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Now showing items 1-10 of 27

#### 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: 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: 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: 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: 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: Second Order DEs: Example 3

(Swinburne Commons, 2011)

Example of solving a second-order linear ordinary differential equation with constant coefficients in the case where the auxiliary equation has complex conjugate roots and the right hand side of the equation is an exponential ...