# A Review of General Education Student Outcomes

 CSC Current General Education Student Outcomes Subject Area Description Assessment Measures Mathematics Competencies measured by the ACT CAAP: • Intermediate Algebra. Items in this category assess students' understanding of exponents, rational expressions, and systems of linear equations . Other concepts such as the quadratic formula and absolute value inequalities may also be tested. • Coordinate Geometry . Knowledge and skills assessed in this category may include graphing in the standard coordinate plane or the real number line, graphing conics, linear equations in two variables , graphing systems of equations, and similar types of skills. • College Algebra. Items in this category are based on advanced algebra concepts including rational exponents, exponential and logarithmic functions, complex numbers , matrices, inverses of functions, and domains and ranges.   Competencies measured by final test in College Algebra: • Apply properties of real numbers. • Simplify integral exponents. • Add, subtract , multiply, and divide polynomials. • Factor polynomials that are perfect squares trinomials, difference of two squares, difference of two cubes, sum of two cubes , and trinomials of the form ax2 + bx + c, where a = 1 and a is different from 1. • Simplify rational expressions. • Convert exp onential expressions to rational expressions and rational expressions to exponential expressions. • Rationalize numerators and denominators. • Find the unknown side of a right triangle using the Pythagorean Theorem. • Use the distance formula to calculate distances between given points.  • Solve linear equations and transfer to real life applications. • Solve quadratic equations using factoring, extracting the roots, and completing the square, and the quadratic formula. • Solve equations involving radicals, exponents, or absolute value. • Plot points on the rectangular coordinate graph and find distance between the points. • Using the midpoint formula, calculate the coordinates of the midpoint. •  Graph linear equations. • Find the slope and intercepts of linear equations. • Fine the equation of a line, using point-slope form and the slope-intercept form of an equation of a line. • Find an equation of a line that is parallel and an equation of a line that is perpendicular to a given line. • Graph a circle, using the center and the radius. • Find the equation of a circle, given the center and the radius. • Solve application problems, using direct, inverse, and joint variation. • Find the domain and range of a relation. • Using the definition of function, determine whether a given relation is a function. • Add, subtract, multiply, and divide complex numbers. • Use synthetic division to find the real roots of a polynomial. • Solve and graph logarithmic equations. • Solve and graph exponential equations. • Solve application problems involving logarithmic and exponential equations. • Solve a system of two linear equations in two variables by graphing. • Solve a system of two linear equations using the substitution and elimination methods . • Use systems of linear equations to solve applied problems. Indirect measures from alumni survey, student surveys, etc.: • Student ratings of competency in the area of mathematics. • Student ratings of instruction in the area of mathematics. • Student ratings of preparation for transfer courses. • ACT CAAP for graduating students; used as a benchmark and aspirational measure  • Final tests in College Algebra, the college level mathematics course taken by the majority of students in transfer programs   • Indirect evidence from CSC Alumni Survey and other program level surveys
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