## Browsing by Author "Guerin, A. (Aoife)"

Now showing items 1-20 of 35

• #### MathsCasts: Absolute Value: Example 1 Inequality ﻿

(Swinburne Commons, 2012)
Definition of absolute value using simple examples. Worked example of solving an equation consisting of an absolute value symbol and checking solutions.

• #### MathsCasts: Absolute Value: Example 2 Inequality ﻿

(Swinburne Commons, 2012)
Worked example of solving an absolute value inequality statement and solutions checked.

• #### MathsCasts: Absolute Value: Example 3 Inequality ﻿

(Swinburne Commons, 2012)
Solving an inequality statement containing an absolute value symbol by isolating the absolute value term at one side of the inequality and solutions checked.

• #### MathsCasts: Absolute Value: Example 4 Inequality ﻿

(Swinburne Commons, 2012)
Worked example of solving an inequality containing two absolute value symbols, solutions checked and graph of absolute values also shown to illustrate solution set.

• #### MathsCasts: Adding and Subtracting Vectors Algebraically ﻿

(Swinburne Commons, 2012)
Worked examples of adding and subtracting vectors algebraically in terms of i and j and also using the result of the proof of vector ab = vector b - vector a.

• #### MathsCasts: Applications of Vectors Part 1 ﻿

(Swinburne Commons, 2012)
Worked example shows how to apply knowledge of vectors to determine the work done in pulling a cart a certain distance.

• #### MathsCasts: Applications of Vectors Part 2 ﻿

(Swinburne Commons, 2012)
Worked example shows how to apply knowledge of vectors to determine the true course of a boat travelling across a river.

• #### MathsCasts: Combined Inequalities: Introduction and Example 1 ﻿

(Swinburne Commons, 2012)
Introduction to combined inequalities. Example of forming a combined inequality from a given word statement and worked example of solving a combined inequality consisting of the word 'or' and solutions checked.

• #### MathsCasts: Combined Inequalities: Introduction and Example 2 ﻿

(Swinburne Commons, 2012)
Worked example of forming and solving a combined inequality statement from a given word statement. Term 'conjunction' explained and solutions checked.

• #### MathsCasts: Combined Inequalities: Introduction and Example 3 ﻿

(Swinburne Commons, 2012)
Forming a combined inequality from a given word problem to estimate the distance between two homes, given the distance from both homes to Dublin Airport.

• #### MathsCasts: Combined Inequalities: Introduction and Example 4 ﻿

(Swinburne Commons, 2012)
This video describes forming a combined inequality statement from a given word statement using symbols instead of the words 'or' or 'and' and solving this combined inequality. Solutions also checked.

• #### MathsCasts: Components of a Vector Part 1 ﻿

(Swinburne Commons, 2012)
This video contains an explanation of how to resolve a vector into its horizontal and vertical components.

• #### MathsCasts: Components of a Vector Part 2 ﻿

(Swinburne Commons, 2012)
Worked example of finding the magnitude of the horizontal and vertical component of a soccer balls velocity.

• #### MathsCasts: Multiplying a Vector by a Scalar ﻿

(Swinburne Commons, 2012)
Simple examples showing the geometric and algebraic effect on magnitude and direction of vectors when multiplying vectors by positive and negative scalars.

• #### MathsCasts: Negative Vector and Single Letter (Position) Vectors ﻿

(Swinburne Commons, 2012)
Defines negative vector and shows why vector ba is equal to vector -ab. Defines position vector and states that a vector which starts at the origin can be expressed in terms of its end point only, i.e.as a single letter vector.

• #### MathsCasts: Proof: The Vector ab is Equal to the Vector b Minus the Vector a ﻿

(Swinburne Commons, 2012)
The video demonstrates proof of vector ab = vector b minus vector a explained.

• #### MathsCasts: Properties of the Dot Product of Vectors: Part 1 ﻿

(Swinburne Commons, 2012)
This video demonstrates proof of some basic properties of the dot product.(i) Dot product of perpendicular vectors,(ii) Dot product of parallel vectors, (iii) Dot product of a vector with itself, and (iv) Commutative ...

• #### MathsCasts: Properties of the Dot Product of Vectors: Part 2 ﻿

(Swinburne Commons, 2012)
This video explains how to verify the distributive property of the dot product.

• #### MathsCasts: Quadratic Inequalities: Example 2 ﻿

(Swinburne Commons, 2012)
This video demonstrates a worked example of solving an inequality statement with a denominator, and also gives an explanation of why to multiply both sides of inequality by denominator squared given.

• #### MathsCasts: Quadratic Inequalities: Introduction and Example 1 ﻿

(Swinburne Commons, 2012)
General form of a quadratic inequality outlined,some examples of where quadratic inequalities arise in real life mentioned. Worked example of forming and solving a quadratic inequality in order to determine the range of ...