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MAT
122 GENERIC COURSE SYLLABUS
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Effective
Date: Fall 2004
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Instructor:
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Campus:
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Room:
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Office
Hours:
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Phone:
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I.
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Course Prefix
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Course Number
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Course Name
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Credit
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Lecture
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Lab
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MAT
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122
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Trigonometry
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3
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3
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0
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II.
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Prerequisites:
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MAT 053
or geometry proficiency; and MAT 120 or
the equivalent with a grade of C or better; or an appropriate score on the
OCC Mathematics Assessment Test.
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III.
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Course Description:
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Course presents applied and analytic aspects of trigonometry. Content includes radian measure, trigonometric functions and their inverses, identities, graphs, equations, triangles, vectors with applications and complex numbers.
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IV.
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Course Objectives:
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A. Understand the concepts of
relations and functions.
B. Understand the basic characteristics and graphs for the trigonometric and
inverse trigonometric functions.
C. Apply algebraic techniques to trigonometric expressions, identities, and
triangles.
D. Understand the concepts associated with vectors and their operations.
E. Understand parametric equations.
F. Understand polar equations.
G. Use technology for graphing and evaluating functions:
1. Generate the complete graphs for the trigonometric and inverse functions.
2. Solve equations involving
trigonometric and inverse functions.
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V.
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Academic Integrity:
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Students, Faculty and
administration at Oakton Community
College are
required to demonstrate academic integrity and follow Oakton's Code of
Academic Conduct. This code prohibits:
- cheating,
- plagiarism (turning in work
not written by you or lacking proper citation),
- falsification and
fabrication (lying or distorting the truth),
- helping others to cheat,
- making unauthorized changes
in official documents,
- pretending to be someone
else or having someone else to pretend to be you,
- making or accepting bribes,
special favors, or threats, and any other behavior that violates
academic integrity.
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There are serious consequences
to violations of the academic integrity policy. Oakton's policies and
procedures provide students with a fair hearing if a complaint is made. If
you are found to have violated the policy, the minimum penalty is failure on
the assignment and a disciplinary record will be established and kept on file
in the office of the Vice President for Student Affairs for a period of 3
years.
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Details of the Code of Academic
Conduct can be found in the Student Handbook.
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VI.
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Outline of Topics:
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A.
Trigonometric Functions
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1.
Measurement of angles
2. Definition of Trigonometric Functions
a. Right triangle definition
b. Circular definition
3. Graphs of sine and cosine functions
4. Graphs of the other trigonometric functions and their graphs
5. Inverse trigonometric functions and their graphs
6. Trigonometric Identities
a. Pythagorean Identities
b. Sum and Difference Formulas
c. Multiple and Half Angle Formulas
d. Sum to Product; Product to Sum
7. Solving trigonometric equations
8. Applications
a. Complex numbers and their trigonometric form
b. Solving right triangles
c. Law of Sines;
Law of Cosines
d. Roots and powers of complex numbers
e. Polar coordinates
f. Parametric equations
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B.
Vectors and Dot Products
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1. Geometric and
algebraic representation
2. Basic operations with vectors
3. Applications
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C.
Technology
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1.
Generate the complete graph of each trigonometric and inverse trigonometric
function, including setting a proper window, tracing and zooming.
2. Graphically locate the x-intercepts, the relative extrema
and determine asymptotic behaviors.
3. Graphically, numerically and/or symbolically solve equations.
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VII.
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Methods of Instruction:
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(To be completed by
instructor)
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Methods of presentation
can include lectures, discussion, demonstration, experimentation, audiovisual
aids, group work, and regularly assigned homework.
Calculators / computers will be used when appropriate.
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VIII.
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Course Practices Required:
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(To be completed by
instructor)
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Course practices include attending class,
completing homework assignments, participating in discussions and taking
quizzes and exams.
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IX.
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Instructional Materials:
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Required
Textbook:
Lial, Custom Trigonometry, 0-536-52910-8
Publisher: Addison
Wesley
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Required
Materials:
None.
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X.
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Methods of Evaluating Student Progress:
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(To be determined and
announced by the instructor)
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Evaluation methods can include assignments,
quizzes, chapter or major tests, individual or group projects, computer
assignments and/or a final examination.
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XI.
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Other Course Information:
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Individual instructors will
establish and announce specific policies regarding attendance, due dates and
make-up work, incomplete grades, etc.
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If you have a
documented learning, psychological, or physical disability you may be
entitled to reasonable academic accommodations or services. To request
accommodations or services, contact the ASSIST office in Instructional
Support Services. All students are expected to fulfill essential course
requirements. The College will not waive any essential skill or requirement
of a course or degree program.
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Effective
Beginning Term:
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Ending
Term:
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(term)
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(year)
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(term)
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(year)
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Prepared
by:
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N.
Ressler, Chair; R. Diprizio;
P. Boisvert; A. Legere;
C. Murphy; S. Stock
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Date:
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Reviewed
by Department
/Program Chair
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Date:
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Approved
by Dean:
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Date:
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