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OpenStax College Algebra (2e)

A free OpenStax open-resource college algebra textbook (2nd edition, 2024). Sister-volume of OpenStax Precalculus 2e with Ch 1 Prerequisites and Ch 2 Equations and Inequalities sourced from OpenStax AlgTrig 2e where they were already topic-aligned to Blitzer Ch P (Pre_07) and Blitzer CollAlg 8e Ch 1. Drops the trigonometric-functions chapters and the apps-of-trig chapter.

9 chapters 289 lessons Guided notes for every video
Chapters

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Chapter 1

Prerequisites

Foundational algebra review: real-number system, exponents and scientific notation, radicals and rational exponents, polynomials, factoring, and rational expressions.

6 sections
Chapter 2

Equations and Inequalities

Coordinate systems and graphing; solving linear, quadratic, and other types of equations; complex numbers; linear and absolute-value inequalities.

7 sections
Chapter 3

Functions

Foundations of functions: notation, domain/range, rates of change, composition, transformations, absolute-value functions, and inverses.

7 sections
Chapter 4

Linear Functions

Linear functions and their graphs, modeling with linear functions, and fitting linear regression models to data.

3 sections
Chapter 5

Polynomial and Rational Functions

Quadratic, power, polynomial, and rational functions; division of polynomials; zeros; inverses and radical functions; modeling with variation. Complex numbers were covered in Ch 2.

8 sections
Chapter 6

Exponential and Logarithmic Functions

Exponential and logarithmic functions and their graphs, properties of logarithms, equations, models, and curve-fitting.

8 sections
Chapter 7

Systems of Equations and Inequalities

Linear and nonlinear systems of equations and inequalities; matrices; solving with Gaussian elimination, inverses, and Cramer's Rule.

7 sections
Chapter 8

Analytic Geometry

Conic sections in standard form (ellipse, hyperbola, parabola).

3 sections
Chapter 9

Sequences, Probability, and Counting Theory

Arithmetic and geometric sequences and series, summation notation, and the binomial theorem.

5 sections