I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.

## Week 11

In Week 11 about the applications of integration to volume & work as well as to the mean & root-mean-square values of a function. Essentially these are four formulae:

Volume of Revolution $\displaystyle =V=\int_a^b\pi [f(x)]^2\,dx$ (in tables)

Work $\displaystyle =W=\int_{a}^b F(x)\,dx$ (in tables)

Mean Value of a Function $\displaystyle =\overline{f(x)}=\frac{1}{b-a}\int_a^bf(x)\,dx$ (not in tables nor exam paper*)

Root-Mean-Square Value of a Function $\displaystyle =f_{\text{rms}}=\sqrt{\frac{1}{b-a}\int_a^b[f(x)]^2\,dx}$ (not in tables nor exam paper*)

*I will get onto you very soon about this — they might be put on the exam paper.

## Week 12

In Week 12 we will talk about differential equations. Most of next year’s maths will be taken up studying these ubiquitous engineering maths equations.

As of this moment there will be NO class on Friday 6 December. There is a small chance that I will make myself available at this time… ye will get an email about this before Tuesday.

## Week 13: Review Week

I will be available to any and all students (Groups A & B) at the following (usual) times and (usual) venues:

• Review Lecture Monday 16:00 B263
• Review Lecture Tuesday 09:00 B149
• Review Tutorial Tuesday 17:00 B165
• Review Lecture Thursday 11:00 B188
• Review Tutorial Friday 09:00 B188

The Review Lectures will be conducted as follows (from Monday 9 December)

1. Students can ask any question and I will answer it on the whiteboard. If we run out of questions
2. I will start going through the Autumn 2013 paper (which was given out in Thursday 28 December Lecture). If we finish this paper
3. I will help ye one to one.

The Review Tutorials will be conducted as follows

1. Students can ask any question and I will answer it on the whiteboard. If we run out of questions
2. I will help ye one to one

## Additional Notes

Find a possibly useful reference here.