MATH 283 Analytic Geometry and Calculus IV, Autumn, 2005

MATH 283 Analytic Geometry and Calculus IV, Autumn, 2005

BULLETIN DESCRIPTION: Study of differential and integral calculus of multi-variable functions, line and surface integrals, Green's theorem, divergence theorem, and Stokes' theorem. Prerequisite: MATH 282, 4 credits (quarter)

INSTRUCTOR: Dr. Ken Wiggins, 338 KRH, 527-2088

OFFICE HOURS: 3 M; 2 Tu, W, Th; 11 F, Other office hours by appointment

OBJECTIVES: After finishing this course, students should be able solve problems and to organize and effectively communicate ideas involving each of the following:

Functions of Several Variables. Limits and continuity, partial derivatives, tangent planes and approximation, directional derivatives, extrema and optimization.
Multiple Integrals. Double integrals, integrals in polar coordinates, surface area, triple integrals, center of mass, cylindrical and spherical coordinates, change of variables.
Vector Analysis. Vector fields, line integrals, independence of path, Green's theorem, surface integrals, Stokes' theorem, divergence theorem.

TEXT: Calculus, 7^th edition, Larson, Hostettler, and Edwards, 2002, Houghten Mifflin

REFERENCES:

GRAPHING UTILITIES: An TI-89 or equivalent calculator may be useful. We will also use the Maple computer software.

Assessment: All assessment will be based on both the correctness and quality of your work, including the quality of your presentation.

Assessment Category	Weights
Homework & quizzes	15%
Three tests	50%
Final examination	35%

Grade	Percent	Grade	Percent	Grade	Percent	Grade	Percent
A	91-100%	B	83-85%	C	70-74%	D	58-61%
A-	89-90%	B-	80-82%	C-	65-69%	D-	55-57%
B+	86-88%	C+	75-79%	D+	62-64%	F	0-54%

HOMEWORK: The surest way to succeed in MATH 283 is to study each day. To aid you in your study, homework problems will be assigned each day. Most of these will be collected and graded at 10 points each. Be sure to show your work neatly and to complete your work on time. Papers may be turned in one day late without penalty, but papers more than one day late will not be accepted.

Calculus problems are expected to be challenging. Consequently, you should set aside at least 8 hours per week for study. If at any time you feel that you are falling behind, see the instructor immediately.

QUIZZES: Occasionally quizzes may be given over the lectures and homework.

TESTS: Three 50-minute tests will be given during the quarter. These tests must be taken during the scheduled class period.

FINAL EXAMINATION: This test is scheduled for 10-11:50 a.m., Tuesday, December 13. Attendance is required, so make your travel plans early with this appointment in mind.

CLASS ATTENDANCE: Students are expected to attend all classes. In addition, students are expected to give their full attention to the class discussions. Modifications in the homework assignments or test schedule may be announced in class.

DISABILITIES: If you have a physical and/or learning disability and require accommodations, please contact your instructor or the Special Services office at 527-2366. This syllabus is available in alternative print formats upon request. Please ask your instructor.

Week	Topic	Assmt #	Exercises to Work
1	Functions of several variables	H1	§12.1 #3, 13, 21, 35, 38, 42, 44, 53
	Limits and continuity	H2	§12.2 #11, 17, 19, 21, 29, 35, 38, 54, 55, 57
	Partial derivatives	H3	§12.3 #1, 11, 32 (f_x only), 33, 41, 57, 75, 87,97ab(f_x only), 102
2	Differentials and approximations	H4	§12.4 #7, 13, 19, 32, 36, 43, 45
	Chain rules	H5	§12.5 #3, 5, 11, 21, 33, 57
	Directional deriviatives and gradients with applications	H6	§12.6 #5, 15, 19, 23, 43, 45, 63, 71
3	Tangent planes	H7	§12.7 #3, 7, 15, 33, 45a, 59a
	Extrema	H8	§12.8 #5, 7, 15, 33, 37, 55, 64
	Applications	H9	§12.9 #3, 9, 21, 33, 45
4	Catch-up/Review
	Test #1		Keys: Form 1 Form 2
	Lagrange multipliers	H10	§12.10 #1, 5, 17, 45
5	Iterated integrals	H11	§13.1 #3, 13, 23, 31, 34, 36
	Double integrals	H12	§13.1 #55, 61; §13.2 #5, 9, 19, 25, 47, 51
	Polar coordinates	H13	§13.3 #7, 9, 15, 21, 25, 39
6	Centers of mass	H14	§13.4 #7, 21, 23, 45
	Surface area	H15	§13.5 #5, 15, 23, 37
	Triple integrals	H16	§13.6 #7, 9, 25, 45, 49a
	Cylindrical and spherical coordinates	H17	§13.7 #5, 13, 19, 21, 31
7	Catch-up/Review
	Test #2		Keys: Form 1 Form 2
	Change of variables	H18	§13.8 #5, 9, 13, 19, 29
	Vector fields	H19	§14.1 #5, 13, 18, 21, 39, 41, 43, 48, 55, 59, 83
8	Line integrals	H20	§14.2 #7, 13, 25, 35, 49
	Path independence	H21	§14.3 #1, 5, 11, 15bc, 27, 38, 47, 49
	Green's theorem	H22	§14.4 #1, 5, 13, 23, 28, 48
9	Parametric surfaces	H23	§14.5 #3, 7, 15, 23, 24, 27, 49
	Surface integrals	H24	§14.6 #1, 5, 9, 17, 27, 29
	Catch-up/Review
	Test #3
10	Divergence theorem	H25	§14.7 #1, 5, 13, 17, 23
	Stokes' theorem	H26	§14.8 #3, 7, 13, 25
	Catch-up/review
	Review suggestions
11	December 13, 10-11:50 am		FINAL EXAM