Differential geometry of surfaces | Surfaces | Differential geometry
In differential geometry, the first fundamental form is the inner product on the tangent space of a surface in three-dimensional Euclidean space which is induced canonically from the dot product of R3. It permits the calculation of curvature and metric properties of a surface such as length and area in a manner consistent with the ambient space. The first fundamental form is denoted by the Roman numeral I, (Wikipedia).
First Fundamental Theorem of Calculus Calculus 1 AB
I introduce and define the First Fundamental Theorem of Calculus. I finish by working through 4 examples involving Polynomials, Quotients, Radicals, Absolute Value Function, and Trigonometric Functions. Check out http://www.ProfRobBob.com, there you will find my lessons organized by clas
From playlist Calculus
Introduction to derivatives | The derivation of the first principles equation - Calculus
This video discusses about one of the fundamental definitions in calculus which is the definition of the first derivative. In here, the idea behind the definition of derivatives and how the formula of the first principless came about is discussed in very simple terms so that it is beginner
From playlist Summer of Math Exposition Youtube Videos
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
Calculus of Trigonometric Functions (2 of 3: An alternative version of first principles)
More resources available at www.misterwootube.com
From playlist Differential Calculus
Differential Equations: First Order Linear Example 2
We present a solution to a first order linear differential equation.
From playlist First Order Linear Differential Equations
Differential Equation - 2nd Order Linear (4 of 17) The Fundamental Theory
Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce and explain the Fundamental Theory for the solution to 2nd order linear homogeneous differential equations. Next video in the series can be seen at: http://youtu.be/oItnzOZsayA
From playlist DIFFERENTIAL EQUATIONS 9 - 2nd ORDER INTRODUCTION
Applications of First Principles (3 of 4: The function √x)
More resources available at www.misterwootube.com
From playlist Introduction to Differentiation
Differential Equations: Linear First Order DEs Introduction
The second of the three analytic methods for solving first order differential equations is only valid if the differential equation is linear. In this video, we look at what it means for a differential equation to be linear and how it can then be solved.
From playlist Differential Equations
Fundamental Counting Principle | AND OR Rule | PERMUTATION SERIES | CREATA CLASSES
This is the first video under the PERMUTATION series. This video covers the Fundamental Principle of Counting. And also the concept of AND and OR is discussed in detail. All these with help of Animation & Visual tools. Visit our website: https://creataclasses.com/ For a full-length co
From playlist PERMUTATION
This lecture is part of an online graduate course on modular forms. We first show that the number of zeros of a (level 1 holomorphic) modular form in a fundamental domain is weight/12, and use this to show that the graded ring of modular forms is the ring of polynomials in E4 and E6. Fo
From playlist Modular forms
Webs in type C - Benjamin Elias
Workshop on Representation Theory and Geometry Topic: Webs in type C Speaker: Benjamin Elias Affiliation: University of Oregon; von Neumann Fellow, School of Mathematics Date: March 31, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
A positive proportion of plane cubics fail the Hasse principle - Manjul Bhargava [2011]
Arithmetic Statistics April 11, 2011 - April 15, 2011 April 11, 2011 (02:10 PM PDT - 03:00 PM PDT) Speaker(s): Manjul Bhargava (Princeton University) Location: MSRI: Simons Auditorium http://www.msri.org/workshops/567/schedules/12761
From playlist Number Theory
PERMUTATION | PERMUTATION SERIES | CREATA CLASSES
This is the 3rd video under the PERMUTATION series. This video covers the concept of Permutation in full detail using Animation & Visual Tools. Visit our website: https://creataclasses.com/ For a full-length course on PERMUTATION, COMBINATION & PROBABILITY: https://creataclasses.com/cou
From playlist PERMUTATION
A non-linear spinor theory of elementary particles
This presentation is about a non-linear spinor theory of elementary particles developed by Norbert Winter, an elementary particle physicist and former employee of the Max-Planck Institute for Physics in Munich, Germany. The idea of a non-linear theory of elementary particles dates back to
From playlist Summer of Math Exposition Youtube Videos
Francis Brown - 1/4 Mixed Modular Motives and Modular Forms for SL_2 (\Z)
In the `Esquisse d'un programme', Grothendieck proposed studying the action of the absolute Galois group upon the system of profinite fundamental groups of moduli spaces of curves of genus g with n marked points. Around 1990, Ihara, Drinfeld and Deligne independently initiated the study of
From playlist Francis Brown - Mixed Modular Motives and Modular Forms for SL_2 (\Z)
First order, linear differential equation
Free ebook http://tinyurl.com/EngMathYT How to solve a linear, first order differential equation.
From playlist A second course in university calculus.
S. Kebekus - Varieties with vanishing first Chern class
We investigate the holonomy group of singular Kähler-Einstein metrics on klt varieties with numerically trivial canonical divisor. Finiteness of the number of connected components, a Bochner principle for holomorphic tensors, and a connection between irreductibility of holonomy representat
From playlist Complex analytic and differential geometry - a conference in honor of Jean-Pierre Demailly - 6-9 juin 2017
Modular forms: Fundamental domain
This lecture is part of an online graduate course on modular forms. We describe the fundamental domain of SL2(Z) acting on the upper half plane. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj51HisRtNyzHX-Xyg6I3Wl2F
From playlist Modular forms
De Rham Cohomology: PART 1- THE IDEA
Credits: Animation: I animated the video myself, using 3Blue1Brown's amazing Python animation library "manim". Link to manim: https://github.com/3b1b/manim Link to 3Blue1Brown: https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw Beyond inspecting the source code myself, this channel
From playlist Cohomology
Differential Equations: First Order Linear Example 3
We present a solution to a first order linear differential equation.
From playlist First Order Linear Differential Equations