Recurrence relations | Calculus | Dynamical systems

Time-scale calculus

In mathematics, time-scale calculus is a unification of the theory of difference equations with that of differential equations, unifying integral and differential calculus with the calculus of finite differences, offering a formalism for studying hybrid systems. It has applications in any field that requires simultaneous modelling of discrete and continuous data. It gives a new definition of a derivative such that if one differentiates a function defined on the real numbers then the definition is equivalent to standard differentiation, but if one uses a function defined on the integers then it is equivalent to the forward difference operator. (Wikipedia).

Time-scale calculus
Video thumbnail

2_1 Sequences

Convergence and sequences.

From playlist Advanced Calculus / Multivariable Calculus

Video thumbnail

3_1 Introduction to Series

Introductory talk on series. Defining a series as a sequence of partial sums.

From playlist Advanced Calculus / Multivariable Calculus

Video thumbnail

Infinite Limits With Equal Exponents (Calculus)

#Calculus #Math #Engineering #tiktok #NicholasGKK #shorts

From playlist Calculus

Video thumbnail

Calculus: Absolute Maximum and Minimum Values

In this video, we discuss how to find the absolute maximum and minimum values of a function on a closed interval.

From playlist Calculus

Video thumbnail

2_2 Sequences

Convergences of sequences.

From playlist Advanced Calculus / Multivariable Calculus

Video thumbnail

3_1_1 Introduction to Series

Example and looking ahead at methods of calculating convergence.

From playlist Advanced Calculus / Multivariable Calculus

Video thumbnail

Time Series

New TimeSeries functions are covered by Mathematica Kernel Developer Oleksandr Pavlyk in this presentation. For more training resources, please visit: http://www.wolfram.com/Training/

From playlist New in Mathematica 10

Video thumbnail

4 Calculating some interesting limits

Now that we have got the ball rolling, let's do some examples.

From playlist Life Science Math: Limits in calculus

Video thumbnail

Dynamic equations on time scales

An introductory presentation on dynamic equations on time scales and uniqueness of solutions including new research resutls. The basic ideas of time scale calculus are presented and then a new theorem is discussed under which general initial value problems have, at most, one solution. T

From playlist Mathematical analysis and applications

Video thumbnail

Integrating scaled version of function | AP Calculus AB | Khan Academy

Sal uses a graph to explain why we can take a constant out of a definite integral. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/properties-of-definite-integrals-1?utm_source=YT&utm_medium=Desc&utm_campaign=APC

From playlist Integration and accumulation of change | AP Calculus BC | Khan Academy

Video thumbnail

The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem - Karen Uhlenbeck

Members' Seminar Topic: The Palais-Smale Theorem and the Solution of Hilbert’s 23 Problem Speaker: Karen Uhlenbeck Affiliation: The University of Texas at Austin; Distinguished Visiting Professor, School of Mathematics Date: April 6, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

"Magnetic Edge and Semiclassical Eigenvalue Asymptotics" by Dr. Ayman Kachmar

What will be the energy levels of an electron moving in a magnetic field? In a typical setting, these are eigenvalues of a special magnetic Laplace operator involving the semiclassical parameter (a very small parameter compared to the sample’s scale), and the foregoing question becomes on

From playlist CAMS Colloquia

Video thumbnail

Change of Variables & The Jacobian | Multi-variable Integration

You've reached the end of Multi-variable Calculus! In this video we generalized the good old "u-subs" of first year calculus to multivariable case with a multivariable change of variables. The trick is to set up a new coordinate system where the messy region before is now very nice, perhap

From playlist Calculus III: Multivariable Calculus (Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization, etc) **Full Course **

Video thumbnail

Stanford CS229: Machine Learning | Summer 2019 | Lecture 2 - Matrix Calculus and Probability Theory

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3ndQbPu Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html

From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)

Video thumbnail

How math predicts life on Earth and the universe beyond | Michio Kaku, Michelle Thaller & more

How math predicts life on Earth and the universe beyond Watch the newest video from Big Think: https://bigth.ink/NewVideo Learn skills from the world's top minds at Big Think Edge: https://bigth.ink/Edge ---------------------------------------------------------------------------------- Th

From playlist Michelle Thaller | Big Think

Video thumbnail

Why don't they teach Newton's calculus of 'What comes next?'

Another long one. Obviously not for the faint of heart :) Anyway, this one is about the beautiful discrete counterpart of calculus, the calculus of sequences or the calculus of differences. Pretty much like in Alice's Wonderland things are strangely familiar and yet very different in this

From playlist Recent videos

Video thumbnail

Rod Gover - An introduction to conformal geometry and tractor calculus (Part 3)

After recalling some features (and the value of) the invariant « Ricci calculus » of pseudo­‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal covariance is visited and some covariant/invariant equations from physics are recovered in

From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

Video thumbnail

Time Series Analysis In R | Data Science With R Tutorial

This video talks about, how to use the R statistical software to carry out some simple analyses that are common in analysing time series data. This video tells you how to carry out these analyses using R, rather explaining time series analysis. Here are some important things to know about

From playlist 🔥Data Science | Data Science Full Course | Data Science For Beginners | Data Science Projects | Updated Data Science Playlist 2023 | Simplilearn

Related pages

Analysis on fractals | Differential equation | Lebesgue measure | Z-transform | Method of averaging | Stochastic differential equation | Riemann–Stieltjes integral | Differential calculus | Continuous function | Kronecker delta | Hybrid system | Banach space | Fractional calculus | Laplace transform | Mathematics | Set (mathematics) | Function (mathematics) | Integer | Real number | Quantum calculus | Calculus | Integral equation | Multiple-scale analysis | Measure (mathematics) | Summation equation | Cantor set | Partial differential equation | Krylov–Bogoliubov averaging method