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 ...

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 ...

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

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

The video shows a simplification of a vector triple product.

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.

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.

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

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

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