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.

## Test 1

The first 15% test will take place at 5 pm Thursday 24 October in B228 (Week 6). You can find a sample here. I will give ye a copy of this sample on Monday. It is a test that could arguably take 40 minutes but I’ll give ye from 17:05 — 18:00. You will be given a copy of these tables. Don’t worry I’ll scribble out the “UCC”!

Note that the format will be the same of the sample:

1. Maclaurin Series OR Taylor Series (Taylor Series formula given)
2. Error Analysis
3. Taylor Series of Several Variables (formula given)
4. Euler\Three Term Taylor Method (Three Term Taylor Formula given)
5. Homogenous Second Order Ordinary Linear Differential Equations

## Course Notes

At the moment they look like this.

## Week 4

In Week 4 we looked at the Euler and Three Term Taylor Method for finding approximate solutions to first order ordinary differential equations. We started our work on homogenous second order ordinary linear differential equations.

## Week 5

In Week 5 we will continue our study of second order ordinary linear differential equations.

I would urge anyone having any problems with material that isn’t being addressed in the tutorials to use the Academic Learning Centre. As you can see the timetable is quite generous. You will get best results if you come to the helpers there with specific questions. You could also win a tablet device if you enter a competition that they are running.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly. For example this question asking can Euler’s Method ever be exact?

## Maple & Wolfram Alpha

If you are subscribed to CIT MathsOnline you will have free access to the mathematical software package Maple:

Self-enrolment for Maths Online

2.           Click on the Courses tab button at the top of the screen. Go to Course Search and type Maths Online in the box.

3.           Once you’ve found the course, click on the action link button next to the course and click on Enrol. This should take you to the Self Enrolment page.

4.           Your Access Code is mathsonline (lower case, no spaces).

5.           After you’ve finished click Submit. You should now see a message that says your enrolment was successful.

Once you’ve enrolled, you can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item.

I myself am not a Maple expert but ‘grew up’ with another mathematical software package MathematicaMathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!

## Calculators

Please note the following taken from the CIT code of conduct for CIT examination candidates:

Where a pocket calculator is used it must be silent, self-powered and non-programmable.

It may not be passed from one candidate to another. Instructions for its use may not be
brought into the Examination Hall.
The term ‘programmable’ includes any calculator that is capable of storing a sequence of
keystrokes that can be retrieved after the calculator is turned off or powers itself off. Note that the
capacity to recall, edit and replay previously executed calculations does not render a calculator
programmable, provided that this replay memory is automatically cleared when the calculator is
powered off. Also, the facility to store numbers in one or more memory locations does not render
a calculator programmable.
Calculators with any of the following mathematical features are prohibited:
• Graph plotting
• Equation solving
• Symbolic algebraic manipulation
• Numerical integration
• Numerical differentiation
• Matrix calculations
Calculators with any of the following features are prohibited
• Data Banks
• Dictionaries
• Language translators
• Text retrieval
• Capability of remote communication