Course: Applications of Calculus

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 …

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 …

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 …

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) …

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, …

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 …

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 …

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 …

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 …