Upper and Lower Bound In this video, I define what it means for a set to be bounded above and bounded below. This will be useful in our definition of inf and sup. Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh
From playlist Real Numbers
Math 101 091517 Introduction to Analysis 07 Consequences of Completeness
Least upper bound axiom implies a "greatest lower bound 'axiom'": that any set bounded below has a greatest lower bound. Archimedean Property of R.
From playlist Course 6: Introduction to Analysis (Fall 2017)
Math 101 091317 Introduction to Analysis 06 Introduction to the Least Upper Bound Axiom
Definition of the maximum (minimum) of a set. Existence of maximum and minimum for finite sets. Definitions: upper bound of a set; bounded above; lower bound; bounded below; bounded. Supremum (least upper bound); infimum (greatest lower bound). Statement of Least Upper Bound Axiom (com
From playlist Course 6: Introduction to Analysis (Fall 2017)
Calculating With Upper & Lower Bounds | Number | Maths | FuseSchool
Calculating With Upper & Lower Bounds | Number | Maths | FuseSchool In this video we are going to look at how to calculate with upper and lower bounds. To find the upper bound of an addition or of an area, you would want to multiply the upper bounds of both measurements, as this would g
From playlist MATHS: Numbers
Math 101 Introduction to Analysis 091815: Least Upper Bound Axiom
The least upper bound axiom. Maximum and minimum of a set of real numbers. Upper bound; lower bound; bounded set. Least upper bound; greatest lower bound.
From playlist Course 6: Introduction to Analysis
GCSE Upper and Lower Bounds Introduction Measures of Accuracy
www.m4ths.com GCSE and A Level Worksheets, videos and helpbooks. Full course help for Foundation and Higher GCSE 9-1 Maths All content created by Steve Blades
From playlist GCSE Upper and Lower Bounds
Degrees of Hardness - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
Least Upper Bound Property In this video, I state the least upper bound property and explain what makes the real numbers so much better than the rational numbers. It's called Real Analysis after all! Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZ
From playlist Real Numbers
Monotone Sequence implies Least Upper Bound
Monotone Sequence Theorem implies Least Upper Bound Property In this video, I prove a very interesting analysis result, namely that the Monotone Sequence Theorem is EQUIVALENT to the Least Upper Bound Property. This makes the least upper bound property more intuitive, in my opinion. Chec
From playlist Sequences
Worldwide Calculus: Theorems on Sequences
Lecture on 'Theorems on Sequences' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Worldwide Single-Variable Calculus for AP®
Real Analysis Ep 3: The Axiom of Completeness
Episode 3 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about the completeness axiom for the real numbers. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker we
From playlist Math 3371 (Real analysis) Fall 2020
Lecture 3: Cantor's Remarkable Theorem and the Rationals' Lack of the Least Upper Bound Property
MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw Finishing the lecture on Cantor’s notion of
From playlist MIT 18.100A Real Analysis, Fall 2020
Free ebook http://tinyurl.com/EngMathYT An introduction to the convergence property of monotonic and bounded sequences. The main idea is known as the "Monotonic convergence thoerem" and has important applications to approximating solutions to equations. Several examples are presented to
From playlist A second course in university calculus.
Descartes Rule of Signs - Upper and Lower Bounds
TabletClass Math http://www.tabletclass.com . This explains Descartes Rule of Signs. The lesson is designed to focus on on how Descartes Rule of Signs helps finds the zeros of a polynomial.
From playlist Pre-Calculus / Trigonometry
Lecture 5: The Archimedian Property, Density of the Rationals, and Absolute Value
MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw We show that the real numbers satisfy the A
From playlist MIT 18.100A Real Analysis, Fall 2020
Lecture 4: The Characterization of the Real Numbers
MIT 18.100A Real Analysis, Fall 2020 Instructor: Dr. Casey Rodriguez View the complete course: http://ocw.mit.edu/courses/18-100a-real-analysis-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61O7HkcF7UImpM0cR_L2gSw An introduction to properties of fields and
From playlist MIT 18.100A Real Analysis, Fall 2020
Nodal domains for Maass forms - Peter Sarnak
Workshop on Representation Theory and Analysis on Locally Symmetric Spaces Topic: Nodal domains for Maass forms Speaker: Peter Sarnak Affiliation: Professor, School of Mathematics Date: March 9, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Math 131 083116 Lecture #01 Ordered Sets and Boundedness
[Notes for the course and others may be downloaded at http://community.scrippscollege.edu/wcwou/online-resources/class-notes/.] Heading towards the real (and complex) numbers: problems with the rational numbers (algebraic incompleteness, analytic incompleteness). Square root of two is ir
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Lower Bound on Complexity - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
3. Forbidding a subgraph II: complete bipartite subgraph
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX What is the maximum number of edges in a graph forbidding
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019