Lecturer: Vince Knight

Office: M1.30

email: knightva@cf.ac.uk

chat: https://gitter.im/computing-for-mathematics/Lobby

Office hours: Thursday 1400-1600

What you have learnt this week:

Using Sympy to carry out calculations relevant to Calculus: limits, derivatives, integrals and plotting.


Python has various libraries that comes as standard (import math, import random etc). With Anaconda, there are a number of other scientific libraries readily available to you (import sympy, import numpy etc…).

There are however a huge number of libraries that are not included with Anaconda but that are readily available to you (this is one of the strengths of Python).

To install them you can write a simple command at the command line of your computer:

  • On Mac OSX: look for “terminal”;
  • On Windows: look for “command prompt”.

Once there simply type:

pip install <package-name>

Note that if you’re on a university computer you need to type:

pip install --user <package-name>

For example, if you wanted to study queues, you could use a package called ciw which is actually written by a Cardiff University PhD student (Geraint Palmer). To install this you’d run:

pip install ciw

To use it you’d take a look at the documentation which is here: ciw.readthedocs.org/.

There are numerous libraries that exist in Python, depending on what you’re working on they might be helpful.

Referencing in LaTeX

As you will have noticed in the instructions your individual coursework has the following statement in it:

You are submitting work this way as “Turnitin” is a product purchased by the University which checks for plagiarism.

Plagiarism is a serious offense and comes under Cardiff University’s unfair practice regulations: www.cardiff.ac.uk/public-information/policies-and-procedures/academic-regulations

Here is some guidance on avoiding plagiarism: intranet.cardiff.ac.uk/students/your-study/exams-and-assessment/sitting-your-exam/cheating-and-unfair-practice/plagiarism

To put this simply: make sure you reference work that is not original work being done for the purposes of this assessment.

To reference an article here is the corresponding bibtex code:

  title={An Open Framework for the Reproducible Study of the Iterated Prisoner’s Dilemma},
  author={Knight, Vincent and Campbell, Owen and Harper, Marc and Langner, Karol and Campbell, James and Campbell, Thomas and Carney, Alex and Chorley, Martin and Davidson-Pilon, Cameron and Glass, Kristian and others},
  journal={Journal of Open Research Software},
  publisher={Ubiquity Press}

Here is one way of referencing a website:

  title = {The ONS: employement rate},
  howpublished = {\url{https://www.ons.gov.uk/employmentandlabourmarket/peopleinwork/employmentandemployeetypes/timeseries/lf24/lms}},
  note = {Accessed: 2016-11-16}

Note: to use \url you need to include \usepackage{hyperref} in your preamble.

Floating figures

We can include figures and tables in LaTeX using:



Figures and Tables move in LaTeX, ie if we put them in some specific place in the code they potentially do not appear there in the pdf. This is called floating.

In general ‘trust’ LaTeX to put them in the correct place and refer to figure and tables using \ref and \label.

LaTeX places these things in such a way as to format documents in an esthetically pleasing way. You can pass certain options to LaTeX to get it to ignore certain constraints:

  • h indicates that it can place the float inline;
  • t indicates that it can place the float in the top area;
  • b indicates that it can place the float in the bottom area;
  • p indicates that it can place the float on a float page or column area;
  • ! indicates that further constraints can be ignored.

In practice this means, use:


Take a look at this writeLaTeX http://goo.gl/k83ZHi template to play around with this.