### MATH 0098

This is an archive of the Common Course Outlines prior to fall 2011. The current Common Course Outlines can be found at http://www.gpc.edu/programs/Common-Course-Outlines.
Credit Hours 4
Course Title Intermediate Algebra
Prerequisite(s) MATH 0097 with a "C" or better or placement by examination
Corequisite(s) None Specified
Catalog Description
This course is designed to prepare students for college level mathematics courses.  Topics include graphing lines and parabolas, function notation, integral and rational exponents, solving absolute value and quadratic equations and inequalities, solving radical equations, problem solving involving linear 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.

Expected Educational Results
As a result of completing this course, the student will be able to:
1.   Use algebraic symbols and notation to make meaningful statements
2.   Solve applications for which linear equations, quadratic equations, and systems are mathematical models
3.   Solve the following equations:
a.   Quadratic with real and non-real solutions
b.   Absolute value of the form:  |ax + b| = constant
d.   Polynomial of degree higher than two by factoring
4.   Solve inequalities, write the solution set in interval notation, and graph the following types:
b.   |ax + b| < or > constant
c.   Factorable polynomial of degree higher than two
5.   Solve a system of two linear equations in two variables (having no, one, or many solutions) by graphing, substitution, or elimination
6.   Perform operations with complex numbers (excluding division)
7.   Apply properties of exponents with integral and rational exponents
8.   Perform the four basic operations with radicals (excluding rationalizing)
9.   Solve problems where students have to display comprehension of basic geometric concepts including the Pythagorean Theorem, area and perimeter
10.   Perform the following activities with lines:
a.   Use the distance and midpoint formula
b.   Graph equations in standard form and slope-intercept form
c.   Find the slope of a line
d.   State if lines are parallel or perpendicular
e.   Write the equation of a line
11.   Use a graphing calculator
12.   Understand function notation
13.   Graph parabolas

General Education Outcomes
1.   This course addresses the general education outcome related to effective individual and group problem-solving and critical-thinking skills as follows:
a.   Students develop their problem-solving skills individually in homework assignments, assigned group problem-solving activities, and group quizzes or project assignments.
b.   Students develop their critical-thinking skills by solving application problems throughout the course.

2.   This course addresses the general education outcome related to the use of mathematical concepts to interpret, understand, and communicate quantitative data.

Course Content
1.   Review of selected MATH 0097 topics
2.   Absolute value and quadratic equations in one variable
3.   Radical expressions and equations and complex numbers
4.   Absolute value and non-linear inequalities in one variable
5.   Linear equations in two variables
6.   Geometric concepts
7.   Function notation and parabolas

Assessment of Outcome Objectives
a.   Evaluation methods vary with instructors, but frequent assessment is desirable through such means as in-class tests, quizzes, lab work,projects and homework. A comprehensive departmental final exam is required. The final exam must count at least one-fourth (1/4) and no more than one-third (1/3) of the course grade. The departmental final exam will be developed by a committee of faculty.

b.   Students with a grade of A, B, or C in MATH 0098 but who fail the exit exam will be given a grade of IP.

2.   DEPARTMENTAL ASSESSMENT
This course will be assessed in the Fall semester every three years.  The assessment instrument will become the final exam.  The assessment instrument will be designed by the college-wide
Learning Support course committee. Multiple choice questions will be written to test the
expected educational results of the course.

3.   USE OF ASSESSMENT FINDINGS
a.   The Learning Support committee will analyze the results of the final exam/assessment instrument and submit a report to the Mathematics, Computer Science, and Engineering Discipline Group by Spring semester.

b.   The Learning Support course committee will recommend to the Mathematics, Computer Science, and Engineering Discipline Group curriculum changes or instructional modifications to enhance student achievement of the desired education outcomes. The assessment summary along with a time line for implementation of approved curriculum changes will be sent to the Director of Institutional Research and Planning and the Mathematics, Computer Science, and Engineering Discipline Group chairperson.

Last Revised: Aug. 08, 2011