MATH
281 Analytic Geometry and Calculus II, Autumn, 2002
Bulletin Description: Study of indefinite integrals, calculus of inverse function, and techniques of integration. Prerequisite: MATH 181.
INSTRUCTOR: Dr. Ken Wiggins, 338 KRH, 527-2088
OFFICE HOURS: 3 M-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, seventh edition, Larson, Hostettler, and Edwards, 2002, Houghten Mifflin
GRAPHING UTILITIES: A TI-89 or equivalent calculator is required for this course. We will also use the Maple computer software.
Assessment: All assessment will be based on both correctness and quality, including the quality of your presentation.
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HOMEWORK: The surest way to succeed in MATH 281 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 on these papers and to complete your work on time. Late papers
will be discounted at the rate of two points 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.
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., Wednesday,
December 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 |
Assmt # |
Reading |
Exercises to
Work |
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1 |
Sept 30 |
Best of MATH 181 |
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Oct 2 |
Integration by
substitution |
H1 |
288-296 |
§4.5
#2,11,19,25,39,45,58,86,92,98 |
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Oct 3 |
H2 |
300-304 |
§4.6
#4,11,24,31,38,44 |
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Oct 4 |
The natural
logarithm |
H4 |
314-320 |
§5.1
#2a,10,17,25,33,38,42,58,82,88 |
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2 |
Oct 7 |
The natural
logarithm |
H5 |
324-329 |
§5.2
#11,24,28,33,42,49,56,63,79,90 |
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Oct 9 |
Inverse functions |
H6 |
332-337 |
§5.3
#5,10,26,42,44,46,71,82,88,97 |
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Oct 10 |
Exponential functions |
H7 |
341-346 |
§5.4
#6,14,21,23,32,38,48,60,67,88,102 |
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Oct 11 |
Applications |
H8 |
351-356 |
§5.5
#4,24,28,48,58,64,68,88,89,93 |
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3 |
Oct 14 |
Catch-up/review |
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Oct 16 |
Test #1 |
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Oct 17 |
Growth and decay |
H9 |
361-365 |
§5.6
#8,11,20,22,28,38,62,63,74 |
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Oct 18 |
Separation of variables |
H10 |
369-376 |
§5.7
#2,16,27,33,43,52,67,93,102 |
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4 |
Oct 21 |
Inverse trig
functions |
H11 |
380-385 |
§5.8
#4,10,18,27,29,35,46,62,71,82 |
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Oct 23 |
No class – service
day |
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Oct 24 |
Inverse
trigonometric functions |
H12 |
388-392 |
§5.9
#9,12,14,17,23,44,52,54,59ab |
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Oct 25 |
Hyperbolic
functions |
H13 |
395-402 |
§5.10 #1,8,15,29,35,337,41,49,68,79 |
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5 |
Oct 28 |
Areas |
H14 |
412-417 |
§6.1
#6,10,15,36,42,57,63,67,70,76 |
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Oct 30 |
Volume via discs |
H15 |
432-436 |
§6.2
#4,10,11,15,24,36,47,59a,62,64 |
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Oct 31 |
Volume via shells |
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Nov 1 |
Continuation |
H16 |
432-436 |
§6.3
#4,14,20,22,29,37 |
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6 |
Nov 4 |
Catch-up / review |
H17 |
440-446 |
§6.4
#3,15,22,27,28,30 |
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Nov 6 |
Test #2 |
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Nov 7 |
Arc length |
H17 |
440-446 |
§6.4 #3,15,22,28,30 |
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Nov 8 |
Work |
H18 |
450-455 |
§6.5
#2,9,19,21,25,31,35 |
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7 |
Nov 11 |
Center of mass |
H19 |
459-466 |
§6.6
#4,8,15,18,25,36,44,50 |
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Nov 13 |
Fluid pressure and
force |
H20 |
470-473 |
§6.7 #7,8,12,19 |
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Nov 14 |
Basic integration
rules |
H21 |
482-485 |
§7.1
#2,6,9,20,23,26,37,46,59,66 |
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Nov 15 |
Integration by
parts |
H22 |
488-493 |
§7.2
#6,12,14,27,47,76,84,90,100,108 |
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8 |
Nov 18 |
Trigonometric
integrals |
H23 |
497-502 |
§7.3
#3,13,18,27,43,47,57,64 |
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Nov 20 |
Trigonometric
substitution |
H24 |
506-511 |
§7.4
#5,11,35,60c,63,73a |
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Nov 21 |
Partial fractions |
H25 |
515-521 |
§7.5
#3,5,6,18,20,29,34,41,50 |
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9 |
Nov 24-30 |
Thanksgiving
vacation |
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10 |
Dec 2 |
Catch-up / review |
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Dec 4 |
Test #3 |
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Dec 2 |
Integral tables |
H26 |
524-527 |
§7.6 #5,9,43,61,70 |
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Dec 4 |
Software and
calculators |
H27 |
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11 |
Dec 9 |
L'Hôpital's rule |
H28 |
530-536 |
§7.7
#2,6,14,21,34,71,94 |
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Dec 11 |
Improper integrals |
H29 |
540-546 |
§7.8
#2,7,11,13,20,31,42,62,69,84ab |
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Dec 12 |
Continuation |
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Dec 13 |
Review |
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Wed, Dec 18 |
Final Examination,
8 a.m. |
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