Partition of an interval

13 Equivalence sets

We have seen an example of partitioning in the previous video. These partitioned sets are called equivalence sets or equivalence classes. In this video we look at some notation.

From playlist Abstract algebra

Partitions of a Set | Set Theory

What is a partition of a set? Partitions are very useful in many different areas of mathematics, so it's an important concept to understand. We'll define partitions of sets and give examples in today's lesson! A partition of a set is basically a way of splitting a set completely into disj

From playlist Set Theory

Partitioning Line Segments

Geometry – Partitioning a Segment – Video Lecture Topics discussed include: directed line segments, ratios, slope, finding a point that partitions a segment to a specified ratio.

From playlist Geometry

Abstract Algebra | Partitions and Equivalence Relations

We prove that there is a one-to-one correspondence between partitions of a set and equivalence relations on a set. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

Closed Intervals, Open Intervals, Half Open, Half Closed

00:00 Intro to intervals 00:09 What is a closed interval? 02:03 What is an open interval? 02:49 Half closed / Half open interval 05:58 Writing in interval notation

From playlist Calculus

Example of Countable Partition

Real Analysis: We give an example of a partition of the natural numbers N consisting of a countably infinite number of countably infinite subsets. Conversely we note that a countable union of countably infinite sets is countably infinite.

From playlist Real Analysis

Visualizing division by fractions

3D animation giving an intuitive understanding of what it means to divide by a fraction.

From playlist Physics

Math 131 092816 Continuity; Continuity and Compactness

Review definition of limit. Definition of continuity at a point; remark about isolated points; connection with limits. Composition of continuous functions. Alternate characterization of continuous functions (topological definition). Continuity and compactness: continuous image of a com

From playlist Course 7: (Rudin's) Principles of Mathematical Analysis

Interval Notation (1 of 2: Bounded intervals)

More resources available at www.misterwootube.com

From playlist Working with Functions

Worldwide Calculus: Prelude to the Definite Integral: Riemann Sums (part A)

Lecture on 'Prelude to the Definite Integral: Riemann Sums (part A)' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Continuous Sums: the Definite Integral

Real Analysis | Refinements of partitions.

We introduce the notion of a refinement of a partition, give an example, and prove a few results related to the lower and upper sum. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http:/

From playlist Real Analysis

Lecture 21: The Riemann Integral of a Continuous Function

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 continue studying the Riemann integral,

From playlist MIT 18.100A Real Analysis, Fall 2020

Math 131 112116 Uniform Convergence and Integration

Quick introduction to Riemann integrability: partitions, upper and lower sums, upper and lower Riemann integrals, Riemann integrals. Definition: refinement of a partition; common refinement of two partitions. Observation: lower (upper) sums increase (decrease) for a refinement. Theorem:

From playlist Course 7: (Rudin's) Principles of Mathematical Analysis

Analysis III - Integration: Oxford Mathematics 1st Year Student Lecture:

The third in our popular series of filmed student lectures takes us to Integration. This is the opening lecture in the 1st Year course. Ben Green both links the course to the mathematics our students have already learnt at school and develops that knowledge, taking the students to the next

From playlist Oxford Mathematics 1st Year Student Lectures

Real Analysis | An important property of integration.

We prove that integrals of bounded functions can be split up by splitting the intervals of integration. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolp

From playlist Real Analysis

Riemann integral vs. Lebesgue integral [dark version]

Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or support me via Monero: 49NvFYs2BAQg3bqz4N6XijdtiQjw9MxTnbzsqAUDmNcxCMkxTmieJcTSv69NY8KWgWH2sk3zT8ATAF99LMjEQ2VoVPEe4zz PDF version here: https://tbsom.de/s/o

From playlist Measure Theory [dark version]

Worldwide Calculus: The Definite Integral (part A)

Lecture on 'The Definite Integral (part A)' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Continuous Sums: the Definite Integral

Real Analysis | Riemann Integrability

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 proven including the fact that any continuous function is Riemann integrable. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=

From playlist Real Analysis

Closed Interval Method fall 2012

An example of using the closed interval method

From playlist pExam3fall2012MAT241

Complete Formal Construction of The Riemann Integral from Calculus

Complete Formal Construction of The Riemann Integral from Calculus This video starts from the beginning and carefully constructs the Riemann Integral.

From playlist Calculus 1