85 lines
1.9 KiB
Typst
85 lines
1.9 KiB
Typst
#import "@local/exam:0.2.0": exam, exercise, exercise-items, mtext, horiz-only
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// General configuration
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#show: exam.with(
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title: "Exam",
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course-title: [Abstract Binary Computation & Elegant Finite Graphs],
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// Top left header
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institution: [Super University],
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// Top right header
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course-short-title: "ABC & EFG",
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date: "1. January 1970",
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// Exam details, appears below the title
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course-code: "π",
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duration-minutes: "90",
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// Configure personal information fields
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ask-trainer-name: false,
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ask-group: true,
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ask-student-number: false,
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// Configure language, either "de" or "en"
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language: "en",
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// custom instructions
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// instructions: none,
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// change font-size
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// font-size: 12pt,
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// custom paper size
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// paper-size: "a4",
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// custom numbering of exercises
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// exercise-numbering: "1",
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)
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// First exercise
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#exercise("Relations and their properties", 2)
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Consider the relation $R subset NN^2$, defined as follows:
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$ (x, y) in R #h(0.5cm) <==> #h(0.5cm) x + y #mtext[is odd]. $
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Is $R$ reflexive? transitive? symmetric? antisymmetric?
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// Second exercise
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#exercise("Properties of functions", 3)
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Let $f : (0, +infinity) → (0, +infinity)$ with $f (x) = e^(-x)$.
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// Several sub-questions
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#exercise-items((
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(1, [Is $f$ injective?]), // The first argument is the number
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// of points the item is worth
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(1, [Is $f$ surjective?]),
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(2, [Is $f$ bijective?]),
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))
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// Third exercise
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#exercise("Logical operators", 3.14)
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Consider the following truthtable:
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#align(center, table(
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stroke: horiz-only(0.5pt),
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columns: (auto, auto, auto),
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align: center,
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[$A$], [$B$], [$A or B$],
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[1], [1], [1],
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[1], [0], [1],
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[0], [1], [1],
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[0], [0], [1],
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))
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// More sub-questions
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// override-points to false, so that the exercise total points are not recomputed.
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#exercise-items(override-points: false, numbering: "i)", (
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(1, [Is the truthtable correct?]),
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(1, [If not, fix it.]),
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))
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