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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: Partial Fractions: Example 3

(Swinburne Commons, 2012)

An example of calculating partial fractions when one of the factors on the denominator is an irreducible quadratic factor.

#### MathsCasts: The Quadratic Formula: Three Examples

(Swinburne Commons, 2012)

This recording demonstrates use of the quadratic formula in relation to three examples: one with 2 distinct solutions, one with a repeated solution and one with no real solutions. The discriminant function is introduced ...

#### MathsCasts: Simplifying Expressions Using Logarithm Laws

(Swinburne Commons, 2012)

Three basic laws of logarithms are introduced and two examples then demonstrate how these laws can be used to simply logarithmic expressions.