College Algebra

College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebraoffers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

Algebra Mathematics

Tác giả: Jay Abramson
Nhà xuất bản: Arizona State University
Nguồn: LibreTexts
Giấy phép: CC BY
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 77 mục

01: Prerequisites
1.01: Prelude to Prerequisites
1.02: Real Numbers - Algebra Essentials
1.03: Exponents and Scientific Notation
1.04: Radicals and Rational Expressions
1.05: Polynomials
1.06: Factoring Polynomials
1.07: Rational Expressions
02: Equations and Inequalities
2.01: Prelude to Equations and Inequalities
2.02: The Rectangular Coordinate Systems and Graphs
2.03: Linear Equations in One Variable
2.04: Models and Applications
2.05: Complex Numbers
2.06: Quadratic Equations
2.07: Other Types of Equations
2.08: Linear Inequalities and Absolute Value Inequalities
03: Functions
3.01: Prelude to Functions
3.02: Functions and Function Notation
3.03: Domain and Range
3.04: Rates of Change and Behavior of Graphs
3.05: Composition of Functions
3.06: Transformation of Functions
3.07: Absolute Value Functions
3.08: Inverse Functions
04: Linear Functions
4.01: Introduction to Linear Functions
4.02: Linear Functions
4.03: Modeling with Linear Functions
4.04: Fitting Linear Models to Data
05: Polynomial and Rational Functions
501: Prelude to Polynomial and Rational Functions
502: Quadratic Functions
503: Power Functions and Polynomial Functions
504: Graphs of Polynomial Functions
505: Dividing Polynomials
506: Zeros of Polynomial Functions
507: Rational Functions
508: Inverses and Radical Functions
509: Modeling Using Variation
06: Exponential and Logarithmic Functions
6.01: Prelude to Exponential and Logarithmic Functions
6.02: Exponential Functions
6.03: Graphs of Exponential Functions
6.04: Logarithmic Functions
6.05: Graphs of Logarithmic Functions
6.06: Logarithmic Properties
6.07: Exponential and Logarithmic Equations
6.08: Exponential and Logarithmic Models
6.09: Fitting Exponential Models to Data
07: Systems of Equations and Inequalities
701: Prelude to Systems of Equations and Inequalities
702: Systems of Linear Equations Two Variables
703: Systems of Linear Equations with Three Variables
704: Systems of Nonlinear Equations and Inequalities Two Variables
705: Partial Fractions
706: Matrices and Matrix Operations
707: Solving Systems with Gaussian Elimination
708: Solving Systems with Inverses
709: Solving Systems with Cramers Rule
08: Analytic Geometry
8.01: Prelude to Analytic Geometry
8.02: The Ellipse
8.03: The Hyperbola
8.04: The Parabola
8.05: Rotation of Axes
8.06: 12.6 Conic Sections in Polar Coordinates
09: Sequences Probability and Counting Theory
9.01: Prelude to Sequences Probability and Counting Theory
9.02: Sequences and Their Notations
9.03: Arithmetic Sequences
9.04: Geometric Sequences
9.05: Series and Their Notations
9.06: Counting Principles
9.07: Binomial Theorem
9.08: Probability