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Support the production of this course by joining Wrath of Math to access all my real analysis videos plus the lecture notes at the ...

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We present the precise definition of continuity and prove that it is equivalent to "sequential continuity". Further, we relate this to the ...

Support the production of this course by joining Wrath of Math to access all my real analysis videos plus the lecture notes at the ...

Support the production of this course by joining Wrath of Math to access all my real analysis videos plus the lecture notes at the ...

In this video we begin our study of continuous functions between metric spaces. We start by explaining terminology, such as ...

We introduce the notion of uniform continuity and give some motivating examples and calculuations. Please Subscribe: ...

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Episode 25 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class.

We outline the difference between "point-wise" continuous functions and uniformly continuous functions. Basically, with "normal" ...

We prove that the standard definition for the continuity of a function on the real line is equivalent to the topological definition ...

We introduce the notion of differentiability and the derivative. Next, we give an example and a non-example. Finally, we prove that ...

Support the production of this course by joining Wrath of Math to access all my real analysis videos plus the lecture notes at the ...

We prove that f(x)=|x|, also known as f(x)=abs(x), the absolute value function, is continuous on the real numbers. We complete this ...

We give the definition of the lower integral, upper integral, and what it means for a function to be integrable. A few results are also ...

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This calculus video tutorial explains how to identify points of discontinuity or to prove a function is continuous / discontinuous at a ...

We show that the square root function is uniformly continuous on its domain. Please Subscribe: ...

We prove that f(x)=e^x, the natural exponential function, is continuous on its entire domain - the real numbers. We complete this ...

Learn the meaning behind Continuity and Differentiability. This video explains what Continuity is and the 3 rules for a function to ...