Algebra ⁽³¹⁾

These are my notes on hyperbolas in algebra.

These are my notes on ellipses in algebra.

These are my notes on parabola equations and graphs.

These is my guide to determinants in algebra.

These are my notes on inverses of matrices.

These are my notes on properties of matrices.

These are my notes on linear equations with three variables.

These are my notes and worked examples of properties of logarithms.

These are my notes on equations with two variables in Algebra.

These are my notes on logarithmic equations in Algebra.

These are my notes on properties of logarithms.

These are my notes on logarithmic functions in Algebra.

These are my notes and how to work on exponential functions in Algebra.

If you need some help understanding inverse functions in Algebra, this guide I wrote explains them with several examples.

The composition of functions is a way to build functions from separate parts. If you are unsure how they work, here is my guide explaining the process.

In this document, we discuss power functions and how exponents affect them. 

Polynomial and rational inequalities are all about finding boundary numbers. In this document, let me show you how to do that with some examples.

The fundamental theorem of algebra says that every polynomial has at least one complex number as a solution.

We factor polynomials because they give us points on their curve. These points allow us to analyze functions and solve equations for the values we need.

Functions are a way to understand how one quantity grows or decreases compared to another quantity.  Nonlinear functions, which we will discuss here, are functions that have different growth rates.

Graphs are useful tools. We use them to show a lot of information visually. In this article, I want to show how functions are transformed in graphs.

Algebraic functions are some of the most important concepts in math. In this article I discuss the history and uses of functions. 

In this chapter I show you how to solve quadratics with factoring and how to find the  corresponding intercepts.

This chapter I discuss quadratic equations and how they are useful to model nonlinear data.

Piecewise functions describe our every day life and are everywhere. In this chapter I will explain them and show some examples.

This next session is about Linear Inequalities. An inequality is similar to an equation. The difference is that it will not have an equal sign. It will be important to have a good understanding of inequalities because they pop up everywhere.

One of the goals in mathematics is solving equations. The most fundamental of these is linear equations. In this chapter, I discuss how to solve them.

A function is often used to model data that is important to us. It is useful in the sense that it can allow us to somewhat predict what will happen in the future mathematically.

These are my notes and worked problems on Basics of Algebra.

In this article I discuss the history and uses of functions. Algebraic functions are some of the most important concepts in math. Since this is a series on Algebra, I use specific examples that are related.

This is the start of a new series involving Algebra and number sets. It will start out with basic Algebra but get more advanced in time.