EXAMPLE123

Example Courseware Material

Study Guide

Topic 5 Mathematics

MySCU | learn.scu.edu.auscu.edu.au/teachinglearning

Mathematical equations can be elegantly included in content using a range of markup languages, including LaTeX and MML.

Using the MathJax javascript library, these equations can be typeset to a high standard and incorporate useful functionality, such as zoom and language translation.

This page includes a few examples which are embedded using LaTeX mathematics markup, which is efficient and powerful.

\[\sum\limits_{i = 1}^n (X_i - \bar X)^{-2} \]
(77)
View the underlying LaTeX markup.

Equations can be presented as blocks (as above), or inline with text, for example, consider the sum \(\sum {} \) of variables \(x\) and \(y\), then add \(3\), or perhaps \(432\) would be superior.

More examples

Here some more examples. Online users can right-click on the equations to access various options including zoom triggers and translation.

Matrix

\[\left( {\begin{array}{*{20}{c}} {{a_{11}}}&{{a_{12}}}&{{a_{13}}}\\ {{a_{21}}}&{{a_{22}}}&{{a_{23}}}\\ {{a_{31}}}&{{a_{32}}}&{{a_{33}}} \end{array}} \right)\]

Quadratic formula

\[\frac{{ - b \pm \sqrt {{b^2} - 4ac} }}{{2a}}\]

Where:

\[\begin{align}{c} a & = {\textrm{a value}}\\ b & = {\textrm{another value}}\\ c & = {\textrm{a third value}} \end{align}\]

Others

\[{{{\partial ^2}\Omega } \over {\partial u\partial v}}\]
\[ \lim_{x\to 0}{\frac{e^x-1}{2x}} \overset{\left[\frac{0}{0}\right]}{\underset{\mathrm{H}}{=}} \lim_{x\to 0}{\frac{e^x}{2}}={\frac{1}{2}} \] (999)

Activity

Learn HTML syntax for writing equations in LaTex!