University of Prince Edward Island Mathematics 1910: Introductory Calculus 1 Fall 2020 (ONLINE) INSTRUCTOR Justin Gulati E-mail: jgulati@upei.ca Extra Help: Unfortunately, for obvious reasons, we cannot meet in-person. Many questions can be answered over email. For those instances where email is difficult or impossible, I would be happy to set up a virtual meeting through the Google Meet platform where I would share my screen and help you in real-time. Firstly, we need to discuss some rules / disclaimers regarding some assumptions of this course and what you can and cannot do when submitting work. Some of these rules, and consequences for not following them, are unpleasant. But, they are in place to make sure that all students are evaluated as fairly as possible. You will be required to acknowledge (on Moodle) that you have read, and agree to following, these rules. Failure to do so will result in grades of zero in all items until you acknowledge. Once you have acknowledged, then you can begin to earn non-zero grades GOING FORWARD, but previous zeroes (those which you received before acknowledging) are irreversible. If you do not agree to follow these rules, you must drop the course. DISCLAIMER #1: TIME ZONE All dates and times mentioned in this document, or in any other communication I make with you this semester, are in the Atlantic Time Zone (the local time in Prince Edward Island, Canada). If you are physically in a different time zone, you must convert your time to Atlantic Time. As an example, suppose a test is to be completed from 6pm to 7pm and suppose you’re in Vancouver, which is 4 hours behind PEI. You would be required to do this test from 2pm to 3pm in your local time. This applies even if you would be required to complete quizzes, tests, or the final exam at strange hours in your locale, including overnight. Properly doing this conversion is important, as there are going to be certain times when you will be expected to be available (for example: tests and final exam). You must do the correct conversion yourself; I will not do the conversion for you. If you do not convert correctly, you will miss the time window for when the work is to be completed and a grade of zero will be recorded. This is irreversible – the excuse of not having correctly converted your time will not be permitted. If this applies to you, please visit the following website to convert your time zone to ours: https://www.timeanddate.com/worldclock/converter.html DISCLAIMER #2: COMPUTING REQUIREMENTS Due to the nature of online courses, you will be required to have a computer (PC or Mac, laptop or desktop; tablets/phones are NOT sufficient). It must be capable of viewing PDF documents and connecting to the internet. The Google Chrome and Firefox web browsers are the ones with best universal compatibility, so it is recommended to use one of those to access course content. Due to much of the content being delivered through videos, a fast and stable internet connection is REQUIRED. You must be able to watch a YouTube video on at least 720p resolution without buffering. If you cannot meet at least one of these computing requirements, then you should drop the course and take it when UPEI returns to in-person classes in a future semester. Although not necessary, it is also recommended that you have access to a printer. Without a printer, writing out the lecture notes (see “LECTURE NOTE TEMPLATES” later in this document) is going to take a little bit longer than without a printer, but still quite feasible. Finally, computer issues can come up from time to time. If everybody is having the same problem, then I will work to fix that problem as soon as possible and, if necessary, an extension on a due date may be given. However, I will not attempt to solve any issues you may have with your own computing equipment. If indeed you are having an issue that nobody else is having, you will need to be able to resolve that issue on your own. Extensions for missed work will NOT be granted for this reason. DISCLAIMER #3: COPYRIGHT ALL materials you receive or use during this course, including but not limited to, course notes, videos, assignments, quizzes, tests, practice problems/solutions, and final exam, whether electronic or not, are copyrighted. This means that you are not permitted to distribute or share these materials or portions of these materials in any way. You are also not permitted to post questions from any part of the course to any third-party forum, app or website (e.g. Chegg and similar) for any purpose. Violation of copyright laws is a federal offence. Matters such as this will be aggressively pursued and can result in academic dismissal, not to mention criminal prosecution. DISCLAIMER #4: PERMISSIONS DURING QUIZZES, TESTS, AND FINAL EXAM This applies when working on quizzes, tests, and the final exam (this does not apply to homework assignments). While you are working on these items, you are permitted to use the materials you received in this course ONLY (videos, notes, MyMathLab, and the textbook). You are NOT permitted to use any other resources, online or otherwise. Failure to abide by these rules constitutes a serious academic offence and students who violate any of these rules will be given an immediate grade of zero in the COURSE, along with a note placed on your permanent academic record. This applies even for a first offence – there will be no further warnings on this issue. DISCLAIMER #5: YOUR WORK AND COMMUNICATING WITH OTHERS Any work you submit, whether that be for a homework assignment, quiz, test, or the final exam, must be your work and only your work. While I do encourage you to discuss homework assignments with your friends, you are not permitted to work with or to communicate with anyone during the quizzes, tests, and final exam. The exception to this rule is that you are allowed to communicate with your instructor (me). Note that posting questions to forums (e.g. Chegg and similar), with the expectation of a reply, constitutes communication with someone other than your instructor and is therefore considered academic dishonesty. Whether or not you get a reply to your communication is irrelevant – simply the act of trying to communicate with a third party (other than your instructor) is already an academic offence and will be dealt with severely. Similarly, merely viewing unauthorized content while you are working on a quiz/test/final exam constitutes academic dishonesty. DISCLAIMER #6: MY COMMUNICATIONS WITH YOU Since this course is entirely online, I will be sending out frequent emails to the entire class through Moodle. The same content as in the email you receive will also be posted in the announcements area of our course Moodle page. Moodle is the only place where I will post, and email, course announcements, so checking your email and/or the Moodle announcements page daily is required (no other forum will be used). I will assume that you have read and understood any information I communicate to you using this method. This information could include any number of topics, including due dates or amendments to due dates. Missing work because you did not see or read the announcement is not an acceptable excuse, and therefore a grade of zero will be recorded and will not be reversed. I will always email the Moodle announcements to you, but don’t rely solely on your email – always check the Moodle announcements page to make sure you are up to date. It is possible that the email itself may end up in your “junk” folder and hence, you might not see it. You are responsible for all announcements, whether they reach your email inbox or not, because they are all visible on the Moodle announcements page. DISCLAIMER #7: WHEN YOU MUST BE AVAILABLE TO DO QUIZZES AND TESTS Although this course is online, there are strict times when you will be able to work on quizzes, tests, and the final exam. The precise times are outlined in a course schedule posted on Moodle and MyMathLab (the same schedule is in both places). They are a subset of the original scheduled times of this course: M/W/F 9:30-10:20 am and W 3:30-4:20 pm. That sounds a lot worse than it is! After all, those times were originally for both in-person lectures AND quizzes/tests. Since lectures are now all in video format (online, obviously) and you can watch those whenever you like, it will usually only be 1 to 2 hours ONCE A WEEK when you would be required to be working on a test or to participate in extra help sessions (see the mentioned schedule). The times listed on the schedule are non-negotiable. If you cannot do the required work during those times, you must drop the course. Now, with all the unpleasantries out of the way, let’s talk about the course itself! TEXTBOOK 1. Single Variable Calculus, Early Transcendentals, Third Edition OR 2. Calculus, Early Transcendentals, Third Edition. Both versions are by Briggs and Cochran. You must buy this particular (3rd) edition, as your assignments will be taken from it. Do NOT buy the first or second edition. You have four options for obtaining this book. You only need to buy ONE of the following options. All are available at the bookstore. Do NOT buy this book from anywhere other than the UPEI bookstore (and hence, do NOT buy a used copy), because an access code is required for the online MyMathLab component (more on this later). Option Single Variable Early Transcendentals Soft-cover What you get Smaller book, online book, access to MyMathLab Approximate $120 cost Courses it’s 1910, 1920 used for Early Transcendentals Hard-cover Early Transcendentals Loose-leaf Access Card Larger book, online book, access to MyMathLab $200 Larger book (unbound), online book, access to MyMathLab $130 Online book only, access to MyMathLab 1910, 1920, 2910 1910, 1920, 2910 1910, 1920, 2910 $100 Note: You should register for MyMathLab as soon as possible. Individual issues in registration will NOT be accepted as a reason for missing due dates. LECTURES & TUTORIALS Here is the information regarding lecture and tutorial schedules. • Lectures: Now that this is an online course, all lectures will be presented through prerecorded video on YouTube and you can choose when you watch them, any time day or night (bearing in mind, of course, which topics are going to be involved in each assignment, quiz or test – you need to have watched those videos beforehand). • Tutorials: Although you must register for any of the sections of the Tutorial (Math 1910T), we will generally not be making use of them due to the nature of the online format of the course (which does not fit in well with how tutorials are administered). We do, however, assume you’re available during the time slot of the tutorial you’re registered in, in case we decide to make use of it for another reason. Thus, you can assume that tutorial slots won’t be used unless you are told otherwise. COURSE SCHEDULE A precise schedule for all due dates for assignments, or times when you must work on quizzes and tests, is posted both on Moodle and MyMathLab (it’s the same schedule in each location). It also contains suggested deadlines for watching each video, so that you keep up with the course material. • Homework assignments typically will be made available on Fridays (except the first Friday of “classes”) and due the following Friday. They will not have a time limit and you can work on them whenever you like before they are due. You can do the assignment all at once, or you can do a few questions and log out and come back later if you wish (your work is saved automatically every time you click “check answer”). When a homework assignment expires, a new one will be posted, again due the following week. You will usually have 3 attempts at each question and feedback is immediate. You cannot work on a homework assignment that has passed its due date. • Quizzes: There will be one quiz every week (except the first week of “classes”) and you can work on them any time until they are due. The difference between an assignment and a quiz is that although you can start a quiz any time during the week, once you start a quiz, you will have only 30 minutes to finish. Think of this as having an in-person quiz – you will NOT have the option of leaving and coming back to it later. Also, unlike assignments, in a quiz you will get only one chance at each question and you will not know if your answer is correct before moving to the next question. • Tests will have the same regulations as quizzes but will contain more material. Typically, you’ll have 50-minutes to do the tests. You will get only one chance at each question and you will not know if your answer is correct before moving to the next question. • The videos have suggested deadlines for when they should be watched to help you keep up with the course material. Subsequent homework assignments, quizzes and tests will be based on the videos that had watch dates that are before the due dates of these items. You however have complete freedom to watch these videos whenever you like, multiple times if you need to do so. • The final exam is discussed later in this outline but will work like the quizzes and tests. It is your responsibility to watch the videos in time to complete the homework assignments, quizzes, and tests. Extensions on due dates will not be given for homework assignments and alternate times to complete quizzes and tests will also not be given. PREREQUISITE KNOWLEDGE You are required to have passed grade 12 academic mathematics (math 621A in PEI). Normally there is also an assessment test which tests your knowledge of pre-calculus covered in high school. However, due to the pandemic, this test is cancelled this year so nobody has to write it. Please see the second-last page of this outline for information on what you can do to prepare for this course to ensure success. COURSE CONTENT This is a very fast – paced course, and as such, Chapter 1 (grade 12 review) is skipped entirely (but its contents are considered necessary prerequisite knowledge from high school). Therefore, we begin the course with Chapter 2 and introduce the basic idea behind all of calculus called a limit. We then use limits in finding rates of change and derivatives, which we then apply to various problems such as optimization. Finally, we look at antiderivatives and the fundamental theorem of calculus. This corresponds to the majority of chapters 2, 3, 4, and 5 of the textbook. Note: If you have taken math 611 in PEI (or an equivalent grade 12 calculus course outside this province), you have likely already covered most of these topics, though we’ll be going through them faster. COURSE WEBSITE (MyMathLab) www.pearsonmylab.com We will be using MyMathLab extensively this semester for electronic homework submission, doing quizzes, tests, and the final exam, links to the video lectures, and for distribution of handout material (your course notes). Also, your assignment, quiz, test, and final exam marks will be posted on this website and you can view them by clicking the GRADEBOOK. Note that this website is NOT Moodle. The only thing I will use Moodle for is to post important announcements and to get you to acknowledge that you have read the disclaimers, as previously discussed. All other aspects of the course will be handled through the MyMathLab course website. Details of how to sign up for MyMathLab are on the last page of this outline. GRADING SYSTEM Homework Assignments*: Weekly Quizzes: Chapter tests: Final Exam: 15% TOTAL 20% TOTAL 10%, 15%, and 15% for the 1st, 2nd, and 3rd tests respectively 25% *Note: Credit will not be given for homework assignments if you do not obtain a combined passing grade in the quizzes, tests, and final exam (i.e. a minimum of 42.5 out of 85, weighted as shown above). LECTURE VIDEOS As this course is entirely online, lectures will be delivered by pre-recorded video through the YouTube platform. Each section of the lecture notes (see “LECTURE NOTE TEMPLATES” below) corresponds to exactly one video. Some sections are short, meaning some videos are short. But some sections are long, meaning some videos are long. Links to the videos for each section are posted under the LECTURE VIDEOS button on the left-side menu of MyMathLab and also they are posted on Moodle. Videos are recorded at 1080p (full HD) resolution. If your internet connection cannot play these videos without buffering, you should lower the resolution within the YouTube player to 720p (or even less). See the YouTube documentation for how to change the resolution settings (Google it!). However, going to less than 720p could cause some words to become difficult, if not impossible, to read on a standard computer monitor, and you may be forced to watch these videos on a small device, such as your phone, to be able to read the words clearly. LECTURE NOTE TEMPLATES Templates for the lecture notes used in the videos are posted on MyMathLab under the LECTURE NOTES button from the menu on the left-side. You will notice that these notes are identical to the ones in the videos, but they do not contain answers to the examples. The answers to the examples and theory in these notes are done in the lecture videos. The completed notes (with solutions done in the videos) will NEVER be posted online under any circumstances. YOU must print out these lecture notes and then watch the videos and write out the solutions yourself. The reason for this is that research shows a STRONG correlation between writing notes by hand and understanding and retention of the concepts. Simply taking pictures of notes or only watching a video does VERY LITTLE in those regards. Therefore, print the blank templates and then WRITE OUT THE NOTES YOU SEE IN THE VIDEOS! If you do not have access to a printer, you can still write the notes on your own loose-leaf paper. This is why having a printer is recommended, but not necessary. ONLINE HOMEWORK ASSIGNMENTS Homework assignments will be given regularly and are to be completed and submitted online through the MyMathLab system. They are accessed via the “Homework Assignments, Quizzes, and Tests” button on the left-side menu. Late assignments will not be accepted. For their specific due dates, see the schedule posted on this course’s MyMathLab page or Moodle (dates are subject to change). Usually, you will have to work it out on paper first (NOT to be submitted), then submit the final answer online for the system to grade. Intermediate work does NOT have to be shown and feedback is immediate by clicking “Check Answer” while doing the assignment. Travel / vacation / work commitments will NOT be accepted as an excuse for not submitting an assignment on time. QUIZZES & TUTORIALS Since we’re not having in-person classes, there will be no formal tutorial, as previously mentioned. However, a sheet of practice problems for each quiz (the “pre-quiz”) will be provided. Each week I will post this worksheet along with a solution video. The actual quiz, done on MyMathLab, will be VERY similar to these practice questions. On MyMathLab these quizzes are accessed via the “Homework Assignments, Quizzes, and Tests” button on the left-side menu. Quizzes are every week beginning the week of Sept. 21. Quizzes will be available for a full week, but once you start a quiz you will have only 30 minutes to finish. See the schedule for the exact times of availability of each quiz. Travel / vacation / work commitments will NOT be accepted as an excuse for not submitting a quiz on time. TESTS There will be three larger tests this term. The tests will be done on MyMathLab, just like the quizzes and homework assignments under the “Homework Assignments, Quizzes, and Tests” button on the left-side menu. The tests will cover a broader range of material than on the quizzes, and each will have a 50-minute time limit. Tests will be given in 2 disconnected parts, each lasting 25 minutes over this 50-minute time period, for a total of 50 minutes of actual test time. Doing the posted practice problems is an excellent way to study! There is NO pre-test practice like on the quizzes, but I will make myself available via Google Meet to answer your questions live. See the schedule for the dates and times of the live session and the tests. Travel / vacation / work commitments will NOT be accepted as an excuse for not submitting a test on time. PRACTICE PROBLEMS AND QUIZ / TEST INFORMATION Click the “Quizzes and Tests: Information, Practice Problems, and Solutions” button on the MyMathLab left-side menu to access practice problems and to see information about upcoming quizzes and tests. Immediately available are practice problem sets as well as their fully worked solutions for each chapter of the course. In addition, the specific practice problems for quizzes (the pre-quizzes) will be posted there as the semester progresses. Specific information about each quiz and test will be posted there as the information becomes relevant. I will alert you via a Moodle email / announcement when new content is available. MISSED WORK Any work that you miss will automatically be given a grade of 0. This includes failing to submit homework, quizzes, tests, and the final exam on time. The only exception to this rule is for illness. No make – up assignments, quizzes or tests will be given. If you miss one of these items and provide a suitable reason for missing this work, its value will be added to your final exam. Personal commitments (including but not limited to travel, vacation, and work commitments) will NOT be accepted as an excuse for not submitting an assignment, quiz, test, or final exam on time. For cases of illness during the final exam, you will receive an incomplete in the course and write a regular closed-book, inperson final exam when the university re-opens. ACADEMIC DISHONESTY There is a zero-tolerance policy regarding issues of academic dishonesty (see the disclaimers at the beginning of this document). In addition to those disclaimers, you are required to read and be familiar with all of UPEI’s academic regulations, including those regarding academic integrity, which can be viewed at the following website: https://pressbooks.library.upei.ca/calendar/chapter/undergraduate-and-professional-programs-academic-regulations/ EXTRA HELP I am available for extra help as previously mentioned. Please feel free to email me and ask questions on the material you did not understand or for a hint on the homework. If necessary, I would be happy to set up a personalized virtual meeting through Google Meet. Your questions must be specific; simply saying “I don’t understand anything” will get you nowhere! You must put in the effort yourself first. The questions can be on things like a particular part of a video or a certain step that eludes you in a homework problem. Note that I will ask you some questions to get a sense of how much you tried the problem yourself. If you haven’t, I will direct you to try it yourself and, in your next communication with me, to reference what part(s) of a video and what page(s) of the notes you have looked at for a similar question, or for definitions and/or theory. FINAL EXAM The final exam will be done on MyMathLab sometime over the final exam period (it will be scheduled by the Registrar at a later date). The final exam will be given in six separate parts, each of 30 minutes duration. Further details will be given near the end of term. The final exam will, as all other items, be accessible via the “Homework Assignments, Quizzes, and Tests” button. The only acceptable excuse for not completing the exam on the date and time scheduled is for illness (proof is required and must be forwarded to myself, the associate dean of the School of Mathematical and Computational Sciences, and the Registrar’s office). The final exam will last 3 hours and will cover the entire term’s work. Travel / vacation / work commitments will NOT be accepted as an excuse for not submitting the final exam on time. For cases of illness during the final exam, you will receive an incomplete in the course and write a regular closed-book, in-person exam when the university re-opens. SUCCEEDING IN THIS COURSE BY FOLLOWING Math 1910R SIMULTANEOUSLY As previously mentioned, there is normally an assessment test requirement for this course. Due to COVID-19 restrictions, that test is cancelled for this year. You can (optionally, but strongly recommended) take a practice online assessment at http://www.smcs.upei.ca/help/mhc/assessGen/displayTest.php (note that the results of this test aren’t recorded and hence, is only a tool for your own personal assessment of your readiness for this course). Additionally, I have set up a complete pre-calculus course, called Math 1910R - Pre-Calculus Mathematics (the R means “review”), which you should also be registered for automatically. You should see this in your Moodle course list for this fall (if you do not see it, let me know). It contains a complete set of videos and course notes for pre-calculus material which is necessary for success in this course. Following this Math 1910R course is OPTIONAL, but remember, it is assumed that its contents are ALREADY KNOWN to you even before you start the first day of classes! It is being provided as a refresher IN CASE YOU FEEL YOU NEED IT. If you wish to use this course, please email me as there will be a set of accompanying MyMathLab practice assignments. Note that if you do decide to work along in this course, any grades obtained in it do NOT count towards your grade in Math 1910. (See next page for instructions on signing up for MyMathLab) SIGNING UP FOR MyMathLab ***NOTE: You must do this IMMEDIATELY! I will not accept late work due to individual registration issues!*** 1. Before you begin, you will need the following: a. Your valid email address (use your UPEI email address). b. Your access code (you get this with your book/e-book card from the bookstore. You will NOT need this if you used MyMathLab with this same book before, but you will most likely need this). c. Your course ID (type this in EXACTLY as you see it; NO capital letters and no spaces): gulati17108 2. Go to the course website at www.pearsonmylab.com 3. On the right you will see REGISTER. In that area, click STUDENT. You will then be brought to a screen that reminds you that you will need your email address, course ID, and access code (you’ll only need the access code if you haven’t used this book before, but EVERYONE will need the course ID from 1(c) above). Click “Ok! Register now”. 4. Enter the course ID given in part 1(c) above and click CONTINUE. You will see the course title and section (Math 1910-3, J. Gulati, Fall 2020), and my name in a box on the right. If it doesn’t look correct to you, contact me immediately. 5. If you already have an account, you can sign in and follow the instructions (and you can ignore steps 6 onward below). If you do NOT have an account (most likely case), then click CREATE AN ACCOUNT, and follow the on-screen instructions. 6. The system will now ask you for the following information: a. Email address: Use your UPEI email address. b. Username: Use your email address as your username (use it in its entirety, including the @ symbol). Don’t worry – nobody other than me can see this information. c. Password: Create a password that complies with the rules for security given at the right side of the page. d. First and last names: Enter these EXACTLY AS THEY APPEAR ON YOUR UPEI STUDENT ID CARD. Do NOT put any middle initials and DO NOT use nicknames. e. Security question and answer: These are just in case you forget your username or password. Enter whatever you wish in these areas. 7. Check the box “I accept the license agreement” and click CREATE AN ACCOUNT. 8. If you purchased a new book or card from the bookstore, click ACCESS CODE and enter your access code in the spaces provided (the one you received with your book/card), then click NEXT. Alternatively, you can pay by credit card, or click the 14 day free trial listed below these other two options. 9. Once your registration is complete, you will see a confirmation page. (continued next page) Using MyMathLab: 1. Go to www.pearsonmylab.com and sign in with your username and password. 2. You will see your course(s) in a list (Math 1910 will be listed there). 3. Click the course name, and you are now at the main course page. The main menu (the “left-side menu” that I’ve referred to many times in this document) is, not surprisingly, on the left. If you have any questions at any time during the course, please feel free to contact me. My email address is at the top of the first page of this document. I hope you enjoy the course!