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Now showing items 11-20 of 133

#### MathsCasts: Parallel Planes

(Swinburne Commons, 2012)

Explains how the equations of two parallel planes are related - then solves a problem where a plane parallel to a given plane, passing through a point, is to be found.

#### MathsCasts: Solving Equations of Form det(A-lambda_I)=0

(Swinburne Commons, 2012)

An example is given of solving an equation of the form det(A-lambda*I)=0, where in this case A is a 2x2 matrix, I is the unit matrix and lambda is the scalar that we solve for.

#### MathsCasts: Projectiles: Velocity and Position

(Swinburne Commons, 2012)

This screencast gives an example of a projectile in 2D space where gravity is the only force acting. Vector methods are hence used to find the velocity and position vector of the projectile, given that its initial velocity ...

#### MathsCasts: Linear Differential Equations

(Swinburne Commons, 2011)

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

#### MathsCasts: Boolean Algebra: Example 1

(Swinburne Commons, 2011)

An example of using the laws of Boolean Algebra to simplify a Boolean expression, including use of De Morgan's laws.

#### MathsCasts: Equation of a Plane Given a Point and a Line on the Plane

(Swinburne Commons, 2011)

Given a point and a line on a plane, we find the equation of the plane.A second point on the plane is identified, and hence a vector on the plane. A normal vector to the plane is calculated using the vector product.The ...

#### MathsCasts: Stationary Point of Surface

(Swinburne Commons, 2011)

This screencast demonstrates the application of partial derivatives to finding and classifying stationary points of a 3-dimensional surface, with reference to a specific example.

#### MathsCasts: Karnaugh Maps for Two Variables

(Swinburne Commons, 2011)

In this screencast we look at how to set up a 2-variable Karnaugh map, followed by an example of simplifying a particular Boolean expression and simplifying its negation, using a 2-variable Karnaugh map.

#### MathsCasts: Sketching 3D Surfaces: Example 1

(Swinburne Commons, 2011)

This screencast gives an example of sketching vertical and horizontal cross-sections of a surface and hence producing a final sketch of the resulting 3D surface (which is an elliptical hyperboloid of two sheets)

#### MathsCasts: Minimal Spanning Trees

(Swinburne Commons, 2011)

This screencast demonstrates how the Economy Rule can be used to obtain a mininal spanning tree with application to a specific example of a cost minimisation problem for connecting four cities at minimum cost.