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Topic 32: Generating Gaussian Samples (PETARS, Chapter 5)

In this video, the probability transformation rule is used to show that the Box-Muller transformation can convert two uniform random variables into two independent Gaussian random variables.…

From  James Hopgood on October 2nd, 2020 0 likes 92 plays 0  

Topic 31: Probability Transformation Rule for Random Vectors (PETARS, Chapter 5)

This video extends the probability transformation rule from the scalar case to the vector case for vector functions of random vectors. The video discusses how the Jacobian determinant needs to be…

From  James Hopgood on September 27th, 2020 0 likes 104 plays 0  

Lecture 6 Part 1: Applications of Differential Equations - undamped oscillators

Here we look at how the the same (or a very similar) differential equation applies to several different engineering problems. We consider cantilevers, pendulums and a floating buoy.

From  David Ingram on July 10th, 2020 0 likes 272 plays 0  

Lecture 5 Part 3: Oscillators

Here we look at some more general oscillators and their phase portraits and consider how plotting vector plots can be useful for understanding autonomous systems.

From  David Ingram on July 10th, 2020 0 likes 293 plays 0  

Lecture 4 Part 4: Methods for real engineering problems

In the last part of the lecture we look at real numerical methods that can be used for real engineering problems. Looking briefly at Runge-Kutta methods and an application modelling methane-air…

From  David Ingram on July 6th, 2020 0 likes 11 plays 0  

Lecture 3 Part 3: But there's no solution...

What happens when the method in the first part of the lecture fails. We look at why and find a way of dealing with the problem.

From  David Ingram on July 6th, 2020 0 likes 5 plays 0  

Lecture 3 Part 1: Solution of inhomogeneous, linear, differential equations.

In this lecture we extend the ideas in lecture 2 to allow us to solve inhomogeneous equations.

From  David Ingram on July 6th, 2020 0 likes 9 plays 0  

Representing Music with Fourier Coefficients

Representing Music with Fourier Coefficients

From  Nigel Goddard on September 17th, 2016 1 likes 1,990 plays 0