Definition of infinity In this video, I define the concept of infinity (as used in analysis), and explain what it means for sup(S) to be infinity. In particular, the least upper bound property becomes very elegant to write down. Check out my real numbers playlist: https://www.youtube.co
From playlist Real Numbers
Indeterminate Forms In this video, I introduce the concept of indeterminate forms and explain why it is necessary to even have calculus. Then, I go over the main forms, all while emphasizing that in each of them, there is a tug-of-war situation going on. Enjoy! Check out my Calculus Play
From playlist Calculus
This video provides a description of infinity with several examples. http://mathispower4u.com
From playlist Linear Inequalities in One Variable Solving Linear Inequalities
What happens to limits at infinity. We also look at one of the uses of limits: continuity.
From playlist Life Science Math: Limits in calculus
Touching Infinity: It's Not Out of Reach
The conventional way to represent the Real Number system is to think of the numbers as corresponding to points along an infinite straight line. The problem is that in this representation there is no place for "infinity". Infinity is not a real number. This video shows an alternate visua
From playlist Lessons of Interest on Assorted Topics
What’s the biggest number you can think of? Well, what about one more than that number? We can’t really comprehend the idea of infinity, but it’s still a useful concept in science. Brian Greene explains more. Subscribe to our YouTube Channel for all the latest from World Science U. Visit
From playlist Science Unplugged: Physics
Can You Define the Immeasurable?
What is infinity? Can you define something that, by definition, has no boundaries? A subject extensively studied by philosophers, mathematicians, and more recently, physicists and cosmologists, infinity still stands as an enigma of the intellectual world. We asked people from all walks of
From playlist Mathematics
It's a concept which intrigues mathematicians, but scientists aren't so keen on it. More at http://www.sixtysymbols.com/
From playlist From Sixty Symbols
Complex Analysis: Residue At Infinity
Today, we take a look an interesting concept called the residue at infinity.
From playlist Contour Integration
Complex analysis: Residue calculus
This lecture is part of an online undergraduate course on complex analysis. We describe the residue calculus, and show how to use it to evaluate some integrals. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj537_iYA5QrvwhvMlpkJ1yGN
From playlist Complex analysis
Complex Analysis: The Basel Problem
Today, we solve the Basel Problem using complex analysis! Residues at higher order poles: https://www.youtube.com/watch?v=9hdZDHkKoAM This is a long video, so here are some timestamps for each section 1:14 Chapter 1 - Motivation 5:45 Chapter 2 - Finding f(z) 13:51 Chapter 3 - Sum of the
From playlist Contour Integration
Ome-god! A stunning integral - Wacky Calc Wednesday
I love you, please subscribe: https://www.youtube.com/channel/UClMCwEEK5Xfm7OMGjW0FYzQ?view_as=subscriber Instagram: https://www.instagram.com/whatthehectogon/ Email: whatthehectagon@gmail.com I've been waiting to do this integral for so long! It's a truly magnificent result, and a gre
From playlist Wacky Calc Wednesdays
Residues of Complex Functions -- Complex Analysis 21
⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http
From playlist Complex Analysis
Integrals of Rational Functions from -Infinity to Infinity
I created this video with the YouTube Video Editor (http://www.youtube.com/editor)
From playlist Complex Analysis Made Simple
Complex Analysis: Basel Problem Variation
Today, we use the residue theorem from complex analysis to evaluate a similar infinite sum to the Basel problem. Basel Problem using complex analysis: https://www.youtube.com/watch?v=5R0JFhFc7VI
From playlist Contour Integration
Complex Analysis: Dogbone Contour Generalisation
Today, we come up with a very nice generalisation for an integral using the dogbone contour from complex analysis. Dogbone contour example: https://www.youtube.com/watch?v=UDIKojCQ94U&t=2s Residue at Infinity: https://www.youtube.com/watch?v=n3bD3MW6Hvk
From playlist Contour Integration
Infinite Limits With Equal Exponents (Calculus)
#Calculus #Math #Engineering #tiktok #NicholasGKK #shorts
From playlist Calculus
Complex Analysis: Dogbone Contour Example
Today, we go over the solution to an example of the dogbone contour. This example was taken from the following wikipedia page: https://en.wikipedia.org/wiki/Contour_integration Residues At Infinity: https://www.youtube.com/watch?v=n3bD3MW6Hvk Timestamps: 0:46 Step 1: The branch cuts 13:2
From playlist Contour Integration