We all know what numbers are 1, 2, 3, 4, 5, …. Including negative numbers -1, -2, -3, -4, -5, ... But did you know that mathematicians classify numbers into different types… into a number system. Let’s start at the top with real numbers....

In this lesson, students will learn how to combine the graphs of two functions by adding and subtracting. They will understand how to find the new function by adding or subtracting the expressions for each function. Additionally, they...

👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...

This video continues on from part 1 and covers pure math concepts such as abstract algebra, real analysis, and topology. Those classes have less obvious real world applications than those discussed in the previous...

👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...

👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...

👉 Learn how to find all the zeros of a polynomial given one complex zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...

In This Episode, Tyler Teaches Us About ADDING REAL NUMBERS - Algebra 1.4

👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...

These changed how I think about higher dimensions

👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...

In previous lectures we have seen that quadratic equations that have no solutions when only real values are considered, do have solutions when complex numbers are allowed as input and output values. In this lecture, we check the complex...

This video is a review of Two Dimensional Vectors. This video goes over properties of vector operations. Properties are also proven geometrically and algebraically.

👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...

👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...

👉 Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.

👉 Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.

👉 Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.

It explains how to find whether the given relation is a function or not when the relation is represented in various algebraic and geometrical forms.

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...

👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...

In this video, we learn how to expand linear expressions with multiplication, addition, and subtraction. We explore the concept of rational coefficients and the importance of combining like terms. The properties of real numbers, such as...

In this video, the teacher explains how to recognize patterns and determine if they are linear. They use the example of counting blocks in rows to demonstrate how to identify a linear pattern and function. The teacher then shows how to...

This video explains the concept of putting restrictions on the domain of a function in order to make it well-defined. They give examples of functions and demonstrate how to determine the values that cause the function to be undefined. By...