Table of Contents

Algebra: Matrices
 Introduction to Matrices
 Types of Matrices
 Equal Matrices
 Scalar Multiplication of Matrices
 Transpose of a Matrix
 Adding and Subtracting Matrices
 Matrix Operations
 Matrix Multiplication
 Properties of Matrix Multiplication
 Power of a Matrix
 TwobyTwo Determinants
 ThreebyThree Determinants
 Determinant of a Triangular Matrix
 Using Determinants to Calculate Areas
 Cramer’s Rule
 Inverse of a 2 × 2 Matrix
 Representing a System of Two Equations in Matrix Form
 Solving a System of Two Equations Using a Matrix Inverse
 Algebra: Linear Programing

Analytic Geometry: Vectors
 Scalars, Vectors, and Directed Line Segments
 Components of a Vector
 Magnitude of a 2D Vector
 Adding and Subtracting Vectors in 2D
 Properties of Operations on Vectors
 Vectors in terms of Fundamental Unit Vectors
 Polar Form of a Vector
 Parallel and Perpendicular Vectors in 2D
 Vector Operations in 2D
 Graphical Operations on Vectors
 Geometric Applications of Vectors
 Vector Applications

Analytic Geometry: Straight Lines
 Partitioning a Line Segment on the Coordinate Plane
 Equation of a Straight Line: Vector Form
 Equation of a Straight Line: Parametric Form
 Equation of a Straight Line: General Form
 Equation of a Straight Line: TwoIntercept Form
 Angle between Two Straight Lines in the Coordinate Plane
 Perpendicular Distance from a Point to a Line on the Coordinate Plane
 Intersection Point of Two Straight Lines on the Coordinate Plane

Trigonometry
 Simplifying Trigonometric Expressions
 Simplifying Trigonometric Expressions Using Trigonometric Identities
 Evaluating Trigonometric Functions Using Pythagorean Identities
 Simple Trigonometric Equations
 Solving a Trigonometric Equation
 Right Triangle Trigonometry: Solving for a Side
 Right Triangle Trigonometry: Solving for an Angle
 Angles of Elevation and Depression
 Areas of Circular Sectors
 Areas of Circular Segments
 Finding the Area of a Triangle Using Trigonometry
 Areas of Regular Polygons