Calculus 1 - Summer 2009

COURSE: MATH 1910-010
TIME: 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: www.etsu.edu/math/gardner/gardner.htm (see my webpage for a copy of this course syllabus and updates for the course).

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 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.

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.

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.

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 and an honors-in-discipline math major.

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://www.etsu.edu/math/gardner/1920/square-brackets.pdf.
A handout on the application of the TI-89 in Calculus 1 is available online at:
http://www.etsu.edu/math/gardner/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. 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 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.

MATH LAB: The Mathematics Laboratory is located in Room 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: 11:00-4:00 M-F. The phone number is 439-7611.

ONLINE HELP: The Addison Wesley Longman Math Tutor Center is available online at http://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.

CD-ROM AND WEB SITE: The CD-ROM included with the text has several interactive features and tutorials. It includes video clips of real-world situations which provide motivation for learning and applying calculus. The text web site (http://www.awl.com/thomas) has the "Just-in-Time" Online Algebra and Trigonometry web-based testing and tutorial system which allows students to practice the algebra and trigonometry skills critical to mastering calculus. The Interactive Calculus Tutorial is an online tutorial which lets students review textbook-specific material by chapter through practice quizzes and diagnostic feedback on their performance. The Skill Mastery Quizzes are a collection of chapter-by-chapter quizzes on the web site which can be administered and graded online for skills-based mastery assessment.

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/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: http://elearn.etsu.edu/. I will not likely post other material on Desire2Learn, but will simply post it directly on the internet.

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 http://www.aw-bc.com/thomas.

IMPORTANT DATES:

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 6/8a
INTRO, 2.1 = Rates of Change and Limits
2.1 = 1-33(EOO)
MON 6/8b
2.2 = Calculating Limits Using the Limit Laws
2.2 = 1-57 (EOO)
TUE 6/9
2.2, 2.3 = The Precise Definition of Limit
2.3 = 1-57 (EOO)
WED 6/10
2.4 = One-Sided Limits and Limits at Infinity
2.4 = 1-77 (EOO)
THR 6/11
2.5 = Infinite Limits and Vertical Asymptotes
2.5 = 1-53 (EOO)
FRI 6/12
2.6 = Continuity
2.6 = 1-37, 45-61 (EOO)
MON 6/15a
2.7 = Tangents and Derivatives
3.1 = The Derivative as a Function
2.7 = 1-33 (EOO)
3.1 = 1-57 (EOO)
MON 6/15b
3.2 = Differentiation Rules
3.2 = 1-53 (EOO)
TUE 6/16
3.3 = The Derivative as a Rate of Change, Review
3.3 = 1-29 (EOO)
WED 6/17
Test 1 (2.1-3.1)
-
THR 6/18
3.4 = Derivatives as a Rate of Change
3.5 = The Chain Rule and Parametric Equations
3.4 = 1-49 (EOO)
3.5 = 1-101 (EOO)
FRI 6/19
3.6 = Implicit Differentiation
3.6 = 1-69 (EOO)
MON 6/22a
3.7 = Related Rates
3.8 = Linearization and Differentials
3.7 = 1-37 (EOO)
3.8 = 1-57 (EOO)
MON 6/22b
4.1 = Extreme Values of Functions
4.1 = 1-69 (EOO)
TUE 6/23
3.7 (cont.), 4.2 = The Mean Value Theorem
4.2 = 1-49 (EOO)
WED 6/24a
4.3 = Monotone Functions and the First Derivative Test
4.3 = 1-47 (not T) (EOO)
WED 6.24b
4.4 = Concavity and Curve Sketching
4.4 = 1-81 (EOO)
THR 6/25
4.5 = Applied Optimization Problems
4.5 = 1-57a, 61 (EOO)
FRI 6/26
4.6 = Indeterminant Forms and L'Hopital's Rule, Review
4.6 = 1-33 (EOO)
MON 6/29
Test 2 (3.2-4.4)
-
TUE 6/30
4.7 = Newton's Method
4.8 = Antiderivatives
4.7 = 1-9, 21, 29 (EOO)
4.8 = 1-101 (EOO)
WED 7/1a
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 7/1b
5.3 = The Definite Integral
5.3 = 1-81 (EOO)
THR 7/2
5.4 = The Fundamental Theorem of Calculus
5.4 = 1-65 (EOO)
FRI 7/3
Independence Day Holiday
-
MON 7/6a
5.5 = Indefinite Integrals and the Substitution Rule
5.5 = 1-61 (EOO)
MON 7/6b
5.6 = Substitution and Area Between Curves
5.6 = 1-89 (EOO)
TUE 7/7
6.1 = Volumes by Slicing and Rotation About an Axis
6.2 = Volumes of Cylindrical Shells
6.1 = 1-57b (EOO)
6.2 = 1-33 (EOO)
WED 7/8a
6.3 = Lengths of Plane Curves
6.3 = 1-29 (EOO)
WED 7/8b
6.4 = Moments and Centers of Mass
6.4 = 1-41 (EOO)
THR 7/9
Review
-
FRI 7/10
Test 3 (4.5-4.8, 5.1-5.6, 6.1-6.4)
!

Return to Bob Gardner's home page.
Last updated: June 30, 2009.