Description:

This course focuses on arithmetic and algebraic manipulation, equations and inequalities, graphs, and analysis of equations and graphs. Students will simplify arithmetic and algebraic expressions, including those containing rational expressions, rational exponents, radicals and complex numbers; solve equations and inequalities including linear, quadratic, quadratic in form, as well as those containing rational expressions, radicals or absolute value; graph linear inequalities and basic conics; and analyze functions and nonfunctions. 3 or 5 hrs.lecture/wk. This course may be offered as a Learning Communities (LCOM) section, see current credit schedule for LCOM details.

Associated Costs: These are additional (out-of-pocket) expense considerations that students should expect in addition to the course tuition, fees, and textbooks. $0 to $100.

Supplies: Refer to the instructor's course syllabus for details about any supplies that may be required.

Textbook(s): For information see - http://bookstore.jccc.net

Course Fees: NONE

Course Objectives:

Upon successful completion of this course the student should be able to:

1. Factor algebraic expressions.
2. Simplify arithmetic and algebraic expressions including those containing rational expressions, rational exponents, radicals, or complex numbers.
3. Evaluate functions.
4. Solve equations in one variable including quadratic, quadratic in form, and those containing rational expressions, radicals, or absolute value.
5. Solve equations in more than one variable including systems of linear equations and literal equations.
6. Solve equations developed from applications.
7. Solve inequalities in one variable including linear, quadratic, and those containing rational expressions.
8. Graph linear inequalities and basic conics on a coordinate plane.
9. Construct equations of lines and circles.
10. Identify shapes of conics and characteristics of functions and non-functions.

Content Outline & Competencies:

I. Arithmetic and Algebraic Manipulation
   A. Factor quadratic in form expressions, sum of cubes expressions,
difference of cubes expressions, and expressions that require alternate
grouping
   B. Perform addition, subtraction, multiplication, and division on
rational expressions
   C. Simplify complex fractions
   D. Apply the laws of exponents to simplify expressions containing
rational exponents
   E. Apply the laws of radicals to perform addition, subtraction, and
multiplication
   F. Rationalize denominators containing radicals
   G. Simplify radicals containing negative radicands 
   H. Perform addition, subtraction, multiplication, and division on
complex numbers
   I. Evaluate functions including combinations and composite functions

II. Equations and Inequalities
   A. Solve linear inequalities in one variable showing solutions on a
number line and in interval notation
   B. Solve literal equations that require factoring  
   C. Solve systems of linear equations in two variables
   D. Solve systems of linear equations in three variables 
   E. Solve quadratic equations by completing the square
   F. Solve quadratic equations by using the quadratic formula
   G. Solve equations that are quadratic in form
   H. Solve quadratic inequalities in one variable showing solutions on a
number line and in interval notation
   I. Solve equations containing rational expressions
   J. Solve inequalities containing rational expressions showing solutions
on a number line and in interval notation
   K. Solve equations containing radicals
   L. Solve absolute value equations in one variable 
   M. Solve equations developed from mixture, motion, work, and geometry
applications

III. Graphs on a coordinate plane
   A. Graph linear inequalities
   B. Graph quadratic equations
   C. Graph circles
   D. Graph ellipses and hyperbolas centered at the origin

IV. Analysis of equations and graphs
   A. Construct an equation of a line given two points
   B. Construct an equation of a line perpendicular to a given line
through a specific point
   C. Construct an equation of a line parallel to a given line through a
specific point
   D. Construct an equation of a circle given its center and radius
   E. Calculate the distance between two points
   F. Determine the center and radius of a circle by completing the
square
   G. Identify the shape of a basic conic given its equation
   H. Distinguish between functions and non-functions using the vertical
line test 
   I. Identify the domain and range of a function given its graph

Methods of Evaluation of Competencies:

Evaluation of student mastery of course competencies will be accomplished using the following methods:

 Unit Exams, Unit Papers and/or Unit Projects  40% - 80%
 Homework, Quizzes and/or Small Projects        0% - 50%
 Final Exam**                                  10% - 40%

**The final exam must count at least as much as any unit exam, unit paper
or unit project.  In any course where unit exams are not proctored, the
instructor may require that the student score at least a 70% on the final
exam to earn a ‘C’ for the course.  At the instructor's discretion,
the grade on all or any part of the final exam may replace any lower test
score.

Caveats:

1. The majority of mathematics courses are sequential. Students must earn a grade of C or higher in a prerequisite mathematics course to progress to its subsequent mathematics course.
2. In accordance with the assertion made on your billing statement, during the first two weeks of the semester, if a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course. He/she will be allowed to enroll in the appropriate lower level math course on a space available basis with an even exchange of tuition. After the first two weeks, students who have not met the prerequisite(s) will be dropped from the course with no refund of tuition.

Disabilities:

If you are a student with a disability, and if you will be requesting accommodations, it is your responsibility to contact Access Services. Access Services will recommend any appropriate accommodations to your professor and his/her director. The professor and director will identify for you which accommodations will be arranged.

JCCC provides a range of services to allow persons with disabilities to participate in educational programs and activities. If you desire support services, contact the office of Access Services for Students With Disabilities (913) 469-8500, ext. 3521 or TDD (913) 469-3885. The Access Services office is located in the Success Center on the second floor of the Student Center.