Writing a really exciting $\LaTeX$ document

This worksheet is really simple, just recreate what you see, but in a $\LaTeX$ document.

1: Listing things

Okay, lets start with a list of my favourite things:

  • Raindrops on roses
  • Whiskers on kittens
  • Bright copper kettles
  • Warm woolen mittens
  • Brown paper packages tied up with string

How to make scones:

  1. Heat the oven to 220C/425F/Gas 7. Lightly grease a baking sheet.
    1. Mix together the flour & salt and rub in the butter.
    2. Stir in the sugar & then the milk to get a soft dough.
  3. Turn on to a floured work surface and knead very lightly. Pat out to a round 2cm/(3/4)in thick. Use a 5cm/2in cutter to stamp out rounds and place on a baking sheet. Lightly knead together the rest of the dough and stamp out more scones to use it all up.
  4. Brush the tops of the scones with the beaten egg. Bake for 12-15 minutes until well risen and golden.
  5. Cool on a wire rack and serve with butter and good jam and maybe some clotted cream.

Notice the boldface and italics, as well as the special symbol &!

Solution

2: Writing Maths

Rewrite all of these, hopefully familiar equations in $\LaTeX$.

A Quadratic equation: $ ax^2 + bx + c = 0 $.

The quadratic formula: $$ x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}. $$

A matrix equation $$ \begin{pmatrix} a & \log{b}\\ c & d \end{pmatrix} \begin{pmatrix} x\\ y \end{pmatrix} =\begin{pmatrix} 0\\ 0 \end{pmatrix} $$

can be rewritten as a system of linear equations $$ \begin{align} ax + \log{(b)}y &= 0\\ cx + dy &= 0. \end{align} $$

The Riemann zeta function $$ \zeta(s) = \sum_{n=1}^\infty \frac{1}{n^s} $$

can be rewritten as $$ \zeta(s) = \frac{1}{\Gamma(s)} \int_0^\infty \frac{x^{s-1}}{e^x - 1}\ dx, $$ where $$ \Gamma(s) = \int_0^\infty e^{-x}x^{s-1}\ dx. $$

Solution

3: Time for a table

A timetable!

Time Activity Energy Levels
0730 Get Up 15%
0745 Eat Breakfast 100%
0815 Go to Office 80%
0900 Do Research 20%
1230 Have Lunch 100%
1330 More Research 0%
1730 Go Home -10%
2000 Make Tea 50%
2330 Sleep 40%

The $\LaTeX$ table will probably look different, but should contain the same information.

Solution

4: Ooh, what a picture!

A picture of Donald Knuth, creator of $\TeX$, playing the organ. https://cs.stanford.edu/~knuth/dek-badge-20120614.jpg Add a caption explaining who took the picture, and where it came from!

Hint:

https://cs.stanford.edu/~knuth

Solution