COURSE: MATH 1910-901
INSTRUCTOR: Robert "Dr. Bob" Gardner, OFFICE: Room 308F of Gilbreath Hall
OFFICE HOURS: Through Zoom and by appointment, PHONE: 439-6979 (Math Department 439-4349)
E-MAIL: gardnerr@etsu.edu
WEBPAGE: Dr. Bob's webpage (with links to notes, videos, syllabi).
ASSISTANT: The graduate assistant for this class is Matthew Gladin. Mr. Gladin will grade your written work and will be available for online office hours Tuesdays and Thursdays 5:15-6:15 (see the D2L site for additional details). His e-mail is gladin@etsu.edu. Mr. Gladin may also be available for one-on-one help in the Center for Academic Achievement (CFAA) on Wednesdays from 10:30 to 3:30. Other qualified graduate students will also be available through the CFAA.
TEXT: Thomas' Calculus, Early Transcendentals, 14th edition, by George B. Thomas, Joel Hass, Christopher Heil, and Maurice Wier (Boston: Pearson, 2018). You will also need access to Pearson's MyLab Math.
PREREQUISITES: As the ETSU catalog states, the prerequisites for this class are "MATH 1720 [Precalculus II (Trigonometry)] with a grade of 'C' or higher or ACT-M (best Math) score of 27 or higher or SAT-M (best Math) score of 630 or higher." You must be familiar with the behavior of functions, their domains, their compositions, piecewise defined functions, exponential and logarithmic functions, and trigonometric and inverse trigonometric functions.
THIS SYLLABUS: A video describing this syllabus and the policies of the class is online here
MYLAB MATH: As described below, half of the homework assignments will be given through MyLab Math. MyLab Math is a service provided by Pearson, the publishers of the text book. You will sign into MyLab Math through D2L. There is a link on the right-hand side of the D2L "Course Home" page for the class; it has the Person logo and is labeled "Pearson MyLab and Mastering." The first time you enter the site you will need to deal with registering and/or paying for access. If you have already purchased access, you can enter your prepaid access code when go into the Pearson site. If you have not already purchased access, you can purchase it once you enter the Pearson site (I am told by the Pearson people that this is the cheapest option for access to MyLab; that is, to purchase access directly from Pearson). Once you have access to MyLab, you can start work on the MyLab Math homework problems that are available. Be aware of the due date for these homework assignments, since you cannot turn anything in after the deadline. Many of the exercises have a learning aid called "Help Me Solve This" that breaks the question down into smaller parts, step-by-step, that you can answer and get feedback. You don't get credit for that question when you use "Help Me Solve This" and MyLabMath will change the original question to a different, but similar, question. You are given immediate feedback after you answer each question. Answers are saved as you go through the problems, and you are allowed to come back and finish the remaining questions later. You can continue to work on a given assignment until the time it is due. Within MyLab Math, you can click on "Multimedia Library" for additional videos on the material (these videos are prepared by Pearson); there is also additional written material here. Under "Study Plan" you can access additional practice problems. You have access to a wealth of information! I recommend that you concentrate first on the textbook and the material which I prepared (the classnotes, supplements, worked textbook problems, and videos) then, if you have available time, you can look through the MyLab Math videos and practice problems... but whatever works best for you!
COMMENTS ABOUT AN ONLINE CLASS: A video has been prepared for each section which we will cover in this class. These videos replace the standard in-class lectures. Since this is a 4 credit hour class, we will cover an amount of material each week corresponding to about 4 hours of video (sometimes a little more, somtimes a little less). Links to the videos are available on my Online Calculus 1 with Videos webpage. It is your responsibility to watch these videos according to the class schedule given below. You can schedule your study time as best fits your schedule, but homework will be due Monday at noon (except on a test week when it will be due Friday at midnight) and test solutions will be due Monday at noon (except for the final; the due date for final solutions will be announced later). Do not wait until the last minute to try to watch the videos, read the notes, read the book, and do the homework! By taking an asynchronous class, you are taking on the responsibility of keeping up and working independently. If you think this is too much of a challenge or burden, then you should consider taking a traditional on-ground version of Calculus 1.
WARNINGS ABOUT THE VIDEOS: The videos are very fast-paced (and yet still long!). You should pause them as needed and try to absorb what is said and claimed in the videos; if necessary, rewind them and listen again. The videos very closely parallel the online class notes and supplements, so you also have access to a written version of much of the content of the videos. The material is hard and requires your full attention, so set aside time to devote exclusively to watching the videos (just like you would when attending the lectures in a traditional on-ground class).
CLASS NOTES: Links to the class notes and supplements covered in the videos are on my notes and supplements online webpage. You might find it useful to read the online notes and supplments before, during and/or after watching the videos. The online notes are thorough, but you should also read the text book, paying particular attention to the examples.
TEXTBOOK EXERCISES: The more problems you work, the better you will absorb the material. A list of "Textbook Exercises" is given in the schedule below. It is strongly suggested that you work a variety of these problems from each section (though these problems are not turned in nor are they a direct part of your grade). This will make you well-prepared to do the homework exercises that must be turned in. Links to PDFs of solutions to some of these exercises are available at Online Calculus 1, Solutions to Various Exercises. If you would like to see a particular problem from the book worked, then just e-mail me and I will write up a solution and post it there.
DESIRE2LEARN: You can access D2L at the Desire2Learn website. A Discussion Forum for each chapter (and a Topic on each section) is posted on D2L where you can discuss problems and ideas with your colleagues, me, or the graduate assistant; click on "Communication" and "Discussions" in D2L to access this. Your grades will be posted on D2L. The videos I have prepared are available outside of D2L.
CENTER FOR ACADEMIC ACHIEVEMENT: Located on the first floor of the Sherrod Library, the Center for Academic Achievement (CFAA) is the place to go for help with writing and speaking, library research, core math and science courses, and other subjects. The CFAA offers by-appointment, drop-in, and online services to help students reach their learning goals. In a friendly, comfortable atmosphere, students at all levels participate in interactive sessions to expand their knowledge, develop their academic skills, increase their confidence, and enhance their success. Students can choose to meet with tutors face-to-face in the CFAA or participate in live, online sessions via Zoom. Call 439-7848 or go to the Center for Academic Achievement webpage for more information.
TEXT WEB SITE: The website for our text book is provided by the publisher of the book and has ordering information (accessed 1/1/2022).
STUDENT SUPPORT SERVICES: Student Support Services provides free individual tutoring to qualified individuals through their NEXUS program. The criteria state that the student must be: (1) a first-Generation College student, meaning, neither of your natural parents has completed a four-year college degree, (2) income eligible, or (3) a student with a documented disability. For more details, see the Student Support Services webpage (accessed 1/1/2022).
GRADING: Your grade will be determined by the average on three tests (T1-T3) and homework (HW). Your average is determined by
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A NOTE ABOUT THE HOMEWORK: You will have two kinds of homework problems. Each week both types of problems will be assigned.
A NOTE ABOUT THE TESTS: The three tests will consist of two parts. There will be a timed MyLab Math part worth a total of 50 points. You will have two hours to complete this once you start. There will be a handwritten part with 50 points worth of questions. You will need to show your work on this part and write in complete sentences, like in the Handwritten Homework. For the handwritten part of each test you will write your solutions on paper and then submit scans of the papers (this is meant to simulate the in-class test taking format). You will need access to a scanner or digital camera in order to submit copies of your solutions to the tests. You will submit your solutions in D2L and there will be a deadline. Solutions in PDF are preferred, but if you have trouble with this then photographs of your solutions are acceptable.
THE FINAL: The final (or "Test 3") will be comprehensive, but will have more of an emphasis on the material of Chapter 5 (since this is covered on neither Test 1 nor Test 2). The final will be given during the week of May 2, 2022 and will be due Thursday May 5 at noon.
GATEWAY EXAM: You must take a "Gateway Exam" to complete this course. Gateway exams in calculus have been established to insure that students are developing "pencil and paper computational skills." The Calculus 1 (Math 1910) Gateway Exam covers limits and derivatives of polynomials, algebraic functions and trigonometric functions. Once implicit differentiation has been covered, you will take the exam. It will be posted on D2L during the 7th week of classes. Your score (out of 10) on the Gateway Exam will be added to your Test 1 score as bonus points. You will retake the exam during the week of finals (also through D2L). A sample Calculus 1 Gateway Exam is online.
ACADEMIC MISCONDUCT: While I encourage you to interact with me, Mr. Gladin, and your colleagues as your learn the material, I expect that the work you turn in through MyLabMath or D2L to be your own. If you get help from someone else on a test or the final then this is an example of academic misconduct. In this event, I will not hesitate to charge you with academic misconduct. A report and evidence is submitted to the office of the Dean of the College of Arts and Sciences. The report includes the penalty (such as being given a 0 on the relevant assignment) which is imposed. For more details (and links to related sources), see ETSU's "Academic Integrity @ ETSU" webpage (accessed 1/1/2022).
NOTE: Calculus is the "mathematics of motion." We will see many applications of the Calculus 1 material which involve motion and dynamics. Because of this connection with the physical sciences, calculus is one of the most applicable areas of mathematics. You will see many of the concepts in this class again if you take the Technical Physics sequence. This material is certainly not easy, though! You should plan on investing a great deal of time to this class, especially since it is an asynchronous online class. In addition to watching the videos (which replaces the traditional attendance of class and watching of lectures), you should practice the Textbook Exercises given below (which are not graded, but you have access to brief solutions of these problems in the back of the book). Once you are comfortable with those exercises, you should do the MyLab Math homework and the Handwritten Homework (which, together, are graded and determine your homework grade).
SYLLABUS ATTACHMENT: You can find an on-line version of the university's syllabus attachment (which contains general information concerning advisement, honor codes, dropping, etc.; last accessed 1/1/2022).
IMPORTANT DATES: DRAFT (see the official ETSU calendar for more details; accessed 1/1/2022):
SCHEDULE: In the Textbook Exercises, "EOO" means Every Other Odd (that is, 1, 5, 9, 13, etc.).
A.6 = Theory of the Real Numbers 2.1 = Rates of Change and Tangent Lines to Curves | A.6 = none 2.1 = 1-17, 25 (EOO) |
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2.3 = The Precise Definition of Limit |
2.3 = 1-57 (EOO) |
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2.5 = Continuity |
2.5 = 1-49, 57-69 (EOO) |
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3.1 = Tangents and the Derivative at a Point |
3.1 = 1-37 (EOO) |
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3.3 = Differentiation Rules 3.4 = The Derivative as a Rate of Change |
3.3 = 1-77 (EOO) 3.4 = 1-29 (EOO) |
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3.6 = The Chain Rule Test 1 (2.1-2.6, 3.1-3.6) |
Test 1 Due Monday 2/28 at noon |
3.6 = 1-113 (EOO) |
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3.8 = Derivatives of Inverse Functions and Logarithms |
Gateway Exam |
3.8 = 1-101 (EOO) |
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3.10 = Related Rates 3.11 = Linearization and Differentials |
3.10 = 1-41 (EOO) 3.11 = 1-65 (EOO) |
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4.2 = The Mean Value Theorem 4.3 = Monotonic Functions and the First Derivative Test |
4.2 = 1-77 (EOO) 4.3 = 1-89 (EOO; not technology problems) |
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4.5 = Indeterminate Forms and L'Hopital's Rule 4.6 = Applied Optimization |
4.5 = 77 (EOO) 4.6 = 1-13, 25-45, 57 (EOO) |
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4.7 = Newton's Method Test 2 (3.7-3.11, 4.1-4.7) |
Test 2 Due Monday 4/11 at noon |
4.7 = 1-29 (EOO) |
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5.1 = Area and Estimating with Finite Sums 5.2 = Sigma Notation and Limits of Finite Sums |
5.1 = 1-21 (EOO) 5.2 = 1-49 (EOO) |
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5.4 = Fundamental Theorem of Calculus |
5.4 = 1-85 (EOO) |
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5.6 = Definite Integral Substitutions and the Area Between Curves |
5.6 = 1-117 (EOO) |
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Last updated: April 17, 2022