Bob Gardner's Calculus 1, Summer 2013

Calculus 1 - Summer 2013

COURSE: MATH 1910-010

TIME: 8:15-9:30 MW and 9:40-11:10 MTWRF

PLACE: Room 314 of Gilbreath Hall (8:15-9:30) and Room 314 of Gilbreath Hall (9:40-11:10)

INSTRUCTOR: Dr. Robert Gardner

OFFICE: Room 308F of Gilbreath Hall

OFFICE HOURS: By appointment

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 and updates for the course).

ASSISTANT: Benedict Adjogah, OFFICE: CFAA, OFFICE HOURS: Monday 10:00-11:00, 1:00-6:00; Tuesday 1:00-3:00

TEXT: Thomas' Calculus, Early Transcendentals, 12th edition, based on the original work by G. Thomas, as revised by M. Weir and J. Hass.

SAMPLE TESTS: Copies of old tests, along with solutions, are available from:

http://faculty.etsu.edu/gardnerr/1910/Test Solutions/test-solutions.htm

Solutions to this semester's tests are available:

Test 1

Test 2

Test 3

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 in 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.

CALCULATORS: You may use a calculator for each test, but you will be required to show all work for the tests and if you rely on a sophisticated graphing calculator for solutions, you will get zero credit. You are here to learn calculus and the calculator may be used only as an aid. Whenever calculating derivatives, I will require that you use my "square brackets" notation. A handout will be given which illustrates this method and a version can be found online at:

http://faculty.etsu.edu/gardnerr/1920/square-brackets.pdf. A handout on the application of the TI-89 in Calculus 1 is available online at: http://faculty.etsu.edu/gardnerr/1110/ti89.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!

GRADING: Your grade will be determined by the average on three tests (T₁-T₃). Your average is determined by

AVERAGE = (T₁ + T₂ + T₃)/3. Grades will be assigned based on a 10 point scale with "plus" and "minus" grades being assigned as appropriate (based on grade points assigned by the university, on a plus/minus 3 point system). There are no options for extra credit and the only way to earn bonus points will be provided on the four tests. Any questions about how a test was graded should be addressed within one week of the return of the graded test. These policies are nonnegotiable.

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. For more information, call 439-7848 or go to

http://www.etsu.edu/academicaffairs/cfaa.

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 and each test. 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_08_27_2012.pdf.

IMPORTANT DATES: Official dates are online at:

http://www.etsu.edu/etsu/academicdates.aspx
Wednesday, June 12 = Last day to register or add without departmental permit.
Thursday, June 13 = Last day to drop without a grade of "W."
Friday, June 14 = Last day to drop without Dean's permission.
Wednesday, June 19 = Test 1 (2.1-3.2).
Thursday, June 27 = Last day to drop a course with a "W" grade without dean's permission.
Monday, July 1 = Test 2 (3.3-4.4).
Thursday, July 4 = Independence Day holiday.
Wednesday, July 10 = Last day to withdraw from the university and last day to drop with dean's approval and extenuating circumstances (by 4:30 pm EST).
Friday, July 12 = Last day of class and Test 3 (4.5-5.6).

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.

DATE	AGENDA	HOMEWORK
MON 6/10a	INTRO, 2.1 = Rates of Change and Tangents to Curves	2.1 (p. 63) = 1-13, 21 (EOO)
MON 6/10b	2.2 = Limits of a Function and Limit Laws	2.2 (p. 73) = 1-41, 53-65a, 81 (EOO)
TUE 6/11	2.3 = The Precise Definition of Limit	2.3 (p. 82) = 1-57 (EOO)
WED 6/12a	2.4 = One-Sided Limits	2.4 (p. 90) = 1-49 (EOO)
WED 6/12b	2.5 = Continuity	2.5 (p. 101) = 1-65 (EOO)
THR 6/13	2.6 = Limits Involving Infinity; Asymptotes of Graphs	2.6 (p. 114) = 1-101 (EOO)
FRI 6/14	2.6 (cont.), 3.1 = Tangents and the Derivative at a Point	3.1 (p. 125) = 1-45a (EOO)
MON 6/17a	3.2 = The Derivative as a Function	3.2 (p. 131) = 1-57 (EOO)
MON 6/17b	3.3 = Differentiation Rules	3.3 (p. 143) = 1-77, not 65b,c (EOO)
TUE 6/18	Review	-
WED 6/19	Test 1 (2.1-3.2)	-
THR 6/20	3.4 = The Derivative as a Rate of Change	3.4 (p. 152) = 1-29 (EOO)
FRI 6/21	3.5 = Derivatives of Trigonometric Functions 3.6 = The Chain Rule	3.5 (p. 159) = 1-61 (EOO) 3.6 (p. 167) = 1-101 (EOO)
MON 6/24a	3.7 = Implicit Differentiation 3.8 = Derivatives of Inverse Functions and Logarithms (omit logs and exponentials base a)	3.7 (p. 174) = 1-49 (EOO) 3.8 (p. 184) = 1-97 (EOO)
MON 6/24b	3.9 = Inverse Trigonometric Functions	3.9 (p. 191) = 1-53 (EOO)
TUE 6/25	3.10 = Related Rates 3.11 = Linearization and Differentials 4.1 = Extreme Values of Functions	3.10 (p. 197) = 1-41 (EOO) 3.11 (p. 210) = 1-61 (EOO) 4.1 (p. 227) = 1-81 (EOO)
WED 6/26a	4.2 = The Mean Value Theorem	4.2 (p. 236) = 1-77 (EOO)
WED 6.26b	4.3 = Monotone Functions and the First Derivative Test	4.3 (p. 241) = 1-85 (EOO)
THR 6/27	4.4 = Concavity and Curve Sketching	4.4 (p. 251) = 1-121 (EOO)
FRI 6/28	Review	-
MON 7/1	Test 2 (3.3-4.4)	-
TUE 7/2	4.5 = Indeterminate Forms and L'Hopital's Rule	4.5 (p. 261) = 1-77 (EOO)
WED 7/3a	4.6 = Applied Optimization	4.6 (p. 268) = 1-45, not 17, 21b (EOO)
WED 7/3b	4.6, 4.7 = Newton's Method Gateway Exam	4.7 (p. 277) = 1-11 (EOO)
THR 7/4	Independence Day Holiday	-
FRI 7/5	4.8 = Antiderivatives	4.8 (p. 285) = 1-125 (EOO)
MON 7/8a	5.1 = Area and Estimating with Finite Sums 5.2 = Sigma Notation and Limits of Finite Sums	5.1 (p. 304) = 1-21 (EOO) 5.2 (p. 312) = 1-45 (EOO)
MON 7/8b	5.3 = The Definite Integral	5.3 (p. 321) = 1-85 (EOO)
TUE 7/9	5.4 = The Fundamental Theorem of Calculus	5.4 (p. 333) = 1-81 (EOO)
WED 7/10a	5.5 = Indefinite Integrals and the Substitution Method	5.5 (p. 342) = 1-77 (EOO)
WED 7/10b	5.6 = Substitution and Area Between Curves	5.6 (p. 350) = 1-113 (EOO)
THR 7/11	Review	-
FRI 7/12	Test 3 (4.5-5.6)	!

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Last updated: June 30, 2013.