MATH120 College Algebra
Department of Science, Technology, Engineering & Mathematics: Mathematics
 I. Course Number and Title
 MATH120 College Algebra
 II. Number of Credits
 4 credits
 III. Minimum Number of Instructional Minutes Per Semester
 3000 minutes
 IV. Prerequisites
 Math Placement Test score of 7 or better or MATH103 (C or better)
 Corequisites
 None
 V. Other Pertinent Information
 A comprehensive departmental final is included in the course.
 VI. Catalog Course Description
 This course is designed to strengthen and increase the understanding of basic algebraic concepts before a student undertakes advanced study in mathematics. Topics include algebra of the real numbers, algebraic, exponential, and logarithmic functions and their graphs, systems of equations, inequalities, and absolute value.
 VII. Required Course Content and Direction


Learning Goals:
Course Specific:
The student will be able to: develop an understanding and apply the concepts and procedures for solving equations and inequalities and for simplifying expressions.
 demonstrate the techniques of solving a variety of applications of equations.
 develop a proficiency in solving linear, quadratic, polynomial, and rational functions, and in mastering techniques for graphing these functions and describing their domain and range.
 develop skill in using a graphing calculator.
 accurately use logarithmic and exponential functions and develop the skill to graph and solve logarithmic and exponential equations.
 simplify algebraic expressions involving operations of arithmetic, exponents, radicals, fractions and factoring of polynomials.
 solve linear, quadratic, polynomial, absolute value, radical, exponential, logarithmic equations and systems of linear equations.
 solve applications of linear and quadratic equations.
 solve linear, quadratic, polynomial, absolute value, and rational inequalities and write the solutions in interval notation.
 graph linear, quadratic, polynomial, exponential, absolute value, radical, logarithmic, and rational functions and conic sections.
 perform operations of functions, find composition of functions, and describe increasing, decreasing, constant intervals, domain, range, and points of discontinuity.
 find equations of lines, given two points, a point and the slope, parallel or perpendicular lines, and a point.
 find the distance between, and the midpoint of, the segment, given two points.
Core Learning Goals:
Category I:
Math or Science: The student will be able to: develop the ability to analyze, interpret, and apply quantitative information.
Core Learning Objectives:
Category I:
Math or Science: The student will be able to: accurately translate descriptive problems into mathematical formulas and solve them. (1)
Category III:
Critical Thinking/Problem Solving: The student will be able to: Demonstrate an understanding of solving problems by:
 recognizing the problem
 reviewing information about the problem
 developing plausible solutions
 evaluating the results

Planned Sequence of Topics and/or Learning Activities:
The following is a list of the minimum amount of course material to be covered by the instructor. Accompanying each topic is an approximate number of lessons required to study the topic.
 Review Topics (12 lessons)
 The Real Numbers
 The Field Axioms
 Operations on Polynomials (+, , x, /)
 Factoring
 Algebraic Fractions (reduction, +, , x, /)
 Exponents (integer, rational)
 Radicals and Radical Expressions
 Complex Numbers
 Solution of Equations and Inequalities (12 lessons)
 First Degree Equations
 Formula Manipulation
 First Degree Inequalities (visualize solution set)
 Absolute Value Equations
 Absolute Value Inequalities
 Quadratic Equations (factoring, completing the square, quadratic formula)
 Quadratic Inequalities
 Radical Equations
 Applications (1st and 2nd degree)
 Rational Inequalities
 Relations and Functions (10 lessons)
 Cartesian Coordinate System and the Distance Formula
 Relations (domain, range, rule, graph)
 Functions (domain, range, rule, graph)
 Functional Notation
 Algebra of Functions (+, , x, /)
 Composition of Functions
 Linear Functions (slopeintercept form, graphs)
 Quadratic Functions
 System of Equations (2x2, 3x3)
 Polynomial Functions (5 lessons)
 Division of Polynomials
 Synthetic Division
 Remainder and Factor Theorem
 Rational Root Theorem
 Graphs of Polynomial Functions
 Rational Functions
 Exponential and Logarithmic Functions (10 lessons)
 Inverse Functions (existence, rule, domain, range)
 Exponential Functions (rule, domain, range)
 Logarithmic Functions (rule, domain, range)
 Laws of Logarithms
 Logarithmic and Exponential Equations
 Applications of Logs

Assessment Methods for Core Learning Goals:
All Core Critical Thinking and Problem Solving, College Level Mathematics or Science, and DisciplineSpecific Course Objectives will be assessed as follows:The student will apply mathematical concepts and principles to identify and solve problems presented through informal assessment, such as oral communication among students and between teacher and students and, for the core, formal assessment using openended questions reflecting theoretical and applied situations.

Reference, Resource, or Learning Materials to be used by Students:
There is a departmentally selected textbook and calculator. The instructor will provide specific details for each section. See Course Format.

 VIII. Teaching Methods Employed
 Primary teaching methods are lecture, recitation, problem solving, and class discussion as appropriate.
Review/Approval Date  3/06; Core Goals/Objectives added 4/04