This course builds on Algebra I & II and lays a solid foundation for a future course in Calculus. Student learns about several important concepts like Matrices, Sequences & Series and Complex Numbers. This course first provides a detailed introduction to the study of Trigonometry and later helps the student learn advanced concepts in this topic. With a firm understanding of Trigonometry and various concepts in Algebra, the student is well-prepared to handle the challenges of Calculus.

**Section 1: Matrices**

- Introduction to Matrices
- Types of Matrices
- Add and Subtract Matrices
- Multiplication of Matrices
- Solving Matrix Equations
- Determinant of Matrix
- Inverse of Matrices
- Transformation of Matrices
- Examples of Transformations

**Section 2: Sequences and Series**

- Introduction to Sequences
- Fibonacci Sequence
- Types of Sequences
- Examples of Sequences
- Introduction to Series
- Arithmetic and Geometric Series
- Partial Sums
- Infinite Series

**Section 3: introduction to Trigonometry**

- Overview of Trigonometry
- Conversions
- Quadrants
- Trigonometry Basics
- Trigonometric Identities
- Special Triangles and Ratios
- Trigonometry and Circles

**Section 4: Concepts of Trigonometry**

- Properties of Trigonometric Functions
- Sine Function
- Cosine Function
- Sine Cosine Relation
- Inverse Trigonometric Functions

**Section 5: Complex Numbers**

- Introduction to Imaginary Numbers
- Adding and Subtracting Complex Numbers
- Conjugate Complex Number
- Multiplying and Dividing Complex Numbers
- Absolute Value of a Complex Number
- Introduction to Complex Plane
- Finding Values on a Complex Plane
- Introduction to Polar Form
- Polar Form to Rectangular Form
- Circle, Line – Polar Form