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.

Repeat Students — particularly EXAM ONLY

There have been some changes made to MATH7019

– Second Order Linear Ordinary Differential Equations have been moved to MATH7021 and are no longer studied in MATH7019

 – The chapter on Curve Fitting from MATH7021 has been introduced into MATH7019 however forward difference methods have been dropped altogether. The correlation coefficient has been added to this chapter. This material is being done first and will be completed by or in Week 3.

 – Cantilevers have been added to the section on beam equations

 – Regarding the chapter on Further Calculus, reviews of calculus topics have been spread out throughout the module

 – No change to the chapter on Statistics

To find out the exact syllabus please consult the module descriptor.  


The manuals are not yet completed as far as I know. They will be priced at around €14 and will be available in the Reprographic Centre.

Week 1

In week one we spoke in general terms about curve fitting. We introduced Lagrange Interpolation and started talking about Least Squares curve fitting.

Week 2

In Week 2 we will finish talking about Least Squares Curve Fitting.


Tutorials start properly next week. Friday at 10 am in B240.

Quick Test: Academic Learning Centre

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.

When I get the Quick Tests corrected I will be advising some of ye to go to the ALC for specific help.

Assessment 1

Assessment 1 will have a hand-in date of October 17. Expect to see the assignment late in Week 2 or early in Week 3.


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.

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 about why we do least squares.

Maple Online & 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

1.           Log into Blackboard Learn

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!

Additional Notes: E-Books

If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘glyn advanced modern engineering math’ you will see that the library have an E-Book resource.


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