MATH
282 Analytic Geometry and Calculus III, Winter, 2003
BULLETIN DESCRIPTION: Study of sequences, series, polar coordinates,
parametric equations, and vectors. Prerequisite: MATH 281.
INSTRUCTOR: Dr. Ken Wiggins, 338 KRH, 527-2088
Office Hours: 3 MTuW; 2 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:
TEXT: Calculus, 7th, by Larson, Hostetler, and Edwards,
2002, Houghton Mifflin
GRAPHING CALCULATOR: TI-89 or equivalent
ASSESSMENT: All assessment will be based on both the correctness of your results and the quality of your presentation.
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HOMEWORK: The surest way to succeed in MATH 282 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. Be sure to show your work neatly on
these papers and to complete your work on time. Homework will be accepted one
day late without penalty, but after one day late papers will be discounted at
the rate of 20% per day.
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. Assignments should be
folded lengthwise, and you should place your name, “MATH 282”, the date, and
the problem section number on the outside of your paper. This information should also be included on
the inside of the first page of your homework.
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 8-9:50 a.m., Tuesday,
March 18. 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 527-2090. This syllabus is available in alternative print formats
upon request. Please ask your instructor.
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Week |
Date |
Topic |
Assignment # |
Exercises to Work |
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1 |
Jan 6-10 |
Conic sections |
H1 |
§9.1 #1-3,11,14,24,81,91(Use Maple to accurately plot a graph of the cable and to find the length of the cable.) |
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H2 |
§9.1 #4-6,50,54,60,67,98,114 |
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Parametric equations |
H3 |
§9.2 #2ab,10,17,23,35,40,44,55,75 |
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H4 |
§9.3 #9,16,19,23,37,51 |
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2 |
Jan 13-17 |
Polar coordinates and graphs |
H5 |
§9.4 #3,13,15,22,36,48a,54 (Do this for the point (2,0) only.) 73,79,103a |
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Area, arc length, & polar coordinates |
H6 |
§9.5 #4,10,15,24,28,35,42,46 |
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3 |
Jan 20-24 |
Conics & polar coordinates |
H7 |
§9.6 #2,5a,7,10,12,19,32,36,43,55 |
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Rotation of the axes, Maple example |
H8 |
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Review /catch-up |
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Test #1, chapter 9 |
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4 |
Jan 27-31 |
Infinite sequences |
H9 |
§8.1 #7,12,14,36,40,33,35,55,60,69,84,111 |
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Infinite series |
H10 |
§8.2 #1,8,12,21,27,37,45,50,57,75,84 |
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Integral test |
H11 |
§8.3 #4,6,14,15,22,29,35,39,45,53,55 |
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Comparison test |
H12 |
§8.4 #1a,2a,3,6,14,15,28,31(one test only),57,59,65 |
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5 |
Feb 3-7 |
Alternating series |
H13 |
§8.5 #1,2,3,7,10,15,20,29,34,41,47,54,62,69,73,78 |
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Ratio and root tests |
H14 |
§8.6 #1,5,7,13,16,34,37,46,47,55,65 |
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Talyor polynomials |
H15 |
§8.7 #1,2,7,13,25,31c,45,65 |
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Power series |
H16 |
§8.8 #2,4,7,8,23,32,35,59,60 |
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6 |
Feb 10-14 |
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H17 |
§8.9 #2,7,24,27,35,39a,40,42a |
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Taylor & Maclaurin series |
H18 |
§8.10 #2,3,15,22,27,35,46,48,61 |
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Vectors |
H19 |
§10.1 #1,4,13,17,21,29,34,38e,48,54,80,91 |
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Review /catch-up |
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7 |
Feb 17-21 |
Presidents’ Day |
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Test #2, chapter 8 |
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Three dimensional space |
H20 |
§10.2 #2,12,22,29,41,57,63,79,89,97,108 |
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Dot products |
H21 |
§10.3 #1,7,11,20,27,41,45,67 |
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8 |
Feb 24-28 |
Cross products |
H22 |
§10.4 #4,7,21,33,37,47,63 |
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Lines and planes |
H23 |
§10.5 #5,12,14,17,21,34,36,48,53,69,75,79 |
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Surfaces |
H24 |
§10.6 #2,4,13,15,22,35,42,46,58,63 |
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Cylindrical & spherical coordinates |
H25 |
§10.7 #4,8,22,29,35,50,854,86,93 |
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9 |
Mar 3-7 |
Vector functions |
H26 |
§11.1 #2,8,10b,15,18,34,42,57,59,69,76,85 |
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Review /catch-up |
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Test #3, chapter 10 |
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Differentiation and integration |
H27 |
§11.2 #1,7,37ac,41,44,52,57,73 |
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10 |
Mar 10-14 |
Velocity & acceleration |
H28 |
§11.3 #6,16,25,34,46,50 |
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Tangent & normal vectors |
H29 |
§11.4 #2,9,11,26,31,40,52a-e,57 |
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Arc length and curvature |
H30 |
§11.5 #2,8,17,21,39,67 |
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11 |
Mar
18 |
Final Examination, 8 am |
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