## Search

Now showing items 21-30 of 133

#### 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 ...

#### MathsCasts: Gaussian Elimination

(Swinburne Commons, 2011)

Demonstration of the principle of solving a system of linear equations using Gaussian Elimination, with reference to a specific example with 3 equations and 3 unknowns where there is a unique solution.

#### MathsCasts: Karnaugh Maps in 3 Variables

(Swinburne Commons, 2011)

Example of simplifying a Boolean expression by using a 3-variable Karnaugh map.

#### MathsCasts: Directional Derivatives

(Swinburne Commons, 2011)

An example where the gradient of a surface is found depending on the angle alpha, and then the maximum gradient is calculated.

#### MathsCasts: Simplifying Algebraic Fractions with Cancellation Part 1

(Swinburne Commons, 2013)

We look at how to simplify algebraic fractions when there is a number and/ or power of a letter that is common to all terms on the numerator and denominator, thus allowing us to simplify the original fraction by cancelling ...

#### MathsCasts: Vector Addition Including a Boat Example

(Swinburne Commons, 2012)

Introduction to "head to tail" vector addition in the geometric sense. This is then applied to an example of working out a boat's velocity relative to land given the velocity of the current and the velocity of the boat ...

#### MathsCasts: Vector Subtraction Including Boat Example

(Swinburne Commons, 2012)

Introduction to 'head to tail' vector subtraction in the geometric sense. This is then applied to an example of working out a boat's velocity relative to water given the velocity of the current and the velocity of the boat ...

#### MathsCasts: Inverse Functions: Example 2

(Swinburne Commons, 2012)

Gives the definition and conditions for the inverse of a function to exist, and then applies this to an example where the original function is not one-to-one and where the domain of f(x) hence needs to be restricted in ...