MATH105-- College Algebra

• The prereq for MATH105 is MATH 100 (Intermediate Algebra)

• Note that the two semester sequence MATH105 (College Algebra)--MATH106 (Trig) may substitute for the accelerated MATH 107 (Precalc).

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COLLEGE ALGEBRA

MATH 105                                                                                         Three Semester Hours

Course Outline:

      I.       Review of Real Numbers

               A.  Operations and Properties of Real Numbers

               B.  Variable Expressions

      II.     First-Degree Equations and Inequalities

               A. Equations in one variable

               B. Applications

               C. Inequalities in one variable

                D. Absolute value equations and inequalities

    III.     Polynomials and Exponents

                A. Exponents and operations on polynomials

                B. Factoring polynomials

    IV.      Rational Expressions

                A. Simplifying rational expressions

                B. Operations on rational expressions

                C. Rational equations

                D. Literal equations

    V. Rational exponents and radicals

                A. Operations on radical expressions

                B. Complex numbers

                C. Equations containing radical expressions

    VI. Linear Equations and Inequalities in Two Variables

                A. The rectangular coordinate system

                B. Slopes and intercepts of straight lines

                C. Finding equations of straight lines

                D. Applications of linear equations

                E. Inequalities in two variables

    VII.     Quadratic Equations and Inequalities

                A. Solving quadratic equations

                B. Applications of quadratic equations

                C. Nonlinear inequalities

    VII.     Functions and Relations

                A. Basic properties

                B. Algebra of functions

                C. Composition of functions

                D. Inverse functions

                E. Graphs and applications

    IX.     Exponential and Logarithmic Functions

                A. Basic properties

                B. Solutions of exponential and logarithmic equations

                C. Applications

    X.     Systems of Equations and Inequalities (optional)

                A. Methods of solving linear and quadratic systems

                B. Applications

                C. Matrices and determinants