Course Philosophy:
A presentation of advanced algebraic concepts and right triangle trigonometry
for
the student with MA27 or Sequential II competency who plans on taking
subsequent required courses in the Business, Health Careers, Science, or
Mathematics curricula . Topics will include techniques for solving algebraic
statements, graphs and applications of rational, exponential, and logarithmic
functions and polynomials with rational zeros, right triangle trigonometry, and
applications using the Pythagorean Theorem and standard reference angles.
The use of the TI83, TI84, or TI86 graphing calculator is recommended.
College-wide attendance policy: Each student is expected to attend every class
session for which he or she is registered. The student is responsible for all
that
transpires in class whether he or she is in attendance or not. The College
defines excessive absence or lateness as more than the equivalent of one week
of class meetings during the semester.
Attendance policy: Three absences may lead to with drawal from the course .
Students who wish to withdraw must do so officially (via the registrar) by the
official withdrawal date (Monday, April 7th) set in the academic calendar. A
student who wishes to withdraw after mid term will receive a W if he or she is
passing and an F if failing. It is the student’s responsibility to acquire class
notes
and assignments when a class is missed.
Classroom Civility: The classroom experience is a shared one. Class sizes are
relatively large and the potential for distraction is significant for both your
peers
and me. In order to reduce this from occurring, the following guide lines are
given :
a) Arrive on time and do not prepare to leave until the class is dismissed
b) You are not to work (read, write, text message,
collaborate, etc.) on
material that is not directly relevant to the ongoing class activity.
c) Cell phones are to be turned off prior to entering class. Unless you
have a note from your doctor that you are on a heart, kidney, or liver
transplant
list, you do not need your cell phone on. I consider a ringing cell phone a
distraction. Should your cell phone go off during class, you will be asked to
leave
the classroom for the day
d) Leaving class prior to dismissal will count as an absence unless you
are attending to personal hygiene or you have negotiated it with me prior to
class
starting.
e) Sleeping in class is unacceptable. If you feel you will not be able to
stay awake during the whole class, please don’t attend.
f) Conversations with your peers are not to occur unless they are part of
the designated discussion activity.
Student requirements: During each class session I will introduce new topics and
review previous topics. I expect a great deal of participation on the part of
all
students. Homework will be given for every class. The homework will cover new
topics covered in class. You must plan adequate time outside of class to work on
homework and see me or go to the Academic Skills Center (O234) for extra help.
Grading policy: There will be five exams (85%) and a cumulative final (15%).
There will be no makeup exams. Arrangements must be made in advance for
unusual circumstances. I will drop the lowest grade on a test. An absence from
a test will be considered the lowest grade. An absence from a second test will
require me to give a zero as one of your grades. I may give an unannounced
quiz if I believe the class on the whole has not been doing the homework. If you
do the homework, you should have no problem with the quiz.
Calculator policy: The use of a graphing calculator is recommended.
Required textbook:
Precalculus, 4th edition
Michael Sullivan, Michael Sullivan III
Prentice Hall
Topic Outline
Topic 1: Graphs
Distance Formula
Midpoint Formula
Tests for Symmetry
Equation of a Circle
Solving Quadratic Equations
Linear Inequalities
Equations of Lines
Topic 2: Functions and their Graphs
Function Notation
Domain and Range of a Function
Operations on Functions
Even and Odd Functions
TEST 1
Increasing or Decreasing Functions
Local Maxima and Minima
Library of Functions
Graphing Functions Using Transformations
Topic 3: Quadratic and Polynomial Functions
Graphing Quadratic Functions
Vertex and Axis of Symmetry
Power Functions
Analyzing the Graph of a Polynomial Function
TEST 2
Topic 4: Rational Functions
Analyzing the Graph of a Rational Function
Remainder Theorem
Factor Theorem
Rational Zeros Theorem
Intermediate Value Theorem
Complex Zeros
Conjugate Pairs Theorem
TEST 3
Topic 5: Exponential and Logarithmic Functions
Composite functions
One-to-one and Inverse Functions
Evaluating Exponential Functions
Graphing Exponential Functions
Number e
Solving Exponential Equations
Evaluating Logarithmic Functions
Graphing Logarithmic Functions
Solving Logarithmic Equations
Properties of Logarithms
Compound Interest
TEST 4
Topic 6: Trigonometric Functions
Angles and their Measures
Converting from Degrees to Radians
Converting from Radians to Degrees
Exact Values of Trigonometric Functions of 45°, 30°, 60°
Domain and Range of Trigonometric Functions
Period of Trigonometric Functions
Graphs of Sine, Cosine, and Tangent Functions
Amplitude and Period of Sinusoidal Functions
Application of Right Triangle Trigonometry
TEST 5
Final
