Math 030 Calculus I 030415: Rigorous Definition of Derivative
Formal definition of differentiability at a point; definition of the derivative of a function; interpretation of differentiability at a point ("being line-like as one zooms in"); various notations for the derivative; differentiability implies continuity; examples of calculating the derivat
From playlist Course 2: Calculus I
Math 101 Fall 2017 112917 Introduction to Compact Sets
Definition of an open cover. Definition of a compact set (in the real numbers). Examples and non-examples. Properties of compact sets: compact sets are bounded. Compact sets are closed. Closed subsets of compact sets are compact. Infinite subsets of compact sets have accumulation poi
From playlist Course 6: Introduction to Analysis (Fall 2017)
The "tangent plane" of the graph of a function is, well, a two-dimensional plane that is tangent to this graph. Here you can see what that looks like.
From playlist Multivariable calculus
Completeness and Orthogonality
A discussion of the properties of Completeness and Orthogonality of special functions, such as Legendre Polynomials and Bessel functions.
From playlist Mathematical Physics II Uploads
This video explains what is taught in discrete mathematics.
From playlist Mathematical Statements (Discrete Math)
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
Calculus - What is a Derivative? (3 of 8) Slope of a Tangent Line to a Curve
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the slope of a tangent line to a curve.
From playlist CALCULUS 1 CH 2 WHAT IS A DERIVATIVE?
How to Solve Absolute Value Inequalities
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Solve Absolute Value Inequalities
From playlist College Algebra
Calculus: What is zero to the power of zero?
This mathematics video discusses the question of what is 0^0 (zero to the power of zero) and explains the two reasonable answers to this question.
From playlist Math talks
Introducing Modes of the major scale | Maths and Music | N J Wildberger
Let's introduce the classical modes of the major scale: Ionian, Dorian, Phrygian, Lydian, Mixolydian, Aeolian and Locrian. But we want to do this in two different ways! In our next video, we will be wanting to generalize this construction considerably, and also to free it from this curren
From playlist Maths and Music
Pitch, Saxes, and Transpositions | Maths and Music | N J Wildberger
Tones, notes and pitches are subtly different concepts. In music theory, the crucial role of transposition motivates us to a flexible approach to the musical duo decimal system of note naming. One way that this arises is through the various different keys that band and orchestral instrumen
From playlist Maths and Music
The impossibility of a Pythagorean scale and "sqrt(2)" | Maths and Music | N J Wildberger
Let's use the important cycle of fifths and the musical clock system based on the 12 tone chromatic scale to try to precisely create frequencies for a "perfect" scale. This attempt we know is doomed to failure, but it is instructive to see the same arithmetical issue encountered in the pre
From playlist Maths and Music
Exploring 3 Dimensions - Abigail Thompson
Friends Lunch with a Member: December 4, 2015 "Exploring 3 Dimensions" Abigail Thompson More videos on http://video.ias.edu
From playlist Friends of the Institute
Leonard Mlodinow - Why Is There Anything At All? (Part 2)
Why is there a world, a cosmos, something, anything instead of absolutely nothing at all? If nothing existed, there would be, well, 'nothing' to explain. To have anything existing demands some kind of explanation. Click here to watch more interviews with Leonard Mlodinow http://bit.ly/2k
From playlist Closer To Truth - Leonard Mlodinow Interviews
Alex Bellos: PDE's and Geometric analysis explained
Alex Bellos, popular presenter explains the basic concepts behind John Nash and Louis Nirenberg's Abel Prize. This clip is a part of the Abel Prize Announcement 2015. You can view Alex Bellos own YouTube channel here: https://www.youtube.com/user/AlexInNumberland
From playlist Popular presentations
Notation and Basic Signal Properties
http://AllSignalProcessing.com for free e-book on frequency relationships and more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Signals as functions, discrete- and continuous-time signals, sampling, images, periodic signals, displayi
From playlist Introduction and Background
The Mathematics of our Universe
Sign up with brilliant and get 20% off your annual subscription: https://brilliant.org/MajorPrep/ STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Follow up video: https://youtu.be/mmtL
From playlist Applied Math
Lec 7b - Phys 237: Gravitational Waves with Kip Thorne
Watch the rest of the lectures on http://www.cosmolearning.com/courses/overview-of-gravitational-wave-science-400/ Redistributed with permission. This video is taken from a 2002 Caltech on-line course on "Gravitational Waves", organized and designed by Kip S. Thorne, Mihai Bondarescu and
From playlist Caltech: Gravitational Waves with Kip Thorne - CosmoLearning.com Physics
Just because the tangent plane to a multivariable function is flat, it doesn't mean that point is a local minimum or a local maximum. There is a third possibility, new to multivariable calculus, called a "saddle point".
From playlist Multivariable calculus
The Abel Prize announcement 2015 - John Nash & Louis Nirenberg
0:42 The Abel Prize announced by Kirsti Strøm Bull, President of The Norwegian Academy of Science and Letters 2:31 Citation by John Rognes, Chair of the Abel committee 8:50 Popular presentation of the prize winners work by Alex Bellos, British writer, and science communicator 23:09 Phone i
From playlist The Abel Prize announcements