Proof: Convergent Sequence is Bounded | Real Analysis
Any convergent sequence must be bounded. We'll prove this basic result about convergent sequences in today's lesson. We use the definition of the limit of a sequence, a useful equivalence involving absolute value inequalities, and then considering a maximum and minimum will help us find an
From playlist Real Analysis
Absolute Convergence, Conditional Convergence, and Divergence
This calculus video tutorial provides a basic introduction into absolute convergence, conditional convergence, and divergence. If the absolute value of the series convergences, then the original series will converge based on the absolute convergence test. If the absolute value of the ser
From playlist New Calculus Video Playlist
Convergent sequences are bounded
Convergent Sequences are Bounded In this video, I show that if a sequence is convergent, then it must be bounded, that is some part of it doesn't go to infinity. This is an important result that is used over and over again in analysis. Enjoy! Other examples of limits can be seen in the
From playlist Sequences
The Sum of Convergent Sequences Converges Proof
The Sum of Convergent Sequences Converges Proof If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Advanced Calculus
Proof: Sequence (n+1)/n Converges to 1 | Real Analysis
We will prove the sequence (n+1)/n converges to 1. In other words, we're proving that the limit of (n+1)/n as n approaches infinity is 1. We use the epsilon definition of a convergent sequence and the proof is straightforward, following the typical form of a convergent sequence proof. Re
From playlist Real Analysis
Proof: Sequence 1/sqrt(n) Converges to 0 | Real Analysis
We will prove the sequence 1/sqrt(n) converges to 0. In other words, we're proving that the limit of 1/sqrt(n) as n approaches infinity is 0. We use the epsilon definition of a convergent sequence and the proof is straightforward, following the typical form of a convergent sequence proof.
From playlist Real Analysis
Proof: Limit Law for Difference of Convergent Series | Real Analysis
We prove the limit law for the difference of convergent series. If two series converge to a and b, then the series whose terms are the differences of the terms of the original two series is the difference of the limits: a-b. We'll prove this using the limit law for the difference of conver
From playlist Real Analysis
Ex 2: Determine if a Series Is Conditionally Convergent, Absolutely Convergent, or Divergent
This video explains how to determine if a series is conditionally convergent, absolutely convergent, or divergent. Site: http://mathispower4u.com
From playlist Infinite Series
Divergence of series -- Calculus II
This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.
From playlist Calculus II
Math 031 050317 Introduction to Complex Power Series
Complex power series. Comment: the analogous theorems (from real power series) still hold. Convergence at a point implies absolute convergence on an open disk. Form of the domain of convergence. Power series expansions for exponential function, sine and cosine converge on the whole pla
From playlist Course 3: Calculus II (Spring 2017)
Power Series Representation of Functions Calculus 2 BC
I work through four examples of finding Geometric Powers Series to represent a given function about a center c. The third and fourth examples use Operations with Power Series, Partial Fractions, and finding the integral of a series. Example 1 at 1:47 Example 2 at 6:23 Example 3 involving
From playlist Calculus 2
R - Multitrait Multimethod (MTMM) Lecture
Lecturer: Dr. Erin M. Buchanan Spring 2021 https://www.patreon.com/statisticsofdoom This video covers multi trait multi method analyses, which can be used to understand the convergent and divergent validity of scales. You will learn how to program and examine the steps to these models us
From playlist Structural Equation Modeling 2020
36th Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk
Title: Methods for $\ell_p$-$\ell_q$ minimization with applications to image restoration and regression with nonconvex loss and penalty. Date: December 1, 2021, 10:00am Eastern Time Zone (US & Canada) / 2:00pm GMT Speaker: Lothar Reichel, Kent State University Abstract: Minimization prob
From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series
Twenty third SIAM Activity Group on FME Virtual Talk Series
Date: Thursday, December 2, 2021, 1PM-2PM ET Speaker 1: Renyuan Xu, University of Southern California Speaker 2: Philippe Casgrain, ETH Zurich and Princeton University Moderator: Ronnie Sircar, Princeton Universit Join us for a series of online talks on topics related to mathematical fina
From playlist SIAM Activity Group on FME Virtual Talk Series
Numberphile v. Math: the truth about 1+2+3+...=-1/12
Confused 1+2+3+…=-1/12 comments originating from that infamous Numberphile video keep flooding the comment sections of my and other math YouTubers videos. And so I think it’s time to have another serious go at setting the record straight by having a really close look at the bizarre calcula
From playlist Recent videos
Interval of Convergence of Power Series Calculus 2 BC (3 Examples)
I work through three examples determining the interval of convergence of Power Series. Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. If you wish to make a donation to help support my efforts please use
From playlist Calculus 2
Stanford CS229: Machine Learning | Summer 2019 | Lecture 13-Statistical Learning Uniform Convergence
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3py8nGr Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html
From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)
Mioara Joldes: Validated symbolic-numerci algorithms and practical applications in aerospace
In various fields, ranging from aerospace engineering or robotics to computer-assisted mathematical proofs, fast and precise computations are essential. Validated (sometimes called rigorous as well) computing is a relatively recent field, developed in the last 20 years, which uses numerica
From playlist Probability and Statistics
Absolutely and Conditionally Convergent Series
This video explains how to determine if a series on conditionally convergent or absolutely convergent. http://mathispower4u.yolasite.com/
From playlist Infinite Sequences and Series