Table of Contents
- Chapter 1 • Functions and Inequalities
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Chapter 2 • Matrices
- Lesson: Types of Matrices
- Lesson: Adding and Subtracting Matrices
- Lesson: Matrix Operations
- Lesson: Scalar Multiplication of Matrices
- Lesson: Matrix Multiplication
- Lesson: Properties of Matrix Multiplication
- Lesson: Two-by-Two Determinants
- Lesson: Three-by-Three Determinants
- Lesson: Using Determinants to Calculate Areas
- Lesson: Cramer’s Rule
- Lesson: Inverse of a 2 × 2 Matrix
- Lesson: Solving a System of Two Equations Using a Matrix Inverse
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Chapter 3 • Polynomials and Polynomial Functions
- Lesson: Introduction to Complex Numbers
- Lesson: Pure Imaginary Numbers
- Lesson: Equating, Adding, and Subtracting Complex Numbers
- Lesson: Complex Number Conjugates
- Lesson: Multiplying Complex Numbers
- Lesson: Simplifying Expressions: Rules of Exponents
- Lesson: Solving Quadratic Equations: Quadratic Formula
- Lesson: Discriminants of Quadratics
- Lesson: Identifying Polynomials
- Lesson: Simplifying Expressions: Combining Like Terms
- Lesson: Dividing Polynomials by Monomials
- Lesson: Polynomial Long Division without Remainder
- Lesson: Graphs of Polynomial Functions
- Lesson: Polynomial Functions
- Lesson: Degree and Coefficient of Polynomials
- Lesson: Polynomial Equations
- Lesson: Polynomial Long Division with Remainder
- Lesson: Remainder and Factor Theorem with Synthetic Division
- Lesson: Solving Quadratic Equations with Complex Roots
- Lesson: Real and Complex Roots of Polynomials
- Lesson: Descartes’ Rule of Signs
- Lesson: Quadratic Equations: Coefficients and Roots
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Chapter 4 • Inverses and Radical Functions and Relations
- Lesson: Combining Functions
- Lesson: Composite Functions
- Lesson: Graphs of Inverses of Functions
- Lesson: Inverse of a Function
- Lesson: Radical Functions
- Lesson: Simplifying Radicals
- Lesson: Approximating Radicals
- Lesson: Adding and Subtracting Square Roots
- Lesson: Rationalizing Denominators
- Lesson: Squares of Numbers
- Lesson: Cubes of Numbers
- Lesson: Fractional Exponents
- Lesson: Radical Equations