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## Limits and continuity

In this step we will investigate discontinuity in complex functions. We will learn how to find out if a function is continuous or discontinuous and their respective range. A function …

## Discontinuity

In this final step of the integrals section we will take a look at how to calculate integrals of discontinuous functions. All discontinuity points are divided into discontinuities of the …

## The idea of limits

To get started, we’ll learn about the concept of a limit or limiting process. We understand limits by using an intuitive approach through the recent example of the first image …

## Infinite limits

In this step we will learn about infinite limits and some of their applications. Some functions “take off” in the positive or negative direction (they increase or decrease without bound) …

## The chain rule

In the last video step on derivatives, we will learn how to use the implicit differentiation to solve equations and how the chain rule relates. In most discussions of math, …

## Approximating areas under curves

This week we are diving into a new topic, integrals. First, we will define integrals and their notation, how to calculate them and where to use them. For a continuous …

## Riemann sums

In this step we will look at how to use Riemann sums to approximate definite integrals. We will also learn about the difference between left and right, midpoint and trapezoidal …

## Difference quotient

In this step we define the difference quotient. We will learn how to determine a new value of a quantity from the old value and the amount of change and …

## Tangent lines

Now let’s turn our focus to tangent lines. Here we will define the point of tangency and explain how derivatives are related to tangents. A tangent line for a function …