Calculus 1 - Fall 2004

COURSE: MATH 1910-003

TIME AND PLACE: 9:20-10:15 MWF (302 Sam Wilson Hall) and 8:40-9:35 T (304 Gilbreath Hall)

INSTRUCTOR: Dr. Robert Gardner

OFFICE: Room 308G of Gilbreath Hall
OFFICE HOURS: 1:00-2:00 T, 10:25-11:20 W

PHONE: 439-6977 (308G 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, copies of the classnotes in PDF and PostScript formats, and updates for the course).

TEACHING ASSISTANT:LaKeisha Brown
OFFICE: Math Lab
OFFICE HOURS: 11:15-2:15 M, 11:05-2:10 W, 5:05-7:00 R, 3:00-5:00 Sun
ASSISTANTS E-MAIL: aka_beauty08@yahoo.com

Primary Resources and Details

TEXT: Thomas' Calculus, 10th 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 Online Catalog and 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.

ONLINE CLASS NOTES: Class notes will be given primarily in the form of overheads. Definitions, theorems, some proofs, and a few examples will be included on the overheads. Most examples and questions concerning homework problems will be written on the board. Copies of the overheads are on reserve in the library, in the Math Lab, and online at:

www.etsu.edu/math/gardner/1110/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's Manual, Part I by M. Weir, contains worked-out solutions for all exercises in the text. Student Study Guide, Part I by M. Weir, gives study tips and additional practice. 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. If your background on these topics is weak, you definitely should consider another course!!!

GRAPHING CALCULATORS: "The designated calculator for Calculus I, II and III (MATH-1910, 1920, and 2110) will be the TI89. The TI92 is also suitable" [Schedule of Classes Bulletin, Fall 2004, ETSU, p. 68].


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.

Grading and Tests

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

AVERAGE = (T1 + T2 + T3 + T4+2F)/6.
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 tests. These policies are nonnegotiable.

THE FINAL: We will have a comprehensive final on Monday, December 13 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 ( 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 1 time each week until the next to last week of class.

Gateway Exams can be taken the last week of class only by permission of the Calculus coordinator. Now gateway testing will be offered in the math lab during the last week of class.

The examination consists of 10 multiple choice questions and has a 30-minute time limit. A score of 7 out of 10 is required for completion of the course. The purpose of the examination will be to assess each student's acquisition of the basic skills in Calculus. Therefore, NO CALCULATORS OF ANY KIND MAY BE USED DURING THE EXAMINATION.

NOTE: Passing the gateway examination does not guarantee a passing grade for the course."

This exam will be administered in the Math Lab. A sample Gateway Exam can be found on the internet at: math.etsu.edu/calculus/gate1htm.htm. If you take the Gateway Exam before the second in-class test, then I will give you your score on the Gateway Exam as bonus points on Test 2.

Other Resources to Help You

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 (tentatively) Monday-Thursday 11:30-7:30, Sunday 1:30-5:30. 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.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.

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 (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.

INSIDE TRACK AND PAL: ETSU's Tutoring Program and Services, a university funded academic support program that offers a variety of tutoring approaches. Inside Track promotes group learning through integrative approaches. Tutoring is provided for selected undergraduate core courses. Services are provided free to all ETSU students.

PAL (Peer Assisted Learning) are in-class, group sessions held on the main campus in Johnson City. Tutoring is available for Biology I and II for majors, Physics, Calculus I and II, Chemistry I and II, History, and Probability and Statistics.

For additional details, see www.etsu.edu/insidetrack/aboutIT.htm

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 www.etsu.edu/sss/

BLACKBOARD (ONLINE TUTORING): Inside Track will be providing online tutoring through Blackboard. The tutoring sites include: class handouts, practice quizzes, study tips, chat rooms for online tutoring, and discussion boards to post questions. To access Blackboard see: blackboard.etsu.edu. Login using your "zname" as your username and your social security number as your password. For more details, see www.etsu.edu/insidetrack/Blackboard.htm. The Blackboard website for our class is active and will include the option of "Discussions Groups" for each section we cover. This website will be monitored by my assistant who will communicate with you collectively through this method when needed.

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: www.etsu.edu/reg/syllabus.htm and www.etsu.edu/reg/syllabus.pdf.

Additional Information

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!

IMPORTANT DATES:
Monday, September 6 = Labor Day Holiday - University closed.
Friday, September 10 = Last day for 75% refund. (This unusual date is in the Class Bulletin and the online Syllabus Attachment.)
Tuesday, September 21 = Test 1 (1.1-1.5).
Monday, September 27 = Last day to drop without a grade of "W."
Tuesday, October 12 = Test 2 (2.1-2.7).
Monday and Tuesday, October 18 and 19 = Fall Break - No classes.
Monday, October 25 = Last day to drop without dean's permission.
Tuesday, November 9 = Test 3 (3.1-3.7).
Thursday and Friday, November 25 and 26 = Thanksgiving Holiday - University closed.
Tuesday, November 30 = Test 4 (4.1-4.7).
Wednesday, December 8 = Last day to withdraw from the university.
Friday, December 10 = Last day of class.
Monday, December 13 = Comprehensive final, 8:00 a.m. to 10:00 a.m.

Course Outline

We will follow this tentative outline. "EOO" means Every Other Odd (that is, 1, 5, 9, 13, etc.). Notice that, on average, we spend more time on the sections of the first two chapters (since this is where many fundamentally new concepts are introduced). Also notice that each test is scheduled on a Tuesday. On test days, class will start at 8:15 and end at 9:35 so that you may have extra time (if needed) to work on the test.

DATE
AGENDA
HOMEWORK
MON 8/30
1.1 = Rates of Change and Limits
1.1 = 1-45 (EOO)
TUE 8/31
1.1 (cont.), 1.2 = Finding Limits and One-Sided Limits
1.2 = 1-41 (EOO)
WED 9/1
1.2 (cont.)
-
FRI 9/2
1.3 = Limits Involving Infinity
1.3 = 1-45 (EOO)
MON 9/6
Labor Day Holiday (no classes)
-
TUE 9/7
Study Session
-
WED 9/8
1.3 (cont.), 1.4 = Continuity
1.4 = 1-37 (EOO)
FRI 9/10
1.4 (cont.)
-
MON 9/13
1.5 = Tangent Lines
1.5 = 1-41 (EOO)
TUE 9/14
Study Session
-
WED 9/15
1.5 (cont.), 2.1 = Derivative
2.1 = 1-37 (EOO)
FRI 9/17
2.1 (cont.)
-
MON 9/20
Review for Test 1
-
TUE 9/21
Test 1 = 1.1-1.5
-
WED 9/22
2.2 = Rate of Change
2.2 = 1-29 (EOO)
FRI 9/24
2.3 = Products, Quotients, Negative Powers
2.3 = 1-29 (EOO)
MON 9/27
2.3 (cont.), 2.4 Trigonometric Functions
2.4 = 1-41 (EOO)
TUE 9/28
Study Session
-
WED 9/29
2.4 (cont.), 2.5 = Chain Rule, Parametric Equations
2.5 = 1-65 (EOO)
FRI 10/1
2.5 (cont.)
-
MON 10/4
2.6 = Implicit Differentiation
2.6 = 1-57 (EOO)
-
You are now prepared to take the Gateway Exam!!!
-
TUE 10/5
Study Session
-
WED 10/6
2.6 (cont.), 2.7 = Related Rates
2.7 = 1-37 (EOO)
FRI 10/8
2.7 (cont.)
-
MON 10/11
Review for Test 2
-
TUE 10/12
Test 2 = 2.1-2.7
-
WED 10/13
3.1 = Extrema of Functions
3.1 = 1-53 (EOO)
FRI 10/15
3.1 (cont.), 3.2 = Mean Value Theorem and DEs
3.2 = 1-45 (EOO)
MON 10/18
Fall Break (no classes)
-
TUE 10/19
Fall Break (no classes)
-
WED 10/20
3.2 (cont.)
-
FRI 10/22
3.3 = Shape of a Graph
3.3 = 1-61 (EOO)
MON 10/25
3.3 (cont.), 3.4 = Solving DEs Graphically
3.4 = 1-17 (EOO)
TUE 10/26
Study Session
-
WED 10/27
3.4 (cont.)
-
FRI 10/29
3.5 = Optimization
3.5 = 1-57 (EOO)
MON 11/1
3.5 (cont.)
3.5 = 1-57 (EOO)
TUE 11/2
Study Session
-
WED 11/3
3.6 = Linearizations and Differentials
3.6 = 1-41 (EOO)
FRI 11/5
3.7 = Newton's Method
3.7 = 1-29 (EOO)
MON 11/8
Review for Test 3
-
TUE 11/9
Test 3 (3.1-3.7)
-
WED 11/10
4.1 = Indefinite Integrals and DEs
4.1 = 1-65 (EOO)
FRI 11/12
4.2 = u-Substitution
4.2 = 1-45 (EOO)
MON 11/15
4.3 = Finite Sums
4.3 = 1-21 (EOO)
TUE 11/16
Study Session
-
WED 11/17
4.4 = Riemann Sums, Definite Integrals
4.4 = 1-37 (EOO)
FRI 11/19
4.5 = Fundamental Theorem of Calculus
4.5 = 1-49 (EOO)
MON 11/22
4.6 = u-Substitution in Definite Integrals
4.6 = 1-41 (EOO)
TUE 11/23
Study Session
-
WED 11/24
4.7 = Numerical Integration
4.7 = 1-21 (EOO)
FRI 11/26
Thanksgiving Holiday (no classes)
-
MON 11/29
Review for Test 4
-
TUE 11/30
Test 4 (4.1-4.7)
-
WED 12/1
5.1 = Volumes by Slicing
5.1 = 1-57 (EOO)
FRI 12/3
5.2 = Volumes by Shells
5.2 = 1-33 (EOO)
MON 12/6
5.2 (cont.), 5.3 = Lengths of Curves
5.3 = 1-29 (EOO)
TUE 12/7
Study Session
-
WED 12/8
Review for Final
-
FRI 12/10
Review for Final
-
MON 12/13
Final, 8:00 a.m. to 10:00 a.m.
-

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