College Algebra (12th Edition)

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Book Description

“College Algebra, 12th Edition” authored by Margaret L. Lial, John Hornsby, David I. Schneider, and Callie J. Daniels, offers a comprehensive approach to understanding algebraic concepts essential for college-level mathematics. Here's an overview of the key topics covered in this edition:

1. Fundamental Concepts: The book begins with fundamental concepts of algebra, including real numbers, algebraic expressions, equations, inequalities, and problem-solving strategies.
2. Linear Equations and Functions: This section covers linear equations, inequalities, and their graphical representations. It also delves into linear functions, slope-intercept form, point-slope form, and applications of linear equations in various contexts.
3. Systems of Equations and Inequalities: The book explores systems of linear equations and inequalities, including methods of solving them graphically, algebraically, and using matrices. It discusses applications of systems of equations in business, science, and engineering.
4. Polynomial and Rational Functions: This section covers polynomial functions, including quadratic, cubic, quartic, and higher-degree polynomials. It also discusses rational functions, including asymptotes, intercepts, and graphical transformations.
5. Exponential and Logarithmic Functions: The book delves into exponential and logarithmic functions, their properties, and applications. It covers exponential growth and decay, logarithmic scales, and solving exponential and logarithmic equations.
6. Conic Sections: This section explores conic sections, including circles, parabolas, ellipses, and hyperbolas. It discusses their equations, properties, and applications in geometry and physics.
7. Sequences and Series: The book covers arithmetic and geometric sequences and series, including formulas for their sums and applications in finance, growth, and mathematical modeling.
8. Trigonometric Functions: This section introduces trigonometric functions, including sine, cosine, tangent, and their inverses. It discusses trigonometric identities, equations, and applications in geometry, physics, and engineering.
9. Analytic Geometry: The book explores analytic geometry, including distance and midpoint formulas, equations of lines and circles, and applications of coordinate geometry in real-world contexts.
10. Complex Numbers: This section covers complex numbers, including operations with complex numbers, polar form, De Moivre's theorem, and applications in electrical engineering and physics.
11. Probability and Data Analysis: The book concludes with a discussion of probability and data analysis, including basic probability concepts, counting principles, permutations, combinations, and descriptive statistics.

“College Algebra, 12th Edition” provides students with a comprehensive and accessible introduction to algebraic concepts, preparing them for success in college-level mathematics courses and beyond. With its clear explanations, abundant examples, and diverse range of applications, this edition serves as an invaluable resource for students seeking to strengthen their algebraic skills and mathematical understanding.