Index

Working with MUMIE as author

Working with MUMIE as teacher

Using MUMIE via plugin in local LMS

Overview

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# Type of problem, question and answer

\type{...} can be set for the whole group of questions, but can also be set individually for each question and answer.
The position of the command determines how it works.

123456789101112\begin{problem}  \type{...} % set for all questions   \begin{question}    \type{...} % or set only for this question and all their answers     \begin{answer}      \type{...} % or set only for this answer    \end{answer}             \end{question}         \end{problem} 

## What type is applicable

Type Preview
input.number

more
input.finite-number-set

more
input.function
with the pre-given solution

more
input.interval

more
input.cases.function
Designed for case differentiations of e.g. absolute value functions.
Note that you can only use this input type in an answer environment.

more

input.matrix
If the solution to a question is a row vector, a column vector or a matrix,
the generic problem is of the type input.matrix.

more
input.text

input.truth-table

more
mc.matrix

mc.unique

more
mc.yesno

more
mc.multiple

more

Overview input field questions

# Number fields

All variables and functions are interpreted in a number field which can be defined by the \field{...} command. It can take one of the following values:

number field Description
real real numbers (i.e. double values); this is the default value if the \field{number field} command is omitted
integer integer numbers
rational rational numbers
complex complex numbers with real numbers as real and imaginary parts
complex-rational complex numbers with rational numbers as real and imaginary parts
123456789101112\begin{problem}  \field{...} % set for all questions   \begin{question}    \field{...} % or set only for this question and all their answers     \begin{answer}      \field{...} % or set only for this answer    \end{answer}             \end{question}         \end{problem} 

# Variables

Questions can become dynamic and personalised through the use of variables and functions. These must be defined
in a variables environment

The environment \begin{variables} ... \end{variables} can be set for the whole group of questions, but can also be
set individually for each question. The position of the command determines how it works.

12345678910111213141516\begin{problem}     \begin{variables} % set for all questions      ...    \end{variables}     \begin{question}      \begin{variables} % set only for this questions        ...      \end{variables}       \begin{answer}      \end{answer}               \end{question}         \end{problem} 

## Example

1234567891011\begin{question}   \begin{variables}       \number{a}{12}       \number{b}{4}       \number{c}{10}       \number{d}{5}       \function{f}{a/b}       \function{g}{c/d}   \end{variables}   ...\end{question} 

Will result in variables

• $$a=12$$,
• $$b=4$$,
• $$c=10$$,
• $$d=5$$ and
• functions $$f=\frac{12}{4}$$ and $$g=\frac{10}{5}$$

## Commands

Command Description Details
\number A fixed number variable, this can be any kind of number. The field command determines how the number will be interpreted.
\function A function definition, the definition may include variables and other functions.
When an included variable is not defined, it will be a free variable.
Again, the field command determines how the numbers within the function will be interpreted.
function
\derivative Creates a new function representing the derivative of the expression/variable that was passed into it. derivative
\substitute Creates a new function that is the composition of two other functions. substitute
\randint A random integer number, including zero (same as randint[z])
\randint[Z] A random integer number, excluding zero Random numbers
\randdouble A random double number, including zero Random numbers
\randrat A random rational number, including zero Random numbers
\drawFromSet Randomly draw a number (or string) from a set Random numbers
\randadjustIf Random variables can be adjusted to satisfy a specific constraint. randadjustIf

## Using Variables in text

All variables can be used in texts (e.g. question task, answer text) by using the tex command \var with the name of the variable as argument:

12345678910111213\begin{question}   \begin{variables}    \function{f}{a/3}  \end{variables}   \text{Determine the decimal expansion of $\var{f}$ correct to three decimal places.}   \begin{choice}    \text{$\var{solution1}$}  \end{choice} \end{question} 

## Random numbers

Random numbers can be used instead of fixed numbers to personalize problem data.

Example

123456789\begin{question}   \begin{variables}      \randint[Z]{x1}{-10}{10}  %\randint[Z]{name}{min}{max}      \randdouble{x2}{0}{1}      \randrat{name}{minNumerator}{maxNumerator}{minDenominator}{maxDenominator}  \end{variables} \end{question} 

\drawFromSet Draw randomly a number (or string) from a set

• parameters \drawFromSet[options]{name}{set}
• numbers in the set can be integer, rational or double numbers
• separator in the set can be any (non white space) character, default separator is the comma
• type is either number or string, default type is number
• multiple options are separated by a space (see example below)
12345678910\begin{question}   \begin{variables}      \drawFromSet{a}{1,2,3,4,5,6}      \drawFromSet{b}{1/2,5,1.3,9/11,42}      \drawFromSet[separator=;]{c}{1;2.1;3.5;9}      \drawFromSet[separator=; type=string]{d}{hello;world}  \end{variables} \end{question} 

## Variable pools

Instead of using random values for numbers it is possible to define several sets of values inside a so called variable pool.

• A pool consists of several variables environments holding each the elements for a single set of variables.
12345678910111213141516171819\begin{question}   \begin{pool}    \begin{variables}      \randint{a}{1}{3}      \drawFromSet{b}{1,2,3}      \randadjustIf{a,b}{a = b}      \function[calculate]{f}{2*a+b}    \end{variables}         \begin{variables}      \randint{a}{-3}{-1}      \drawFromSet{b}{-1,-2,-3}      \randadjustIf{a,b}{a = b}      \function[calculate]{f}{2*a-b}    \end{variables}      \end{pool} \end{question} 
• A single set will be chosen randomly for every homework problem. The following example shows a pool with two sets of variables:
1234567891011121314151617\begin{question}   \begin{pool}       \begin{variables}          \number{a}{7}          \number{b}{3}      \end{variables}       \begin{variables}          \number{a}{5}          \number{b}{6}      \end{variables}   \end{pool} \end{question} 
Variable pools can only be used inside a question. There are no global variable pools at the moment.

# Explanations

With \explanation the author can define a feedback that the user gets if an answer wasn't (completely) correct. Usage: \explanation[optional condition]{text}.

More details