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 jippo@campus.ie and I will add you to the mailing list.

## This Week

We introduced step and impulse functions to model loads on a beam and we wrote down the equations relating the loading, the shearing force, the bending moment and the deflection. Relevant notes p.23 to p.43.

In the tutorial we worked on the exercises on second order linear differential equations in these notes.

## Next Week

We have a tutorial on Tuesday. In this we will try to shore up the second order differential equations and the second order differential equations involving step and impulse functions. Remember the integration of impulse and step functions is given by (where each of the arrows indicate an integration)

$\delta(x-a)\rightarrow H(x-a)\rightarrow [x-a]\rightarrow\frac{[x-a]^2}{2}$, and then

$\int [x-a]^n\,dx=\frac{[x-a]^{n+1}}{n+1}$.

Also each integration generates an addition constant $C_1,\,C_2,\dots$.

In next weeks lectures we will continue our work on the beam equations.

## Test Date

I still can’t give you a definite-definite I’m afraid but it will certainly either be on

[Week 6] Thursday 8 March at 8.15 p.m.

OR

[Week 7] Tuesday 13 March at 6.45 p.m.

The status quo is that it will be held in Week 6 but it is more likely to be held in Week 7. It all depends on the:

### Timetable Changes

The HoD has told me that he hasn’t sent you an email regarding a switching around of some of your classes. At the moment the situation is that we (MATH7019) have

Week 5: Tutorial & Lecture

Week 6: Tutorial & Lecture

Week 7: – & Lecture

Week 8: Tutorial & Lecture

Week 9: – & Lecture

Week 10: Tutorial & Lecture

Week 11: – & Lecture

Week 12: Tutorial & Lecture

However the proposed change is that we have

Week 5: Tutorial & Lecture

Week 6: – & Tutorial

Week 7: Lecture/Test & –

Week 8: Tutorial & Lecture

Week 9: Lecture & Lecture

Week 10: Tutorial & Lecture

Week 11: – & Lecture

Week 12: Tutorial & Lecture