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Please find a provisional plan for Weeks 8-13. I do not yet have any certainty around assessment. At this time it is my intention to deliver week-on-week up to 19 April, and then have three weeks of review after this. Of course all plans are provisional in the current environment.
Week 8 to Sunday 22 March
Lectures
There are about 100 minutes of lectures. You should schedule 2.75 hours to watch them and take the notes in your manual. You need this extra time above 100 minutes because you will want to pause me.
- Related Rates Theory (16 minutes)
- Related Rates Examples (27 minutes)
- Implicit Differentiation Theory (17 minutes)
- Implicit Differentiation Examples I (29 minutes)
- Implicit Differentiation Examples II (10 minutes)
If you are interested in a very “mathsy” approach to curves you can look at this.
Tutorial
Ideally you need to work about 4.25 hours to work on the following exercises.
You can (carefully) take photos of your work and submit to the Week 8 Exercises those images on Canvas before midnight Wednesday 25 March. After 09:00 Thursday 26 March I will download all student work and reply with feedback.
If possible, submit the images as a single pdf file. To do this, select all the images in a folder, right-click and press print. It will say something like How do you want to print your pictures? Press (Microsoft?) Print to PDF. If possible choose an orientation that has all the images in portrait.
Do not hesitate to contact me with questions at any time. My usual modus operandi is to answer all queries in the morning but sometimes I may respond sooner.
Exercises:
- p.128, Q. 1-3
- p.136, Q. 1-4 (These questions are interleaved. This means that they are not all from Section 3.3.)
- p.128, Q. 4-6
- p.137, Q. 5-6, 7 (a)-(e)
Harder Exercises:
- p.129, Q. 7
- p.137, Q. 7 (f)
Tuesday 17 March 2020, Week 8
This class is postponed to the same time and room, but Wednesday 18 March.
Week 7
In Week 7 we did a matrices Concept MCQ and then did a quick revision of differentiation:
Then we looked at Parametric Differentiation.
We had no tutorial time
Test 1 – Results
Have been emailed to you,
Week 6
We finished Chapter 2 by looking at Determinants and Cramer’s Rule. Ye did an example in class, video here: Cramer’s Rule Example
The new material was recorded here.
We had about 90 minutes of tutorial time looking at Chapter 2.
Test 1 – Results
I will have these to you by the end of the week.
Week 5
After our test, we continued to look at Matrix Inverses — “dividing” for Matrices. This allowed us to solve matrix equations. We will look at linear systems, and spoke again about determinants.
We had no tutorial time.
Test 1
Test 1, worth 15%, takes place from 19:00 to 20:05 sharp, Tuesday 25 February in the usual lecture venue. There is a sample on P.53 of the notes to give you an idea of the length and layout only.
More information in last week’s summary.
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 a Concept MCQ about vectors, and then we started looking at Chapter 2: Matrices. We did some examples of matrix arithmetic and look at Matrix Inverses — “dividing” for Matrices.
Here find a note that answers the question: why do we multiply matrices like we do?
We had no tutorial time.
Test 1
Test 1, worth 15%, takes place from 19:00 to 20:05 sharp, Tuesday 25 February in the usual lecture venue. There is a sample on P.53 of the notes to give you an idea of the length and layout only.
Everything in Chapter 1 is examinable. Additional practise questions may be found by looking at past MATH6040 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. 49-52.
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
In Week 3 will found out how to calculate a vector product, and we looked at the applications of vectors to work and moments
We managed about 30 minutes of tutorial time.
Week 2
In Week 2 we finished talking about the scalar product before doing some tutorial work on the p.29 exercises.
We started talking about the vector product, but we did not show how to calculate it.
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.
I would invite you to complete the exercises we started in class:
- P.29, Q.1-11
In addition, you can hand up your work in class and I will have it correct for the week after. You may need the formula that the area of a triangle is equal to 
Week 3
In Week 3 we will find out how to calculate a vector product, and we will look at the applications of vectors to work and moments
We might manage a little tutorial time.
Test 1
If we finish the Vectors chapter in Week 3 the test will be in Week 5 (this is very likely): 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.
Study
Please feel free to ask me questions about the exercises via email or even better on this webpage.
Academic Learning Centre
If you are a little worried about your maths this semester, perhaps after the Diagnostic Test or in general, I would just like to remind you about the Academic Learning Centre. Next week, some students will receive emails detailing areas of maths that they should brush up on. The timetable is here: there is some availability after 17:00 on Mondays and Tuesdays.
Student Resources
Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.
Strike!
There is 24 hour strike this Tuesday, and so we will have our Week 2 class on Wednesday 5 February, 19:00-22:00, in the same room, B188.
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.
Manuals
The manuals are available in the Copy Centre and must be purchased before next Wednesday’s class.
J.P. McCarthy: Math Page 
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