Thank you for your interest in the 2020 Bennett Competitions! Due to the limitations of this year's pandemic lockdowns, we are forced to run the competitions a little differently. The questions are comparable to any other year's contest, but in order to ensure that everyone is given equal opportunity to do well while working away from campus, we must insist that participants follow some new rules. (These are in addition to your affirmation of the University's Honor Code.) The competitions will be held Wednesday, December 9 2020. The exam times are 3pm-5pm Calculus Exam 6pm-8pm Linear Algebra Exam The contests are open only to students who will have completed the relevant courses in 2020. The entire contest will take place during a Zoom call. Please sign in to https://utexas.zoom.us/j/9899620457 with your UT account prior to the start of the competition. You should have a camera pointed at your workspace while you complete the exam. Please enable the "chat" bar and keep your speakers on, in case it is necessary to alert you to a typo, to announce the time remaining, etc. You should also enable a web browser and prepare to download a copy of the questions. They will appear by the appointed start time; a URL will be posted to the chat bar. (The questions will be a single-page PDF file.) You may wish to print the questions for your convenience but that is not necessary. You will of course have to solve the problems on your own, without help from any other person, book, notes, internet resource, calculator, or computer. Just make sure you have handy plenty of blank paper and a writing implement or two. You should submit all your "scratch" work as part of your answer --- no credit will be given for correct answers that appear "magically" without explanation. (You may, and probably should, throw away any scratch work that you decide later was unhelpful or took you down a wrong path.) If you have time, you may wish to write up your answers in a cleaner, more streamlined way: the judges are human and likely to be influenced by a clear, complete, and organized presentation of an answer. But getting your work to us in some form by the deadline is the higher priority. These questions are difficult and time-consuming; most participants do not complete all of them (at least, not well!) While we can't predict how contestants will do this year, it is certainly true that some people in the past have won prize money with only a few questions answered correctly. So do your best and be optimistic! You will have to convert your answer to a form suitable for email, and send the email off before the exam period ends. You may wish to use a scanner for this; there are apps for smart phones that do this as well. A photograph of each written page is acceptable though this is cumbersome. Whatever method you choose to use, we encourage you to practice your technique in advance so that you can comfortably do this in the last few minutes of the competition. With your submission, please also provide the following information: Name EID Current Calculus/Linear Algebra course and instructor (if your eligibility was during Spring 2020 instead, please say so.) Permanent Mailing Address E-mail address College (Natural Sciences, Engineering, etc.) You should probably write out this information in advance to save a few minutes. If, during the competition, you have a question or a technical issue with your testing environment, please use the Zoom chat bar to contact me; unless you are confident the question is relevant to the whole class, you should use the drop-down menu to send a "private" message to me (the host). Once all the submissions have been received, the judging panel will begin to review the papers; this will surely be a slower process than in a normal semester but we hope to be able to identify the winners by the end of final exam period. Winners will be posted to math.utexas.edu/~rusin/Bennett/ as soon as they are known. We apologize for the cumbersome arrangement necessary this semester, but still we hope you will enjoy the challenging problems we have selected for you. There is plenty of interesting and relevant mathematics that can barely be mentioned in the typical undergraduate courses; read through the answer keys after the competition to learn some of these hidden gems! Thank you in advance for your participation! Dave Rusin Bennett Competition Committee Department of Mathematics University of Texas