Use integration to find the centroid of an area bounded by a parabola, a sloping line, and the y-axis.  

Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

Integrate the product of two functions by the method of integration by parts.

Differentiate the function $f(x)=(a + b x)^m  e ^ {n x}$ using the product rule. Find $g(x)$ such that $f^{\prime}(x)= (a + b x)^{m-1}  e ^ {n x}g(x)$.

More work on differentiation with trigonometric functions

More work on differentiation with trigonometric functions

Differentiation of trigonometric functions

Multiple choice question. Given a randomised polynomial select the possible ways of writing the domain of the function.

Matrix multiplication. Contains a function that will let you print the calculation steps of matrix multiplication, e.g. in the Advice.

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Obosolete: there's now a built-in function sort_by.

Defines a custom function sort_by to sort a list of lists by the elements at the given index.

You could do a similar thing to sort lists of dictionaries.

Should not be used: there's now a built-in function frequencies.

This question randomly generates a list of 100 items, each chosen from a list of strings.

It then computes the number of occurrences of each distinct item in the list. The statement shows the frequencies in a table.

This question uses the vis.js library to plot 3D functions and data sets.

As well as JME functions to make plots, you can use javascript functions to get more control over how the plots are rendered.

Shows how to use the JME function lpad to add zeros to the beginning of a number so it's always displayed using two digits.

Demo showing how to write a custom function in javascript.

Call a custom function from another javascript custom function by using scope.evaluate

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Demo question showing how to use the matrix maths functions in JavaScript.

This shows how to implement a recursive function in JavaScript with a nested function definition.

Ask for the squares of five randomly-chosen numbers between 0 and 15.

The shuffle function puts a list in random order.

This question shows how to use the currency function to display amounts of currency with the correct symbols.

This question shows how to display a number like "1234" as "1,234", or "1 234", using the formatNumber function.

A method of randomly choosing variable names - use the expression() JME function to create a variable name from a randomly chosen string.

(This question also uses a custom marking script to check that the student has simplified the expression)

Simple probability question. Counting number of occurrences of an event in a sample space with given size and finding the probability of the event.

More work on differentiation with trigonometric functions