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COMPREHENSIVE COURSE GUIDE FOR INTERMEDIATE ALGEBRA
CATALOG DESCRIPTION
This course is designed to prepare students for college level mathematics
courses. Topics include rational expressions, graphing
lines and parabolas , function notation, integral and rational exponents, solving
absolute value and quadratic equations and
inequalities , solving rational and radical equations , problem solving involving
linear equations, rational equations, quadratic
equations, and systems of equations in two variables, and writing equations of
lines. Additional topics include operations with
radicals and complex numbers, geometric concepts, and calculator usage .
REQUIRED TEXT
Beginning and Intermediate Algebra, 4_{th} Ed. By Lial, Hornsby, & McGinnis.
Addison Wesley Longman.
(A TI83 or 84 graphing calculator is required.)
OPTIONAL MATERIALS AND HELP FOR STUDENTS
• Free tutors in Learning and Tutoring Center (formerly ISS)
• My MathLab.com Access Code (If required, indicate this in the syllabus—free
with new textbook or may be
• purchased separately for used text; instructor must provide course ID)
• Student Solutions Manual for Beginning and Intermediate Algebra, 4_{th} Ed. Lial,
Hornsby & McGinnis,
• AddisonWesley.
• Video Lectures on DVD with Solution Clips for Beginning and Intermediate
Algebra, 4_{th} Ed., Lial, Hornsby
• & McGinnis, Addison Wesley.
• Video Lectures on CD with Solution Clips for Beginning and Intermediate
Algebra, 4_{th} Ed., Lial, Hornsby &
• McGinnis, AddisonWesley.
• MathXL Tutorials on CD for Beginning and Intermediate Algebra, 4th Ed., Lial,
Hornsby & McGinnis,
• AddisonWesley.
SUPPLEMENTARY MATERIALS
• In the nonprint section of the LRC: videotapes and CD ROMS of the videotapes
• On the Internet: My MathLab.com (free user ID with new textbook or may be
purchased separately, must
• obtain course ID from instructor)
• By phone: Math Tutor Center (a 1800phone number available only after student
has logged into the
• MyMathLab.com)
GENERAL COURSE PURPOSE
To provide the student with the necessary skills and techniques to be successful
in college level mathematics as well as
to provide the student with skills to apply these concepts to real world
problems.
COURSE CONTENT
1. Review of selected MATH 0097 topics
2. Rational Expressions and Equations
3. Absolute value and quadratic equations in one variable
4. Radical expressions and equations and complex numbers
5. Absolute value and nonlinear inequalities in one variable
6. Linear equations in two variables
7. Geometric concepts
8. Function notation and parabolas
ENTRY LEVEL COMPETENCIES
Upon entering this course, the student should be able to do the following:
1. Apply or recognize properties of real numbers (commutative, associative, and
distributive)
2. Classify real numbers as integers, rational, or irrational
3. Perform the four arithmetic operations with signed numbers
4. Determine the absolute value of a numerical expression
5. Construct correct expressions using algebraic symbols and notations from
statements
6. Solve applications whose mathematical models are linear or factorable
quadratics
7. Add, subtract, multiply, divide a monomial, and factor polynomials
8. Solve the following types of equations: linear, factorable quadratic, linear
fractional and linear literal
9. Solve linear inequalities and write the solution set in interval notation.
Graph the solution set on a number
line
10. Graph linear equations in two variables
11. Solve problems involving square roots , absolute value, order of operations ,
and scientific notation with the
aid of a calculator. Use the exponent key
12. Apply laws of exponents for integral exponents
13. Solve problems involving the Pythagorean Theorem, area, perimeter, and
volume, formulas for triangles ,
rectangles, squares, circles, and trapezoids
14. Recognize and apply angle relationships within triangles, quadrilaterals,
vertical, and alternate interior angles
EXPECTED EDUCATIONAL RESULTS
As a result of completing this course, the student will be able to do the
following:
1. Use algebraic symbols and notation to make meaningful statements
2. Add, Subtract, Multiply, and divide rational expressions
3. Solve applications for which linear equations, quadratic equations, and
linear systems are mathematical models
4. Solve the following types of equations:
a. Quadratic with real and nonreal solutions
b. Absolute value of the form ax + b = constant
c. Rational leading to a linear or quadratic
d. Polynomial of degree higher than two by factoring
e. Radical leading to linear or quadratic
5. Solve inequalities, write solution set in interval notation, and graph the
following types:
a. Factorable quadratic
b. ax + b < or > constant
c. Factorable polynomial of degree higher than two
6. Solve a system of linear equations in two variables (having no, one, or many
solutions) by graphing,
substitution , or elimination
7. Perform operations with complex numbers (excluding division)
8. Apply properties of exponents with integral and rational exponents
9. Perform the four basic operations with radicals (excluding rationalizing)
10. Solve problems where students have to apply comprehension of basic geometric
concepts including the
Pythagorean Theorem, formulas for area and perimeter of rectangles, squares, and
triangles
11. Perform the following activities with lines:
a. Use the distance and midpoint formulas
b. Graph equations in standard form and slopeintercept form
c. Compute the slope given two points
d. State the slope given an equation
e. State if lines are parallel or perpendicular from given information
f. Write the equation of a line given information
12. Use a graphing calculator
13. Understand function notation
14. Graph parabolas using a table of values and plotting points
COURSE REQUIREMENTS
To pass MATH 0098, students must satisfactorily meet the following requirements”
1. Complete class assignments, appropriate laboratory assignments, and other
course expectations
2. Average seventy percent (70%) or higher
3. Participate in class
4. Attend class regularly
5. Pass the exit test (COMPASS with a score of 37 or higher) unless notified by
your instructor as exempt.
Students who do not take their required exit examination must repeat the course.
All students who do not pass the
exit test on the first try may take a retest one time only.
NOTE: Grades of A, B, and C indicate satisfactory work.
UNIVERSITY SYSTEM EXIT EXAM
To be permitted to take the Compass exit examination, students must present a
picture I.D. that displays their
social security number or a picture I.D. and an official document that displays
their social security number.
Students who do not pass the Compass exit examination may take it again one
time.
POLICIES
1. Attempts: Students must complete MATH 0097 and MATH 0098 in three attempts
or 12 semester hours, whichever comes first, or they may be suspended from
Georgia Perimeter
College and all University System institutions for three (3) years. Attempts are
cumulative within the
Regent’s System. Prior to suspending a student who has not exited within the
three attempts or 12 semester
hour limit, the student may appeal for two additional attempt. The student must:
• Be individually evaluated and determined to have a reasonable chance of
success
• Be in an exit level course
• Have reached the limit in only one learning support area
During the semester of the first additional attempt (the 4^{th} attempt), the
student may enroll in courses other than
Learning Support (subject to the 20hour limit on the number of college level
credit hours a student may earn before
exiting Learning Support). The student must also attend the math lab at the LTC
at least 2 hours per week to be
considered for an additional attempt. If granted the appeal for the second
additional attempt (5^{th} attempt), the student
may enroll only in MATH 0098.
A student who is granted an appeal for a 4^{th} or 5^{th} attempt in mathematics may
continue attempting Math 0098 with
grades of W as long as the attempts are sequential. If a student sits out for
more than one term, the appeal is invalid
and the student is suspended for 3 years. A student whose appeal is denied will
be suspended for 3 years.=
2. Attendance: In accordance with GPC Policy, instructors will keep accurate
attendance records. Students are expected
to attend all classes regularly and punctually. Students who arrive late should
report to the instructor at the end of
class.
3. Withdrawals:
Note: If you withdraw or are withdrawn from a class, your financial aid
eligibility may be affected.
Always check with a financial aid counselor before you stop attending a class.
a. When withdrawals are initiated by the mid term deadline , students will
receive a grade of W.
b. Students who are taking both Learning Support courses and collegiatelevel
courses and withdraw or are
withdrawn from one or more required Learning Support course before midsemester
will also be withdrawn
from all collegiatelevel courses except HEDS 1011 and activity PE classes. They
may, however, drop the
collegiatelevel course and remain in the Learning Support course(s).
c. Students who are taking only Learning Support courses may withdraw from one
or more of these courses to
reduce course load.
d. Students who withdraw from a Learning Support course after midterm will
receive a grade of WF.
e. Learning Support mathematics instructors will not withdraw students from
their classes under any
circumstances. Withdrawals from Learning Support mathematics classes are solely
the responsibility of the
student.
4. Makeup work: The instructor will determine the makeup policy for this course.
5. Grades: Grades in Learning Support classes will be assigned as follows:
A= 90100 (and pass the COMPASS if required to take it)
B= 8089 (and pass the COMPASS if required to take it)
C =7079 (and pass the COMPASS if required to take it)
IP = 6069 (or did not pass the COMPASS if required to take it)
F = 059
W = Withdrawal by midterm
WF = Student initiated withdrawal after midterm
Note: Students who earn a grade of IP, F, W< or WF must repeat the course. All
grades except W count as
attempts. Grades of A, B, and C are successful attempts. Grades of IP, F, and WF
are unsuccessful attempts.
6. State and federal legislation protect all copyrighted software. Any
reproduction of this software without written
permission is a violation of the law.
7. Academic Respect: The College exists to foster educational excellence. To
this end, a classroom atmosphere, which
supports learning, must be maintained. Students are expected to be active,
attentive participants in the class. Students
are also expected to abide by class policies and procedures and to treat faculty
and other students in a professional,
respectful manner. Students are expected to be familiar with the student conduct
code published in the Student
Handbook.
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