MATH
181 Analytic Geometry and Calculus I, Summer, 2003
BULLETIN DESCRIPTION: Study of functions, limits, continuity, derivatives,
definite integrals, and the Fundamental Theorem of Calculus. Credit will not be allowed for both MATH 123
and MATH 181. Prerequisite: MATH 117 or
122 or a satisfactory score on a departmental placement examination. A graphing calculator is required… (see
below).
INSTRUCTOR: Dr. Ken Wiggins, 338 KRH, 527-2088
OFFICE HOURS: 11 M-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, Houghton Mifflin
GRAPHING UTILITIES: An TI-89 or equivalent calculator is required for
this course.
Assessment: All assessment will be based on both the correctness and quality of your work, including the quality of your presentation.
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HOMEWORK: The surest way to succeed in MATH 181 is to study each
day. To aid you in your study, homework problems will be assigned each day, and
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. 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 10-10:50 p.m., August 14
and 15. 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 # |
Pages to Read |
Exercises to Work |
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1 |
June
23 |
A Preview of Calculus |
H1 |
42-47 |
§1.1 #1,2,5,11 |
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H2 |
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Finding Limits
Graphically and Numerically |
H3 |
48-56 |
§1.2 #7,8,12,14,17,19a,21,24,30,47 |
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Evaluation Limits
Analytically |
H4 |
57-67 |
§1.3 #2,12,23,38,44,50,54,79,83,113,123 |
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2 |
June
30 |
Continuity and One-Sided Limits |
H5 |
68-79 |
§1.4 #6,12,15,27,31,40,56,63,71,84,101 |
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Infinite Limits |
H6 |
80-87 |
§1.5 #1,2,8,12,27,30,37,64,68,71 |
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The Derivative and the Tangent Line Problem |
H7 |
94-104 |
§2.1 #2,3,8,18,22,34,44,48,49a,49b,72,83 |
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Basic Differentiation
Rules and Rates of Change |
H8 |
105-116 |
§2.2 #1d,2b,23,40,44,4755,58,64,88,94,96,98 |
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3 |
July 7 |
The Product and
Quotient Rules and Higher-Order Derivatives |
H9 |
117-126 |
§2.3 # 6,12,15,35,56,69,82,84 |
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Catch Up/Review |
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Test #1,
1.1-2.2 |
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The Chain Rule |
H10 |
127-136 |
§2.4 #1,4,8,14,26,64,66,79,100,104,105 |
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Implicit Differentiation |
H11 |
137-143 |
§2.5 #4,8,20,29,47 |
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4 |
July 14 |
Related Rates |
H12 |
144-152 |
§2.6 #2,5,21,23,26a,30a,34,35 |
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Extrema on an
Interval |
H13 |
160-167 |
§3.1 #4,6,9,10,12,20,51,61,62 |
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Rolle’s Theorem and the Mean Value Theorem |
H14 |
168-173 |
§3.2 #1,4,8,25,31,45,53,59 |
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Increasing and Decreasing Functions and the first Derivative Test |
H15 |
174-183 |
§3.3 #4,15,37,45,46,58,67 |
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5 |
July 21 |
Catch Up/Review |
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Test #2, 2.3-3.3 |
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Concavity and the
Second Derivative Test |
H16 |
184-191 |
§3.4 #2,6,12,27,43,54,57,58,64,67 |
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Limits and Infinity |
H17 |
192-201 |
§3.5 #2,10,14,20,22,33,35,54,78,83 |
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6 |
July 28 |
A Summary of
Curve Sketching |
H18 |
202-210 |
§3.6 #5,18,32,47,58 |
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Optimization Problems |
H19 |
211-221 |
§3.7 #2,4,11,18,19,23,26a,28,49 |
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Newton’s Method |
H20 |
222-227 |
§3.8 #5,16,27 |
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Differentials |
H21 |
228-234 |
§3.9 #4,8,18,29,35 |
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7 |
Aug 4 |
Antiderivatives and Indefinite Integration |
H22 |
242-252 |
§4.1 #3,7,24,30,38,50,60,63,68,69,72,77,81 |
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Catch Up/Review |
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Test #3 3.4-4.1 |
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Area |
H23 |
253-264 |
§4.2 #3,9,15,22,27,46,52 |
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8 |
Aug 11 |
Riemann Sums and Definite Integrals |
H24 |
265-274 |
§4.3 #8,10,18,30,40,45d,45e,45f,47,48,54,62, Supplemental exercises |
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The Fundamental Theorem of Calculus |
H25 |
275-287 |
§4.4 #3,9,17,23,32,35,38,46,49,63,83,92 |
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Catch Up/Review |
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9 |
Aug 14-15 |
Final Examination |
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