MATH
281 Analytic Geometry and Calculus II, Winter, 2007
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 MTu, 2 WTh, 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:
- integrals and Riemann sums.
- techniques of integration
- applications of integration
- logarithmic, hyperbolic, inverse trigonometric, and exponential functions
TEXT: Calculus, 8th, by Larson, Hostetler, and Edwards,
2006, 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 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. Be sure to show your work neatly and to complete your
work on time. Homework will be accepted one day late without penalty, but after
one day late papers 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.
Assignments should be folded lengthwise, and labeled as shown in the
illustration. This label 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 2-3:50 PM, Monday, March 12.
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, and to be courteous, respectful, and
supportive of the learning environment.
Cell phones, computers, personal organizers, and all other electronic
devices are not to be used by students during class. 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.
SPECIAL
CONSIDERATION FOR EXTRA EFFORT: Your lowest test grade will
be dropped and replaced with your final examination grade if you meet the
following conditions: You must
·
Be present, on time, and attentive for at least 35 of the 37 scheduled
class sessions
·
Turn in at least 95% of the homework.
·
Make a higher grade on the final examination than you did on your
lowest test.
ACADEMIC
INTEGRITY:
See page 12 of http://www.wwc.edu/academics/bulletins/undergrad/2004-2006/03_academic_info.pdf
. Some collaboration on homework is
allowed, but the work you submit for grading must be your own. Any type of cheating on a test or
examination, including but not limited to copying another student’s work or
using unauthorized notes or electronic equipment, will result in a zero grade
for the test or a failing grade for the quarter, and possibly further
disciplinary action take by the Associate Vice President for Academic
Administration.
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Week |
Topic |
Assmt # |
Exercises to
Work |
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1 |
H1 |
§4.6 #7, 23, 31, 39, 48a, 54 (Use 10 steps, 20 steps, then 40 steps.) |
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Integration by
substitution |
H2 |
§4.5 #2, 5, 6, 9,
20, 32, 44, 50, 60, 63, 72, 100, 101, 102 |
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2 |
The natural
logarithm – differentiation |
H3 |
§5.1 #1, 4, 10, 14,
15, 25, 42, 58, 63, 84, 95 |
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H4 |
§5.2 #8, 10, 13,
20, 33, 49, 55, 68, 69, 84 |
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H5 |
§5.3 #27, 35, 44,
46, 53, 63, 74, 79, 81, 107 |
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H6 |
§5.4 #19a, 28,
34b, 38, 52, 59, 65, 93, 95, 106 |
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3 |
H7 |
§5.5 #2, 8, 25,
45, 56, 57, 66, 68, 94, 98 |
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H8 |
§5.6
#4, 10, 17, 23, 35, 48, 61, 71, 92, 94d |
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H9 |
§5.7
#5, 13, 26, 43, 63, 69, 71, 82 |
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H10 |
§5.8
#3, 8, 25, 35, 40, 49, 54, 67, 85, 90 |
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4 |
Catch-up/review |
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H11 |
§6.1
#2, 9, 18, 25, 39, 45, 50, 57, 65, 72 |
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H12 |
§6.2
#3, 11, 15, 25, 62, 65, 72 |
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5 |
Separation of variables |
H13 |
§6.3
#5, 17, 25, 46, 52 |
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Areas |
H14 |
§7.1
#2, 8, 28, 35, 57, 65b, 77, 80, 86, 93 |
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Volume via discs |
H15 |
§7.2
#2, 6, 8, 11a, 12c, 23, 33, 49, 51, 57, 61a, 62c, 64, 65, 68 |
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H16 |
§7.3
#4, 20, 21, 25, 29a, 41, 48, 56a |
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6 |
Continuation |
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H17 |
§7.4
#2, 4, 9, 16, 25, 30, 35, 52, 55 |
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H18 |
§7.5
#2, 3, 9, 17, 21, 25, 31 |
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H19 |
§7.6
#2, 5a, 7, 9, 25, 29, 37, 45 |
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7 |
H20 |
§7.7
#15, 22a, 24a, 27, 30 |
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Catch-up/review |
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H21 |
§8.1
#2, 7, 13, 18, 21, 35, 46, 49, 57, 76 |
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8 |
H22 |
§8.2
#16, 31, 49, 61, 66, 86, 97 |
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H23 |
§8.3
#9, 14, 16, 30, 31, 35, 68, 75, 90, 93 |
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H24 |
§8.4
#5, 13, 18, 31, 43, 68 |
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H25 |
§8.5
#4, 6, 10, 20, 23, 25, 31, 34, 43, 48, 61 |
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9 |
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Software and
calculators |
H26 |
§8.6 #2, 11, 47; Supplemental
exercises |
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Catch-up/review |
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10 |
H27 |
§8.7 #2, 5, 11,
19, 21, 39, 45, 65, 67, 87, 101 |
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H28 |
§8.8 #6, 23, 28,
48, 67, 74, 77 |
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Continuation |
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Review |
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Final Examination |
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