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Textbook:
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Calculus,
6th edition,
Swokowski, Olinick, and Pence
PWS Publishing Company,
1994.
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Instructor:
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Dr. Buchanan
Office: Wickersham 113, Phone: 872-3659, FAX: 871-2320
Office Hours: 9:00AM-10:00AM (MTu_ThF), or by appointment
Email:
Robert.Buchanan@millersville.edu
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Coverage:
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Vectors and Surfaces (Chap. 10)
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Vector--valued Functions (Chap. 11)
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Partial Differentiation (Chap. 12)
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Multiple Integrals (Chap. 13)
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Vector Calculus (Chap. 14)
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Objectives:
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The student will:
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Understand the algebra and geometry of vectors in
2 and 3 dimensions.
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Understand the calculus of curves in R2,
the unit tangent and unit normals vectors, curvature, and motion along a
trajectory.
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Learn the three-dimensional vector algebra required
by linear algebra courses: Dot and cross products, projections, and
equations of line and planes in R3.
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Understand spherical coordinates and cylindrical
coordinates.
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Understand partial differentiation, and will apply
partial derivatives to the computation of gradients, directional
derivatives, tangent planes, and differentials.
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Understand differentiable functions of several
variables.
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Locate and classify critical points of functions of
several variables, and will solve applied optimization problems.
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Understand definite integrals in higher dimensions.
The student will set up and evaluate multiple integrals, and will be
able to interchange the order of integration.
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Understand line and surface integrals, potential
functions, and path independence.
The student will apply Green's theorem
in the plane, and Gauss's and Stokes' theorems in R3.
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Prerequisites:
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A grade of C- or better in
MATH 162 (Calculus II) is a prerequisite for this course.
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Attendance:
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Students are expected to attend all class meetings.
If you must be absent from class you are expected to complete class
requirements (tests and/or homework assignments) prior to the absence.
Students who miss a test should provide a valid excuse, otherwise you
will not be allowed to make up the test.
Tests should be made up within one week of their scheduled date.
No final exam exemptions.
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Homework:
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Students are expected to do their homework and participate in class.
Not only is the homework your opportunity to determine if you
understand and reinforce the material, all of the test and exam
problems will be taken from the homework exercises in your textbook.
The student solutions manual to the homework problems
for this course will be placed on reserve
in the Ganser Library.
You may check out the solutions for a maximum of three hours at a time
by asking for the ``Buchanan MATH 261 Solutions Manual'' at the
reserve desk.
Students should expect to spend a minimum of twelve hours per week
reviewing notes taken during class and working assigned homework
exercises.
Preparation for the tests and final exam will require additional hours
of study.
Students will find it beneficial to review all lecture notes and other
relevant material collected from the beginning of the semester until
the present time at least once per week.
Assignments by Section
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Sec. 10.1, pp. 855-857; 1-55 odd
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Sec. 10.2, pp. 863-864; 1-45 odd
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Sec. 10.3, pp. 874-876; 1-51 odd
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Sec. 10.4, pp. 884; 1-37 odd
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Sec. 10.5, pp. 896-898; 1-65 odd
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Sec. 10.6, pp. 915-917; 1-7 odd, 9-20, 23-43 odd, 57
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Chap. 10 Review, pp. 918-919; 1-49 odd
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Sec. 11.1, pp. 928; 1-23 odd, 27, 28, 29
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Sec. 11.2, pp. 935-937; 1-49 odd
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Sec. 11.3, pp. 944-945; 1-25 odd, 26, 27-33 odd
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Sec. 11.4, pp. 957-958; 1-49 odd
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Chap. 11 Review, pp. 970-971; 1-19 odd
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Sec. 12.1, pp. 982-986; 1-39 odd, 40-44, 45-57
odd, 58, 59, 61
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Sec. 12.2, pp. 995-996; 1-41 odd
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Sec. 12.3, pp. 1004-1007; 1-18, 19-57 odd, 58,
59-63 odd
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Sec. 12.4, pp. 1019-1021; 1-37 odd, 39-42
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Sec. 12.5, pp. 1028-1030; 1-35 odd, 37-41, 45
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Sec. 12.6, pp. 1040-1042; 1-31 odd, 39-44
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Sec. 12.7, pp. 1049-1050; 1-29 odd
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Sec. 12.8, pp. 1058-1062; 1-45 odd, 51
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Sec. 12.9, pp. 1070-1071; 1-21 odd
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Chap. 12 Review, pp. 1071-1073; 1-43 odd
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Sec. 13.1, pp. 1088-1090; 1-10, 11-49 odd
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Sec. 13.2, pp. 1099-1101; 1-31 odd
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Sec. 13.3, pp. 1109-1111; 1-31 odd
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Sec. 13.4, pp. 1114-1115; 1-13 odd
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Sec. 13.5, pp. 1125-1127; 1-33 odd
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Sec. 13.7, pp. 1143-1144; 1-35 odd, 39, 40
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Sec. 13.8, pp. 1150-1151; 1-35 odd, 39, 40, 41
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Chap. 13 Review, pp. 1163-1165; 1-51 odd
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Sec. 14.1, pp. 1175-1176; 1-11 odd, 13-16, 17-35 odd, 36
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Sec. 14.2, pp. 1186-1188; 1, 2, 5-8, 11-19 odd,
20, 21-33 odd
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Sec. 14.3, pp. 1196-1197; 1-29 odd
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Sec. 14.4, pp. 1205-1206; 1-23 odd, 24, 25, 27
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Sec. 14.5, pp. 1214-1215; 1-21 odd
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Sec. 14.6, pp. 1221-1222; 1-17 odd, 18, 19-27 odd
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Sec. 14.7, pp. 1231; 1-13 odd, 14, 15-19 odd, 20
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Chap. 14 Review, pp. 1232; 1, 3, 5, 9-17 odd, 23-29 odd
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Tests:
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Three 50-minute tests (tentatively scheduled for 09/27/99, 10/29/99,
and 11/19/99) and a comprehensive
final exam (Saturday, December 18, 8:00AM-10:00AM).
If you feel that an error was made in the grading of a test, you
should explain the error on a separate sheet of paper and return both
it and the test to me within three class periods after the test is
returned to you.
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Grades:
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Course grade will be calculated as follows.
| Core Calculus Test | 5% |
| Tests | 60% |
| Exam | 30% |
| Class Participation | 5% |
The course letter grades will be calculated as follows.
| 90-100 | A |
| 80-89 | B |
| 70-79 | C |
| 60-69 | D |
| 0-59 | F |
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Final Word:
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Math is not a spectator sport.
What you learn from this course and your final grade depend mainly on
the amount of work you put forth.
Daily contact with the material through homework assignments and
review of notes taken during lectures is extremely important.