23 results.

Anna's copy of Maria's copy of Mario's copy of Interactive NewtonRaphson method
Write down the NewtonRaphson formula for finding a numerical solution to the equation $e^{mx}+bxa=0$. If $x_0=1$ find $x_1$.
Included in the Advice of this question are:
6 iterations of the method.
Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.
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Last modified 16/08/2019 15:12
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Finding bases for the null space and row space of a matrix
Given a matrix in row reduced form use this to find bases for the null, column and row spaces of the matrix.
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Last modified 16/05/2019 14:27
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Factorise numbers into products of prime powers
Factorising 5 to 7 digit numbers into a product of prime powers.
Uses the marking algorithms from question 1 of this CBA
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Last modified 16/05/2019 12:07
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Factorise four numbers
Pick four numbers from $1900\dots 2015$ and ask the student to factorise them.
Custom marking scripts make sure the student has entered a complete factorisation.
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Last modified 16/05/2019 12:06
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Duality of linear programming problems (2 variables)
Given a linear programming problem in standard form, write down the dual problem.
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Last modified 16/05/2019 12:03
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Classify singular points of a second order ODE
Trying out something: get the student to enter a set for each of "regular singular points" and "essential singular points".
Find and classify singular points of a secondorder ordinary differential equation. One equation is chosen from a selection of 10.
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Last modified 16/05/2019 11:58
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Probability sample mean is within d of the population mean
Given data on population mean and population standard deviation and three sampling sizes, calculate the probabilities that the sample means are within a specified distance from the population mean.
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Last modified 01/02/2019 17:46
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Probability  draw without replacement
A box contains $n$ balls, $m$ of these are red the rest white.
$r$ are drawn without replacement.
What is the probability that at least one of the $r$ is red?
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Last modified 24/01/2019 16:57
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Custom Marking version of Ex 6 Cofactors, Determinant and Inverse of a 3x3 matrix (CC)
Cofactors Determinant and inverse of a 3x3 matrix.
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Last modified 27/09/2018 17:08
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Laws of Indices [L6] Randomised
This question aims to test understanding and ability to use the laws of indices.
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Last modified 25/07/2018 10:28
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