CCBC Essex Mathematics and Science Division
MATH 251 Calculus I Section: EE1
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CLASSROOM LOCATION: J129 Semester: Fall 2009
TEXT(S): Calculus Early Transcendental Functions by Larson Edition 4
Houghton Mifflin
Instructor: Xianghao Cui Meeting times: MWF 11:15 – 12:45
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 165 or equivalent satisfactory score on the placement test, or consent of instructor
COURSE DESCRIPTION
Covers functions, limits, continuity, derivatives, derivative algorithms, linear approximations, optimization and other applications, area under a curve, definite integrals, the Fundamental Theorem of Calculus, Mean Value Theorem, Rolle’s Theorem, Intermediate Value Theorem.
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 homeworks 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 251 EE1 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: Page Practice Problems
2.1 P.67 1, 3, 5, 7, 9
2.2 P.74 1, 5, 7, 11 – 20, 21 – 25
2.3 P.87 1, 5 – 39 every other odd, 41 – 44, 45 – 63 odd, 69 – 87 odd
2.4 P.98 1 – 19 odd, 25, 29 – 32, 37 – 57 odd, 91 - 94
2.5 P.108 1 - 4, 9 – 53 every other odd
3.1 P.123 1 – 23 every other odd, 33, 35, 37, 39, 57, 59
3.2 P.136 1 – 51 odd, 51 – 65 odd
3.3 P.147 1 – 57 every other odd, 63, 65, 67(a), 69(a), 73, 77 – 79, 83, 97 – 107 odd,
3.4 P.161 1 – 35 odd, 49, 51, 55 – 113 every other odd, 123 – 137 odd
3.5 P.171 1 – 19 odd, 21, 25 – 47 every other odd, 51, 63, 65 – 73 odd
3.6 P.179 1 – 9 odd, 19 – 51 every other odd, 57
Exam I
3.7 P.187 1 – 23 odd, 27, 33, 35
3.8 P.195 1, 3, 5 – 25 every other odd
4.1 P.209 1 – 37 odd, 63 – 65, 69 – 72
4.2 P.216 1 – 23 odd, 43 – 51 odd
4.3 P.226 1 – 53 every other odd, 61 – 79 every other odd
4.4 P.235 1 – 53 every other odd59 – 62, 67
4.5 P.245 1, 3 – 8, 15 – 41 every other odd, 63 – 67, 73
4.6 P.255 1 – 5, 7 – 29 odd
4.7 P.265 1 – 8, 9 – 29 odd, 39 – 51 odd
4.8 P.276 1, 7 – 23, every other odd, 31, 33, 47 – 49
Exam II
5.1 P.291 1 – 55 every other odd, 63 – 71 odd, 77 – 83 odd
5.2 P.303 1 – 19 odd, 31 – 61 every other odd
5.3 P.314 1 – 43 odd, 47, 49
5.4 P.327 1 – 67 every other odd, 87 – 105 odd
5.5 P.340 1 – 37 every other odd, 47 – 121 every other odd
5.6 P.350 1 – 23 every other odd
5.7 P358 1 – 37 every other odd, 49 – 55, 73, 75
5.8 P.366 1 – 53 every other odd, 63 – 69 odd
5.9 P.377 15 – 33 every other odd, 39 – 63 every other odd
7.1 P.452 1 – 31 odd
Exam III
Review & Final
Course Objectives: Upon successfully completing the course students will be able to:
1. Evaluate limits of functions (I, IV, VI, 1,5)
2. Determine continuity and differentiability (I, III, 1,2,3,7)
3. Sketch the graph of the derivative function given the graph of the original function (IV, 1, 3)
4. Determine the derivative of a function from its definition (VI, IV, 1, 3, 7)
5. Determine the derivative of a function by rules (II, 1,6)
6. Sketch a function, using appropriate information (increasing/decreasing functions,
concavity, max/min points, points of inflection) (IV, II, 1,3)
7. Determine optimal values (extrema) (IV, V, 1, 3)
8. Apply the following theorems: Mean Value Theorem, Rolle’s Theorem, and
Intermediate Value Theorem (V, 1, 2, 4)
9. Determine the area under a curve using Riemann sums (IV, 1, 2, 3)
10. Evaluate definite integrals using the Fundamental Theorem of Calculus and change of variables (IV, 1, 2, 4)
11. Examine the mathematical contributions made by people from diverse cultures throughout history. (V, 5)
12. Articulate a solution to mathematical problems. (II, 2)
13. Apply appropriate technology to the solution of mathematical problems. (IV, 4, 5).
14. Determine antiderivatives algebraically, graphically, and numerically (II, IV, 1, 2, 5)
15. Apply the Second Fundamental Theorem of Calculus (I, V, 1, 4)
Major Topics
I. Precalculus review
A. Functions (definition, domain and range)
B. New Functions from old (transformations, composition)
C. Trigonometric functions
II. Limits and continuity
A. The idea of a limit: e & d, intuitive, numerical, graphical and algebraic
B. Limits for trigonometric functions.
C. Techniques for computing limits (indeterminate forms 0/0, ¥ /¥, ¥-¥)
D. Definition of continuity
E. Intermediate Value Theorem
III. Introduction to the Derivative
A. Tangent line and Rate of Change
B. Definition of the derivative at a point and the derivative function
C. Differentiability
D. Second derivative as concavity and higher order derivatives
E. Rolle’s Theorem and Mean Value Theorem
IV. Rules of Differentiation
A. Derivative rules (constant, scalar multiple, sum, product and quotient)
B. Derivative of polynomial, trigonometric and other special functions
C. The Chain Rule
D. Implicit differentiation
V. Using the Derivative
A. Linear approximation and differentials
B. Critical points, extrema and inflection points
C. First and Second Derivative Tests
D. Curve sketching
E. Motion on a straight line (position, velocity and acceleration functions)
F. Optimization problems
G. Related rates
VI. Indefinite Integral
A. Antiderivatives and how to compute them algebraically, graphically, and
numerically
B. Definition of the Indefinite Integral
C. Integral of basic functions
D. Solving Indefinite Integrals by a Change in Variables
VII. Definite Integral
A. Intuitive notion of a definite integral as area under a curve
B. Definition of the definite integral as a Riemann sums
C. Computation of Riemann sums (lower, upper, right, left and midpoint)
D. Estimating the area under a curve using Riemann sums.
E. Evaluate definite integrals using the Fundamental Theorem of Calculus
F. Area between two curves
G. Total distance traveled
Rationale (Instructor’s statement relating course content to student’s personal and academic growth, etc.)
Calculus I is a first course in Calculus sequence. Fundamental concepts of differential calculus are studied in this course. Limits, continuity, derivatives, antiderivatives, extreme problems, area and other applications will be covered in this course. The emphasis in this course will be on problem solving, project developing, and applications. This is one of general education requirement courses for associate of science degree, and transferable to four year colleges.
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 2006 semester is April 19, 2006. 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 |
410-455-4382 |
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Dundalk |
Office of Career and Life Planning |
A-100 |
410-285-9774 |
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Essex |
Office of Special Services |
A-210 |
410-780-6878 |
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