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Now showing items 1-8 of 8

#### MathsCasts: The Exponential of a 2X2 Matrix Using Laplace Transforms: An Unusual Method

(Swinburne Commons, 2014)

We show an unusual approach to finding the exponential of a 2x2 matrix - using the Laplace transform.

#### MathsCasts: The Vector Triple Product

(Swinburne Commons, 2013)

The video shows a simplification of a vector triple product.

#### MathsCasts: The Vector (Cross) Product of Two Vectors: Part 2

(Swinburne Commons, 2013)

The definition of the vector product is used to identify the cross products of the various basis vectors i, j and k with each-other, in preparation for unravelling a component form for the vector product.

#### MathsCasts: The Vector (Cross) Product of Two Vectors: Part 3

(Swinburne Commons, 2013)

This video explains how cross products between the basis vectors i,j and k identified in part 2 are used to obtain an expression in components for the vector product of any pair of vectors.

#### MathsCasts: The Vector (Cross) Product of Two Vectors: Part 1

(Swinburne Commons, 2013)

In this video the definition of the vector product is explained with reasons for making such a definition.

#### MathsCasts: The Curl of the Curl

(Swinburne Commons, 2013)

We derive a formula to simplify the process of taking the curl of the curl of a vector field. The algebra is rather complicated!

#### MathsCasts: Inverse Laplace Transform Part 1

(Swinburne Commons, 2013)

Full title: Inverse Laplace transforms with (s^2 + a^2)^2 in the denominator and numerator linear or quadratic in s - Part 1 (MathsCasts). We use the result for inverse Laplace transform of a derivative to find the inverse ...

#### MathsCasts: Finding the Grade of a Simple Scalar Function f(x,y,z)

(Swinburne Commons, 2013)

We choose a simple scalar function f(x,y,z) and calculate its gradient.