Pre-Calculus

1. Polynomial and Rational Functions

1.1. Polynomial Functions and Model

1.2. Polynomial Division;the remainder and Factor Theoroms

1.3. Rational Fucntions

1.4. Polynomial and Rational Inequalities

1.5. Variation and Application

2. Exponential and Logarithms

2.1. Inverse Functions

2.2. Exponential Functions and Graphs

2.3. Logarithms Functions and Graphs

2.4. Properties of Logarithms Functions

2.5. Solving Exponential and Logarithmic Equations

2.6. Applications and Models:Growth and Decay

3. The Trigonometric Functions

3.1. Functions of Acute Angles

3.2. Applications of Right Angles

3.3. Trigonometric Functions of Any Angles

3.4. Radians, Arc Length, and Angular Spped

3.5. Circular Functions

3.6. Graohs of Transformed Sine and Cosine Functions

4. Graphs, Function, and Models

4.1. Functions and Graphs

4.2. Slope, and Applications

4.3. Equations of Lines and Modeling

4.4. Algebra of Fucntions

4.5. Symmetry and Functions

5. Functions, Equations, and Inequalities

5.1. Linear equations, functions, and models

5.2. The complex numbers

5.3. Quadratic equations, functions, and models

5.4. Analyzing Graphs of quadratic functions

5.5. Solving Linear Inequalities

6. Trigonometric Identities, Inverse functions, and Equations

6.1. Pythagorean and Sum Difference

6.2. Confunction, Double-Angle, and Half-Angle

6.3. Proving Identities

6.4. Inverses of The Trigonometric Fucntions

6.5. Solving Trigonometric Functions

7. Applications of Trigonometry

7.1. The law of Sines

7.2. The law of Cosines

7.3. Trigonometric form

7.4. Polar coordinates and forms

7.5. Vectors and Applications

7.6. Vector operations

8. sequences, Series, and Combinations

8.1. Sequences and Series

8.2. arithmetic Series

8.3. Geometric Sequences and Series

8.4. Mathematical Inductions

8.5. Permatutions

8.6. Combinations

8.7. The Binomial Theroems

8.8. Probability