Gain factual knowledge. Learn the vocabulary and basic definitions related to linear and quadratic equations, inequalities, number systems, polynomials, exponents, logarithms, matrices, linear programming and mathematics of finance.
Learn fundamental principles. Become familiar with the properties of exponents and logarithms; understand the relationship between equations and inequalities and their graphs; know the formulas associated with matrices and the mathematics of finance.
Learn to apply the course material. Use the facts, formulas and techniques learned in this course to model and solve linear programming problems by graphical or algebraic methods, and annuity and interest problems; be able to apply linear regression to data sets; be able to analyze graphs and comment on their relevance and meaning; be able to convert logarithmic equations to exponential equations and vice-versa; be able to use lines and their properties to solve business application problems.
Develop specific skills. Acquire a level of proficiency in the following areas: use of formulas for solving finance problems; use of technology (computers and/or calculators) to solve finance and linear programming problems; the operations associated with matrices such as addition, subtraction, multiplication, finding inverses and determinants; graphing various function types; use of the quadratic formula.
Course Content Textbook: Mathematical Applications, 6th edition, by Harshbarger and Reynolds. The following chapters including the particular sections listed are covered.
Algebraic Concepts. real numbers; exponents and radicals; operations with algebraic expressions; factoring; rational expressions.
Linear Equations and Functions. Solutions of linear equations; graphs; systems of linear equations; applications to business and economics.
Special Functions. Quadratic equations; parabolas and quadratic functions; linear regression; applications to business.
Matrices. Operations on matrices; determinants; the inverse of a matrix; Gauss-Jordan elimination.
Inequalities and Linear Programming. graphing linear inequalities; linear programming: graphical method; the Simplex method; modeling linear programming problems.
Exponential and Logarithmic Functions. Properties of logarithms; relationship between logarithmic and exponential equations; applications of logarithms to business mathematics.