A college algebra textbook by Ron Larson covering prerequisites, equations/inequalities, functions and graphs, polynomial and rational functions, exponential/logarithmic functions, systems of equations and inequalities, matrices and determinants, sequences/series/probability, and topics in analytic geometry. 9 chapters (Ch P + 1-8). Sister-volume of Larson Precalculus 11e with the trigonometry chapters dropped and an Equations/Inequalities chapter inserted as Ch 1.
Foundational algebra review: real numbers, exponents, radicals, polynomials, factoring, and rational expressions, refreshing the prerequisite skills students need before college-algebra topics begin.
Solving linear, rational, quadratic, polynomial, and absolute-value equations and inequalities; complex numbers; mathematical modeling with linear and quadratic functions. This chapter is present in the College Algebra binding but absent from Larson Precalculus 11e (Pre_05); its content is synthesized following the Alg_03 Blitzer CollAlg 8e Ch 1 precedent (C14).
Rectangular coordinates, graphs of equations, linear equations in two variables, functions, analyzing graphs, parent functions, transformations, combinations and composite functions, inverse functions, and mathematical modeling with variation.
Quadratic functions, polynomial functions of higher degree, polynomial and synthetic division, complex numbers as roots, zeros of polynomial functions, rational functions, and nonlinear inequalities.
Exponential functions and graphs, logarithmic functions and graphs, properties of logarithms, exponential and logarithmic equations, and exponential/logarithmic models.
Linear and nonlinear systems of equations in two variables, two-variable linear systems (substitution and elimination), and multivariable linear systems (3 variables, Gaussian elimination).
Matrices and systems of equations (Gauss-Jordan elimination), operations with matrices, the inverse of a square matrix, and the determinant of a square matrix.
Sequences and series, arithmetic sequences and partial sums, geometric sequences and series, and the binomial theorem.
Lines, parabolas, ellipses, hyperbolas, polar coordinates, and graphs of polar equations.