Homework:
The only way to learn mathematics is to do mathematics! The homework problems are an integral part of the course; they are the best and most reliable way to check your progress. Problems will range from fairly standard computations to routine applications of the definitions and formulae, to more difficult problems which will require more thought.
You'll have a problem set every week, due on Gradescope at 11.00am on Wednesdays. Please work out problems neatly - don't hand in your scratch work. Homework will be graded for clarity of exposition as well as correctness.
One course goal is to sharpen your mathematical writing skills, and homework is a place to practice.
Weekly homework and solutions will be posted on this page.
We encourage you to form study groups and work together. A good strategy is to try each problem yourself first, then get together with others to discuss your solutions and questions, and finally write up the solutions yourself.
The due date is always Wednesday morning at 9AM, and no late homework will be accepted under any circumstances.
(This is as much a courtesy to the grader as an incentive to stay current with the course and not fall behind.)
To accommodate situations such as a serious illness or anything else that may arise, your homework score will be multiplied by 1.11 (not to exceed 100%) at the end of the quarter.
It is always recommended that students submit partially-completed assignments even if they are not
able to finish the full assignment by the deadline.
Responsibility for understanding
You are expected to understand your submitted work in homework and exams and to be able to verbally explain to your instructor (upon request, and without advance notice) any work you submit. When you apply for jobs, you will be interviewed by professionals who instantly recognize a lack of real understanding due to over-reliance on AI; we hold you to the same standard. Do not submit what you do not understand. The response
``I don't understand what I was writing but I know it works'' is never acceptable when asked to explain a submission.
If your verbal explanation is inadequate in that you clearly do not understand what you wrote down or you cannot solve a similar problem using the same techniques, your grade for that portion of the assignment or exam will be assigned (or reassigned) to be 0. Your instructor may also file an Honor Code concern if your work contains solutions resembling AI output that you cannot adequately explain in-person in your own words when asked to do so.
Note on using AI:
Using
AI to generate solutions for homework, a project, or other assigned work is prohibited.
If you outsource to AI any part of your work on an assigned task
(to get ideas, to try out a similar but not identical task, etc.) then you must abide by the math
department AI Disclosure Policy:
- Only use the Stanford AI Playground (this is behind a Stanford firewall, and nothing you
enter into it is shared outside Stanford or used for model training, according to this).
- Write and submit your solution without looking at AI output. Submitting AI-generated text
as your own work is plagiarism insofar as it involves passing off the work of others as your
own. On exams you will be expected to demonstrate your understanding without AI tools.
- Below your solution, thoroughly document any AI use: name of the AI platform(s) and
screenshots of the prompt(s) you entered and the entirety of the AI output.
Any use of AI in any of your homework or project is prohibited.
In an effort to enforce this requirement (and to build on your writing skills) in your work we will
pay particular attention to the following elements:
Writing Projects:
There will be two writing projects in this course. In these writing projects you will read about some topic that we didn't cover in this course, and write a short expository paper. Essentially, you should think of it as writing a small section of a textbook.
- For the first project due at 11.00 am on November 6th, you'll write a short paper (~ 4-6 pages) on some topic from linear algebra.
- For the second project due at 8:30 am on December 12th, you'll write a paper (~ 6-8 pages) on some topic from real analysis. For the second project you will schedule 30 minutes appointment to discuss your paper. The 20% of the grade is
for both writing the paper and the follow up discussion.
- You'll have to type both of these assignments. We recommend that you use LATEX, a typesetting system that is standard for scientific documents. We will provide sample LATEXfiles for you to edit. However, there's a learning curve on LATEX, and you are welcome to use a standard word processor with a mathematical plug-in if you'd prefer. More details will be given soon!
Logistics for handing in homework
The homework is due on Wednesdays at 11.00 am Pacific Time.
Homework
submissions will be handled electronically via the Gradescope platform, that is now linked through canvas.
Gradescope accepts only electronic submissions, so you will need to scan your homework before uploading
it. Details on how to use Gradescope can be found below.
Assignments will be posted one week before they are due. Any change (e.g., to fix a typo)
to a posted assignment will be announced in class and via email.
Untagged problem policy: Untagged homework problems will not be graded by the graders. Once you submit
a regrade request due to a problem tagged incorrectly, there will be between 10% and 50% penalty for that problem. (penalty progressing from Hw2).
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Fall 2025
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