Calculus 1 - Summer 2006

COURSE: MATH 1910-010

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

PLACE: Room 313 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: www.etsu.edu/math/gardner/gardner.htm (see my webpage for a copy of this course syllabus and updates for the course).

ASSISTANT: Jason Lachniet
OFFICE: Math Lab
OFFICE HOURS: TBA

TEXT: Thomas' Calculus, 11th edition, based on the original work by G. Thomas, as revised by R. Finney, M. Weir and F. Giordano.

SAMPLE TESTS: Copies of old tests, along with solutions, are available through the reserve desk of the Sherrod Library. They can also be accessed over the internet. Go to the Voyager Library Catalog and click on "Simple Search." Then select "Course Reserve Search" and select my name from the "Instructor List." Perform the search, click on the title of the solution set of interest, and then you will be allowed access to a PDF copy of the document.

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://www.etsu.edu/math/gardner/1910/notes.htm
Hard copies will also be on reserve in the library.

ADDITIONAL RESOURCES: Instructor's Solution Manual, Part One by W. Ardis, J.E. Borzellino, L. Buchanan, A.T. Mogill, P. Nelson contains worked-out solutions for all exercises in the text. Answer Book by by W. Ardis, J.E. Borzellino, L. Buchanan, A.T. Mogill, P. Nelson contains short answers to most exercises in the text. Student Outline, Part One by J.E. Borzellino and P. Nelson, is a study guide which summarizes some of the course information. Student's Solution Manual, Part One by W. Ardis, J.E. Borzellino, L. Buchanan, A.T. Mogill, P. Nelson 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 library.

GRAPHING CALCULATORS: "The designated calculator for Calculus I and II will be the TI89. The TI92 is also suitable'' [Schedule of Classes Bulletin, Summer 2006, ETSU, p. 55].


TI 89

TI 92
You may use the calculator for each test, but you will be required to show all work for the tests and if you rely on the calculator for solutions, you will get zero credit. You are here to learn calculus and the calculator will 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: www.etsu.edu/math/gardner/1110/squareb.htm. You will also be given a handout on the application of the TI-89 in Calculus 1, a copy of which is available online at: www.etsu.edu/math/gardner/1110/ti89.pdf.

NEW! I have the square bracket handout available online as two graphics files:

I also have an online version of problem 17 from page 275: Graphing Example.

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. Not only do you have the burden of learning calculus, but you must also deal with this graphing calculator. 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 gradewise) experience!

GRADING: Your grade will be determined by the average on four tests (T1 - T4). Your average is determined by

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 (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.

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! Hours of operation are TBA. The phone number is 439-7611. The Math Hotline is 439-7887 (for short questions).

ONLINE HELP: The Addison Wesley Longman Math Tutor Center is available online at www.aw-bc.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.

I have set up a Blackboard site for our class which will allow you to discuss things with each other (click on "Discussions" and a forum is present for each section we will cover). I will also post your grades on BlackBoard. To log in, go to: https://blackboard.etsu.edu/index.html.

WEB SITE: The Thomas' Calculus web site provides the expanded historical biographies and essays referenced in the text. Also available is a collection of Maple and Mathematica modules that can be used as projects by individual students or groups of students. The address is www.aw-bc.com/thomas.

IMPORTANT DATES:

Course Outline

TENTATIVE OUTLINE: We will try to adhere to the following schedule. "EOO" means Every Other Odd (that is, 1, 5, 9, 13, etc.).

DATE
AGENDA
HOMEWORK
MON 6/5a
2.1 = Rates of Change and Limits
2.2 = Calculating Limits Using the Limit Laws
2.1 = 1-33(EOO)
2.2 = 1-57 (EOO)
MON 6/5b
2.3 = The Precise Definition of Limit
2.3 = 1-57 (EOO)
TUE 6/6
2.4 = One-Sided Limits and Limits at Infinity
2.4 = 1-77 (EOO)
WED 6/7a
2.5 = Infinite Limits and Vertical Asymptots
2.5 = 1-53 (EOO)
WED 6/7b
2.6 = Continuity
2.6 = 1-37, 45-61 (EOO)
THR 6/8
2.7 = Tangents and Derivatives
3.1 = The Derivative as a Function
2.7 = 1-33 (EOO)
3.1 = 1-57 (EOO)
FRI 6/9
3.2 = Differentiation Rules
3.2 = 1-53 (EOO)
MON 6/12a
Review
-
MON 6/12b
Test 1 (2.1-2.7)
-
TUE 6/13
3.3 = The Derivative as a Rate of Change
3.3 = 1-29 (EOO)
WED 6/14a
3.4 = Derivatives of Trig Functions
3.4 = 1-49 (EOO)
WED 6/14b
3.5 = The Chain Rule and Parametric Equations
3.5 = 1-101 (EOO)
THR 6/15
3.6 = Implicit Differentiation
3.6 = 1-69 (EOO)
FRI 6/16
3.7 = Related Rates
3.7 = 1-37 (EOO)
MON 6/19a
3.8 = Linearization and Differentials
3.8 = 1-57 (EOO)
MON 6/19b
4.1 = Extreme Values of Functions
4.1 = 1-69 (EOO)
TUE 6/20
4.2 = The Mean Value Theorem
4.2 = 1-49 (EOO)
WED 6/21a
4.3 = Monotone Functions and the Frist Derivative Test
4.3 = 1-47 (not T) (EOO)
WED 6/21b
Test 2 (3.1-3.8)
-
THR 6/22
4.4 = Concavity and Curve Sketching
4.4 = 1-81 (EOO)
FRI 6/23
4.5 = Applied Optimization Problems
4.5 = 1-57a, 61 (EOO)
MON 6/26a
4.6 = Indeterminant Forms and L'Hopital's Rule
4.7 = Newton's Method
4.6 = 1-33 (EOO)
4.7 = 1-9, 21, 29 (EOO)
MON 6/26b
4.8 = Antiderivatives
4.8 = 1-101 (EOO)
TUE 6/27
5.1 = Estimating with Finite Sums
5.2 = Sigma Notation and Limits of Finite Sums
5.1 = 1-21 (EOO)
5.2 = 1-37 (EOO)
WED 6/28a
5.3 = The Definite Integral
5.3 = 1-81 (EOO)
WED 6/28b
Test 3 (4.1-4.8)
-
THR 6/29
5.4 = The Fundamental Theorem of Calculus
5.4 = 1-65 (EOO)
FRI 6/30
5.5 = Indefinite Integrals and the Substitution Rule
5.6 = Substitution and Area Between Curves
5.5 = 1-61 (EOO)
5.6 = 1-89 (EOO)
MON 7/3a
6.1 = Volumes by Slicing and Rotation About an Axis
6.1 = 1-57b (EOO)
MON 7/3b
6.2 = Volumes of Cylindrical Shells
6.2 = 1-33 (EOO)
TUE 7/4
INDEPENDENCE DAY HOLIDAY
-
WED 7/5a
6.3 = Lengths of Plane Curves
6.3 = 1-29 (EOO)
WED 7/5b
6.4 = Moments and Centers of Mass
6.4 = 1-41 (EOO)
THR 7/6
Review
-
FRI 7/7
Test 4 (5.1-6.4)
!

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