COURSE: MATH 1910-940
TIME: MWF 10:25-11:20, R 10:10-11:05 (9:45-11:05 on test days), PLACE: Online through Zoom
INSTRUCTOR: Robert "Dr. Bob" Gardner, OFFICE: Room 308F of Gilbreath Hall
OFFICE HOURS: By appointment, PHONE: 439-6979 (Math Office 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 Gaffar Solihu. Mr. Solihu will grade part of the tests and will be available for online office hours at a time to be announced. His e-mail is solihu@etsu.edu. His office hours are MF 11:20-12:20. Contact him if you want to meet with him at that time. Another assistant, Kazeem Kosebinu, will also be involved in the grading of tests. Mr. Solihu and Mr. Kosebinu may also be available for one-on-one help in the Center for Academic Achievement (CFAA) at a time to be announced (tutoring is likely to be done online this semster). 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). Notice that you are not required to have the MyMathLab Online Course access code.
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, and piecewise defined functions.
COMMENTS ABOUT AN ONLINE CLASS: A video has been prepared for each section which we will cover in this class. You should watch the appropriate video before each class. During our formal class meetings, I will go through the notes again, but rather quickly since the detailed presentation is in the video. You can feel free to interupt during the lecture and I can address questions then. Links to the videos are available in two formats. Links to the versions of the videos as posted on Zoom are on the webpage with Zoom links. Links to the same videos, but posted on the ETSU faculty server, are on the webpage with ETSU server links. The only difference in these videos is that the Zoom videos have a transcript of the video synchonized with the video. The ETSU server videos have the videos in mp4 format with the transcript given separately as a text ("txt") file. Also, the Zoom videos are not under direct control by ETSU and may be deleted at some point in the future. These two webpages also contain links to the class notes.
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. (The transcripts for the videos are automatically generated and are sometimes only loosely correlated with what is being said! For example, variable r is often mis-transcribed as "are" or "our.")
CLASS NOTES: We will use digital notes for the component of the lecture consisting of definitions, statements of theorems, and examples. Marginal notes, additional examples, and further explanations will be given using handwritten notes and a document camera. Copies of the notes and supplements are online. You should read the online notes to be covered in class before each class (we will not have class time to cover every little detail in the online notes). Try to understand the definitions, the examples, and the meanings of the theorems. The online notes are thorough, but you should also read the text book, paying particular attention to the examples.
THE LECTURES: During class time, we will briefly look through the online notes and examples. The lectures will not be as nearly as detailed as the videos (which is why you must watch the videos to get all of the information from this course). This will free up time for working examples during class. Problems will be worked "by hand" on a sheet of paper which is under a document camera that records the work and inserts it into the Zoom presentation. Many Thursday class meetings will be devoted only to working problems (in the same format, with a document camera) and these classes will be run by the class assistant, Gaffar Solihu.
SOLUTIONS TO EXERCISES: Links to PDFs of solutions to exercises are available at Online Calculus 1, Solutions to Various Exercises. This includes the exercises worked in the online class.
TEST SOLUTIONS: The keys to the "in-class" tests are posted online:
DESIRE2LEARN: I will not rely much on the Desire2Learn ("D2L") 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. I will post your grades on D2L. Otherwise, all course information will be posted directly on the ETSU server (though I may use D2L to communicate directly with you, especially in the event of technical difficulties with internet connection or the ETSU server).
GRADING: Your grade will be determined by the average on five tests (T1-T5), and the comprehensive final (F). Your average is determined by
A NOTE ABOUT THE TESTS: Since this is an online class, the tests and final will be open book and open notes. However, you may not communicate with anyone else while taking the tests. The test questions will be similar to those in the book and the examples done in class, but they will not be exactly the same. Each regular test will consist of five numbered questions. As with the in-class examples, you will be required to show all steps (using the notation introduced in class), write in complete sentences, and often asked to justify the computations you perform; much of this justification will be done by quoting numbered (or named) theorems from the book and notes. 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: We will have a comprehensive final on Wednesday, December 9 from 8:00 a.m. to 10:00 a.m.
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 on October 8, 2020. Your score (out of 10) on the Gateway Exam will be added to your Test 3 score as bonus points. A sample Calculus 1 Gateway Exam is online.
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 center offers tutoring on a walk-in and appointment basis and is open during library hours, including nights and weekends. 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.
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.
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 in this class. If you allot an appropriate amount of time for your studies (at least 2 hours outside of class for each hour spent in class, not including watching videos) then I think this can be a pleasant and rewarding (intellectually and grade-wise) experience!
ACADEMIC MISCONDUCT: While I encourage you to collaborate with your colleagues on the homework problems, I expect that the work you turn in (in the form of your solutions to the tests and final) is your own and that you did not get help from someone else. If you get help 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 test) which is imposed. For more details (and links to related sources), see ETSU's "Academic Integrity @ ETSU" webpage (last accessed 8/5/2020).
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 8/5/2020).
IMPORTANT DATES: (see the official ETSU calendar for more details; accessed 8/5/2020):
TENTATIVE OUTLINE: We will try to adhere to the following schedule. "EOO" means Every Other Odd (that is, 1, 5, 9, 13, etc.). Notice that each regular test is scheduled for a Thursday.
A.6 = Theory of the Real Numbers 1.1 = Functions and Their Graphs | none 1.1 = 1-73 (EOO) |
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2.1 = Rates of Change and Tangent Lines to Curves | 2.1 = 1-17, 25 (EOO) |
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2.2 = Limit of a Function and Limit Laws | 2.2 = 1--65a, 77, 81 (EOO) |
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2.4 = One-Sided Limits | 2.4 = 1-53 (EOO) |
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A.4 = Proofs of Limit Theorems none 3.1 = Tangents and the Derivative at a Point 3.1 = 1-37 (EOO) 3.6 = The Chain Rule 3.6 = 1-113 (EOO) 3.7 = Implicit Differentiation 3.7 = 1-53 (EOO) 3.9 = Inverse Trigonometric Functions 3.9 = 1-57 (EOO) 3.11 = Linearization and Differentials 3.11 = 1-65 (EOO) A.2 = Mathematical Induction 5.3 = The Definite Integral - 5.3 = 1-85 (EOO) 5.4 = Fundamental Theorem of Calculus 5.4 = 1-85 (EOO) |
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Last updated: October 1, 2020