Pre-Calculus - Semester - 1

Course Details:

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.

Prerequisites:

• Algebra I - Semester - 1
• Algebra I - Semester - 2
• Algebra II - Semester - 1
• Algebra II - Semester - 2
• Geometry - Semester - 1
• Geometry - Semester - 2

Syllabus:

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