Curves and Regions on the Complex Plane (3 of 4: Simplifying expressions to plot on a complex plane)
More resources available at www.misterwootube.com
From playlist Complex Numbers
Free ebook http://tinyurl.com/EngMathYT How to integrate over 2 curves. This example discusses the additivity property of line integrals (sometimes called path integrals).
From playlist Engineering Mathematics
Surface with Square Cross Sections
Surface with square cross sections and modifiable base: https://www.geogebra.org/m/mcfmabak #GeoGebra #math #geometry #calculus #AugmentedReality
From playlist Calculus: Dynamic Interactives!
11_3_4 Working towards an equation for a tangent plane to a multivariable function
Further discussion on where a tangent plane to a curve exists and how to calculate it.
From playlist Advanced Calculus / Multivariable Calculus
11_6_1 Contours and Tangents to Contours Part 1
A contour is simply the intersection of the curve of a function and a plane or hyperplane at a specific level. The gradient of the original function is a vector perpendicular to the tangent of the contour at a point on the contour.
From playlist Advanced Calculus / Multivariable Calculus
Tangent to curve of vector function example
Free ebook http://tinyurl.com/EngMathYT A tutorial on how to calculate the (unit) tangent vector to a curve of a vector function of one variable.
From playlist Engineering Mathematics
3D Curves and their Tangents | Intro to Vector-Valued Functions
A space curve, or vector-valued function, is a function with a single input t and multiple outputs x(t), y(t), z(t). In this video we introduce these functions and see how to visualize them in 3D. We then turn to the problem of tangent lines to these types of curves. The definition is mode
Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning
Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an
From playlist Maths Topics
Parametrizing Curves in the Complex Plane 1
Complex Analysis: We give a recipe for parametrizing curves in the complex plane. Line segments are the focus of Part 1.
From playlist Complex Analysis
The (Coarse) Moduli Space of (Complex) Elliptic Curves | The Geometry of SL(2,Z), Section 1.3
We discuss complex elliptic curves, and describe their moduli space. Richard Borcherd's videos: Riemann-Roch Introduction: https://www.youtube.com/watch?v=uRfbnJ2a-Bs&ab_channel=RichardE.BORCHERDS Genus 1 Curves: https://www.youtube.com/watch?v=NDy4J_noKi8&ab_channel=RichardE.BORCHERDS
From playlist The Geometry of SL(2,Z)
Hierarchy Hyperbolic Spaces (Lecture – 01) by Jason Behrstock
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Elliptic Curves - Lecture 14b - Elliptic curves over the complex numbers
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
"From Diophantus to Bitcoin: Why Are Elliptic Curves Everywhere?" by Alvaro Lozano-Robledo
This talk was organized by the Number Theory Unit of the Center for Advanced Mathematical Sciences at the American University of Beirut, on November 1st, 2022. Abstract: Elliptic curves are ubiquitous in number theory, algebraic geometry, complex analysis, cryptography, physics, and beyo
From playlist Math Talks
Louis Funar : Automorphisms of curve and pants complexes in profinite content
Pants complexes of large surfaces were proved to be vigid by Margalit. We will consider convergence completions of curve and pants complexes and show that some weak four of rigidity holds for the latter. Some key tools come from the geometry of Deligne Mumford compactification of moduli sp
From playlist Topology
Part I: Complex Variables, Lec 5: Integrating Complex Functions
Part I: Complex Variables, Lecture 5: Integrating Complex Functions Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-008F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Calculus Revisited: Calculus of Complex Variables
Complex Analysis - Part 18 - Complex Contour Integral
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From playlist Complex Analysis
Mladen Bestvina: Hyperbolicity in mapping class groups and OutF
The lecture was held within the framework of Follow-up Workshop TP Rigidity. 30.4.2015
From playlist HIM Lectures 2015
Complex Analysis - Part 24 - Winding Number
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From playlist Complex Analysis
How long is a curve?? The Arclength Formula in 3D
What is the arclength of a vector-valued function or curve in 3D? In this video we break the length into a sum of little straight lines, we add up the lengths of the straight lines, take a limit and voila, we get an integral formula to compute arclength. We've previously studied arclengt