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Test 2
On Chapter 3, on at 5 pm (not 4 pm) Monday 25 November, Week 11 in Melbourne Hall.
The BioEng2B tutorial will take place from 4 pm sharp to 4.45 pm in B263 on that day.
Chapter 3: Differentiation is going to be examined. A Summary of Differentiation (p.147-8): you will want to know this stuff very well. You will be given a copy of these tables.
There is a sample test on p. 149 of the notes.
I strongly advise you that attending tutorials alone will not be sufficient preparation for this test and you will have to devote extra time outside classes to study aka do exercises.
Week 8
We finished looking at Related Rates and then we looked at and finished Implicit Differentiation.
I have video of the above material here.
We then start looking at Functions of Several Variables.
Week 9
We will look at partial differentiation and its applications to differentials and error analysis.
We might start Chapter 4 on (Further) Integration. A good revision of integration/antidifferentiation may be found here.
Test 1
Results and Marking Scheme have been emailed to you.
Test 2
On Chapter 3, is planned for 5 pm (not 4 pm) Monday 25 November. Please contact me if this poses a problem for you.
Outlook
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 need to attend class regularly and prepare well for Test 2.
You have already been recommended to use your Reading Week:
“If you plan on doing some work on MATH6040 over the Reading Week, may I recommend looking at Chapter 2 exercises:
P. 95, Q. 1 (find b only), Q. 2-4
P. 85, Q. 1
P. 80, Q. 1-4
P. 84, Q. 1-2
P. 64, Q. 1-4 (remember BEMDAS — AD^T = A(D^T) not = (AD)^T)
If you are happy with these look at the differentiation revision: p.103, Q.1-2
You can email me at any time if you have any questions.
”
Week 7
We started Chapter 3 with a review of differentiation followed by a look at Parametric Differentiation.
Here are two videos if you missed this material:
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. If you are interested in a very “mathsy” approach to curves you can look at this.
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.
J.P. McCarthy: Math Page 
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