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College Algebra (13e)

A college algebra textbook by Lial, Hornsby, Schneider, and Daniels covering review of basic concepts, equations and inequalities, graphs and functions, polynomial and rational functions, inverse/exponential/logarithmic functions, systems and matrices, analytic geometry (conics), and further topics in algebra (sequences, series, counting, probability). Lial CollAlg drops the trigonometry chapters from the Lial Precalculus volume and renumbers the remaining chapters.

8 chapters 286 lessons Guided notes for every video
Chapters

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Ch R - Review of Basic Concepts

A review of basic algebra fundamentals before precalculus topics begin. Expanded in 7e to include foundational concepts that often challenge students.

8 sections
Chapter 1

Equations and Inequalities

Solving linear equations, complex numbers, quadratic equations, other equation types, inequalities, and absolute value equations and inequalities.

8 sections
Chapter 2

Graphs and Functions

Coordinate plane, circles, functions, linear functions, equations of lines, basic function graphs, graphing techniques, and function operations.

8 sections
Chapter 3

Polynomial and Rational Functions

Quadratic functions, synthetic division, zeros of polynomials, polynomial graphs, rational functions and graphs, polynomial and rational inequalities, variation.

7 sections
Chapter 4

Inverse, Exponential, and Logarithmic Functions

Inverse functions, exponential functions, logarithmic functions, change-of-base, exponential and logarithmic equations, and applications of growth and decay.

6 sections
Chapter 5

Systems and Matrices

Systems of linear equations, matrices, determinants, nonlinear systems, and matrix algebra.

6 sections
Chapter 6

Analytic Geometry

Conic sections: parabolas, ellipses, hyperbolas, and the summary of conics.

4 sections
Chapter 7

Further Topics in Algebra

Sequences and series (arithmetic, geometric); the Binomial Theorem.

4 sections