Calculus 2 - Spring 2001

COURSE: MATH 1120-001, CALL # 11976

TIME: 9:20-10:15 MWF in Gilbreath 313, and 8:40-9:35 R in Gilbreath 314

INSTRUCTOR: Dr. Robert Gardner, OFFICE HOURS: 10:15-11:15 MWF

OFFICES: Room 308G of Gilbreath Hall, Room 201 of Brown Hall

PHONE: 439-6977 (308G Gilbreath), 439-8684 (201 Brown), Math Office 439-4349

E-MAIL: gardnerr@etsu.edu

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

TEXT: Calculus and Analytic Geometry, 9th edition, by G. Thomas and R. Finney, Addison-Wesley.

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.

PREREQUISITES: A passing grade in Calculus 1 (MATH 1110).

GRAPHING CALCULATORS: "The designated calculator for Calculus 1 and 2 will be the TI89. The TI92 is also suitable" [Schedule of Classes Bulletin, Spring 2001, ETSU, p. 66].


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:
http://www.etsu.edu/math/gardner/1110/squareb.htm
Also, you will be required to show all substitutions when calculating integrals.

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 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!

THE FINAL: We will have a comprehensive final on Monday, April 30 from 8:00 a.m. to 10:00 a.m.

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.

GATEWAY EXAM: Quoted from the Math Department's webpage concerning Gateway Exams in Calculus 2 http://math.etsu.edu/calculus/Gate2ann.htm.
"You cannot pass Calculus II, Math 1120 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 1120, 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 Friday, March 9], 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 access 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."
A sample Gateway Exam for Calculus 2 can be found at

http://math.etsu.edu/calculus/gate2htm.htm

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 439-5968. The Math Hotline is 439-8586 (for short questions).

IMPORTANT DATES:

For office hours, library hours, and other important dates see

http://www.etsu.edu/reg/syllabus.htm
or
http://www.etsu.edu/reg/syllabus.pdf

Course Outline
We will follow this tentative outline. "EOO" means Every Other Odd (that is, 1, 5, 9, 13, etc.).

DATE ADGENDA HOMEWORK
MON 1/8 intro, 5.7 = Moments, Centers of Mass 5.7 = 1-41 (EOO)
WED 1/10 5.7 (cont.) -
THR 1/11 5.8 = Work 5.8 = 1-36 (EOO)
FRI 1/12 5.8 (cont.)
MON 1/15 Martin Luther King, Jr. Holiday -
WED 1/17 5.9 = Fluid Pressure 1-23 (EOO)
THR 1/18 Problem Session -
FRI 1/19 6.1 = Inverse Functions 6.1 = 1-41 (EOO)
- 6.2 = Natural Logarithms 6.2 = 1-77 (EOO)
MON 1/22 6.2 (cont.), 6.3 = Exponential Functions 6.3 = 1-73 (EOO)
WED 1/24 6.3 (cont.), 6.4 = ax and logax 6.4 = 1-81 (EOO)
THR 1/25 Problem Session -
FRI 1/26 6.5 = Growth and Decay 1-25 (EOO)
MON 1/29 6.5 (cont.) -
WED 1/30 Review -
THR 2/1 Test 1 (5.7-5.9, 6.1-6.5) -
FRI 2/2 6.6 = L'Hopital's Rule 6.6 = 1-61 (EOO)
MON 2/5 6.6 (cont.), 6.7 = Relative Rates of Growth 6.7 = 1-25 (EOO)
WED 2/7 6.7 (cont.) -
THR 2/8 Problem Session -
FRI 2/9 6.8 = Inverse Trig Functions 6.8 = 1-57 (EOO)
MON 2/12 6.9 = Derivatives of Inverse Trig 6.9 = 1-89 (EOO)
WED 2/14 6.9 (cont.) -
THR 2/15 Problem Session -
FRI 2/16 6.10 = Hyperbolic Trig Functions 6.10 = 13-33 (EOO)
MON 2/19 6.10 (cont.), 6.11 = First Order ODEs 6.11 = 1-58 (EOO)
WED 2/21 6.11 (cont.) -
THR 2/22 Problem Session -
FRI 2/23 7.1 = Integration Formulas 7.1 = 1-93 (EOO)
- 7.2 = Integration by Parts 7.2 = 1-41 (EOO)
MON 2/26 7.2 (cont.) -
WED 2/28 Review -
THR 3/1 Test 2 (6.6-6.11, 7.1, 7.2) -
FRI 3/2 7.3 = Partial Fractions 7.3 = 1-49 (EOO)

DATE ADGENDA HOMEWORK
MON 3/5 7.3 (cont.), 7.4 = Trig Substitution 7.4 = 1-41 (EOO)
WED 3/7 7.4 (cont.) -
THR 3/8 Problem Session -
FRI 3/9 7.5 = Integral Tables 7.5 = 1-101 (EOO)
- Don't forget to take the Gateway Exam!!! -
MON 3/12 Spring Break! -
WED 3/14 Spring Break! -
THR 3/15 Spring Break! -
FRI 3/16 Spring Break! -
MON 3/19 7.6 = Improper Integrals 7.6 = 1-85 (EOO)
WED 3/21 7.6 (cont.), 8.1 = Sequences 8.1 = 1-45 (EOO)
THR 3/22 Problem Session -
FRI 3/23 8.2 = Limits of Sequences 8.2 = 1-61 (EOO)
MON 3/26 8.3 = Series 8.3 = 1-77 (EOO)
WED 3/28 Review -
THR 3/29 Test 3 (7.3-7.6, 8.1-8.3) -
FRI 3/30 8.4 = Integral Test 8.4 = 1-33 (EOO)
MON 4/2 8.4 (cont.) -
WED 4/4 8.5 = Comparison Test 8.5 = 1-33 (EOO)
THR 4/5 Problem Session -
FRI 4/6 8.6 = Ratio and Root Test 8.6 = 1-45 (EOO)
MON 4/9 8.6 (cont.), 8.7 = Alternating Series 8.7 = 1-49 (EOO)
WED 4/11 8.7 (cont.) -
THR 4/12 Problem Session -
FRI 4/13 8.8 = Power Series 8.8 = 1-41 (EOO)
MON 4/16 8.8 (cont.), 8.9 = Taylor Series 8.9 = 1-37 (EOO)
WED 4/18 Review -
THR 4/19 Test 4 (8.4-8.9) -
FRI 4/20 8.10 = Error Estimates 8.10 = 1-37 (EOO)
MON 4/23 8.10 (cont.), 8.11 = Applications of Power Series 8.11 = 1-71 (EOO)
WED 4/25 8.11 (cont.) -
THR 4/26 Problem Session -
FRI 4/27 Review -
MON 4/30 Comprehensive Final (8:00-10:00) -

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