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Po-Shen Loh is a Hertz Foundation Fellow and Carnegie Mellon mathematics professor who thinks that history is a much harder subject than math. Do you agree? Well, your position on that might change before and after this video. Loh illuminates the invisible ladders within the world of math, and shows that it isn't about memorizing formulas—it's about processing reason and logic. With the support of the Fannie and John Hertz Foundation, Po-Shen Loh pursued a PhD in combinatorics at the Pure Math Department at Princeton University.
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PO-SHEN LOH:
Po-Shen Loh, PhD, is associate professor of mathematics at Carnegie Mellon University, which he joined, in 2010, as an assistant professor in the Department of Mathematical Sciences. As a Hertz Fellow, Professor Loh received his PhD in combinatorics of the Pure Math Department at Princeton University. His thesis discussed several original results that he discovered during his graduate study in joint projects with his advisor and other collaborators. Professor Loh studies questions that lie at the intersection of two branches of mathematics: combinatorics (the study of discrete systems) and probability theory.
Prior to his work at Princeton, Loh received the equivalent of a master's degree in mathematics from the University of Cambridge (United Kingdom) in 2005, where he was supported by a Winston Churchill Foundation Scholarship. He received his undergraduate degree in mathematics from Caltech in 2004, graduating first in his class, and his undergraduate thesis later received the Honorable Mention for the 2004 AMS-MAA-SIAM Morgan Prize.
In his spare time, Loh has maintained his involvement with the United States Mathematical Olympiad program. He is now the head coach of the national delegation, as well as a lead fundraiser for the organization. As a high school student, he won a silver medal at the 1999 International Mathematical Olympiad (IMO), and following his win continued to be active in the training of high school students at the U.S. national Math Olympiad Summer Program. In 2004, he served as the deputy leader for the U.S. team at the IMO in Athens, Greece, where our national team placed second. After completing his PhD, Loh again, served as deputy team leader for the United States at the International Mathematical Olympiad from 2010 to 2013. Afterwards Professor Loh was promoted to national head coach of the U.S.A. IMO team, and on his second attempt, Team U.S.A. won first place, in a competition with teams from over 100 countries represented.
Earlier this year, Loh received an NSF CAREER award, the most prestigious NSF award for junior faculty, which honors outstanding research combined with a commitment to teaching. Professor Loh is the founder of the educational technology startup expii.com, a crowd-sourced platform for the world to share interactive lessons in math and science.
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TRANSCRIPT:
Po-Shen Lo: I think that everyone in the world could be a math person if they wanted to. The keyword though, I want to say, is if they wanted to. That said, I do think that everyone in America could benefit from having that mathematical background in reasoning just to help everyone make very good decisions. And here I'm distinguishing already between math as people usually conceive of it, and decision making and analysis, which is actually what I think math is.
So, for example, I don't think that being a math person means that you can recite the formulas between the sines, cosines, tangents and to use logarithms and exponentials interchangeably. That's not necessarily what I think everyone should try to concentrate to understand. The main things to concentrate to understand are the mathematical principles of reasoning.
But let me go back to these sines, cosines and logarithms. Well actually they do have value. What they are is that they are ways to show you how these basic building blocks of reasoning can be used to deduce surprising things or difficult things. In some sense they're like the historical coverages of the triumphs of mathematics, so one cannot just talk abstractly about “yes let's talk about mathematical logic”, it's actually quite useful to have case studies or stories, which are these famous theorems.
Now, I actually think that these are accessible to everyone. I think that actually one reason mathematics is difficult to understand is actua...
For the full transcript, check out https://bigthink.com/videos/po....-shen-loh-says-anyon
Math flashcards. Subtraction. Kindergarten, 1st, 2nd grade.
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In this video, I'm going to show you a really easy trick to learn and memorize the 12 times table. This trick will be really helpful to remember the 12 times table, so please share this video with your family and friends after you watch this video! Thank you and make sure to subscribe!
It's the complete set of Numberblocks Mathlink Cubes from @learningresources . This video features 1-20 and comes with a top hat, helmet and skateboard accessories! It even comes with Numberblock 0!
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This video is a compilation of my videos covering the tricks for the 2 to 9 tables each. If you practice the tricks featured in this video, you will soon be able to master all of these tables. These tricks are very useful, so please share this video with your family and friends after you watch this video.
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This video tutorial provides a basic introduction into geometry.
Lines, Rays, Line Segments, & Angles: https://www.youtube.com/watch?v=oeO8f0taQDA
Acute, Obtuse, Right, & Straight Angles: https://www.youtube.com/watch?v=VjRXfemAbuc
Decimal Degrees to DMS Formula: https://www.youtube.com/watch?v=W9kousU6AI0
Clock to Angle Problems: https://www.youtube.com/watch?v=LEHYr0XfSyI
Angle Bisector Theorem - Midpoints: https://www.youtube.com/watch?v=2I7ghedeoec
Converse, Inverse, & Contrapositive: https://www.youtube.com/watch?v=TCBu8PD4Lls
Geometry Probability - Length & Area: https://www.youtube.com/watch?v=DeH5aHWxEaI
Perpendicular Lines, Rays, & Segments: https://www.youtube.com/watch?v=-QFNMEnfRQA
Complementary & Supplementary Angles: https://www.youtube.com/watch?v=MKgsObfVHmk
Addition & Subtraction Equality Property: https://www.youtube.com/watch?v=RslDIFh_kG8
Multiplication & Division Property Equality: https://www.youtube.com/watch?v=nYCrcq5YDvQ
Transitive Property of Congruence: https://www.youtube.com/watch?v=H3hvDbxntfo
Triangles - Basic Introduction: https://www.youtube.com/watch?v=DdAwGinauoI
Alternate Interior & Exterior Angles: https://www.youtube.com/watch?v=e4o7X6LyX-I
______________________________________________________________________________________________
2 Column Proofs of Congruent Segments: https://www.youtube.com/watch?v=cboityRIf4Q
2 Column Proofs of Angles: https://www.youtube.com/watch?v=kXcG6oYh3i8
Triangle Congruence - SSS, SAS, ASA: https://www.youtube.com/watch?v=jWHOF6cFbpw
CPCTC - 2 Column Proofs With Triangles: https://www.youtube.com/watch?v=eq1frp_ZyP8
Median of a Triangle Formula: https://www.youtube.com/watch?v=_JdkDR4R8E4
Altitude of a Triangle - Orthocenter: https://www.youtube.com/watch?v=oJyTKVcE4iM
Triangles, Medians, & Altitudes - Proofs: https://www.youtube.com/watch?v=ZJ_gqFidInk
2 Column Proofs - Isosceles Triangles: https://www.youtube.com/watch?v=6Yx923Ocoh4
Angle Side Theorem - 2 Column Proofs: https://www.youtube.com/watch?v=mwcH3nhXtPQ
Hypotenuse Leg Theorem - HL Postulate: https://www.youtube.com/watch?v=DKSTjS0n3mY
______________________________________________________________________________________________
Detour Proofs - Double Triangle Congruence: https://www.youtube.com/watch?v=1HOrB5yvEl0
The Midpoint Formula: https://www.youtube.com/watch?v=pzDfd8NXRXk
Missing Diagrams - 2 Column Proofs: https://www.youtube.com/watch?v=IaqzuGweGZ8
Right Angle Theorem - SSS & SAS: https://www.youtube.com/watch?v=FRbFMp8mg1s
Perpendicular Bisector Theorem: https://www.youtube.com/watch?v=xyNBZuUjmSE
Altitude, Median, Midpoint & P. Bisector: https://www.youtube.com/watch?v=SyzkgBjXtIs
Parallel & Perpendicular Lines - Slope: https://www.youtube.com/watch?v=bq3fKZVTflU
Indirect Proofs - Example Problems: https://www.youtube.com/watch?v=GawWGpnjy1c
Proving Parallel Lines With Proofs: https://www.youtube.com/watch?v=0eYzPVgylO8
The Exterior Angle Theorem: https://www.youtube.com/watch?v=ndqxxAUDF5Y
Exterior Angle Inequality Theorem: https://www.youtube.com/watch?v=rfMZwrq-wL8
______________________________________________________________________________________________
Polygons: https://www.youtube.com/watch?v=E_-3ulbtcLk
Quadrilaterals: https://www.youtube.com/watch?v=ogcH3eM5beM
Parallelograms: https://www.youtube.com/watch?v=t42sLuns4Qs
Rectangles - Special Quadrilaterals: https://www.youtube.com/watch?v=Ov4aTty67A8
Isosceles Trapezoids: https://www.youtube.com/watch?v=AlyWS8bG3kE
The Rhombus: https://www.youtube.com/watch?v=uXo_Vpctmrg
Kites: https://www.youtube.com/watch?v=UTgF6lSAMa8
______________________________________________________________________________________________
Geometry Review - Study Guide: https://www.youtube.com/watch?v=KtZai86htng
Geometry Final Exam Review Questions: https://www.youtube.com/watch?v=puxjcvBL2IE
FREE TRIAL LINK:
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Thank you for watching our addition math facts song about adding doubles and learning to add with us!
How to learn times tables - use your hands!
This easy math trick allows you to quickly learn the harder questions on the sixes, sevens, eights, nines and tens.
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Welcome to Subtracting Mixed Numbers with Mr. J! Need help with how to subtract mixed numbers? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for how to subtract mixed numbers with unlike denominators. Mr. J will go through subtracting mixed numbers examples and explain the subtracting mixed numbers steps.
About Math with Mr. J: This channel offers instructional videos that are directly aligned with math standards. Teachers, parents/guardians, and students from around the world have used this channel to help with math content in many different ways. All material is absolutely free.
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Hopefully this video is what you're looking for when it comes to subtracting mixed numbers.
Have a great rest of your day and thanks again for watching!
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Other Links
🖲 National mathematics part 1 : https://youtu.be/SWrVWfdtjVw
🖲Essay on Ramanujan : https://youtu.be/dYnIN0h7GuI
🖲Mathematics quiz : https://youtu.be/wZNDoRwTFDU
Part 2 mathematics quiz 2021
part 1 link given above 👆
1x1=1 to 10x10=100 Multiplication, Table of One to Ten Tables Song - Maths
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Interest is given Per Annum.
How to calculate amount of Interest? # Shorts
The ultimate number block tower was made by stacking them up to the moon. Most of this video is animated because they soon become impossible to balance. I drew the Numberblock faces myself.
Learn Calculus 1 in this full college course.
This course was created by Dr. Linda Green, a lecturer at the University of North Carolina at Chapel Hill. Check out her YouTube channel: https://www.youtube.com/channe....l/UCkyLJh6hQS1TlhUZx
This course combines two courses taught by Dr. Green. She teaches both Calculus 1 and a Calculus 1 Corequisite course, designed to be taken at the same time. In this video, the lectures from the Corquisite course, which review important Algebra and Trigonometry concepts, have been interspersed with the Calculus 1 lectures at the places suggested by Dr. Green.
⭐️ Prerequisites ⭐️
🎥 Algebra: https://www.youtube.com/watch?v=LwCRRUa8yTU
🎥 Precalculus: https://www.youtube.com/watch?v=eI4an8aSsgw
⭐️ Lecture Notes ⭐️
🔗 Calculus 1 Corequisite Notes: http://lindagreen.web.unc.edu/....files/2020/08/course
🔗 Calculus 1 Notes: http://lindagreen.web.unc.edu/....files/2019/12/course
🔗 Viewer created notes (Thanks to Abdelrahman Ramzy): https://drive.google.com/file/....d/1Py5hyiOz61i4lh2PE
⭐️ Course Contents ⭐️
(0:00:00) [Corequisite] Rational Expressions
(0:09:40) [Corequisite] Difference Quotient
(0:18:20) Graphs and Limits
(0:25:51) When Limits Fail to Exist
(0:31:28) Limit Laws
(0:37:07) The Squeeze Theorem
(0:42:55) Limits using Algebraic Tricks
(0:56:04) When the Limit of the Denominator is 0
(1:08:40) [Corequisite] Lines: Graphs and Equations
(1:17:09) [Corequisite] Rational Functions and Graphs
(1:30:35) Limits at Infinity and Graphs
(1:37:31) Limits at Infinity and Algebraic Tricks
(1:45:34) Continuity at a Point
(1:53:21) Continuity on Intervals
(1:59:43) Intermediate Value Theorem
(2:03:37) [Corequisite] Right Angle Trigonometry
(2:11:13) [Corequisite] Sine and Cosine of Special Angles
(2:19:16) [Corequisite] Unit Circle Definition of Sine and Cosine
(2:24:46) [Corequisite] Properties of Trig Functions
(2:35:25) [Corequisite] Graphs of Sine and Cosine
(2:41:57) [Corequisite] Graphs of Sinusoidal Functions
(2:52:10) [Corequisite] Graphs of Tan, Sec, Cot, Csc
(3:01:03) [Corequisite] Solving Basic Trig Equations
(3:08:14) Derivatives and Tangent Lines
(3:22:55) Computing Derivatives from the Definition
(3:34:02) Interpreting Derivatives
(3:42:33) Derivatives as Functions and Graphs of Derivatives
(3:56:25) Proof that Differentiable Functions are Continuous
(4:01:09) Power Rule and Other Rules for Derivatives
(4:07:42) [Corequisite] Trig Identities
(4:15:14) [Corequisite] Pythagorean Identities
(4:20:35) [Corequisite] Angle Sum and Difference Formulas
(4:28:31) [Corequisite] Double Angle Formulas
(4:36:01) Higher Order Derivatives and Notation
(4:39:22) Derivative of e^x
(4:46:52) Proof of the Power Rule and Other Derivative Rules
(4:56:31) Product Rule and Quotient Rule
(5:02:09) Proof of Product Rule and Quotient Rule
(5:10:40) Special Trigonometric Limits
(5:17:31) [Corequisite] Composition of Functions
(5:29:54) [Corequisite] Solving Rational Equations
(5:40:02) Derivatives of Trig Functions
(5:46:23) Proof of Trigonometric Limits and Derivatives
(5:54:38) Rectilinear Motion
(6:11:41) Marginal Cost
(6:16:51) [Corequisite] Logarithms: Introduction
(6:25:32) [Corequisite] Log Functions and Their Graphs
(6:36:17) [Corequisite] Combining Logs and Exponents
(6:40:55) [Corequisite] Log Rules
(6:49:27) The Chain Rule
(6:58:44) More Chain Rule Examples and Justification
(7:07:43) Justification of the Chain Rule
(7:10:00) Implicit Differentiation
(7:20:28) Derivatives of Exponential Functions
(7:25:38) Derivatives of Log Functions
(7:29:38) Logarithmic Differentiation
(7:37:08) [Corequisite] Inverse Functions
(7:51:22) Inverse Trig Functions
(8:00:56) Derivatives of Inverse Trigonometric Functions
(8:12:11) Related Rates - Distances
(8:17:55) Related Rates - Volume and Flow
(8:22:21) Related Rates - Angle and Rotation
(8:28:20) [Corequisite] Solving Right Triangles
(8:34:54) Maximums and Minimums
(8:46:18) First Derivative Test and Second Derivative Test
(8:51:37) Extreme Value Examples
(9:01:33) Mean Value Theorem
(9:09:09) Proof of Mean Value Theorem
(0:14:59) [Corequisite] Solving Right Triangles
(9:25:20) Derivatives and the Shape of the Graph
(9:33:31) Linear Approximation
(9:48:28) The Differential
(9:59:11) L'Hospital's Rule
(10:06:27) L'Hospital's Rule on Other Indeterminate Forms
(10:16:13) Newtons Method
(10:27:45) Antiderivatives
(10:33:24) Finding Antiderivatives Using Initial Conditions
(10:41:59) Any Two Antiderivatives Differ by a Constant
(10:45:19) Summation Notation
(10:49:12) Approximating Area
(11:04:22) The Fundamental Theorem of Calculus, Part 1
(11:15:02) The Fundamental Theorem of Calculus, Part 2
(11:22:17) Proof of the Fundamental Theorem of Calculus
(11:29:18) The Substitution Method
(11:38:07) Why U-Substitution Works
(11:40:23) Average Value of a Function
(11:47:57) Proof of the Mean Value Theorem for Integrals
This precalculus video tutorial provides a basic introduction into solving matrix equations. It contains plenty of examples and practice problems on solving equations with matrices.
Introduction to Matrices: https://www.youtube.com/watch?v=yRwQ7A6jVLk
Adding and Subtracting Matrices:
https://www.youtube.com/watch?v=QXUbFzEd3Ww
Scalar Multiplication of Matrices:
https://www.youtube.com/watch?v=iJERwUVuwtY
Solving Matrix Equations:
https://www.youtube.com/watch?v=UHhvcj0doaA
Multiplying Matrices:
https://www.youtube.com/watch?v=vzt9c7iWPxs
__________________________________
Gaussian Elimination & Row Echelon Form:
https://www.youtube.com/watch?v=eDb6iugi6Uk
Gauss Jordan Elimination:
https://www.youtube.com/watch?v=eYSASx8_nyg
Gaussian Elimination With 4 Variables:
https://www.youtube.com/watch?v=4VAXv6yRULU
Inverse of a 2x2 Matrix:
https://www.youtube.com/watch?v=aiBgjz5xbyg
Inverse of a 3x3 Matrix:
https://www.youtube.com/watch?v=Fg7_mv3izR0
__________________________________
Determinant of 2x2 and 3x3 Matrix:
https://www.youtube.com/watch?v=3ROzG6n4yMc
Determinant of 4x4 Matrix:
https://www.youtube.com/watch?v=fWzUwrt1Z0s
Cramer's Rule - 2x2 Linear System:
https://www.youtube.com/watch?v=vXqlIOX2itM
Cramer's Rule - 3x3 Linear System:
https://www.youtube.com/watch?v=Ot87qLTODdQ
___________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio
Learn how to read analog and digital clocks with this video! You will learn where the minute hand goes and how to tell what time it is by looking at the hour hand. Telling o'clock time is made easy with this educational video!
Be sure to check out our other videos:
Time Facts for kids: https://youtu.be/FX9luLK50Ps
Friends of 10 https://youtu.be/1pMEBNy8FNs
Multiplication for kids https://youtu.be/1UEtjbwvmLQ
Ty and Teen numbers https://youtu.be/ug3L3bninuE
2D Shapes for Kids https://youtu.be/9k0BxLn34FE
Easy DIY maths game: https://youtu.be/jfjiXCORTSU
Before and After numbers 0-30: https://youtu.be/cI4ex9hK4bU
We hope you have a great time watching the video, please remember to give it a big thumbs up and remember to SUBSCRIBE to our channel to get notified of our latest videos!
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Basic Science quiz for kids. 20 General Knowledge questions and answers that covers grades 1 - 5 science.
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UPDATED VIDEO HERE: https://youtu.be/VHCCgrNSSOg
This is an educational video where children can learn more about the human body. With this video you can see the parts of the skeletal system, including bones, joints, and cartilage, and learn more about how this system works.
This video corresponds to a collection about the human body, where children can learn about different systems such as the circulatory system, muscular system, and the digestive system.
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