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AIM Qualifying Review Examinations

Because AIM attracts students with diverse backgrounds, one of the initial requirements is for all students to exhibit a sufficiently strong command of advanced undergraduate level mathematics to be ready to take appropriate graduate level mathematics courses. This is the goal of the written AIM Qualifying Review Examinations. Students may choose to pass any two three-hour exams offered in the following three areas:

  • Advanced Calculus & Complex Variables
  • Differential Equations & Linear Algebra
  • Probability & Discrete Mathematics

Incoming students must sign up to take two exams prior to beginning their coursework. Students not passing the exams on the first attempt will receive counseling regarding options (for example, remedial coursework) for enabling future success. The AIM Qualifying Review Examinations are offered twice each school year, once prior to the start of classes in the Fall semester and again prior to the start of classes in the Winter semester. Successful AIM Ph.D. students will pass two exams within three attempts, that is, by the beginning of the second year of study. Unsuccessful students may continue in the program for one further year to complete an AIM Master's degree.

*** Due to the necessity of remote teaching and learning caused by the COVID 19 pandemic, University of Michigan AIM PhD students will be given one extra term to meet QR deadlines. This accommodation will be given to PhD students entering their program in Winter 2020, Fall 2019, and Fall 2018.
Adjusted Deadline:   Incoming students must sign up to take two exams prior to beginning their coursework. Students not passing the exams on the first attempt will receive counseling regarding options (for example, remedial coursework) for enabling future success. The AIM Qualifying Review Examinations are offered twice each school year, once prior to the start of classes in the Fall semester and again prior to the start of classes in the Winter semester. Successful AIM Ph.D. students will pass two exams within four attempts, that is, by the beginning of the fourth semester of study. Unsuccessful students may continue in the program for one further year to complete an AIM Master's degree. 

About the AIM Qualifying Review (QR) Exams

The 2020-2021 AIM Qualifying Review Exam Schedule is as follows:

August 2020 - Remote QRs via Canvas & Zoom

  • Probability & Discrete Mathematics - Thursday,  August 20, 9am - 12 noon Eastern Standard Time
  • Differential Equations & Linear Algebra - Friday, August 21, 9am - 12 noon Eastern Standard Time
  • Advanced Calculus & Complex Variables - Saturday, August 22, 9am - 12 noon Eastern Standard Time

January 2021 - Remote QRs via Canvas & Zoom

  • Probability & Discrete Mathematics - Wednesday, January 6, 2021 9am - 12 noon Eastern Standard Time
  • Differential Equations & Linear Algebra - Thursday, January 7, 2021 9am - 12 noon Eastern Standard Time
  • Advanced Calculus & Complex Variables - Friday, January 8, 2021 9am - 12 noon Eastern Standard Time

** If you think you need an accommodation for a disability, please contact the Services for Students with Disabilities (SSD) Office located at G664 Haven Hall.  The SSD phone number is 734-763-3000.  Once your eligibility for an accommodation has been determined you will be issued a verified individual services accommodation (VISA) form.  Please present this form to the math-grad-office at least two weeks prior to the QR exam.

How to Sign up for AIM QR Exams

  1. Approximately 1 month prior to the exam(s), the math-grad-office will send out a Google Form asking which exams in which you are interested to take.
  2. Approximately 2 weeks prior to the exam(s), you will receive a secret number from the math-grad-office.
  3. On the day of the exam, you will write this number on each page of your exam(s) instead of your name.
  4. Approximately 1 week after the exam, you will receive a letter of results from the math-grad-office.
  5. After receiving the results, students needing counseling with meet with the AIM Director.

 

Remote QR Procedure

Remote QR Procedure

The exams will be held 9am -12 noon EDT (Ann Arbor time) on the designated days, in a secure zoom meeting to which you will be issued an invitation.

To participate, you will need:

 

  1. To respond to all office emails about your intention to participate.
  2. A computer with internet access and camera, available for the full time period 8:30am -12:30pm on the designated day(s).
  3. Canvas and Zoom (installed ahead of time).
  4. To submit your work as a pdf file through the canvas portal. You may submit handwritten solutions from a tablet or from a photograph of white paper. If submitting photographs, use an app like Camscanner to combine the photos of every page and convert to a pdf file for submission. ** Be sure that image is good enough for examiners to grade.
  5. To grant your permission to be videotaped taking the exam.
  6. To participate in a “Trial Run” at a specified time about one week before the exam.
  7. To consent to waiting after your upload (for max 30 minutes post exam time) while we make sure your file is visible and whole, and if needed, coordinate with us to make it right.
  8. To certify that you have taken the exam without consulting any textbooks, papers, notes, websites, or received any other help or clarification, from any other human or online source.
  9. To agree to participate in an honor code in which you agree to that you have not received, nor given, any help from any source, nor have you observed anyone else doing so.

If you require SSD accommodations or otherwise have an issue needing accommodation relating to COVID-19 or the remote format of the QR exams, you must indicate so in correspondence with the office about this at least two weeks in advance. We will provide you with separate instructions on a case-by-case basis. Please let us know immediately if you have questions.

Examination Day and Trial Run Procedure:

  1. Please be ready with plenty of paper, pens, and/or fully charged tablet (and back-up paper/pens). Please also have a phone or other access to call (if needed) for help in the event of a problem, and that you have a power-cord ready. If you need snacks or water, have them ready. 
  2. Go to the Subject-specific QR Canvas site and sign the QR Exam Honor Code.
  3. In the same the Subject-specific QR Canvas you will find the “Zoom Examination Room” link and password for each exam segment you are taking. 
  4. The “Zoom examination room” will open 30 minutes prior to each exam segment. 
  5. Please enter the Zoom examination room no later than 10 minutes prior, for each 3 hour exam segment, with your video on and your computer camera positioned so your face is visible. 
  6. You should have a phone nearby if you need to contact the examiner. However, it should be silenced, and you should not send nor read any text messages during the exam. 
  7. If you enter the exam room later than 10 minutes prior (8:50am), you may not be allowed to participate. 
  8. Download the exam (in case of internet difficulties) and open it as a pdf on your screen when it opens. You will work on the exam, from 9am - 12noon.
  9. Solutions must be hand-written in your own hand-writing, whether on white paper or on a tablet. 
  10. You should not consult any source whatsoever, whether physical, remote, human or machine. 
  11. You should remain visible to the camera during the exam. However, you do not need to ask permission for a brief (e.g., restroom) break.
  12. Send a private chat to the examiner (zoom host) if you have a question about the exam. 
  13. Call a proctor (zoom host) on the phone immediately if there is a problem. Write down on paper the provided phone numbers before the exam in case of internet outage. 
  14. Upload your solutions as a pdf file using the Canvas submission link, and wait for confirmation that it was received without corruption. You will have 10 minutes to upload your work into Canvas when exam time ends. 
  15. Report any incidents of cheating that you observed to one of the exam hosts.

The AIM QR Examination in Advanced Calculus & Complex Variables

ACCV Resources

We recommend the following references for students preparing for this examination:

  • J. Stewart, Multivariable Calculus.
  • K. Ross, Elementary Analysis: The Theory of Calculus.
  • J. W. Brown and R. V. Churchill, Complex Variables and Applications.

Some of the recent AIM QR Examinations (and syllabus) in Advanced Calculus & Complex Variables are available for study:

Syllabus Winter 2011 Fall 2011
Fall 2012 Winter 2013 Fall 2014
Winter 2014 Winter 2015 Fall 2015
Fall 2016 Winter 2017 Fall 2017
Fall 2018 Winter 2019 Fall 2019
Winter 2020 Fall 2020  

The AIM QR Examination in Differential Equations & Linear Algebra

DELA Resources

We recommend the following references for students preparing for this examination:

  • W. E. Boyce and R. C. DiPrima, Elementary Differential Equations.
  • R. Haberman, Applied Partial Differential Equations with Fourier Series and Boundary-Value Problems (Chapters 1-4).
  • G. Strang, Linear Algebra and its Applications.

Some of the recent AIM QR Examinations (and syllabus) in Differential Equations & Linear Algebra are available for study: 

Syllabus Fall 2010 Winter 2011
Fall 2011 Winter 2012 Fall 2012
Winter 2013 Fall 2013 Winter 2014*
Fall 2014 Winter 2015 Fall 2015
Fall 2016 Winter 2017 Fall 2017
Fall 2018 Winter 2019 Fall 2019
Winter 2020 Fall 2020  

* No students took the Winter 2014 Exam

The AIM QR Examination in Probability & Discrete Mathematics

PDM Resources

We recommend the following references for students preparing for this examination:

  • S. Ross, A First Course in Probability.
  • R. A. Brualdi, Introductory Combinatorics.
  • J. Kleinberg and É. Tardos, Algorithm Design

Some of the recent AIM QR Examinations (and syllabus) in Probability & Discrete Mathematics are available for study:

Syllabus Fall 2010 Winter 2011
Fall 2011 Winter 2012 Fall 2012
Winter 2013 Fall 2013 Winter 2014
Fall 2014 Winter 2015 Fall 2015
Fall 2016 Fall 2017 Fall 2018
Fall 2019 Winter 2020 Fall 2020