A college algebra textbook by Bittinger, Beecher, Ellenbogen, and Penna covering basic concepts of algebra, graphs and functions and models, more on functions, quadratic functions and equations and inequalities, polynomial and rational functions, exponential and logarithmic functions, systems of equations and matrices, conic sections, and sequences/series/combinatorics. 9 chapters (Ch R + 1-8). Sister-volume of Bittinger Precalculus G&M Right Triangle 6e with the trigonometry chapters dropped.
Foundational algebra review: real-number system, integer exponents and scientific notation, polynomial operations, factoring, basics of equation solving, rational expressions, and radical notation with rational exponents.
Introduction to graphing in the rectangular coordinate system, functions and graphs, linear functions and slope, equations of lines and modeling, linear equations and zeros and applications, and solving linear inequalities.
Increasing and decreasing functions and piecewise functions, the algebra of functions, composition of functions, transformations, and variation and applications.
The complex numbers, quadratic equations and functions and zeros and models, analyzing graphs of quadratic functions, solving rational equations and radical equations, and solving equations and inequalities with absolute value.
Polynomial functions and modeling, graphing polynomial functions, polynomial division and the remainder/factor theorems, theorems about zeros of polynomial functions, rational functions, and polynomial and rational inequalities.
Inverse functions, exponential functions and graphs, logarithmic functions and graphs, properties of logarithmic functions, solving exponential and logarithmic equations, and applications and models including growth and decay and compound interest.
Systems of equations in two and three variables, matrices and systems of equations, matrix operations, inverses of matrices, determinants and Cramer rule.
The parabola, the circle and the ellipse, the hyperbola, and nonlinear systems of equations and inequalities.
Sequences and series, arithmetic sequences and series, geometric sequences and series, and the binomial theorem.