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.

## Course Notes

Last week they looked like this.

## Week 3

In Week 3 we looked at Error Analysis and two-variable Taylor Series. We also began our study of differential equations.

## Week 4

In Week 4 we will continue our study of ordinary first order differential equations and develop numerical techniques (the Euler and Three Term Taylor Methods) for approximating solutions to ODEs that we can’t solve exactly.

## Test 1

Test 1 will be on the Thursday of Week 6. Expect a sample in Week 5.

## Tutorials

Ted should has a division of the class such that one group this week is Thursday 15:00 while the other is 16:00. Both groups in B228.

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage — especially those of us who struggled in the test.

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.

## 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!

## 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 discussing the fact that the only functions which satisfy $f'(x)=f(x)$ are constant multiples of $e^{x}$.

## 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