Analytic Geometry and Differential Calculus - Summer 1999

COURSE: MATH 1060-010

TIME: 11:20--12:50 MTWRF, PLACE: Room 313 of Gilbreath Hall

INSTRUCTOR: Dr. Robert Gardner, OFFICES: Rooms 308L and 308G of Gilbreath Hall, Room 201 of Brown Hall

OFFICE HOURS: TRF 9:30--10:30, MW by appointment

PHONE: 439-6978 (308L), 439-6977 (308G), 439-8684 (201), Math Office 439-4349

E-MAIL: gardnerr@etsu.edu, HOMEPAGE: www.etsu.edu/math/gardner/gardner.htm

PREREQUISITES: Two years of high school algebra and trigonometry, or the equivalent of MATH 1010 (College Algebra) and MATH 1040 (Precalculus). Any student who is not profficient in both algebra (including logarithms and expoential functions) and trigonometry should strongly consider MATH 1010 or 1040 before attempting this class.

TEXT: Technical Calculus with Analytic Geometry, Third Edition, by Peter Kuhfittig. The answer section contains answers to all odd numbered problems in the regular sections and all answers to the review exercises presented at the end of each chapter.

SUPPLEMENTARY TEXTS (each is on reserve in the library):

  1. Student Solutions Manual for Technical Calculus with Analytic Geometry by Peter Kuhfittig. This contains the worked solution to every other odd problem (eg. 1, 5, 9, 13, etc.).
  2. Instructor's Manual for Technical Calculus with Analytic Geometry by Peter Kuhfittig. This contains answers (but not worked soulutions) of even problems from sections of each chapter.
  3. Test Items for Technical Calculus with Analytic Geometry by Peter Kuhfittig. This contains additional problems for each chapter. No detailed solutions are presented, but answers are presented for most questions. The questions in this publication are a bit more difficult and time consuming and include fewer "simple drill problems."

CALCULATORS: No calculator is required for this course, although a scientific calculator will be quite useful on some of the homework. You will be allowed to use a calculator on all tests.

SAMPLE TESTS: You will be given a copy of a sample test a few days before each regular test. The solution to the sample test will be posted outside my office and will be on reserve in the library. I will also post the key to each test as well as put it on reserve in the library.

ABOUT THE CLASS: This course offers a nonrigorous and intuitive introduction to differential calculus with a brief review of college algebra. The intent of this class is to prepare the student for engineering technology classes and therefore will strongly emphasize applications. The tests will reflect this emphasis.

ABOUT YOUR RESPONSABILITY: Homework will be assigned daily. You will be assigned every other odd problem ("EOO") from each section covered. This will provide you with the ABSOLUTE MINIMUM of experience. If you expect a thorough understanding (and a good grade) you should plan to work many more problems. There are 1367 problems in the sections we will cover (including the useful chapter reviews). If you work all of these exercises, then you should have no problem with the class. The supplementary texts mentioned above give you access to the answers of all problems in the textbook and the Student Solutions Manual gives detailed solutions to the assigned homework problems. Please work hard and make this a pleasant experience. If you do not put any work into the class, you cannot expect to get anything out of it (including a good grade).

GRADING: We will have four tests (T1 - T4). Your average will be computed as follows:

AVERAGE = (T1+T2+T3+T4)/4.
Grades will be assigned based on a 10 point scale with "plus" and "minus" grades being assigned as appropriate. Make-up tests will be given only under the most EXTREME conditions.

MATH LAB: The Mathematics Laboratory is located in Rooms 308 and 309 of Warf-Pickle Hall. It is staffed by graduate students and upper level undergraduates. They are there to help you!

IMPORTANT DATES:

Tentative outline ("EOO" means Every Other Odd):

DATE AGENDA HOMEWORK
MON 6/7 1.1 = xy-plane, 1.2 = slope 1.1 = 1-21 EOO, 1.2 = 1-34 EOO
TUE 6/8 1.3 = lines, 1.4 curve sketching 1.3 = 1-41 EOO, 1.4 = 1-40 EOO
WED 6/9 1.4 (cont.), 1.6 = conics, 1.7 = circles 1.7 = 1-32 EOO
THR 6/10 1.8 = parabola, 1.9 = ellipse 1.8 = 1-42 EOO, 1.9 = 1-40 EOO
FRI 6/11 1.10 = hyperbola, 1.11 = axes translations 1.10 = 1-31 EOO, 1.11 = 1-33 EOO
MON 6/14 2.1 = functions, 2.2 = limits, review and homework review 2.1 = 1-36 EOO, 2.2 = 1-48 EOO
TUE 6/15 TEST 1 (1.1-1.11) -
WED 6/16 2.3, 2.4, 2.5 = derivatives 2.4 = 1-24 EOO, 2.5 = 1-23 EOO
THR 6/17 2.6 = rates, 2.7 = differentiation 2.6 = 1-29 EOO, 2.7 = 1-41 EOO
FRI 6/18 2.9 = implicit diff, 2.10 = higher derivs 2.9 = 1-29 EOO, 2.10 = 1-10 EOO
MON 6/21 3.1 = tangents, 3.2 = first derivative test, review and homework review 3.1 = 1-20 EOO, 3.2 = 1-20 EOO
TUE 6/22 TEST 2 (2.1-2.10) -
WED 6/23 3.2 (cont.), 3.3 = second derivative test 3.3 = 1-34 EOO
THR 6/24 3.5 = applications of extrema 3.5 = 1-38 EOO
FRI 6/25 3.5 (cont.), 3.6 = related rates 3.6 = 1-34 EOO
MON 6/28 3.6 = related rates -
TUE 6/29 3.6 (cont.), 3.7 differentials, review and homework review 3.7 = 1-18 EOO
WED 6/30 TEST 3 (3.1-3.7) -
THR 7/1 6.1 = trig review, 6.2 = deriv of sin and cos 6.1 = 1-98 EOO, 6.2 = 1-44 EOO
FRI 7/2 6.3 = more trig derivs, 6.4 = inverse trig 6.3 = 1--54 EOO, 6.4 = 1--43 EOO
MON 7/5 INDEPENDENCE DAY HOLIDAY -
TUE 7/6 6.5 = deriv of inverse trig, 6.6 = exp and log 6.5 = 1-39 EOO, 6.6 = 1-54 EOO
WED 7/7 6.7, 6.8 = derivative of log and exp 6.7 = 1-44 EOO, 6.8 = 1-42 EOO
THR 7/8 6.9 = L'Hopital's Rule 6.9 = 1-24 EOO
FRI 7/12 6.10 = applications, 6.11 = Newton's Method 6.10 = 1-31 EOO, 6.11 = 1-16 EOO
MON 7/12 Test 4 (6.1-6.11) -

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