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## 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

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.

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

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 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?

## 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 three options:

- hand me up written work next week, which I will correct, scan, and email back to you
- ask me questions via email, perhaps with a photo to show your work
- ask me questions via the comment function on this website

## Week 3

We start working with the cross product and looked at the applications of vectors to work and moments.

We had no tutorial time but have 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.**

## 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: there is some availability after 16:00 on Mondays and Tuesdays.

## Week 2

We finished the dot product examples.

Then we had extensive tutorial time in which we worked on:

**P.23, Q.1-10**- P.45, Sample Test, Q. 1, 2, 4
- P. 203, Winter 2018, Q. 1 (a), (b)

Then we started talking about the cross product.

## 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.

**P.23, Q.1-10**- P.45, Sample Test, Q. 1, 2, 4
- P. 203, Winter 2018, Q. 1 (a), (b)
- I also handed out an older exam paper: you might be able to do some of Q. 1 (a).

## Week 3

We will start working with the cross product and begin to look at the applications of vectors to work and moments. There will be no tutorial time.

## Test 1

If we finish the Vectors chapter the test will be in Week 5: otherwise we will push this out to Week 6. Official notice will be given in Week 3 (or Week 4 if necessary). There is a sample test in the notes.

## CIT Mathematics Exam Papers

## Student Resources

**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 and must be purchased as soon as possible (you definitely need them for Week 3). More information has been sent out via email.

## 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. Next week, some students will receive slips detailing areas of maths that they should brush up on. The timetable is here: there is some availability after 16:00 on Mondays and Tuesdays.

## Week 1

We began our study of Chapter 1, Vector Algebra by studying the difference between a scalar (single number) and a vector (list of numbers). We looked at how to both visualise vectors and describe them algebraically. We learned how to find the magnitude and direction of a vector, add them and scalar multiply them. We spoke about displacement vectors and introduced the vector product known as the dot product.

## Homework/Study

How much time you put into homework is up to you: of course the more time you put in the better but we all have competing interests. Please feel free to ask me questions about the exercises via email or even better on this webpage.

Next week we are going to be lucky in that we are going to have a significant amount of tutorial time, primarily with P. 23, Q.1-10. If you want to make a start on P.23 as homework will be a step ahead and invited to work on as per below.

**P.23, Q.1-10**- P.45, Sample Test, Q. 1, 2, 4
- P. 203, Winter 2018, Q. 1 (a), (b)
- I also handed out an older exam paper: you might be able to do some of Q. 1 (a).

## Week 2

In Week 2 we will finish the dot product examples before doing some tutorial work on the p.23 exercises.

## Test 1

The test will probably be the Week 5: if progress with the vectors material is slow, we may push this out to Week 6. Official notice will be given in Week 3 (or Week 4 if necessary). There is a sample test in the notes.

## CIT Mathematics Exam Papers

## Student Resources

## 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)

## Student Feedback

You are invited to give your feedback on my teaching and this module here.

## CA Results

Have been emailed out, with comments.

## Week 12

On Monday and Tuesday we had extra tutorials: you were invited to either work on integration and/or matrices; the choice was up to you.

On Thursday we finished off the module by doing an extra example of a centre of gravity of a solid of revolution. We had tutorial time after that.

## Week 13

There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):

- Monday 16:00
- Tuesday 09:00
- Thursday 09:00

We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.

- Monday at 09:00 in E15
- Monday at 17:00 in B189
- Thursday at 12:00 in E4

Past exam papers (MATH6040 runs in Semester 1 and Semester 2) may be found here.

Recall that this module is MATH6040: Technological Maths 201 and not MATH6015: Technological Maths 2.

## 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, past exam papers, etc.

## Student Feedback

You are invited to give your feedback on my teaching and this module here.

## Test 2 Results

Will be sent out tomorrow afternoon along with some comments.

## Week 11

We had Test 2 on Monday.

On Tuesday we had a tutorial, doing some revision exercises for antidifferentiation and integration (Q. 5 should be +400 J, Q. 9 should be 3e-3).

On Thursday we looked at centres of gravity of solids of revolution.

## Week 12

On Monday and Tuesday we will have extra tutorials: you will be invited to either work on integration and/or matrices; the choice will be up to you.

On Thursday we will finish off the module by doing an extra example of a centre of gravity of a solid of revolution.

## Week 13

There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):

- Monday 16:00
- Tuesday 09:00
- Thursday 09:00

We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.

- Monday at 09:00 in E15
- Monday at 17:00 in B189
- Thursday at 12:00 in E4

## 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 past exam papers, Academic Learning Centre, etc.

## Test 2

The 15% Test 2 will take place at 16:00 on Monday 26 November, Week 11, in B263. There is a sample test in the notes, p.146. Chapter 3: Differentiation is going to be examined. A Summary of Differentiation (p.144): you will want to know this stuff very well. You will be given a copy of these tables.

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 10

We looked at completing the square, work and centroids.

A good revision of integration/antidifferentiation may be found here.

## Week 11

We have our test on Monday.

On Tuesday we will have a tutorial for a lecture. Those who are not strong on antidifferentiation will be given revision exercises from MATH6015.

On Thursday we will look at centres of gravity of solids of revolution.

## Week 12

On Monday and Tuesday we will have extra tutorials: you will be invited to either work on integration and/or matrices; the choice will be up to you.

On Thursday we will finish off the module by doing an extra example of a centre of gravity of a solid of revolution.

## Week 13

There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):

- Monday 16:00
- Tuesday 09:00
- Thursday 09:00

We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.

- Monday at 09:00 in E15
- Monday at 17:00 in B189
- Thursday at 12:00 in E4

## Study

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

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