College Algebra 13th Edition By Margaret Lial, John Hornsby, David Schneider, Callie Daniels
$30.00
Secure checkout
Instant digital download
PDF document
Document details
- Pages
- 855
- File size
- 34.58 MB
- Format
- Digital PDF
- Course
- Algebra
- Category
- eBook[PDF]
Sign in or create a free account to continue. Your purchase will be saved in My Downloads.
About this ebook
The College Algebra 13th Edition by Margaret L. Lial, John Hornsby, David I. Schneider, and Callie Daniels is organized into eight core chapters (including a comprehensive review chapter). The curriculum balances algebraic concept building with visual and analytical problem-solving skills. [1, 2]
The detailed breakdown of the chapters and topics covered in this text include:
Chapter R: Review of Basic Concepts
This expanded preparatory chapter focuses on essential algebraic fundamentals that typically challenge students: [1, 2]
- Sets and real numbers
- Operations with signed numbers
- Fractions, decimals, and percents (New to this edition)
- Exponents and radicals (including expressions with negative and rational exponents)
- Polynomial expressions and dividing a polynomial by a monomial
- Factoring polynomials
- Rational expressions [1, 2, 3, 4]
Chapter 1: Equations and Inequalities
- Linear and rational equations
- Applications and modeling of linear equations (including health care and finance formulas)
- Complex numbers
- Quadratic equations and their applications
- Other types of equations (radical equations, absolute value equations)
- Linear and absolute value inequalities [1, 2, 3, 4]
Chapter 2: Graphs and Functions
- Rectangular coordinate system
- Linear equations in two variables (slope, formulas, and graphing)
- Linear functions and mathematical modeling
- Relations and functions (domain, range, and evaluation)
- Graphs of basic functions and piecewise-defined functions
- Graphing techniques (transformations like shifting, stretching, and reflecting)
- Function operations and composition of functions [1, 2, 3, 4]
Chapter 3: Polynomial and Rational Functions
- Quadratic functions and their graphs (parabolas)
- Synthetic division and the Factor/Remainder Theorems
- Zeros of polynomial functions (real, complex, and rational roots)
- Graphs of higher-degree polynomial functions
- Rational functions and their graphs (including horizontal and vertical asymptotes)
- Polynomial and rational inequalities (Features a new visual graphing approach in this edition) [1, 2, 3]
Chapter 4: Inverse, Exponential, and Logarithmic Functions
- Inverse functions (one-to-one properties and mapping)
- Exponential functions and their applications
- Logarithmic functions (relating logs as the inverse of exponentials)
- Properties of logarithms and base conversion
- Exponential and logarithmic equations
- Growth and decay models [1, 2, 3]
Chapter 5: Systems and Matrices
- Systems of linear equations (solved using substitution and elimination)
- Matrix solutions of linear systems (using Gaussian elimination and augmented matrices)
- Matrix properties and operations (addition, subtraction, scalar multiplication, and matrix multiplication)
- Determinants and Cramer’s Rule
- Matrix inverses and their applications
- Systems of nonlinear equations
- Systems of inequalities and linear programming [1, 2, 3, 4, 5, 6, 7, 8]
Chapter 6: Analytic Geometry
- The Conic Sections: Detailed properties, equations, and graphs of:
- Effects of shifts on conic section equations
Chapter 7: Further Topics in Algebra
File included
tmpphpnoMfX5
34.58 MB
Related ebooks
