## Study.com | Evaluated Learning Experience

## Math 105: Precalculus Algebra

26 hours (7 weeks).

December 2013 - Present.

Upon successful completion of the course, students will be able to: write and solve mathematical modeling equations, including those pertaining to cost determination, economic equilibrium and relating a 2- dimensional figure's side lengths, perimeter and area; evaluate linear equations, 1- and 2- variable inequalities and systems of equations; factor and solve quadratic equations, including solving by utilizing the quadratic formula; complete operations involving rational expressions and solve rational equations; complete operations involving polynomials, including factoring polynomials using the remainder, factor and rational zero theorems as well as synthetic division; evaluate absolute value expressions and solve and graph absolute value equations and inequalities; complete operations involving complex numbers and graph complex numbers on the complex plane; graph different types of functions, including inverse functions, square root functions, cube root functions and functions of functions; detect symmetry graphically, numerically and algebraically; evaluate logarithms, including rewriting logarithmic equations in exponential form, graphing logarithmic functions and identifying a logarithmic function's vertical asymptote, domain and range; and define and utilize the derivative, including demonstrating its relationship to the rate of change.

Major topics include: mathematical modeling; linear equations and inequalities; quadratic functions; rational expressions and functions; polynomial functions of a higher degree; absolute value equations and inequalities; complex numbers; geometry basics; functions overview; function operations; graph symmetry; exponential and logarithmic functions; and introduction to the derivative.

In the lower division baccalaureate degree category, 4 semester hours in Calculus, College Math, or as a general elective (12/16) (4/22 revalidation).