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Now showing items 1-10 of 44

#### 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.

#### MathsCasts: Negating and Simplifying Switching Circuits

(Swinburne Commons, 2011)

Given a diagram of a particular switching circuit, we start by identifying a Boolean function to represent it. We then find the negation of the switching circuit and finally, the simplest possible expression for it using ...

#### MathsCasts: Karnaugh Maps and How to Identify Squares

(Swinburne Commons, 2011)

In this recording, we look at how to identify '8-squares', '4-squares', '2-squares' and '1-squares' in a 4-variable Karnaugh map, with reference to the different ways each of these type of groupings can appear and how to ...

#### MathsCasts: Boolean Algebra: Example 2

(Swinburne Commons, 2011)

Example of simplifying a Boolean expression using Boolean Algebra, with particular emphasis on using the rule (p+q)(p+r)=p+qr to help simplify an expression that otherwise would have involved extensive and time-consuming ...