Pre-Calculus Reference Guide

• • • Over 300 rules, definitions, and examples • • •

Calculus may not seem very important to you but the lessons and skills you learn will be with for your whole lifetime!

Calculus is the mathematical study of continuous change. It helps you practice and develop your logic/reasoning skills. It throws challenging problems your way which make you think. Although you may never use calculus ever again after school or college, you will definitely hold on to the lessons that calculus teaches you.

Things like time management, how to be organized, how to accomplish things on time, how to perform under pressure, how to be responsible are just some of the things Calculus helps you become proficient in. Traits that will help you succeed.

Calculus plays a big role in most universities today as students in the fields of economics, science, business, engineering, computer science, and so on are all required to take Calculus as prerequisites.

Our Pre-Calculus guide is a preliminary version of Calculus containing over 300 rules, definitions, and examples that provides you with a broad and general introduction of this subject. A valuable reference guide to have on your phone.

"After becoming familiar with the basics from other sources, one should check-out Pre-Calculus Guide to test definitions and conceptual understanding, just as you would refer to a text book. You will quickly be directed to the desired category, a series of well-documented procedures and examples that will assist the student navigate through these important topics." - www.appolearning.com



Topics include:

• Matrix Definition
• Matrix Addition, Subtraction and Scalar Multiplication
• Matrix Multiplication
• Matrix Multiplication Example
• Augmented Matrix for a System of Equations
• Solving Augmented Matrices
• Solving by Gauss-Jordan Elimination
• Gauss-Jordan Elimination (continued)
• Special Types of Matrices
• 2 x 2 Matrix Determinant
• 3 x 3 Matrix Determinant: Expansion by Minors
• Determinant of a 3 x 3 Diagonal Multiplication
• Cramer’s Rule for Solving 2 Linear Equations
• Cramer’s Rule - Example of solving 2 Equations
• Cramer’s Rule for 3 Equations in 3 Unknowns
• Cramer’s Rule - Example of solving three Equations
• Inverse of a 2 x 2 Matrix
• System of Equations by Inverse Matrices
• Area of a Triangle Using Matrices
• Test for Collinear Points Using Matrices
• Finding Equation of a Line Given Two Points
• Conic Sections
• Ellipses
• Ellipse Whose Center is at the Origin
• Ellipse with Center at the Origin Example
• Ellipse Translation
• Ellipse Translation Example
• Equation of an Ellipse in Standard Form
• Hyperbola
• Hyperbola Standard Form
• Hyperbola Standard Form (continued)
• Hyperbola Centered at the Origin Example
• Hyperbola Translation
• Hyperbola Centered at the Origin Example
• Parabolas
• Parabola Equation with Vertex at the Origin
• Diagrams of Previous Page Parabolas
• Parabola Equation with Vertex (h, k)
• Polar Coordinate Plane
• Polar Coordinate System - Plotting Points
• Multiple Representation of points
• Coordinate Conversion
• Examples of Conversion
• Equation Conversion
• Polar Equations Graphing
• Special Graphs – Limaçons
• Special Graphs - Rose Curves
• Special Graphs - Circles & Lemniscates
• About Pre-Calculus


Even if you dont use Calculus, this app sure is a cool way to show-off some high IQ!

Portrait & Landscape mode supported.

Thank you!