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**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.**

## Manuals

The manuals are available in the Copy Centre (at a cost of €14) and are required for Monday’s lecture.

## Test 1

The 15% Test 1 will be held in the Melbourne Hall, 16:00 Monday 14 October, Week 6. Ye all have lectures at 15:00 but I will request from your lecturers that ye be left go on time. There is a sample test in the notes.

## Telegram App

If this is something you might be interested in, please download the Telegram app and set yourself up with an @ handle.

## Diagnostic Test

If you haven’t already, you are invited to take the following ‘Diagnostic Test’:

* click here*

This ‘Test’ does not go towards your grade, but allows me to give you some feedback on where you are in terms of material you have seen before that will be used in this module.

## Academic Learning Centre

If you are a little worried about your maths this semester, perhaps after the Quick Test or in general, I would just like to remind you about the Academic Learning Centre. Most students received slips detailing areas of maths that they should brush up on. The timetable is here.

## Week 2

We continued working with the dot product and then introduced the cross product.

## Week 3

We will look at the applications of vectors to work and moments. We might begin Chapter 2: Matrices.

**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.**

## Diagnostic Test

If you haven’t already, you are invited to take the following ‘Diagnostic Test’:

* click here*

This ‘Test’ does not go towards your grade, but allows me to give you some feedback on where you are in terms of material you have seen before that will be used in this module.

## Telegram App

I am exploring the possibility of setting up a classroom group chat that would have the functionality of WhatsApp without having your phone number made public.

If this is something you might be interested in, please download the Telegram app and set yourself up with an @ handle.

We might talk about this again next week.

## Manuals

The manuals are available in the Copy Centre (at a cost of €14) and should be purchased as soon as possible.

## Tutorials — Subject to Change — Keep an Eye on Your Timetable

Tutorial for BioEng2A: Wednesdays at 10:00 in **B149**

Tutorial for BioEng2B: Mondays at 17:00 in B189 (starts this Monday 16 September)

Tutorial for SET2: Mondays at 9:00 in **B180 **(starts Monday 23 September)

## Week 1

We began our study of Chapter 2, Vector Algebra. We looked at how to both visualise vectors and describe them algebraically. We learned how to find the magnitude and direction of a vector.

## Week 2

We will continue working with the vectors and hopefully learn how to add them and scalar multiply them, about displacement vectors, the vector product known as the dot product and perhaps then introduce the cross product.

## Test 1

The test will probably be the Monday of Week 5. Official notice will be given in Week 3. There is a sample test in the notes.

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

## Student Resources

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

## Mathematics Exam Advice

- The first piece of advice is to read questions carefully. Don’t glance at a question and go off writing: take a moment to understand what you have been asked to do.
- Don’t use tippex; instead draw a simple line(s) through work that you think is incorrect.
- For equations, check your solution by substituting your solution into the original equation. If your answer is wrong and you know it is wrong: write that on your script.

If you do have time at the end of the exam, go through each of your answers and ask yourself:

- have I answered the question that
__was asked__? - does my answer make sense?
- check your answer (e.g. differentiate/antidifferentiate an antiderivative/derivative, substitute your solution into equations, check your answer against a rough estimate, or what a picture is telling you, etc)

## Test 2

Test 2, worth 15% and based on Chapter 3, will now take place Week 12, 30 April. There is a sample test [to give an indication of length and layout only] in the notes (marking scheme) and the test will be based on Chapter 3 only.

More Q. 1s (on the test) can be found on p.112; more Q. 2s on p. 117; more Q. 3s on p.125 and p.172, Q.1; more Q. 4s on p.136, and more Q. 5s on p. 143.

Chapter 3 Summary p. 144.

Please feel free to ask me questions via email or even better on this webpage.

## Homework

Once you are prepared for Test 2 you can start looking at Chapter 4:

- Revision of Integration, p.161.
- p.167, Q. 1-5
- p.182

## Week 11

We had some tutorial time from 18:00-19:00 for further differentiation (i.e. for Test 2, after Easter).

We completed our review of antidifferentiation before starting Chapter 4 proper.

We looked at Integration by Parts and centroids.

For those who could not make it here is some video and slides from what we did after the video died.

## Week 12

We will have some tutorial time from 18:00-19:00 for further differentiation.

We will have Test 2 from 19:00-20:05.

Then we will look at completing the square, centres of gravity, and work.

## Week 13

We will look the Winter 2018 paper at the back of your manual.

## CIT Mathematics Exam Papers

These are not always found in your programme selection — most of the time you will have to look here.

## Student Resources

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

## Test 2

Test 2, worth 15% and based on Chapter 3, will now take place Week 12, 30 April. There is a sample test in the notes and the test will be based on Chapter 3 only.

## Homework Exercises

If you do any of the suggested exercises you can give them to me for correction. Please feel free to ask me questions about the exercises via email or even better on this webpage.

I recommend strongly that everyone completes P.102, Q.1.

After that you can look at:

- P.136, Q.1-3
- P. 143, Q. 1-4
- P. 125, Q. 1-4, P.172, Q.1
- P. 117, Q. 1-4
- P.112, Q. 1-5
- Sample Test 2, P.145

If you want to do more again, look at P.113, Q.6-9, P. 118, Q. 5-6, P. 125, Q.5. There is a Weekly Summary for the Chapter 3 Material on P.144.

If you read on there is some information below about solutions to these exercises.

## Week 10

For those who were able to make it we had some tutorial time from 18:00-19:00 for parametric, implicit, and related rates differentiation. If you are really interested in understanding how does a curve have an equation, see here.

In class we looked at partial differentiation and error analysis. For those who could not make it, here is video of the partial differentiation material and here are the slides from the error analysis (the video died shortly after we started error analysis).

We only started a revision of Antidifferentiation to start Chapter 4 on (Further) Integration. I have this section completed here.

## Week 11

We will have some tutorial time from 18:00-19:00 for further differentiation (i.e. for Test 2, after Easter).

We are under pressure for time but I have made the decision that we will be better off completing our review of antidifferentiation before starting Chapter 4 proper. This might put us under time pressure later on but I believe it is the correct thing to do.

We will look at Integration by Parts, completing the square, and work.

## Week 8

We finished looking at Related Rates and then looked at Implicit Differentiation. Video here.

## Week 9

I cried off with illness. I’m on some medication and so hope to feel better by the weekend so next Tuesday should be grand.

I think it will be very difficult for us to catch up this missed class. We could come in during Easter but the Doodle poll suggests that this will not be possible.

What I am suggesting instead is that I make up these three hours by having three hours of tutorial time over Weeks 10-12. I will do this by being in B188 from 18:00 rather than 19:00 and using 18:00-19:00 as tutorial time. If you cannot make this time so be it (although if you can get in at 18:15, 18:30 or even 18:45 please do so).

We are also going to have our review class in Week 13.

This means we will not have Test 2 until AFTER Easter.

## Wednesday 20 March 2019, Week 8

As mentioned in previous weeks, I need to postpone the lecture of Tuesday 19 March, Week 8.

This will now take place the next night, Wednesday 20 March 2019.

Two students have indicated that they cannot attend this class: I will record as much of the class as possible but my camcorder usually doesn’t have the battery nor memory to record all 2.5 hours… but I’ll do my best.

## Outlook

As mentioned briefly in Week 6, for *most *students, Chapters 1 and 2 are easier and you will want to do well on them. Things are going to get a little harder for the rest of the semester and you will want to try and do homework (see below) regularly.

## Week 7

We did a quick revision of differentiation before looking at Parametric Differentiation and starting to look at Related Rates.

If you want to look back here are two videos:

We mentioned briefly the Reuleaux Triangle and it’s use in the “Harry Watt Square Drill Bit”. See here for an animation of how this works.

## Week 8

We will finish looking at Related Rates and then look at Implicit Differentiation.

## Homework Exercises

If you do any of the suggested exercises you can give them to me for correction. Please feel free to ask me questions about the exercises via email or even better on this webpage.

I recommend strongly that everyone completes P.102, Q.1.

After that you can look at:

- P.102, Q. 2
- P.112, Q. 1-5

If you want to do more again, look at P.113, Q.6-9

## Test 2

Test 2, worth 15% and based on Chapter 3, will probably take place Week 11, 9 April. It might have to be pushed out to after Easter if we don’t make good progress on Chapter 3.

## Test 1 Results

…and marking scheme have been emailed to you.

## CIT Mathematics Exam Papers

These are not always found in your programme selection — most of the time you will have to look here.

## Student Resources

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

## Tuesday 19 March 2019, Week 8

As mentioned in previous weeks, I need to postpone the lecture of 19 March, Week 8.

This will now take place the next night, Wednesday 20 March 2019.

Two students have indicated that they cannot attend this class: I will record as much of the class as possible but my camcorder usually doesn’t have the battery nor memory to record all 2.5 hours… but I’ll do my best.

## Outlook

As mentioned briefly in Week 6, for *most *students, Chapters 1 and 2 are easier and you will want to do well on them. Things are going to get a little harder for the rest of the semester and you will want to try and do homework (see below) regularly.

## Week 6

We finished Chapter 2 by looking at Cramer’s Rule and then we did a Concept MCQ followed by tutorial time.

A video of a Cramer’s Rule Example

## Week 7

We will do a quick revision of differentiation. We will then look at Parametric Differentiation and Related Rates.

If you want to look ahead here are two videos:

## Homework Exercises

If you do any of the suggested exercises you can give them to me for correction. Please feel free to ask me questions about the exercises via email or even better on this webpage. Here are good exercises for Matrices. Feel free to try questions in the exercises that are not listed here (p.66, p.73, p.84, or are in exam papers, see below):

- P.63, Q.1-4
- p.79, Q.1-2
- p.95, Q.3-5

## Test 2

Test 2, worth 15% and based on Chapter 3, will probably take place Week 11, 9 April. It might have to be pushed out to after Easter if we don’t make good progress on Chapter 3.

## Test 1 Results

…and marking scheme have been emailed to you.

## CIT Mathematics Exam Papers

These are not always found in your programme selection — most of the time you will have to look here.

## Student Resources

## Tuesday 19 March 2019, Week 8

As mentioned in previous weeks, I need to postpone the lecture of 19 March, Week 8.

Three possibilities to catch up are:

- the next night, Wednesday 20 March 2019
- the Tuesday before Easter, Tuesday 16 April 2019
- the Wednesday after Easter, Wednesday 24 April 2019

Please fill in this Doodle poll by selecting all the days that you *can *attend.

Hopefully we can find a day that suits everyone but if people cannot make a day that is otherwise popular I will record the lecture.

## Test 1 – Results

I hope to have these out to you within 24 hours.

## Test 2

Test 2, worth 15% and based on Chapter 3, will probably take place Week 11, 9 April (or possibly Week 12, 30 April if we don’t go for a class Wednesday 20 March).

## Week 5

We had our test and then we talked about linear systems, and determinants.

We had no tutorial time.

## Week 6

We will finish Chapter 2 by looking at Cramer’s Rule. When we finish talking about Cramer’s Rule we will do a quick revision of differentiation, hopefully including some tutorial time.

## CIT Mathematics Exam Papers

## Student Resources

## Test 1

Test 1, worth 15%, takes place from 19:00 to 20:05 sharp, Tuesday 26 February in the usual lecture venue. There is a sample on P.45 of the notes to give you an idea of the length and layout only.

Almost everything in Chapter 1 is examinable. This means:

- P.23, Q.1-10
- P.32, Q.1-8 [Q.9 is too long and Q.10 is not examinable]
- P.39, Q.1-11

Additional practise questions may be found by looking at past exam papers (usually vectors are Q. 1, sometimes Q. 2).

You will want to be familiar with all the concepts in the Vector Summary, P. 41-44.

If you want questions answered you have two options:

- ask me questions via email, perhaps with a photo to show your work
- ask me questions via the comment function on this website

## Week 4

We had Concept MCQ about vectors and then we started looking at Chapter 2: Matrices. We did some examples of matrix arithmetic and looked at Matrix Inverses — “dividing” for Matrices. This will allow us to solve matrix equations. Here find a note that answers the question: why do we multiply matrices like we do?

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