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COURSE: MATH 1910-088; Call # 80242
TIME AND PLACE: 9:20-10:15 MWF in Gilbreath 314, 8:40-9:35 T in Gilbreath 314 (8:15-9:35 on test days and discussion days)
INSTRUCTOR: Dr. Robert Gardner; OFFICE HOURS: 10:15-11:15 MWF
OFFICE: Room 308F of Gilbreath Hall
PHONE: 439-6979 (308F Gilbreath), Math Department Office 439-4349
E-MAIL: gardnerr@etsu.edu WEBPAGE: http://faculty.etsu.edu/gardnerr/gardner.htm (see my webpage for a copy of this course syllabus, copies of the classnotes in PDF and PostScript formats, and updates for the course).
TEXT: Thomas' Calculus, Early Transcendentals, 12th edition, by G. Thomas, M. Weir, and J. Hass (2010). Supplemental Honors Class Text: The Calculus Wars by J. Bardi.
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SAMPLE TESTS: Copies of old tests, along with solutions, are available through online reserve on the Sherrod Library website. Go to the ETSU Web Catalog (http://libraries.etsu.edu/), click the "Author" tab, under "In this library" use the pulldown menu to select "ETSU Sherrod Library Reserves." Enter "Gardner" in the "Look for" area and the select "Search." This will allow you access to PDF copies of sample tests. Be warned that many of the sample tests are from the standard non-honors-enhanced version of Calculus 1!
CLASS NOTES: We will use overheads for most of the lecture, except for problem solving and working examples. Copies of the overheads are on the web at: http://faculty.etsu.edu/gardnerr/1910/Notes-12E/notes.htm. It is strongly recommended that you get copies of the overheads before the material is covered in class. This will save you from writing down most notes in class and you can concentrate on listening and supplementing the notes with comments which you find relevant.
ADDITIONAL RESOURCES: Instructor's Solution Manual, Single Variable Calculus} by W. Ardis contains worked-out solutions for all exercises in the text. Student's Solution Manual, Single Variable Calculus by W. Ardis contains worked-out solutions to all odd-numbered exercises in the text. Just-in-Time Algebra and Trigonometry for Calculus by G. Mueller and R.I. Brent contains a review of algebra and trig needed for calculus. A copy of each of these additional resources will be on reserve at the Sherrod Library.
PREREQUISITES: As the ETSU catalog states, the prerequisites for this class are either two years of high school algebra and one year of plane geometry or Precalculus (MATH 1720). You must be familiar with the behavior of functions, their domains, their compositions, and piecewise defined functions. Additionally, you must either be an honors scholar or an honors-in-discipline math major.
GRAPHING CALCULATORS: This is a math class which will illustrate mathematical concepts, not a physics, engineering, or accounting class. Therefore, there will be little to no need for calculators. During lectures when (in the rare event) a messy computation must be processed, I will use an online scientific calculator (such as the one available at http://www.calculator.com/calcs/calc_sci.html) or the scientific calculator built into Windows. If you are interested in using the TI-89 for Calculus 1 manipulations, then I have a handout on this topic at: http://faculty.etsu.edu/gardnerr/1110/ti89.pdf. Of course, the use of calculators on the tests is not allowed. Whenever calculating derivatives, I will require that you use my "square brackets" notation. A handout describing this is online in PDF form at http://faculty.etsu.edu/gardnerr/1920/square-brackets.pdf.
THE HONORS "CALCULUS WARS" PROJECT: We will read and discuss The Calculus Wars-Newton, Leibniz, and The Greatest Mathematical Clash of All Time by Jason Bardi. Class discussion will occur on Tuesdays between 8:15 and 8:40 (the specific days to be announced beforehand). Your participation in class discussions of the book is assumed. In addition, the class will be partitioned into groups of two or three students who choose a topic related to The Calculus Wars. The group will give a written report on the topic and a multimedia presentation. The written reports are due December 7 and the presentations will be given on December 9, at a time to be arranged. A group grade will be given with each member of the group getting the same grade.
Here's some resources concerning our discussions:
Here's an online copy of "The Early Mathematical Manuscripts of Leibniz". A copy of the first use of an integral sign in Leibniz's own writing (dated October 29, 1675) is available here.
Solutions to this semester's tests are available:
GRADING: Your grade will be determined by the average on four tests (T1-T4), the comprehensive final (F), and the "honors project" report and presentation (HP). Your average is determined by
THE FINAL: We will have a comprehensive final on Monday, December 12 from 8:00 a.m. to 10:00 a.m.
GATEWAY EXAM: You must pass a "Gateway Exam" to complete this course. I quote from the "Calculus 1 Gateway Exam" webpage (http://math.etsu.edu/calculus/gate1ann.htm): "You cannot pass Calculus I, MATH 1910 until you pass the Gateway exam. Because we now require the powerful TI-89 calculator and encourage its use throughout calculus, Gateway exams in calculus have been established to insure that students are still developing pencil and paper computational skills. In Calculus I, Math 1910, the gateway exam covers limits and derivatives of polynomials, algebraic functions and trigonometric functions. Once implicit differentiation has been covered in Calculus I, you may take the gateway exam..." A NEW POLICY ON THE GATEWAY: To pass, you must get at least 2 of the 3 limit questions correct (these will be questions #1-3), and at least 5 of the 7 derivative questions correct (these will be questions #4-10)! If you do not pass the exam, you may retake the exam in the Testing Center. You can do so once per week only, and 4 times in the last week of classes (a total of 10 times altogether).
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 http://www.etsu.edu/academicaffairs/cfaa for more information.
ONLINE HELP: The Addison Wesley Longman Math Tutor Center is available online at http://www.awl.com/tutorcenter. It provides assistance to students who take calculus and purchase a mathematics textbook published by Addison Wesley Longman. Help is provided via phone, fax, and e-mail. Students who use the service will be helped by tutors who are qualified mathematics instructors.
TEXT WEB SITE: The text web site (http://wps.aw.com/aw_thomas_calculus_series/) has (1) TI-Graphing Calculator Manual, (2) PowerPoint Lectures, (3) Expanded Biographies, and (4) Calculus Flashcards.
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: http://www.etsu.edu/academicaffairs/trio/sss/.
DESIRE2LEARN: I have created an extensive discussion list on the Desire2Learn ("elearn") website. There is a discussion forum for each section of the calculus book, each test, and the honors project. You can log in at: https://elearn.etsu.edu/. I will not likely post other material on Desire2Learn, but will simply post it directly on the internet.
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.) at: http://www.etsu.edu/reg/documents/PDF/Syllabus_Attachment.pdf.
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) then I think this can be a pleasant and rewarding (intellectually and grade-wise) experience!
IMPORTANT DATES:
Monday, September 5 = Labor Day Holiday.
Friday, September 9 = Last day for 75% refund of fees.
Friday, September 9 = Last day to drop without a grade of "W."
Tuesday, September 20 = Test 1 (1.1, 1.3, 1.5, 1.6, 2.1-2.6)
Friday, September 23 = Last day for 25% refund of fees.
Tuesday, October 11 = Test 2 (3.1-3.8)
Monday and Tuesday, October 17 and 18 = Fall Break Holiday.
Monday, October 24 = Last day to drop without dean's permission.
Tuesday, November 8 = Test 3 (3.9, 3.10, 3.11, 4.1-4.4)
Thursday and Friday, November 24 and 25 = Thanksgiving Holiday.
Tuesday, November 29 = Test 4 (4.5-4.8, 5.1-5.4)
Wednesday, December 7 = Last day to withdraw from the university.
Wednesday, December 7 = Honors written reports due.
Friday, December 9 = Last day of class.
Friday, December 9 = Honors multimedia presentations due.
Monday, December 12 = Comprehensive final, 8:00 a.m. to 10:00 a.m.
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 Tuesday.
2.1 = Rates of Change and Tangents to Curves | 2.1 (p. 63) = 1-13, 21 (EOO) | |
Calculus Wars: Chapters 4, 5 | ||
Calculus Wars: Chapters 8-10 | ||
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Last updated: October 25, 2011.