Keep in mind at all times:

“Any and all work, submitted at any time, will receive feedback.”

“Do not hesitate to contact me with questions at any time. My usual modus operandi is to answer all queries in the morning but sometimes I may respond sooner.”

## Week 11

### 20% VBA Assessment Based on Lab 6

Thank you to everyone for completing the assignment.

### Catch Up/Revision

You are advised to catch-up on the learning described in Week 9.

If you have already conducted this learning, and submitted a Lab 7 either back before 30 March, or after, I will invite you, if necessary, to take on board the feedback I gave to that submission, and resubmit a corrected version for further feedback. If you feel like doing even more theory work on top of this, you will be asked to consider looking at the theory exercises described in Week 9.

Students can submit work — VBA or Theory, catch-up or revision — based on Week 9 to the Lab 7 VBA/Theory Catch-up/Revision I assignment on Canvas (by Sunday 19 April), or Lab 7 VBA/Theory Catch-up/Revision II assignment by Saturday 25 April.

## Week 12/13

### Catch Up/Revision

If you have not yet done so, you will undertake the learning described in Week 10.

If you feel like doing even more theory work on top of this, you will be asked to consider looking at the theory exercises described in Week 10.

If you have already conducted this learning, and submitted a Lab 8 either back before 6 April, or after, I will invite you, if necessary, to take on board the feedback I gave to that submission, and resubmit a corrected version for further feedback.

Students will be able submit work — VBA or Theory, catch-up or revision — based on Week 10 to a Lab 8 VBA/Theory Catch-up/Revision assignment on Canvas.

I may have two due dates. Perhaps Sunday 3 May and Saturday 9 May.

## PROVISIONAL: Tuesday 12 May, Week 14: Assessment Based on Lab 8

This assessment will ask you to do the following:

Consider: $\displaystyle k\cdot \frac{\partial^2 T}{\partial x^2}=\frac{\partial T}{\partial t}$      (1)

For one (i.e. $x_1$ or $x_2$ or $x_3$) or all (i.e. general $x_i$), use equations (2) and (3) to write (1) in the form: $T^{\ell+1}_i=f(T_j^\ell),$

i.e. find the temperature at node $i$ at time $\ell+1\equiv(\ell+1)\cdot \Delta t$ in terms of the temperatures at the previous time $\ell\equiv \ell\cdot \Delta t$. You may take $\Delta t=0.5$. \begin{aligned} \left.\frac{dy}{dx}\right|_{x_i}&\approx \frac{y(x_{i+1})-y(x_i)}{\Delta x}\qquad(2) \\ \left.\frac{d^2y}{dx^2}\right|_{x_i}&\approx \frac{y(x_{i+1})-2y(x_i)+y(x_{i-1})}{(\Delta x)^2}\qquad(3) \end{aligned}