Browsing by Author "Guerin, A. (Aoife)"
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MathsCasts: Absolute Value: Example 1 Inequality
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (Swinburne Commons, 2012)Worked example of solving an absolute value inequality statement and solutions checked.

MathsCasts: Absolute Value: Example 3 Inequality
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (Swinburne Commons, 2012)This video explains how to verify the distributive property of the dot product.

MathsCasts: Quadratic Inequalities: Example 2
Guerin, A. (Aoife) (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
Guerin, A. (Aoife) (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 ...