MATH103 Intermediate Algebra

Department of Science, Technology, Engineering & Mathematics: Mathematics

I. Course Number and Title
MATH103 Intermediate Algebra
II. Number of Credits
3 credits
III. Number of Instructional Minutes
IV. Prerequisites
Math Placement Test score of 5 or MATH095 (C or better)
V. Other Pertinent Information

This 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.

VI. Catalog Course Description
This course provides a preparation for more advanced study in mathematics and related fields. Topics include simplifying algebraic, rational, and radical expressions; solving quadratic, rational, radical, absolute value, exponential, and logarithmic equations; solving compound and absolute value inequalities, and graphing functions.
VII. Required Course Content and Direction
  1. Course Learning Goals

    Students will:

    1. factor polynomials using the distributive property, reverse foil, grouping, the difference of squares, sum and difference of cubes;
    2. perform operations on rational expressions, radical expressions, and complex numbers; solve rational and radical equations;
    3. solve compound inequalities, absolute value equations and inequalities;
    4. solve quadratic equations by using factoring, the quadratic formula, and completing the square and solve relevant applications;
    5. use function notation, perform operations with functions including composition of functions, find the inverse of a one-to-one function, graph quadratic, exponential, and logarithmic functions, and identify the domain and range of a function; and
    6. use properties of logarithms to solve logarithmic and exponential equations and relevant applications
  2. Planned Sequence of Topics and/or Learning Activities

    1. Factoring Polynomials
      1. Distributive Property (GCF)
      2. Grouping
      3. Difference of Squares
      4. Sum and Difference of Cubes
      5. Reverse Foil
    2. Absolute Value Equations and Inequalities and Compound Inequalities
    3. Rational Expressions and Equations
      1. Operations with Rational Expressions
      2. Complex Fractions
      3. Rational Equations
      4. Applications of Rational Equations
    4. Radical Expressions, Radical Equations, Quadratic Formula
      1. Simplifying Radical Expressions
      2. Rational Exponents
      3. Operations with Radical Expressions
      4. Operations with Complex Numbers
      5. Radical Equations
    5. Quadratic Equations
      1. Solving Quadratic Equations Using Factoring
      2. Solving Quadratic Equations Using the Square Root Property
      3. Solving Quadratic Equations Completing the Square
      4. Solving Quadratic Equations Using the Quadratic Formula
      5. Graphing Quadratic Functions
      6. Applications of Quadratic Equations
    6. Exponential and Logarithmic Functions
      1. Operations with Functions and Composition of Functions
      2. Exponential Functions and their Graphs
      3. One to One Functions and Inverse Functions
      4. Conversion Between Exponential and Logarithmic Form
      5. Logarithmic Functions and their Graphs
      6. Properties of Logarithms
      7. Logarithmic and Exponential Equations
      8. Applications of Logarithmic and Exponential Functions
  3. Assessment Methods for Course Learning Goals

    The student applies 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 consist of open-ended and multiple choice questions reflecting theoretical and applied situations.
  4. Reference, Resource, or Learning Materials to be used by Student:

    Departmentally selected textbook and scientific calculator. Details provided by the instructor of each course section. See course syllabus.

Review/Approval Date - 4/06; New Core 8/2015; Revised 1/3/2017