CCBC Essex Mathematics and Science Division
MATH 253 Calculus III Section: EB1
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CLASSROOM LOCATION: L308 Semester: Fall 2009
TEXT(S): Calculus Early Transcendental Functions by Larson Edition 4
Houghton Mifflin
Instructor: Xianghao Cui Meeting times: MWF 8:00 – 9:35
Phone: (443)840-1359 Email:xcui@ccbcmd.edu Office: F421
WEBPAGE: http://faculty.ccbcmd.edu/~xcui/xcui.html
Office hours: M 10:00 – 11:00, 1:00 – 2:00
T 10:00 – 11:00
W 10:00 – 11:00, 1:00 – 2:00
AND BY APPOINTMENT
Course Pre-requisites:. MATH 252 or consent of instructor
COURSE DESCRIPTION
Covers the major topics of third semester Calculus, including functions of several variables, differentiation and integration, vectors, vector fields, parameterization, Green’s Theorem, and applications.
Exam: There will be three one-hour exams during the semester(TBA), in addition to the final. Make-up Exams will not be given except under very unusual circumstances.
Quizzes: Quizzes will be given every Friday. Quizzes are based on the homework assignments. The lowest of quiz grades will be dropped. There will be no quiz makeups.
Homework: The list of assignments is an overall guideline for the course. Although home-works will
not be collected, it is extremely important that you keep pace with the assignments. Try
to solve problems as many as you can.
Attendance: You are expected to attend all scheduled classes. It is extremely important that you come to class in order keep up with the material and to understand my expectations.
Grades: Quizzes 15%
Three hourly exams 60%(20% for each exam)
Final 25%
90 – 100 A
80 – 89 B
70 – 79 C
60 – 69 D
Under 60 F
CALENDAR:
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FALL 2009 |
FULL Term |
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Classes BEGIN |
August 31 |
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50% refund ends |
September 18 |
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Last day to withdraw with “W” or change to audit “AU” |
November 6 |
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Thanksgiving Holiday - NO CLASSES |
November 26-29 |
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Last day of classes |
December 12 |
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Final Exams |
December 13-19 |
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Math 253 EB1 Practice Problems Fall 2009
A lot of problems have been assigned. Ideally, you should attempt every problem. Although homework will not be collected, it is extremely important that you keep pace with the assignments, try to solve as many problems as you can.
Section: Practice Problem
11.1 1, 5, 9, 17, 23, 29, 31, 33, 37, 41, 47, 51, 55, 65, 69, 83, 85
11.2 7, 9, 13, 17, 21, 25, 29, 35, 37, 45, 53, 55, 57, 65, 69, 71, 73, 81, 85
11.3 3, 5, 9, 11, 13, 19, 23, 27, 31, 35, 43, 45, 47, 49
11.4 1-15 every other odd, 27, 29, 33, 43, 45, 53 – 55, 61, 63
11.5 1, 3, 5, 9, 13, 15, 17, 19, 21, 23, 25, 27, 35, 37, 41 – 61 every other odd, 83, 89
11.6 1 – 6, 7, 9, 45 – 49 odd
11.7 3, 9, 15, 25, 31, 37, 45, 53, 59, 65, 97, 105, 109
12.1 3, 9, 11, 13, 15, 17 – 2069, 71, 75
12.2 1, 7, 9, 11, 15, 21, 25, 29, 39, 45, 51, 55, 57, 63, 67, 75
12.3 3, 7, 9, 13, 15, 19, 21, 27, 35, 41, 43
12.4 3, 5, 9, 13, 15, 19, 23, 27, 33, 37, 41, 45, 51, 55
12.5 3, 7, 9, 13, 21, 25, 29, 33, 39, 41
Exam I
13.1 1, 3, 7, 11, 15, 17, 21, 31, 33
13.2 3, 7, 11, 15, 19, 21, 23, 33, 34, 49, 50
13.3 5, 9, 13, 17, 23, 33, 35, 37, 45, 51, 55, 59, 61, 65, 77, 81
13.4 3, 7, 11, 17, 19
13.5 1 – 43 every other odd
13.6 1 – 45 every other odd
13.7 3, 7, 11, 13, 15, 19, 23, 27, 31, 33, 41, 45
13.8 1 – 15 every other odd, 31, 45, 47, 53, 55
13.9 1, 3, 5, 7, 9, 11, 13, 14
13.10 5, 7, 9, 11, 15, 17, 19, 21
14.1 1 – 61 every other odd
14.2 7 – 41 every other odd
14.3 1 – 31 every other odd
Exam II
14.4 3, 5, 11, 13, 17, 21, 31, 33
14.5 1, 3, 5, 7, 9, 11, 13, 15, 19, 21
14.6 3, 5, 13, 15, 17, 21, 23, 27, 33
14.7 1, 3, 5, 9, 11, 13, 15, 17, 21
14.8 3, 7, 9, 11, 13, 15, 17, 21
15.1 1, 5, 9, 13, 21, 27, 31, 35, 43, 51, 57, 69
15.2 1, 5, 7, 9, 11, 13, 15, 17, 21, 25, 27, 29, 35, 37
15.3 1 – 37 every other odd
15.4 3, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27,
15.5 1, 3, 5, 7, 9, 13
15.6 1, 3, 5, 7, 9, 11, 15, 19, 23
15.7 1, 3, 5, 7, 9, 13, 17, 21, 23,
15.8 1 – 25 odd
Exam III
Review and Final Exam
Course Objectives
Upon successful completion of this course, students will be able to:
1. define and apply differentiation and integration rules to various multi-variable functions (I, 2);
2. express concepts of differentiable and integral multi-variable calculus using appropriate
terminology (I, 2);
3. define vectors and vector fields and compare their definitions to lower dimension analogs (I, 2);
4. define the parameterization of surfaces and solids (I, 2);
5. express mathematical information in table, graphical, formulaic, and written formats (III, VI, 2, 3);
6. apply a working knowledge of mathematical applications relevant to such fields as mathematics,
engineering, science, and computer science (III, IV, 3, 4, 6);
7. apply course-related mathematical theories in order to make informed decisions in real life
situations (III, V, 1, 6, 7);
8. analyze data and determine an appropriate math function that describes the data(II,VI, 2, 3);
9. apply appropriate technology, such as graphing calculators and computer algebra system software,
to solve mathematical problems (IV, 4, 5);
10. identify efficient and inefficient methods for problem solving (VI, 3);
11. utilize the Internet and other resources to research course-related topics (I, IV, VI, 3, 4);
12. examine the mathematical contributions made by people from diverse cultures throughout history
(V, 5);
14. articulate a solution to mathematical problems (II, 2).
Major Topics
1. Functions of several variables
A. Graphs of functions of several variables
B. Contour diagrams
C. Linear functions
D. Limits and continuity
2. Vectors
A. Displacement vectors and vectors in general
B. Dot product and cross product
3. Differentiating functions of several variables
A. Partial derivative: estimate from graph and table; compute algebraically
B. Local linearity and the differential
C. Gradients and directional derivatives in the plane and space
D. Chain Rule
E. Second-order partial derivatives
F. Taylor Approximations for functions of several variables
4. Optimization
A. Local extrema
B. Global extrema: unconstrained optimization
C. Constrained optimization: Lagrange multipliers
5. Integrating functions of several variables
A. Iterated integrals and triple integrals
B. Double integrals in polar coordinates
C. Change of variables in a multiple integral
6. Parameterized curves and surfaces
A. Vector-valued functions
B. Parameterized curves and surfaces
C. Motion, velocity, and acceleration
D. Implicit function theorem
7. Vector fields
A. Definition of a vector field
B. Flow of a vector field
C. Divergence of a vector field
D. Divergence Theorem
E. Curl of a vector field
F. Stokes Theorem
8. Other Integrals
A. The idea of a line integral
B. Computing line integrals over parameterized curves
C. Gradient fields and path-independent fields
D. Path-dependent vector fields and Green's Theorem
E. The idea of a flux integral
F. Flux integrals over parameterized surfaces
Rationale
For many students of mathematics, Calculus 3 is their first exposure to functions whose domain space is multi-dimensional. These students come to realize that the mathematics that they have studied prior to Calculus 3 offered only a narrow view of the world, upon which Calculus 3 generalizes. Moreover, not many students end their mathematical studies with Calculus 3, as it is a crucial gateway into the higher sciences, such as physics, engineering, astronomy, chemistry, etc., as well as higher mathematics.
Attendance policy
Attendance at each class and lab is essential. Please be on time. Students with a legitimate problem about attendance should discuss the situation with their instructor.
NOTE: The deadline for withdrawing from a course or changing to an audit for the SPRING 2009 semester is
April 20, 2009. Failure to officially withdraw from a class you have stopped attending may result in an "F" grade.
COURSE REPEAT POLICY
Policy on Repeated Courses, page 194 of the 2004-2006 CCBC catalog states, “Students may repeat a course only once without permission. When a student repeats a course, only the higher grade is computed into the Quality Point Average (QPA). All grades will remain on the student’s transcript. Before a student is permitted to register for the course for a third time, the student must have the permission of the academic dean responsible for the course. Before a student may repeat a developmental course that he or she has failed twice, the student’s record must be reviewed by a support team which will make recommendations regarding enrollment.” Please note: The instructor does not have the authority to grant permission to register for a third attempt at the course.
Disabled Students
In accordance with the Americans with Disabilities Act, CCBC is committed to providing an environment that is conducive to learning for all students. Any student who is disabled and requires special accommodation should contact the appropriate campus as follows:
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Campus: |
Office: |
Room: |
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Catonsville |
Office of Disabilities Support Services |
K-200 |
443-840-4408 |
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Dundalk |
Office of Career and Life Planning |
A-100 |
443-840-3774 |
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Essex |
Office of Disability Support Services |
A-210 |
443-840-1741 |
Code of Academic Integrity For the College to make its maximum contribution as an institution of high learning, the entire college community must uphold high standards of integrity, honesty, and ethical behavior. In seeking the truth, in learning to think critically, and in preparing for a life of constructive service, honesty is imperative. Each student has a responsibility to submit work that is uniquely his or her own, or to provide clear and complete acknowledgement of the use of work attributable to others. To these ends, the following actions are expected of students:
· Complete all work on exams without assistance.
· Follow the professor’s instructions when completing all class assignments.
· Ask for clarification when instructions are not clear.
· Report to the instructor any unauthorized information related to an exam.
· Provide proper credit when quoting or paraphrasing.
· Submit only one’s own work.
Students who do not accept responsibility for the integrity of their own work will experience sanctions, including a written reprimand, failure of the assignment, failure of the course, and/or dismissal from the program. For repeat and extreme offenses, the College reserves the right to suspend or expel students.
Writing Policy
The College recognizes that clear, correct, and concise use of language is characteristic of an educated person. Therefore, whenever possible, faculty members in all disciplines should require written assignments in their courses in order to encourage effective writing by their students. Also, instructors should consider the quality of writing in determining a grade for a written assignment. Poor writing can be a sufficient cause for a failing grade on a paper and, in extreme cases, a failing grade in a course.
WEATHER CLOSINGS
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Catonsville, Dundalk, Essex |
443-840-1711 |
TUTORING SERVICES
Students are encouraged to seek help from their instructors whenever they encounter academic difficulty (either during scheduled office hours or by appointment). In addition, each campus offers free academic support services. For more information, contact:
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Campus: |
Office: |
Room: |
Phone: |
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Catonsville |
Tutoring Services |
F-200 |
443-840-4420 |
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Dundalk |
Tutoring Services |
CAR-530 |
443-840-3572 |
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Essex |
Student Success Center |
A-307 |
443-840-1820 |
CIVILITY AND COMMUNITY BUILDING EXPECTATIONS
As members of the CCBC community of learners, we are expected to act with respect, honesty, responsibility and accountability. Each of us is expected to be aware of the impact our behavior has on the community. CCBC wishes to each learner to commit to the following actions:
• Become an active and engaged learner
• Celebrate the richness of our diversity
• Respect the campus and its code of conduct
• Practice empathy and compassion
• Promote the empowerment of others