## Quiz 6 Results

Below find the results.  Your best eight quizzes go to the 20% mark for quizzes. The R % column is your running percentage (for best eight quizzes). The QPP is your Quiz Percentage Points (a max of 19.5 at the moment). MPP is your Maple percentage points. GPP is your gross percentage points.

 S/N Q1 Q2 Q3 Q4 Q5 Q6 R% QPP MPP GPP/19.5 1298 0.6 0.8 1.6 47.3 7.1 3 10.1 2327 2.5 1.9 1.4 74.8 11.2 4.5 15.72 2073 2.5 2.5 2.5 89.9 13.5 4.5 17.99 8332 0.6 1.9 2.5 73.9 11.1 4.5 15.59 9464 1.8 2.1 2.5 90.5 13.6 4.5 18.07 4402 0 0 0 0 0 0 0 3872 1.2 0 1.4 35.7 5.36 4.5 9.86 1480 1.5 2.5 2.3 89.1 13.4 4.5 17.87 2237 0 1.2 1.4 35.3 5.29 4.5 9.79 2070 2.3 2.5 2.5 66 9.9 4.5 14.4 3481 1.5 2.4 2.3 61.7 9.25 4.5 13.75 3703 1.4 2.3 2.5 73.1 11 4.5 15.46 7879 2.2 1.5 2.4 64.8 9.72 4.5 14.22 2257 1.2 1.6 1.8 49.8 7.47 4.5 11.97 8425 1 1.8 2.4 48.2 7.23 4.5 11.73 9896 0 0 0 13.1 1.97 0 1.97 8212 2.5 2.5 2.5 96.3 14.4 4.5 18.94 1486 0 2.5 0 47.6 7.14 1.5 8.64 5484 1 1.9 2.5 85.5 12.8 4.5 17.33 1321 1.02 1.2 1.9 44.9 6.73 4.5 11.23 2128 2.5 2.3 1.5 74.8 11.2 4.5 15.72 2942 1.8 1.8 2.5 75 11.3 4.5 15.75 6645 2.5 2.5 2.5 97.8 14.7 4.5 19.17 8426 0 1.2 2.5 56.3 8.44 3 11.44 2092 0.2 0 1.6 12 1.8 3 4.8 8354 0.2 1.7 1.9 29.4 4.41 4.5 8.91

## Maple Lab

The Maple Lab takes place in C128.

The following is the proposed schedule for Weeks 9, 11, 12:

Group 1 – Starts at 18:00 and Finishes at 20:50:

Wednesdays 18:00-19:05 – Maple Lab in room C128

Wednesdays 19:15-19:30 – Weekly Quiz in C212

Wednesdays 19:30-20.50 – Theory class in room C128

Group 2 – Starts at 19:15 and Finishes at 22:00:

Wednesdays 19:15-19:30 – Weekly Quiz in C128

Wednesdays 19:30-20:50 – Theory class in room C212

Wednesdays 20.55-22:00 – Maple Lab in room C128

In weeks where there is no Maple Lab, the quiz will take place from 19:00-19:15 sharp.

## Quiz 7

Quiz 7 will contain two questions — a main question and a bonus question.

The main question will be harder than the bonus question:

$\mathcal{L}\{t\}$ or $\mathcal{L}\{3t\}$.

The main question will be worth 2.5%.

If the main question is too difficult you can instead do the bonus question which is worth 1.5%. The bonus question will be

$\mathcal{L}\{1\}$ or some other constant, $\mathcal{L}\{k\}$ (e.g. $\mathcal{L}\{12\}$.

Both the main question and the bonus question will be marked and your highest score will count (so you can’t do the bonus question and a bit of the main question and add the marks).

If you learn off a solution and you skip steps I will heavily punish you. This question is worth 2.5% (if you do the main question) but worth a lot more in the final exam. There is no point learning off a solution, getting the 2.5% now and not getting the 6.3% available in the exam for this question. Try and be able to think your way through the question… something like this:

OK, I need to use the formula to find the Laplace Transform from first principles… formula… it’s on the paper:

$\displaystyle \int_0^\infty f(t)e^{-st}\,dt.$

Right… to calculate infinite integrals I integrate up to a large number $R$

$\displaystyle\int_0^Rf(t)e^{-st}\,dt$

To calculate integrals I need to anti-differentiate:

$\displaystyle\int f(t)e^{-st}\,dt$

Is this direct from the tables? Does it need a manipulation? U-substitution? Integration by parts? If I find

$\displaystyle\int f(t)e^{-st}\,dt=\phi(t,s)$

[the anti-derivative depends on $t$ and $s$]

I can find the integral by doing top limit minus bottom limit:

$\displaystyle\int_0^Rf(t)e^{-st}dt=\phi(R,s)-\phi(0,s)$.

Finally I need to take the limit as $R\rightarrow \infty$:

$\displaystyle\mathcal{L}\{f(t)\}=\lim_{R\rightarrow \infty}\left(\phi(R,s)-\phi(0,s)\right)=F(s)$.

Quiz 6 runs from 19:15 to 19:30 sharp on Wednesday 29 March.

## Week 8

We looked at Laplace Transforms — calculating from first principles and also using the table.

## Week 9

We will continue working on Laplace Transforms and hopefully start talking about the inverse Laplace Transform.

## Plan: Catch-up

We are going to get to Easter and then see how we are getting on. The following is a proposal that includes no catch up.

• Week 9: Maple Lab 4 & Section 3.4
• Week 10: Section 3.4
• ————-EASTER————–
• Week 11: Maple Lab 5 & Section 3.4
• Week 12: Maple Test & Section 3.5
• ————-END OF LECTURES———-
• Week 13: Review Class — Summer 2015 Paper

## Maple Catch Up

If you want to do Maple catch up (if you miss a lab) you have two options:

• download the Maple file from your email, do the exercises in Maple (either in a new worksheet or on top of the original file with the exercises), save the worksheet and email me the worksheet you were working on.
• come in for a double Maple session on a ‘Maple’ night.