## Week 3

We then did some further study on the Euler Method. The global error with the Euler Method is $\mathcal{O}(h)$ and we need to reduce this by coming up with a better method or adjusting the Euler Method.

We looked at the Three Term Taylor Method as a better method. To employ the Three Term Taylor Method we need implicit differentiation, which means more pen-and-paper work.

We also looked at calculating a Maclaurin Series

In VBA we finished off the Euler Method Lab 2. Ideally everyone should have done up to p.125 (note in questions 2 and 3 that $u$ should be $0.2$.

Some students did or started Exercise 1 and/or Exercise 2 on p. 126.

## MCQ League

Unless you are excelling, you are identified by the last five digits of your student number.

Please ask questions in the lab about questions you have gotten wrong. Students in red appear to not have a good handle on the material and should consider putting in extra time outside class in doing exercises (in the manuals).

Little change at the top since Week 2:

## Week 4

We can avoid implicit differentiation by looking at Huen’s Method, which is an adjustment of Euler’s Method in that it uses lines.

We will also introduce second order differential equations and how to attack them numerically.

In VBA we have MCQ III and look at Lab 3, on Heun’s Method.

## Week 8

Unfortunately for us, St Patrick’s Day falls on a Tuesday.

I am unable to let these hours go: I will once again pre-record two video lectures, and the labs are postponed to Thursday 19 March:

For DME2A, who normally have their lab 15:00-17:00 on Tuesdays, will, this week only, have their lab:
• Thursday 15:00-17:00 in A214

For DME2B, who normally have their lab 10:00-12:00 on Tuesdays, will, this week only, have their lab:
• Thursday 11:00-13:00 in A269
DME2C will have their lab Friday morning as usual.
All students should watch the pre-recorded Week 8 lectures before their lab.

## Assessment

The following is a proposed assessment schedule. Please contact me if there are any problems with the Week 7 and 12 times.

1. Week 6, 20% First VBA Assessment, Based (roughly) on Weeks 1-4
2. Week 7, 20 % In-Class Written Test, Based (roughly) on Weeks 1-5. Melbourn Hall, Tuesday 10 March, 09:30-10:30
3. Week 11, 20% Second VBA Assessment, Based (roughly) on Weeks 6-9
4. Week 12, 40% Written Assessment(s), Based on Weeks 1-11. Melbourn Hall, Tuesday 28 April, 15:00-17:00

## Study

Study should consist of

• doing exercises from the notes
• completing VBA exercises

## Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc..