Course Descriptions for Mathematics

This course offers an introduction to basic mathematics using mathematical concepts that can be
applied to everyday life. Topics include fractions, decimals, ratios, proportions, conversions, averages
and percentages. Prerequisites: Pass Entrance Level Math Exam or Refresher Math.

Objectives:

• Define and recognize prime numbers, composite numbers and factors .
• Find the prime factorization of two or more composite numbers.
• Find the least common multiple and greatest common factor of two or more numbers.
• Add, subtract, multiply and divide fractions with like and unlike denominators by hand .
• Convert between fractions, decimals and percents.
• Solve application problems involving fractions and decimals.
• Define and calculate the mean, median, mode and range of a set of numbers.
• Apply averages to word problems.
• Set up and simplify given ratios in three different forms.
• Convert metric and English units.
• Set up and solve proportions .
• Set up equations using percents from word problems.
• Set up and solve interest problems.
• Set up and solve discounting (sales) problems.
• Set up and solve increase/decrease problems.

This intermediate algebra course covers rational exp onents and radicals , quadratic equations, functions
and nonlinear graphing, logarithm and exponential functions , linear equations and systems (3x3
systems) and systems of nonlinear equations. Articulated with WSU Math 1010. Prerequisites:
Accuplacer placement, Math II, Level II or WSU Math 950 (C or better) taken in the last year

Objectives:

• Identify real , rational, irrational, integer, natural and whole numbers.
• Apply order of operations to simplify expressions.
• Define absolute value and perform operations on integers.
• Use operations to simplify polynomials and factor polynomials.
• Solve linear equations and inequalities.
• Use the Cartesian coordinate system to graph linear equations.
• Solve equations and inequalities that contain absolute values.
• Find the solution to linear systems by graphing.
• Solve linear systems by the substitution and elimination method.
• Solve 3 x 3 systems of equations.
• Solve applications of systems of equations.
• Simplify radical expressions and solve radical equations.
• Add, subtract, multiply and divide radical expressions.
• Define conjugates and use them to rational denominators.
• Find the nth root of a number.
• Solve quadratic equations by using the square root property, factoring or completing the square.
• Use the quadratic formula to solve quadratic equations.
• Define discriminate and use the discriminate to determine the nature of solutions.
• Simplify complex numbers and write in standard form.
• Simplify and perform operations with radical expressions and complex numbers.
• Evaluate powers of i.
• Define function, range and domain.
• Determine if a graph is a function or one-to-one.
• Graph quadratic functions.
• Find the intercepts of quadratic functions.
• Add, subtract, multiply and divide functions.
• Find the composition of functions.
• Find the inverse of a given function.
• Graph inverse functions and determine if the inverse is also a function.
• Apply properties of logarithms.
• Solve logarithmic and exponential equations.
• Solve higher order quadratic equations by factoring or “u” substitution.
• Solve quadratic equations and inequalities.
• Solve systems of nonlinear equations and graph nonlinear functions.
• Solve rational inequalities.

Develop essential human-relation skills needed to maintain gainful and satisfying employment. This
course includes familiarization with problematic areas found in the workforce including, solving
problems; understanding relationships and diversity; increasing personal ethics; and developing strong
personal, interpersonal, and human relation skills.

Objectives:

• Utilize problem-solving skills
• Understand working relations and diversity
• Understand business ethics
• Develop interpersonal skills
• Develop personal and human relations skills

Prepare students to successfully apply for a job. This course will present essential job-seeking skills
needed to find gainful employment.

Objectives:

• Complete a job application form
• Develop a current resume
• Create a letter of application
• Perform successfully in an interview
• Demonstrate appropriate follow-up procedures