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#### MathsCasts: Velocity and Acceleration Given Position Vector

(Swinburne Commons, 2012)

This recording shows how velocity and acceleration of a particle travelling through 3D space are calculated given we have a general vector expression for the position vector at time t - this is then illustrated with a ...

#### MathsCasts: Sketching 3D Curves

(Swinburne Commons, 2012)

Shows how to sketch a 3D curves which is given in vector form on 2D paper. The curve is rewritten in scalar parametric form, values for the parameter t are selected, and points on the curve calculated. These are then plotted ...

#### MathsCasts: Solving Quadratic Equations: Part 2

(Swinburne Commons, 2012)

Example of how to use the Guide Number method to solve a quadratic equation.

#### 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: Taylor Series: Logarithmic Functions

(Swinburne Commons, 2012)

This video demonstrates calculating the Taylor series for the natural logarithmic function about the point x = 1.

#### MathsCasts: Linear Differential Equations

(Swinburne Commons, 2011)

This screencast demonstrates how to solve a first-order linear differential equation by using an integrating factor.