## Knot Theory – Math Doodles

Learn knot theory with math doodle games.

Learn knot theory with math doodle games.

Input a function to find the roots of the equation.

One of the most common applications of square matrices is to solve systems of linear equations. Solving linear systems using matrix algebra is more efficient than hand calculating the systems using substitution methods; this is especially true when dealing with systems of 3 or more variables. Two matrix algebra methods include: row reducing and finding the inverse.

When simplifying square roots, we give the positive and negative answer if solving an equation that did not originally have a square root. Knowledge of math radicals is important when solving quadratic equation problems.

There are many methods we use to solve for the variable when it appears in more than one place. You need to know how to combine like terms, as well as the skills needed to solved multi-step equations.

Factoring trinomials is easiest when the leading coefficient (the coefficient on the squared term) is one.

When you simplifying complex fractions, factor the numerator and denominator into terms multiplying each other and look for equivalents of one (something divided by itself). Include parenthesis around any expression with a “+” or “-” and if all terms cancel in the numerator, there is still a one (1) there.

To solve a system of linear equations, we can use substitution, elimination or something we call augmented matrices.

Solving quadratics can be difficult. Completing the square is one method for solving a quadratic equation.

We use the identity matrix to calculate a the inverse of a square matrix.

Variables are used throughout Algebra, Geometry, and Calculus. Variables are therefore very important to understand.

We often use a table of values to plot and connect points when we are graphing a line. Sometimes graphing lines using an equation involves the same methods as using a table of values.

Equations are fundamental to Algebra, and solving linear equations is necessary for you to learn how to solve two-step equations, and other multi-step equations.

The common logarithm has base 10, and is represented on the calculator as log(x). The natural logarithm has base e, a famous irrational number, and is represented on the calculator by ln(x). The natural and common logarithm can be found throughout Algebra and Calculus.

Periodic Functions: Sine and cosine are periodic functions, which means that sine and cosine graphs repeat themselves in patterns. You can graph sine and cosine functions by understanding their period and amplitude.

It can be convenient to calculate the likelihood of an event, and in many cases we can use statistical probability.

These properties of logarithms are the methods we use to get to, and solve for, variables that are in exponents or inside logarithms.

Rational Function Graphs: There are different characteristics to look for when creating rational function graphs….

This is an introduction to sequences. Lists of numbers, finite and infinite, that follow certain rules are called sequences.

Learn to solve radical equations …