Quiz 6 Instructions

  • The purpose of this quiz is to support your learning by
    • offering you an opportunity to demonstrate your mastery of course material
    • providing feedback so that you can plan your studying
    • letting you see how your instructor writes quiz/exam questions, and grades them
    • … in a low-stakes quiz, with plenty of time for you to make any needed adjustments before the first exam
  • This is a take home quiz:
    • The quiz will become available at 9:00am on Sunday, October 18.
    • The quiz must be completed by 9:00pm on Wednesday, October 21.
    • The close time is strict.
  • The quiz is completed using a combination of WeBWorK and BlackBoard.
    • The quiz questions are given in WeBWorK. Submit your answers in WeBWorK. You can use unlimited submissions, but you will not receive feedback on the correctness of the answers when submitted. (The purpose of multiple submissions is in case you find a mistake, or type your answer wrong.)
    • In addition to answering the questions in WeBWorK, upload the written solutions to BlackBoard.
  • Solutions can be written by hand or using computer software, then create a .pdf document to upload.
    • Handwritten: Write the solutions in easy to read hand writing, then scan the result using a tool like GeniusScan to create a single .pdf document.
    • Annotation Software: Use annotation software to write up the solutions in easy to read writing. Then save the result as a flattened .pdf document.
    • Typesetting Software: Use computer software such as LaTeX or Word+MathType to type up the solutions, then save the result as a .pdf document.
    • Single PDF file submissions are strongly preferred, if possible. Please try to make your submissions (scanned work etc) combined into a single PDF if possible.
  • Quality of presentation of written work is a significant part of the grade. This includes:
    • Neatness: Sloppy work will score poorly, if it gets graded at all.
    • Organization: Work must be easy to find and easy to follow.
    • Communication: Work must show how you reached your answer, and must make correct use of mathematical notation.
    • Complete each question on a new page(s).
    • You must show and explain your work. Use sentences. Your explanations have to make sense to a human being who is reading them.
    • Please make sure that all of your scanned work is legible. That includes turning it to be oriented upright.
  • When working on the quiz students may:
    • Discuss the questions with other students and/or the learning assistant.
    • Ask their instructor for help.
    • Use any of the course resources, notes, videos, etc. on the course website, or similar style resources.
    • Use calculators or computers to do basic arithmetic.
  • When working on the quiz students may not:
    • Ask any person to complete any part of the quiz for them.
    • Copy another person’s work and present it as their own.
    • Explicitly look up the solution to any problem online.
    • Aid another student in any of the above activities.
    • Commit any other infraction of the Student Code of Conduct.

Quiz 6 problems

This quiz has 3 questions.

  1. For each part give:
    • The eigenvalues and eigenvectors that were listed on WebWork (copy these onto your work)
    • The general solution of the differential equation
    • A hand-drawn phase plane
    • Show the eigenvector lines and the direction of solutions along each eigenvector line (if the eigenvectors are real)
    • Show some integral curves

    These are hand-drawn sketches, so it’s okay if they’re a little bit rough, but they should have the right general shape.

  2. Show your work.

  3. Show your work.

Please contact me on Discord or by email if you have any questions or if any tech issues come up. GOOD LUCK!