# Good Afternoon Everyone!

## <span style="color:indigo"> MSc Induction 2020/21 </span>

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Communicating mathematics via **Mark Down** on *HackMD*

$$x^2 + y^3 = z^4$$

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### Write your name here in your favourite colour

<span style="color:darkgreen"> </span>

<span style="color:orange"> Chris Budd </span>
<span style="color:purple"> Sam Newcome </span>
<span style="color:red"> Nat Holt </span>
<span style="color:turquoise"> David Foster </span>
<span style="color:green"> Vinay Longia </span>
<span style="color:blue"> Xiao Zheng </span>
<span style="color:green"> Lee Callow-Evans </span>

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# Modelling COVID-19 issues

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### Project One


### <span style="color:red">What is the best size $N$ for a lecture? </span>.

<span style="color:blue"> **HINT** </span> Think carefully about how an infection might spread in a well mixed room. Then think about what happens if the room is not well mixed.

**Thoughts?**

* Age
* Sex
* Room size
* Ventillation & Airflow/draft
* Distancing of desks
* Location in the Country
* Arrangement of desks
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* PPE
* Anything else?

How does infection rate depend on class size?

* exponentially

* size of the room
* number of students infected

How does it depend on $N$?

Proportional to $N$, or $e^N$ or somethng else?

Well mixed crowd it is more like to be $N^2$

Class of 40 or two classes of 20?
2

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### Project Two


### <span style="color:red" > What is the best length for a lecture? Is it better to have one 2 hour lecture or two 1 hour lectures? </span>

**HINT** You will need to think about how infection spreads in a room

**Thoughts**

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