Northern Essex Community College
 
Mathematics Department

Advanced College Algebra & Trigonometry

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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%

 

NECC Grading System
Grade
Quality Points
Numeric Range
A
4.00
93-100
A-
3.70
90-92
B+
3.30
87-89
B
3.00
83-86
B-
2.70
80-82
C+
2.30
77-79
C
2.00
73-76
C-
1.70
70-72
D+
1.30
67-69
D
1.00
60-66
F
0.00
£ 59

*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.

   

© Stephen Proeitti 2001