questions on Campuswire, instead of sending an email to the instructor or the TAs. In case you do need to send an email, please follow these guidelines: use your UCLA email address, start the subject of all your emails with "MATH 121", and sign your emails with your full name and UCLA ID number.
The homework and SYOPs with the lowest grade will be dropped from the final grade.
Final grades will be absolute, and will be based on the standard letter-grading scheme, available here, with the exception that there will be no A+ grade, because this grade is too difficult to gauge in the remote format.
The time windows will be as follows:
You may use internet resources to clarify definitions and better understand theorems, but the use of any human resources (e.g., Chegg, Math Stack Exchange) is forbidden. The use of any such materials constitutes academic dishonesty.
No makeup exams. Attendance of the final is a requisite for the successful completion of this course.
About the SYOP sheets: A mathematics education will ideally enable you to build your mathematical skillset and pursue mathematical questions on an independent basis. For this I believe that it is crucial that you are given the opportunity to develop your own way of learning and doing mathematics. Each week I will therefore ask you to put in writing a discussion of some topic covered in the lecture, some additional topic that you might find interesting (but is still closely related to the lecture content), or a solution to an exercise of your choice (this does not need to be from the book, but needs to be related to the lecture content). For this assignment I would like you to pay particular attention to the quality of your (mathematical) writing. Of course, it goes without saying that mere transcription of parts of the book or other sources will not be accepted. Be creative!
There will in total be eight homework assignments and eight SYOPs. Each assignment counts towards 2.5% of the final grade. The homework and SYOPs with the lowest score will be dropped from the final grade. Homework assignments will be released on Mondays, and will be due on Tuesday of the following week at 10am Pacific time, as indicated on the schedule below. SYOPs will be due on Tuesdays at 10am Pacific time.
We will use Gradescope for submission and grading of homework, as well as for grading the exams. Gradescope is integrated with CCLE, and all students enrolled to the course should have been automatically added to Gradescope. If this is not the case, please contact the instructor.
Please make sure that you upload readable copies of your solutions to Gradescope. You can find advice on how to scan and sumit your solutions here.
No late assignments will be accepted.
You are asked to contribute examples each week on Campuswire. Each
example should be related to the topics covered during the week in
which you are posting it to Campuswire, and it
should be described in enough detail to convince your classmates that
it is indeed an example (or counterexample) of a specific property
or theorem, etc. Each
example will be awarded 5% points. You can
earn up to 15% points per week, for a total of 100% points over the
quarter. The points earned through the
examples will contribute 5% to the final grade of this course.
In the following table you can see the preliminary lecture schedule.
|L#||Date||Content of Lecture||Homework|
|1||M, 29 March||Metric spaces and open sets||Week 1
|2||W, 31 March||Closed sets and sequences||3||F, 2 April||Complete metric spaces|
|4||M, 5 April||Baire Category Theorem||Week 2
Homework 1, due 5 April
SYOP 1, due 5 April
|5||W, 7 April||Corollary of BCT, the real line||6||F, 9 April||The real line (cont.), products of metric spaces|
|M, 12 April||no lecture||Week 3
Homework 2, due 13 April
SYOP 2, due 13 April
|7||W, 14 April||Continuous maps, products||8||F, 16 April||Compactness|
|9||M, 19 April||Compactness in metric spaces||Week 4
Homework 3, due 20 April
SYOP 3, due 20 April
|10||W, 21 April||Compactness in metric spaces||11||F, 23 April||Topological spaces|
|12||M, 26 April||Subspaces||Week 5
Homework 4, due 27 April
SYOP 4, due 27 April
|13||W, 28 April||Continuous maps||F, 30 April||Midterm, no class|
|14||M, 3 May||Basis for a topology||Week 6
|15||W, 5 May||Separation axioms||16||F, 7 May||Product spaces|
|17||M, 10 May||Compact spaces||Week 7
Homework 5, due 11 May
SYOP 5, due 11 May
|18||W, 12 May||no lecture||19||F, 14 May||Quotient spaces|
|20||M, 17 May||Connected spaces||Week 8
Homework 6, due 17 May
SYOP 6, due 17 May
|21||W, 19 May||Path connected spaces||22||F, 21 May||Locally compact spaces; infinite products|
|23||M, 24 May||Basics about groups and homotopies of paths||Week 9
Homework 7, due 24 May
SYOP 7, due 24 May
|24||W, 26 May||Fundamental group||25||F, 28 May||Fundamental group: dependence on basepoint and induced homomorphisms|
|M, 31 May||Memorial day, no class||Week 10
Homework 8, due 3 June
SYOP 8, due 3 June
|26||W, 2 June||27||F, 4 June||Revision|
For any type of evaluation (homework, SYOP, exams, examples library) You may use internet resources to clarify definitions and better understand theorems, but the use of any human resources (e.g., Chegg, Math Stack Exchange) is forbidden. The use of any such materials constitutes academic dishonesty.
At the beginning of each exam you will be asked to first sign the following code of integrity:
Students suspected of academic dishonesty may be reported to the Dean of Students. This leads to a process which could end in suspension or dismissal.
Last updated 3 May 2021