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Now showing items 21-27 of 27

#### MathsCasts: Gaussian Elimination: No Solutions

(Swinburne Commons, 2011)

An example that works through the process of Gaussian elimination for a system with three equations in three unknowns where are no solutions.

#### MathsCasts: Second Order DEs: Example 2

(Swinburne Commons, 2011)

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

#### MathsCasts: Integrating Rational Functions Part 1

(Swinburne Commons, 2013)

This recording demonstrates how to integrate rational functions where the numerator is a constant and the denominator is a linear function. Integration by substitution is used.

#### MathsCasts: Transposition with Required Variable in the Denominator

(Swinburne Commons, 2013)

In this recording we look at how to rearrange a formula where the letter that we want to make the subject is in the denominator. That is, we look how to make f the subject when presented with an expression of the form a/b ...

#### MathsCasts: Integrating Rational Functions Part 2

(Swinburne Commons, 2013)

This recording demonstrates how to integrate rational functions where the numerator is a constant and the denominator is an irreducible quadratic function. We complete the square on the denominator, then we integrate by ...

#### MathsCasts: The Quadratic Formula: Three Examples

(Swinburne Commons, 2012)

This recording demonstrates use of the quadratic formula in relation to three examples: one with 2 distinct solutions, one with a repeated solution and one with no real solutions. The discriminant function is introduced ...

#### MathsCasts: Simplifying Expressions Using Logarithm Laws

(Swinburne Commons, 2012)

Three basic laws of logarithms are introduced and two examples then demonstrate how these laws can be used to simply logarithmic expressions.