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Gradescope Homework

After certain lectures, you will be asked to complete homework assignments on Gradescope. Gradescope homework questions can be multiple choice, multiple answer, matching, or fill-in-the-blank style. Each homework assignment will be made available at 9:00 am Pacific Time and they are due on the next day at 11:00 pm.

Follow this link to log into Gradescope.

  • Late assignments will not be accepted.

Paper-and-Pen Homework  

(Updated 3 December 2023)

Paper-and-Pen assignments should be submitted through Gradescope. You will be automatically enrolled in this course at Gradescope by August 29. If you are not familiar with Gradescope, you can find a video demonstrating the submission process at the following link:

https://gradescope.com/get_started#student-submission
Also Gradescope has provided a helpful guide to scanning and submitting your assignment as a PDF:
Guide to scanning and submitting your assignment
  • Late assignments will not be accepted.
  • Please keep all problems in the same order as the assignment list and ordered vertically on your page.
  • You must show all of your work.
  • All your solutions should be in a single pdf file before being uploaded, or as a picture for each question.
  • Please make sure your files are legible before submitting. Unreadable solutions will not earn credit.
  • Most word processors can save files as a pdf.
  • There are many tools to combine pdfs, such as here, and others for turning jpgs into pdfs, such as here.

    • Homework 0 (Reading Assignment) Note: The password can be found in item 6. of the email that was sent to students on Monday, 08/21/2023.
    Note: Please complete this reading assignment by 09/01/2023. If you have any questions, please come to my office hours.
    Note: Please carefully read the syllabus. If you have any questions about the syllabus, please come to my office hours.
    Homework 1     (Due Friday, September 15, 1:00 pm) (New Due Date: Monday, September 18, 12:30 pm)
      Note: Misconception: "Every homework problem must be directly analogous to an example or an exercise solved in class." NO! For some problems you may need to apply what you have learned to something new, make connection between various concepts discussed in class and think about concepts in different ways and from different angles. It is absolutely false (and dangerous) to think that you should be able to solve every homework problem in under 10 minutes, by directly applying algorithms/procedures taught in class. If you want to really learn the lecture topics, you need to work hard every single day.

      Note: If you have any questions about the homework problems, please come to my office hours. If any of the homework problems seems hard or impossible, that just indicates that there is a fundamental problem with your understanding of basics of mathematical analysis and mathematical reasoning. By experience I know that dealing with this through email is ineffective. It is not a good idea to answer any questions about homework via email. We should meet up in person (or in zoom) during my office hours to discover what the root of the problem is. Remember, the goal is not just solving the problem; we want to UNDERSTAND the problem and REFLECT on the solution. Please bring your questions to my office hours. There is nothing that I like more than answering your questions about the material covered in Math 130.

      Note: The purpose of this homework assignment is to make sure that you know the terminology and specific methods discussed in class. All problems should be solved using terminology, ideas, and methods that were introduced in lecture.

      Note: Please carefully read the syllabus. If you have any questions about the syllabus, please come to my office hours.
    Special Extra Credit
      There are two standard approaches for constructing the set of real numbers (i.e., the ordered field that satisfies the least-upper-bound property) from the set of rational numbers. One method introduces real numbers as certain equivalence classes of Cauchy sequences of rational numbers, while the other method uses Dedekind cuts. For more detailed discussions, please consult the references below. You will earn extra credit if you come to any of my office hours to teach me either of these methods.

    • Robert Strichartz, The Way of Analysis, Chapter 2

    • Ethan D. Bloch, The Real Numbers and Real Analysis, Chapter 1
    Homework 2 (Due Monday, October 2, 12:30 pm)
    Homework 3 (Due Monday, October 16, 12:30 pm)
    Homework 4 (Due Monday, October 30, 12:30 pm)
    Reading Assignment
      Note: Please carefully review the examples in the above PDF file.
      Note: Please carefully read the syllabus. If you have any questions about the syllabus, please come to my office hours.
    Logic in symbols or words
        Following Mike's valuable comment in class, I thought it might not be a bad idea for all of us to take a look at the following page discussing symbols versus words:
      • Symbols Versus Words
    Homework 5 (Due Monday, November 13, 12:30 pm)
    Reading Assignment
    Homework 6 (Due Wednesday, November 29, 12:30 pm)
    Some Guidelines for Good Mathematical Writing
        Kanwarjit graciously introduced me to the following document containing valuable guidelines for good mathematical writing. While some of the points made here may be a matter of discussion, I strongly recommend that all my students read this document.
      • Guidelines for Good Mathematical Writing
    Compactness
        Last week, David kindly shared an excellent YouTube video with me, exploring the notion of compactness in mathematical analysis and topology. While the content surpasses what we covered in our Math 130 class, I highly recommend that my students watch this video. I am confident that everyone will enjoy and benefit from the insightful presentation it offers.
      • Compactness
    Virtual Office Hours 12/09/2023 - 12/15/2023