Calculus 3 - Fall 1998

COURSE: MATH 2210-001, CALL #31051

TIME: 9:20-10:15 MWF, 8:40-9:35 T, PLACE: 314 Gilbreath Hall

INSTRUCTOR: Dr. Robert Gardner, OFFICE: Gilbreath 308L and Brown 201

OFFICE HOUR: 10:25-11:20 MWF, PHONE: 439-6978 (Math Office 439-4349)

E-MAIL ADDRESS: gardnerr@etsuarts.etsu.edu

HOMEPAGE: www.etsu.edu/math/gardner/gardner.htm (see my homepage for a copy of the course syllabus and updates for the course)

E-MAIL ADDRESS: gardnerr@etsu.edu

HOMEPAGE: www.etsu.edu/math/gardner/gardner.htm.

CLASS HOMEPAGE: A copy of the syllabus and additional information is available on the internet at: www.etsu.edu/math/gardner/2210/2210sil.htm

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. HP-48G/GX Calculator Enhancement for Science and Engineering Mathematics contains details on using the designated graphing calculator. A copy of each of these additional resources will be on reserve in the library.

GRAPHING CALCULATORS: You may use a graphing calculator for this course. Although it will not play as central a role as in Calculus I and II, the HP48G will be occasionally used in class to further illustrate certain points.

NOTE: Probably one of the most important questions of the Renaissance was " Why do the planets follow Kepler's Laws?" Issac Newton answered this with his inverse square law of gravitation. In fact, that was his motivation in the invention (or is it discovery?) of Calculus. With the appropriate tools (which you will have developed once we cover Chapters 9, 10, and 11), it is rather easy to show that an inverse square law of gravity implies Kepler's three laws, as we will see in section 11.5.

When properly presented, a calculus class can be thought of as an introduction to mathematical physics. At this point, you have already been exposed to applications of calculus and to several types of mechanics problems (such as trajectories and center of mass problems). In this class you will be exposed to applications in optics (Chapter 9) and 3-dimensional trajectories (Chapter 12). However, the possible applications of calculus go far beyond physics. We will also see applications in engineering, statistics, graphics, and aerodynamics. Throughout the class, applications will be a motivating force!

GRADING: We will have four regular tests at about two week intervals and a comprehensive final. Your average will be computed as follows:

AVERAGE = (T1 + T2 + T3 + T4 + F + F)/6.
Grades will be assigned based on a 10 point scale with "plus" and "minus" grades being assigned as appropriate. Make-up tests will be given only under the most EXTREME conditions.

MATH LAB: A Mathematics Laboratory is available for you in Rooms 308 and 309 of Warf-Pickle Hall. The hours are 11:30-7:30 M-Th and 1:30-5:30 Sunday.

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 8/31 Intro, 9.1 = Conic Sections 9.1 = 1-93 (EOO)
TUE 9/1 9.1 (cont.) -
WED 9/2 9.2 = Eccentricity 9.2 = 1-41 (EOO)
FRI 9/4 9.3 = Rotations 9.3 = 1-49 (EOO)
MON 9/7 Labor Day holiday (no class) -
TUE 9/8 9.4 = Parametrizations 9.4 = 1-37 (EOO)
WED 9/9 9.5 = Parametrized Curves 9.5 = 1-37 (EOO)
FRI 9/11 9.6 = Polar Coordinates 9.6 = 1-61 (EOO)
MON 9/14 9.7 = Graphing 9.7 = 1-37 (EOO)
TUE 9/15 9.7 (cont.), 9.8 = Conic Sections 9.8 = 1-45, 57-65 (EOO)
WED 9/16 9.9 = Integration 9.9 = 1-37 (EOO)
FRI 9/18 10.1 = Vectors 10.1 = 1-45 (EOO)
MON 9/21 Review for Test 1 -
TUE 9/22 TEST 1 -
WED 9/23 10.2 = Vectors in Space 10.2 = 1-77 (EOO)
FRI 9/25 10.2 (cont.) -
MON 9/28 10.3 = Dot Products 10.3 = 1-57 (EOO)
TUE 9/29 10.3 (cont.) -
WED 9/30 10.4 = Cross Products 10.4 = 1-41 (EOO)
FRI 10/2 10.5 = Lines and Planes 10.5 = 1-73 (EOO)
MON 10/5 10.6 = Cylinders and Surfaces 10.6 = 1-81 (EOO)
TUE 10/6 10.6 (cont.) -
WED 10/7 10.7 = Other Coordinates 10.7 = 1-49 (EOO)
FRI 10/9 11.1 = Vector Valued Functions 11.1 = 1-57 (EOO)
MON 10/12 Review for Test 2 -
TUE 10/13 TEST 2 -
WED 10/14 11.1 (cont.) -
FRI 10/16 11.2 = Projectile Motion 11.2 = 1-25 (EOO)
MON 10/19 11.3 = Arc Length 11.3 = 1-17 (EOO)
TUE 10/20 11.4 = Curvature, Frenet Frame 11.4 = 1-41 (EOO)
WED 10/21 11.4 (cont.) -
FRI 10/23 11.5 = Planetary Motion 11.5 = 1-13 (EOO)
MON 10/26 11.5 (cont.) -
TUE 10/27 12.1 = Functions of Several Variables 12.1 = 1-45 (EOO)
WED 10/28 12.1 (cont.), 12.2 = Limits 12.2 = 1-49 (EOO)
FRI 10/30 Fall Break (no class) -
MON 11/2 Review for Test 3 -
TUE 11/3 TEST 3 -
WED 11/4 12.2 (cont.), 12.3 = Partial Derivatives 12.3 = 1-73 (EOO)
FRI 11/6 12.3 (cont.), 12.4 = Derivatives 12.4 = 1-41 (EOO)
MON 11/9 12.4 (cont.) -
TUE 11/10 12.5 = Chain Rule 12.5 = 1-49 (EOO)
WED 11/11 12.6 = Constrained Variables 12.6 = 1-11 (EOO)
FRI 11/13 12.7 = Gradients 12.7 = 1-65 (EOO)
MON 11/16 12.7 (cont.) -
TUE 11/17 12.8 = Extreme Values 12.8 = 1-61 (EOO)
WED 11/18 12.9 = Lagrance Multipliers 12.9 = 1-41 (EOO)
FRI 11/20 12.10 = Taylor's Formula 12.10 = 1-9 (EOO)
MON 11/23 Review for Test 4 -
TUE 11/24 TEST 4 -
WED 11/25 13.1 = Double Integrals 13.1 = 1-65 (EOO)
FRI 11/27 Thanksgiving holiday (no class) -
MON 11/30 13.1 (cont.) -
TUE 12/1 13.2 = Centers of Mass 13.2 = 1-53 (EOO)
WED 12/2 13.3 = Polar Double Integrals 13.3 = 1-41 (EOO)
FRI 12/4 13.4 = Triple Integrals 13.4 = 1-45 (EOO)
MON 12/7 13.5 = Moments in 3-D 13.5 = 1-25 (EOO)
TUE 12/8 13.6 = Other Triple Integrals 13.6 = 1-85 (EOO)
WED 12/9 13.7 = Substitutions 13.7 = 1-21 (EOO)
FRI 12/11 Review for Final -
MON 12/14 Final 8:00 - 10:00 a.m. -

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