Calculus 2 - Summer 2008

COURSE: MATH 1920-050 Call # 20257

TIME AND PLACE: 9:40-11:10 MTWRF in Gilbreath Hall 314 and 8:15-9:30 TR in Gilbreath 314

INSTRUCTOR: Dr. Robert Gardner OFFICE HOURS: By appointment.

OFFICE: Room 308F of Gilbreath Hall

PHONE: 439-6979 (308G Gilbreath), Math Department Office 439-4349

E-MAIL: gardnerr@etsu.edu
CWEBPAGE: 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 format, and updates for the course).

TEXT: Thomas' Calculus, 11th edition, by G. Thomas, R. Finney, M. Weir, and F. Giordano.

SAMPLE TESTS: Copies of old tests, along with solutions, are available through the Sherrod Library. They can be accessed over the internet. Go to the Millennium Library Catalog (http://libraries.etsu.edu/) and click on "Author" tab. Select "ETSU Sherrod Library-Reserves" and enter "gardner" in the "Look for" field. This may return more than one entry ("Gardner, Robert" and simply "Gardner"). Click on the name and this will bring up several files, including the relevant files for this class. In particular, there are copies of old tests in PDF form.

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/1920/11/notes11.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, Summer 2008, ETSU]. 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 explaining this method can be found online at:

www.etsu.edu/math/gardner/1110/squareb.htm
A handout on the application of the TI-89 in Calculus 2 is available online at:
www.etsu.edu/math/gardner/1920/ti89calc2.pdf

GRADING AND TESTS

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).

GATEWAY EXAM: The Gateway exam is not administered during summer terms.

RESOURCES TO HELP YOU

MATH LAB: The Mathematics Laboratory is located in Room 309 of Warf-Pickle Hall. It is staffed by graduate students. They are there to help you! Hours of operation are Monday-Friday 11:00-4:00. The phone number is 439-7611.

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 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/

ADDITIONAL INFORMATION

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:
Friday, July 11 = Last day to drop without grade of "W".
Friday, July 18 = Test 1 (6.5-6.7, 7.1-7.7).
Friday, July 25 = LAST DAY TO DROP without dean's approval. Verifiable extenuating circumstances required after this date.
Wednesday, July 30 = Test 2 (8.1-8.5, 8.7, 8.8, 9.1, 9.2, 9.4, 9.5).
Wednesday, August 6 = Last day to withdraw from the university.
Friday, August 8 = Test 3 (11-1-11.10).

COURSE OUTLINE

We will follow this tentative outline. "EOO" means Every Other Odd (that is, 1, 5, 9, 13, etc.). Notice the changes in dates from the original syllabus!

DATE
AGENDA
HOMEWORK
MON 7/7
6.6 = Work
1-21 (EOO)
TUE 7/8a
6.5 = Areas of Surfaces of Revolution
1-45 (EOO)
TUE 7/8b
6.7 = Fluid Pressure
1-21 (EOO)
WED 7/9
7.1 = Inverse Functions and Derivatives
1-49 (EOO)
THR 7/10a
7.2 = Natural Logarithms
1-75 (EOO)
THR 7/10b
7.3 = Exponential Function
1-75 (EOO)
FRI 7/11
7.4 = ax and loga x
1-97 (EOO)
MON 7/14
7.5 = Exponential Growth and Decay
1-25 (EOO)
TUE 7/15a
7.6 = Relative Rates of Growth
1-17 (EOO)
TUE 7/15b
7.7 = Inverse Trigonometric Functions
1-149 (EOO)
WED 7/16
8.1 = Basic Integration Formulas
8.2 = Integration by Parts
1-95 (EOO)
1-41 (EOO)
THR 7/17a
8.3 = Rational Functions and Partial Fractions
1-45 (EOO)
THR 7/17b
Review
-
FRI 7/18
Test 1 (6.5-6.7, 7.1-7.7)
-
MON 7/21
8.4 = Trigonometric Integrals
1-45 (EOO)
TUE 7/22a
8.5 = Trigonometric Substitution
1-44 (EOO)
TUE 7/22b
8.7 = Numerical Integration
1-29 (EOO)
WED 7/23
8.8 = Improper Integrals
1-69 (EOO)
THR 7/24a
9.1 = Seperable Differential Equations
1-21 (EOO)
THR 7/24b
9.2 = First-Order Linear Differential Equations
1-29 (EOO)
FRI 7/25
9.4 = Graphical Solutions of Autnomous Differential Equations
1-17 (EOO)
MON 7/28
9.5 = Applications of First-Order Differential Equations
1-21 (EOO)
TUE 7/29a
11.1 = Sequences
23-85, 97-113 (EOO)
TUE 7/29b
11.2 = Infinite Series
1-73 (EOO)
WED 7/30
Review
-
THR 7/31a
11.3 = The Integral Test
11.4 = Comparison Test
1-33a (EOO)
1-39 (EOO)
THR 7/31b
Test 2 (8.1-8.5, 8.7, 8.8, 9.1, 9.2, 9.4, 9.5)
-
FRI 8/1
11.5 = Ratio and Root Tests
1-45 (EOO)
MON 8/4
11.6 = Alternating Series, Absolute Convergence
1-55 (EOO)
TUE 8/5a
11.7 = Power Series
1-45 (EOO)
TUE 8/5b
11.8 = Taylor and Maclaurin Series
1-29 (EOO)
WED 8/6
11.9 = Convergence of Taylor Series
1-45 (EOO)
THR 8/7a
11.10 = Applications of Power Series
1-61 (EOO)
THR 8/7b
Review
-
FRI 8/8
Test 3 (11-1-11.10)
-
The departmental syllabus for this class also includes the sections 7.8 (Hyperbolic Functions), 8.6 (Integral Tables), 9.3 (Eulers Method), and 11.11 (Fourier Series). We will cover these sections if time permits.


Return to Bob Gardner's home page