SAT 대비 미국고교수학 시리즈 : Pre calculus

Chapter 1. Polynomial and Rational Functions

1.Polynomial Functions of Higher Degree
2. Division of Polynomials
3. Real Zeros of Polynomial Functions
4. Rational Functions

Chapter 2. Exponential and Logarithmic Functions

1. Exponential Functions
2. Logarithmic Functions
3. Properties of Logarithmic Functions
4. Exponential and Logarithmic Equations
5. Application of Exponentials and Logarithms

Chapter 3. Introduction to Trigonometry

1. Angles and Their Measure
2. Trigonometric Functions of Angles
3. Graph of Trigonometric Functions
4. Inverse Trigonometric Functions
5. Real-Life Problems with Trigonometry

Chapter 4. Analytic Trigonometry

1. Trigonometric Identities
2. Verifying trigonometric Identities
3. Trigonometric Equations
4. Sum and Difference Identities
5. Double-Angel and Half-Angle Identities

Chapter 5. Applications of Trigonometry

1. Triangles
2. Introduction to Vectors
3. Dot Products of the Vectors
4. Application of Vectors
5. Trigonometric Form of a Complex Numbers

Chapter 6. Matrices

1. The Algebra of Matrices
2. The Inverse of Matrices
3. Determinants and Cramer’s Rule
4. Partial Fraction Decomposition

Chapter 7. Analytic Geometry

1. Parabolas
2. Ellipses
3. Hyperbola
4. Parametric Equations
5. Polar Coordinates
6. Graph of Polar Equations

Chapter 8. Discrete Mathematics

1. Introduction to Sequences
2. Introduction to Series
3. Mathematical Induction
4. Fundamental Counting Principles
5. The Binomial Theorem
6. Probability