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Advanced College Algebra & Trigonometry
Syllabus
DESCRIPTION:
Advanced Algebra and Trigonometry includes topics of pre-calculus. This
course and its predecessor College Algebra and Trigonometry are intended
as preparation for the Calculus sequence. It is designed primarily for liberal
arts students and students in the technologies and pre-engineering wishing
to strengthen their algebra and trigonometric skills.
CATALOG COURSE DESCRIPTION:
MAT140 Advanced Algebra and Trigonometry: the second course in a 2-semester
sequence; 4 credit hours; a continuation of MAT130. Advanced topics in
algebra and trigonometry are covered. 4 class hours per week or 3 class
hours plus a 2-hour lab per week. Prerequisite: "C" or better
in MAT130 (MA5621) or equivalent.
COURSE REQUIREMENTS:
1. To attend classes and take an active part in them.
2. To read, analyze, complete, understand, and question assigned work.
3. To take all scheduled quizzes and hour exams, and the final exam.
COURSE OBJECTIVES:
Upon completion of this course, the student should be able to express
her/himself clearly and precisely using mathematical vocabulary and should
be able to:
1. find the zeros of a polynomial function of higher degree for use in
math models
2. graph rational functions with horizontal, vertical, or slant asymptotes
3. graph the four conic sections and use them to solve applied problems
4. graph polar equations, transform from polar to rectangular coordinates
and equations, and transform from rectangular to polar coordinates and
equations
5. graph logarithmic and exponential functions and solve logarithmic and
exponential equations for use in applied problems
6. add, subtract, multiply, and find the inverses of matrices
7. use matrices to model a variety of real life problems
8. find the sum and the nth term of arithmetic and geometric sequence
9. use math induction to prove formulas
10. apply the Binomial Theorem to find the coefficients of (x + y)n
TOPICS:
¨ polynomial functions; graphs and zeros
¨ rational functions, conic sections and polar functions
¨ exponential and logarithmic functions
¨ analytic trigonometry
¨ matrices
¨ sequences
REQUIRED MATERIALS:
Text: College Algebra and Trigonometry; 4th Edition, by Aufmann,
Barker, Nation. Houghton Mifflin Company and accompanying student solutions
manual.
Calculator: All students will be required to have a graphing calculator.
There are many appropriate models made by Hewlett Packard, Sharp, Casio,
Texas Instruments, etc., but in class and in your textbook there will
be specific instructions with respect to the use of the TI-83 graphing
calculator. If you have another type of graphing calculator, you will
be responsible for it's use in performing computational analysis. Make
sure you have the user's manual. See instructor for suggestions. A limited
number of graphing calculators are available for use at the college.
ATTENDANCE:
Attendance is mandatory. Students are expected to attend each meeting
of each class in which they are enrolled. The class instructor has full
and final authority to decide whether a student is permitted to make up
work missed through absence, and on what terms (Please see the Student
Handbook).
STUDENT RESPONSIBILITIES: All students are expected to take an
active role in their learning. Notes should be taken in every class and
studied before assigned problems are attempted. Homework, though not collected,
should be done immediately after each class session. For every hour spent
in the classroom, two hours of homework/studying are expected. Difficulties
with a particular assignment should be taken care of before the next scheduled
class session. (Drop by the Math Center with your questions.) My goal
is to help you have a successful semester and your active participation
is a necessary step towards achieving that goal.
ACADEMIC ETHICS AND PLAGIARISM:
The college expects all students to maintain high standards of academic
honesty and integrity. Plagiarism in any form is not to be tolerated.
Plagiarism is defined by the college to be the use of any person's work
or ideas as though the work or ideas were your own, without giving the
appropriate credit (Please see the Student Handbook). Any student found
in violation of this policy may be given an F for the course.
MATH CENTER C201:
The Math Center is available for your use during the semester. Assistance
will be provided on a drop-in basis. The hours during which the center
is open will be posted on the door. If you are falling behind on the coursework
or are having difficulty understanding a particular concept or exercise,
go in for some extra help. For information, call (978)556-3848 (Haverhill)
or (978) 738-7425 (Lawrence).
METHODS OF INSTRUCTION:
Methods of instruction will include introduction of material, cooperative
learning, use of technology in the classroom, peer sharing and modeling.
As always, there will be an open student dialogue in every class session.
CLASSROOM CONDUCT:
Freedom to teach and freedom to learn are inseparable facets of academic
freedom. The freedom to learn depends upon appropriate opportunities and
conditions in the classroom, on the campus and in the larger community.
The responsibility to secure and to respect general conditions conducive
to the freedom to learn is shared by all members of the academic community
- students, faculty and staff members. Therefore, if in the judgment of
the instructor or designee, persons are attempting to interfere with the
freedom of movement or speech of members of the classroom community, to
the orderly operation on the classroom, the instructor is authorized to:
1. advise such persons of the impropriety of activity and request immediate
desistance from such activity.
2. if such persons fail to desist, call the appropriate authority to remove
those so interfering.
3. suspend temporarily such members of the college community who have
participated in such interference and persist in such activity.
4. grant as soon as possible a hearing before an appropriate committee
to any persons appealing such suspension; following such a hearing the
committee will make a recommendation to the President or designee.
5. taking into account the committee's recommendations the President or
designee will determine disposition of the case. (Please see Student Handbook)
GRADING:
There will be five hour exams, quizzes/graded assignments, and a comprehensive
final examination. Quizzes and graded assignments will be averaged together
and counted as the equivalent of an hour exam. There will be no make-up
exams administered. A missed exam is assigned a grade of zero. To compensate,
the lowest of the five hour exams will be dropped. The grade for the course
will be computed as follows:
| Exams: |
50% |
| Quizzes /Graded Assignments: |
20% |
| Final Examination: |
30% |
| Total: |
100% |
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NECC Grading System
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Grade
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Quality Points
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Numeric Range
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A
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4.00
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93-100
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A-
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3.70
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90-92
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B+
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3.30
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87-89
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B
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3.00
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83-86
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B-
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2.70
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80-82
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C+
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2.30
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77-79
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C
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2.00
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73-76
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C-
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1.70
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70-72
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D+
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1.30
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67-69
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D
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1.00
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60-66
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F
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0.00
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£ 59
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*The following grades do not affect a student's grade
average:
W Withdrawal from course by student within Period 2 (please see
Academic Catalog and Calendar)
NW Student is withdrawn (NP'd) by instructor (please see Academic
Catalog and Calendar)
FW Withdrawal from course by student (please see Academic Catalog
and Calendar)
*If there is a student in this class who has needs because
of a learning disability or other kinds of disabilities, please feel free
to come to discuss this with me and/or directly contact the Learning Accommodations
Center, F113 (Student Center), (978) 556-3654. This is voluntary and only
if you wish to have accommodations.
DELAYED OPENING/LATE START:
If a delayed opening is announced over the television or radio, the classes
scheduled before the delayed start time are cancelled. Classes beginning
after the start time are held. Please contact the School Announcements
number at (978) 556-3002 or (978) 556-3003 [TTY] for further information.
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