College Algebra

Đại số đại học - Điều khoản chính, phương trình, khái niệm, bài tập ôn tập, kiểm tra thực hành

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 Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

✨Content of the Application✨

1. Prerequisites

Introduction to Prerequisites

1.1. Real Numbers: Algebra Essentials

1.2. Exponents and Scientific Notation

1.3. Radicals and Rational Exponents

1.4. Polynomials

1.5. Factoring Polynomials

1.6. Rational Expressions

2. Equations and Inequalities

Introduction to Equations and Inequalities

2.1. The Rectangular Coordinate Systems and Graphs

2.2. Linear Equations in One Variable

2.3. Models and Applications

2.4. Complex Numbers

2.5. Quadratic Equations

2.6. Other Types of Equations

2.7. Linear Inequalities and Absolute Value Inequalities

3. Functions

Introduction to Functions

3.1. Functions and Function Notation

3.2. Domain and Range

3.3. Rates of Change and Behavior of Graphs

3.4. Composition of Functions

3.5. Transformation of Functions

3.6. Absolute Value Functions

3.7. Inverse Functions

4. Linear Functions

Introduction to Linear Functions

4.1. Linear Functions

4.2. Modeling with Linear Functions

4.3. Fitting Linear Models to Data

5. Polynomial and Rational Functions

Introduction to Polynomial and Rational Functions

5.1. Quadratic Functions

5.2. Power Functions and Polynomial Functions

5.3. Graphs of Polynomial Functions

5.4. Dividing Polynomials

5.5. Zeros of Polynomial Functions

5.6. Rational Functions

5.7. Inverses and Radical Functions

5.8. Modeling Using Variation

6. Exponential and Logarithmic Functions

Introduction to Exponential and Logarithmic Functions

6.1. Exponential Functions

6.2. Graphs of Exponential Functions

6.3. Logarithmic Functions

6.4. Graphs of Logarithmic Functions

6.5. Logarithmic Properties

6.6. Exponential and Logarithmic Equations

6.7. Exponential and Logarithmic Models

6.8. Fitting Exponential Models to Data

7. Systems of Equations and Inequalities

Introduction to Systems of Equations and Inequalities

7.1. Systems of Linear Equations: Two Variables

7.2. Systems of Linear Equations: Three Variables

7.3. Systems of Nonlinear Equations and Inequalities: Two Variables

7.4. Partial Fractions

7.5. Matrices and Matrix Operations

7.6. Solving Systems with Gaussian Elimination

7.7. Solving Systems with Inverses

7.8. Solving Systems with Cramer's Rule

8. Analytic Geometry

Introduction to Analytic Geometry

8.1. The Ellipse

8.2. The Hyperbola

8.3. The Parabola

8.4. Rotation of Axes

8.5. Conic Sections in Polar Coordinates

9. Sequences, Probability, and Counting Theory

Introduction to Sequences, Probability and Counting Theory

9.1. Sequences and Their Notations

9.2. Arithmetic Sequences

9.3. Geometric Sequences

9.4. Series and Their Notations

9.5. Counting Principles

9.6. Binomial Theorem

9.7. Probability

👉Each Chapter Include:

✔Key Terms

✔Key Equations

✔Key Concepts

✔Review Exercises

✔Practice Test