## Week 2

You are advised to to spend seven hours per week on MATH7019. This should comprise of however long is recommended to watch the lectures, and then the rest of time should be spent doing exercises, emailing questions, and submitting work. At the time of writing, tutorials consist of you emailing questions and getting feedback on submitted work, but this is subject to change.

### Lecture

Schedule about three hours to watch these 126 minutes of lectures. I recommend about 50% extra time as you will want to pause/rewind.

Here are Chapter 1 slides if you have not purchased or printed off the manual.

### Exercises

You need to schedule about four hours to work on this week’s exercises.

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. I am not sure exactly what will happen with these questions while I am on paternity leave… hopefully someone will take these questions for you.

• p.34, Q. 1-4
• p.37, Autumn 2015

• p.22, show that $\displaystyle \frac{\partial^2S}{\partial a^2}$ and $\displaystyle \frac{\partial^2S}{\partial b^2}$ are both positive.
• p.26, repeat the page 22 analysis for $Z=aX+bY+c$:

$\displaystyle S(a,b,c)=\sum_{i=1}^N(Z_i-aX_i-bY_i-c)^2$

Partially differentiate this with respect to $a$, $b$, $c$, solve equal to zero, to find the equations in the middle of p.26.

You can (carefully) take photos of your work and submit to the Week 2 Exercises those images on Canvas before midnight Sunday 4 October. The intention would be that after 09:00 Monday 5 October someone (I am going on two weeks paternity leave at some stage) will download all student work and reply with feedback.

If possible, submit the images as a single pdf file. To do this, select all the images in a folder, right-click and press print. It will say something like How do you want to print your pictures? Press (Microsoft?) Print to PDF. If possible choose an orientation that has all the images in portrait.

## Week 3

We will start looking at non-linear models.