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COMPREHENSIVE COURSE GUIDE FOR INTERMEDIATE ALGEBRA
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 .
Beginning and Intermediate Algebra, 4th Ed. By Lial, Hornsby, & McGinnis. Addison Wesley Longman.
(A TI-83 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, 4th Ed. Lial, Hornsby & McGinnis,
• Video Lectures on DVD with Solution Clips for Beginning and Intermediate Algebra, 4th Ed., Lial, Hornsby
• & McGinnis, Addison Wesley.
• Video Lectures on CD with Solution Clips for Beginning and Intermediate Algebra, 4th Ed., Lial, Hornsby &
• McGinnis, Addison-Wesley.
• MathXL Tutorials on CD for Beginning and Intermediate Algebra, 4th Ed., Lial, Hornsby & McGinnis,
• In the non-print 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 1-800-phone number available only after student has logged into the
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.
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 non-linear 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
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 non-real 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
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 slope-intercept 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
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.
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 4th attempt), the
student may enroll in courses other than
Learning Support (subject to the 20-hour 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 (5th attempt), the student
may enroll only in MATH 0098.
A student who is granted an appeal for a 4th or 5th 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
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 collegiate-level courses and withdraw or are
withdrawn from one or more required Learning Support course before mid-semester will also be withdrawn
from all collegiate-level courses except HEDS 1011 and activity PE classes. They may, however, drop the
collegiate-level 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 mid-term 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
4. Make-up work: The instructor will determine the make-up policy for this course.
5. Grades: Grades in Learning Support classes will be assigned as follows:
A= 90-100 (and pass the COMPASS if required to take it)
B= 80-89 (and pass the COMPASS if required to take it)
C =70-79 (and pass the COMPASS if required to take it)
IP = 60-69 (or did not pass the COMPASS if required to take it)
F = 0-59
W = Withdrawal by mid-term
WF = Student initiated withdrawal after mid-term
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