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Test 1
As I said in Tuesday’s lecture, I was a little concerned to see so many people still writing when time was up.
I said that the test is normally 55 rather than 50 minutes long (due to restrictions placed on me by the Exams Office (that I subsequently saw were unnecessary)), but that I had thought I had adjusted the test appropriately.
There are two main reasons why people might have been still writing with time up:
- people, primarily due to missing too many classes, were not prepared properly, and/or
- the test was too long
I can apologise unreservedly if it was the case that the test was too long.
How I can I fix this?
First of all, for the second test I will give ye the full hour rather than 55 minutes.
The second thing I will do is look back on last year’s results for Test 1 and look at the average of those:
- with zero attendance warnings
- with one attendance warnings
- with two attendance warnings
- with three attendance warnings
If these differ significantly from this year’s averages, I will adjust upwards the marks appropriately.
If I don’t see a significant difference I am going to put the fact that people were still writing with no time left as primarily down to them not having prepared properly for the test.
Week 6
We had the test on Monday and this meant we could not start a review of differentiation. On Tuesday we looked at Cramer’s Rule, and then on Thursday we did one more question followed by a Concept MCQ on Matrices.
I actually have videos from last year if you missed some classes from Week 6:
Week 7
We will start Chapter 3 with a review of differentiation followed by a look at Parametric Differentiation.
If you want to look ahead here are two videos:
Test 1
Test 1, worth 15%, takes place from 16:00 to 16:50 sharp, Monday 14 October in the Melbourne Hall (rows I-K). I will have emailed your 15:00-16:00 lecturers so that they will leave you plenty of time to get to the Melbourne.
There is a sample on P.46 of the notes to give you an idea of the length and layout only.
Almost everything in Chapter 1 is examinable. 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. 42-45.
You can check your work against the Sample Test Marking Scheme.
Any questions at all, you can email me, perhaps with a screenshot of your attempt. There are also a number of you in the Telegram group which has thus far been silent.
HINT (very rare): Look at “Vector of a Given Magnitude in a Given Direction” on p.15-16. Thus, also, Example 3 Winter 2017 on p.37-38, Example 4 Summer 2016 on p.38, and Autumn 2018 on p.39-40.
Week 5
We look at Matrix Inverses — “dividing” for Matrices. This allowed us to solve matrix equations. We looked at linear systems, and determinants.
Week 6
We will finish looking at Chapter 2 and then we will start Chapter 3 with a review of differentiation followed, perhaps, by a look at Parametric Differentiation.
Your timetable is wrong in the naming of this module. MATH6040 is Technological Maths 201 and not Technological Maths 2. You did Technological Maths 2: MATH6015, last year.
Test 1
Test 1, worth 15%, takes place from 16:00 to 16:50 sharp, Monday 14 October in the Melbourne Hall (rows I-K). I have emailed your 15:00-16:00 lecturers so that they will leave you plenty of time to get to the Melbourne.
There is a sample on P.46 of the notes to give you an idea of the length and layout only.
Almost everything in Chapter 1 is examinable. 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. 42-45.
Week 4
We finished looking at the applications of vectors to work and moments and began Chapter 2: Matrices. We did some examples of matrix arithmetic. Here find a note that answers the question: why do we multiply matrices like we do?
We also did a Concept MCQ to summarise Chapter 1.
Week 5
We will look at Matrix Inverses — “dividing” for Matrices. This will allow us to solve matrix equations. We will look at linear systems, and possibly determinants.
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
Test 1, worth 15%, takes place from 16:00 to 16:50 sharp, Monday 14 October in the Melbourne Hall (rows I-K). I have emailed your 15:00-16:00 lecturers so that they will leave you plenty of time to get to the Melbourne.
There is a sample on P.46 of the notes to give you an idea of the length and layout only.
Almost everything in Chapter 1 is examinable. 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. 42-45.
Telegram App
For those who have already contacted me, I hope to have this set up for Monday.
If this is something you might be interested in, please download the Telegram app and set yourself up with an @ handle.
Diagnostic Test
I will be in touch with those who have taken the diagnostic test.
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 3
We started working with the cross product and looked at the applications of vectors to work.
We had some active learning time with a Concept MCQ: Vector or Scalar?
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.
J.P. McCarthy: Math Page 
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