Mathematical expressions with LaTeX in Matplotlib - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to display a simple LaTeX expression on a plot.

Matplotlib

import matplotlib.pyplot as plt
plt.text(0.5, 0.5, r'$[1]$', fontsize=20, ha='center')
plt.axis('off')
plt.show()

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A\alpha + beta = \gamma

Balpha + beta = gamma

Calpha + \beta = gamma

D\alpha + \beta = \gamma

Attempts:

3 left

💡 Hint

Common Mistakes

Forgetting the backslash before Greek letters.

Not using raw string notation r'' causing escape errors.

Omitting the $ signs around the LaTeX expression.

The LaTeX expression must use backslash commands for Greek letters inside the math mode delimiters $...$.

2fill in blank

medium

Complete the code to plot the quadratic formula using LaTeX in the title.

Matplotlib

import matplotlib.pyplot as plt
plt.plot([1, 2, 3], [1, 4, 9])
plt.title(r'Quadratic formula: $x = \frac[1]{{2a}}$')
plt.show()

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A-b \pm \sqrt{b^2 + 4ac}

Bb \pm \sqrt{b^2 - 4ac}

C-b \pm \sqrt{b^2 - 4ac}

Db \pm \sqrt{b^2 + 4ac}

Attempts:

3 left

💡 Hint

Common Mistakes

Using plus instead of minus before b.

Using plus instead of minus inside the square root.

Forgetting \pm symbol.

The quadratic formula numerator is '-b ± sqrt(b^2 - 4ac)'.

3fill in blank

hard

Fix the error in the LaTeX expression to correctly display the integral in the plot label.

Matplotlib

import matplotlib.pyplot as plt
plt.plot([0, 1], [0, 1])
plt.xlabel(r'Integral: $\int_0^1 f(x) dx = [1]$')
plt.show()

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A\frac{1}{2}

B1/2

C\frac12

D\int_0^1 f(x) dx

Attempts:

3 left

💡 Hint

Common Mistakes

Writing fractions without \frac{}{} syntax.

Repeating the integral expression instead of the result.

Using incomplete fraction commands like \frac12.

The integral from 0 to 1 of f(x) dx equals 1/2, written as \frac{1}{2} in LaTeX.

4fill in blank

hard

Fill both blanks to create a LaTeX expression for the sum of squares in the plot text.

Matplotlib

import matplotlib.pyplot as plt
plt.text(0.5, 0.5, r'Sum: $\sum_[1]=1}^n [2]^2$', fontsize=18, ha='center')
plt.axis('off')
plt.show()

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Ai

Bj

Ck

Dn

Attempts:

3 left

💡 Hint

Common Mistakes

Using different variables for the index and the squared term.

Using n as the index variable instead of the upper limit.

Choosing uncommon index letters like k or j.

The sum index is usually i, and the expression sums i squared from 1 to n.

5fill in blank

hard

Fill all three blanks to create a LaTeX expression for the binomial coefficient in the plot title.

Matplotlib

import matplotlib.pyplot as plt
plt.title(r'Binomial coefficient: $\binom[1][2] = \frac[3]!}}{{k! (n-k)!}}$')
plt.show()

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An

Bk

Attempts:

3 left

💡 Hint

Common Mistakes

Swapping n and k in the binomial coefficient.

Using k! in numerator instead of n!.

Forgetting to match the factorial variable with the binomial coefficient top.

The binomial coefficient is \binom{n}{k} = \frac{n!}{k! (n-k)!}.