Calculus 2 - Spring 2005

COURSE: MATH 1920-002

TIME AND PLACE: 10:25--11:20 MWF in Brown Hall 476 and 9:45--10:40 T in Warf-Pickle 413

INSTRUCTOR: Dr. Robert Gardner

OFFICE: Room 308F of Gilbreath Hall
OFFICE HOURS: 12:20-1:30 MW 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, copies of the classnotes in PDF and PostScript formats, and updates for the course).

TEACHING ASSISTANT:Changbin Guo
OFFICE: Math Lab (Warf-Pickle 308, 309) OFFICE HOURS: TBA
ASSISTANTS E-MAIL: gcbn25@hotmail.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/1920/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 by M. Weir, contains worked-out solutions for all exercises in the text. Answer Book contains short answers to most exercises in the text. Student Study Guide by M. Weir, gives study tips and additional practice. Student Solutions Manual by M. Weir contains worked-out solutions to all odd-numbered exercises in the text. A copy of each of these additional resources will be on reserve in the library.

PREREQUISITE: A passing grade in Calculus 1 (MATH 1910).

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 Wednesday, May 4 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 2 Gateway Exam" webpage (math.etsu.edu/calculus/Gate2ann.htm): "You cannot pass Calculus II, [MATH 1920] 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 II, Math 1920, the gateway exam covers limits, derivatives and integrals of exponentials, logarithms and inverse trigonometric functions, as well as the techniques of integration. Once trigonometric substitutions have been covered in Calculus II [which we will have done by Wednesday, March 16], 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. No 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/gate2htm.htm
If you take the Gateway Exam before the third in-class test, then I will give you your score on the Gateway Exam as bonus points on Test 3.

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.

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.

Additional Information

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.

NOTE: As you saw in Calculus 1, calculus is the ``mathematics of motion.'' Because of its 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 or the introductory engineering classes. 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 the very least 2 hours outside of class for each hour spent in the class) then I think this can be a pleasant and rewarding (intellectually and gradewise) experience!

IMPORTANT DATES:
Tuesday, February 1 = Last day for 75% refund.
Tuesday, February 8 = Test 1 (5.4-6.3).
Tuesday, February 15 = Last day to drop without a grade of "W."
Tuesday, March 1 = Test 2 (6.4-7.2).
Monday, March 7 to Friday March 11 = Spring Break (no classes).
Tuesday, March 15 = Last day to drop without dean's permission.
Friday, March 25 = Good Friday (no class).
Tuesday, March 29 = Test 3 (7.3-8.2).
Tuesday, April 19 = Test 4 (8.3-8.7).
Wednesday, April 27 = Last day to withdraw from the university.
Friday, April 29 = Last day of class.
Wednesday, May 4 = 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 9:45 and end at 11:04 so that you may have extra time (if needed) to work on the test.

DATE
AGENDA
HOMEWORK
TUE 1/18
5.4 = Springs, Pumping, and Lifting
5.4 = 1-37 (EOO)
WED 1/19
5.4 (cont.)
-
FRI 1/21
5.5 = Fluid Forces
5.5 = 1-17 (EOO)
MON 1/24
5.5 (cont.), 5.6 = Moments and Centers of Mass
5.6 = 1-41 (EOO)
TUE 1/25
Study Session
-
WED 1/26
5.6 (cont.)
-
FRI 1/28
6.1 = Logarithms
LAST DAY TO DROP AS PER HOPE SCHOLARSHIP "ATTEMPTED" HOURS
6.1 = 1-77 (EOO)
MON 1/31
6.2 = Exponential Functions
6.2 = 1-77 (EOO)
TUE 2/1
Study Session
-
WED 2/2
6.3 = Inverse Trig Functions
6.3 = 1-53 (EOO)
FRI 2/4
6.3 (cont.),
-
MON 2/7
Review
-
TUE 2/8
Test 1 (5.4-6.3)
-
WED 2/9
6.4 = First-Order Separable DEs
6.4 = 1-37 (EOO)
FRI 2/11
6.4 (cont.), 6.5 = Linear First-Order DEs
6.5 = 1-29 (EOO)
MON 2/14
6.5 (cont.), 6.6 = Euler's Method
6.6 = 1-13 (EOO)
TUE 2/15
Study Session
-
WED 2/16
6.6 (cont.)
-
FRI 2/18
6.7 = Hyperbolic Functions
6.7 = 1-87 (EOO)
MON 2/21
6.7 (cont.), 7.1 = Basic Integration Formulas
7.1 = 1-93 EOO)
TUE 2/22
Review
-
WED 2/23
7.2 = Integration by Parts
7.2 = 1-49 (EOO)
FRI 2/24
7.3 = Partial Fractions
7.3 = 1-49 (EOO)
MON 2/28
Review
-
TUE 3/1
Test 2 (6.4-7.2)
-
WED 3/2
7.3 (cont.), 7.4 = Trig Substitution
7.4 = 1-41 (EOO)
FRI 3/4
7.4 (cont.)
-
MON 3/7-FRI 3/11
SPRING BREAK
-
MON 3/14
7.5 = Integral Tables, etc.
7.5 = 1-45 (EOO)
TUE 3/15
Study Session
-
WED 3/16
7.6 = L'Hopital's Rule
You are now prepared for the Gateway Exam!!!
7.6 = 1-45 (EOO)
FRI 3/18
7.7 = Improper Integrals
7.7 = 1-73 (EOO)
MON 3/21
7.7 (cont.), 8.1 = Limits of Sequences
8.1 = 1-73 (EOO)
TUE 3/22
Study Session
-
WED 3/23
8.2 = Subsequences, etc.
8.2 = 1-33 (EOO)
FRI 3/25
Good Friday
-
MON 3/28
Review for Test 3
-
TUE 3/29
Test 3 (7.3-8.2)
-
WED 3/30
8.3 = Infinite Series
8.3 = 1-61 (EOO)
FRI 4/1
8.3 (cont.), 8.4 = Series of Nonnegative Terms
8.4 = 1-77 (EOO)
MON 4/4
8.4 (cont.)
-
TUE 4/5
Study Session
-
WED 4/6
8.5 = Alternating Series, Convergence
8.5 = 1-61 (EOO)
FRI 4/8
8.5 (cont.)
-
MON 4/11
8.6 = Power Series
8.6 = 1-45 (EOO)
TUE 4/12
Study Session
-
WED 4/13
8.6 (cont.)
-
FRI 4/15
8.7 = Taylor and Maclaurin Series
8.7 = 1-53 (EOO)
MON 4/18
8.7 (cont.) Review
-
TUE 4/19
Test 4 (8.3-8.7)
-
WED 4/20
8.8 = Applications of Power Series
8.8 =1-49 (EOO)
FRI 4/22
8.9 = Fourier Series
8.9 = 1-21 (EOO)
MON 4/25
8.9 (cont.), 8.10 = Cosine and Sine Series
8.10 = 1-17 (EOO)
TUE 4/26
Review for Final
-
WED 4/27
8.10 (cont.), Review for Final
-
FRI 4/29
Review for Final
-
WED 5/4
Final, 8:00 a.m. to 10:00 a.m.
-

Return to Bob Gardner's webpage.