MATH103 Intermediate Algebra
Department of Science, Technology, Engineering & Mathematics: Mathematics
Course Number and TitleMATH103 Intermediate Algebra
Number of Credits3 credits
Minimum Number of Instructional Minutes Per Semester2250 minutes
PrerequisitesMath Placement Test score of 5 or MATH095 (C or better)
Other Pertinent InformationThis course will not satisfy the general elective category for students who entered their program or study in or after the 2007 Fall semester.
A comprehensive departmental final examination will be included in this course.
Catalog Course DescriptionThis course provides a preparation for more advanced study in mathematics and related fields. Topics include simplifying algebraic expressions, including fractional and radical expressions, solving linear, quadratic, rational, and radical equations, graphing algebraic functions, and an introduction to logarithms.
Required Course Content and Direction
Learning Goals:Course Specific:
The student will be able to:
- solve linear equations and inequalities, including fractional, absolute value, and literal equations and do relevant applications.
- perform the operations of adding, subtracting, multiplying, and dividing polynomials.
- factor polynomials by distributive property, reverse foil, grouping, the difference of squares, sum and difference of cubes.
- simplify expressions using the rules of exponents.
- add, subtract, multiply, and divide rational expressions and do synthetic division.
- perform operations with radical expressions, including rationalizing denominators of monomials and binomials and to solve radical equations.
- solve quadratic equations by factoring, quadratic formula, and completing the square and relevant applications.
- graph linear equations using the slope and y-intercept; find equations of lines given two points, and solve simultaneous equation.
- graph quadratic, exponential, and logarithmic functions and describe the domain and range of a relation.
- use function notation, properties of logarithms to compute common and natural logarithmic values.
Planned Sequence of Topics and/or Learning Activities:
- Linear Equations and Inequalities (11 lessons)
- Linear Equations
- Word Problems and Formulas
- Applications of Algebra
- Linear Inequalities
- Equations and Inequalities with Absolute Value
- Linear Functions
- Slope-Intercept Form
- Point-Slope Form
- Applications of Graphing Functions
- Exponents and Factoring Polynomials (10 lessons)
- Exponent Rules
- Operations with Polynomials
- Factoring Polynomials
- Second Degree Equations
- Applications of Second Degree Equations
- Rational Expressions and Equations (8 lessons)
- Operations with Rational Expressions
- Complex Fractions
- Rational Equations
- Applications of Rational Equations
- Systems of Linear Equations
- Radical Expressions, Radical Equations, Quadratic Formula (11 lessons)
- Simplifying Radical Expressions
- Rational Exponents
- Operations with Radical Expressions
- Complex Number Expressions
- Quadratic Formula
- Radical Equations
- Applications of Quadratic Equations
- Exponential and Logarithmic Functions (5 lessons)
- Exponential Functions
- Exponential to Logarithmic Form
- Logarithmic Functions
Assessment Methods for Core Learning Goals:All Discipline-Specific 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. Formal assessment will consist of open-ended questions reflecting theoretical and applied situations.
Reference, Resource, or Learning Materials to be used by Students:Departmentally selected textbook and graphing calculator. Details provided by the instructor of each course section. See course format.
Teaching Methods EmployedPrimary teaching methods are lecture, recitation, problem solving, cooperative groups, and power point presentations when appropriate.
Review/Approval Date - 4/06