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*In your Canvas announcements you will see that I have laid out a provisional plan for the remaining assessment.*

*There is a lot of information and tasks in this announcement but that is to account for the fact that people have got more or less work done on MATH6040 up to now. It is my advice to try and find 7 hours per week for MATH6040, and spend that time on it. Work your way down through this announcement. If you do not get all the tasks done, that is no problem, the plan is designed so that you can catch up in time (e.g. there will be no new material in Weeks 11, 12, or 13).*

*I am trying to cover all the material by the end of Easter, and then we can focus on supporting your learning for the remaining assessment. Depending on your circumstances, it might make more sense for you to to get learning front-loaded, or do the remaining learning (all based on Chapter 4), a little closer to the Chapter 4 assessment. Personally, I think keeping up with the learning as it comes is the way to go, but this might not be possible for you.*

*If you have been engaging with the learning tasks, great, h**owever if this is not the case for you, it is not too late to get on top of all the material and the plan below is designed for such students*

*The first assessment will take place 19:30 Tuesday 14 April 2020 and is based on Chapter 2: Matrices. More information below. The other assessments are provisionally set for 28 April (Chapter 3), 12 May (Chapter 4), and 19 May (Chapter 1). The following plan is designed around these. *

*Keep in mind at all times:*

“Any and all work, submitted at any time, will receive feedback.”

“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.”

*Please find a provisional plan for Weeks 10-13. I do not yet have any certainty around assessment although we are working hard to make a plan. 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 10 to Sunday 5 April

If you have completed the tasks outlined in the Week 9 Summary you can now begin on the below.

### Lectures

There are about 82 minutes of lectures. You should schedule 2.25 hours to watch them and take the notes in your manual. You need this extra time above 82 minutes because you will want to pause me.

The first two videos are based on this post.

- Revision of Antidifferentiation: Direct and Manipulation (27 minutes)
- Revision of Antidifferentiation: Substituion (22 minutes)
- Integration by Parts (30 minutes)

I recorded a lot of this material before in a live lecture: press here to watch live version (84 minutes). Watch the above videos or the live lecture.

One more video that is actually Chapter 3 material (and the recording was a little messed up so no live writing):

- Derivative of Inverse Sine (3 minutes)

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.

### Tutorial

*Ideally *you need to work about 4.75 hours to work on the following exercises.

Exercises:

- p.178, Q. 1-13 (These questions are revision exercises)
- p.184, Q. 1-5

Harder Exercises:

- p.184, Q. 7-9

Additional/Revision Exercises:

- p.184, Q. 6

You can (carefully) take photos of your work (with questions labelled neatly) and submit to the Week 10 Exercises those images on Canvas before midnight Wednesday 8 April.

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.

After 09:00 Wednesday April 9 I will download all student work and reply with feedback.

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.

If you want to submit earlier week exercises at a later date that is no problem as long as questions are labelled neatly. Any and all submitted work will receive feedback.

*Please find a provisional plan for Weeks 9-13. 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 9 to Sunday 29 March

If you have completed the tasks outlined in the Week 8 Summary you can now begin on the below.

### Lectures

There are about 120 minutes of lectures. You should schedule 3.25 hours to watch them and take the notes in your manual. You need this extra time above 2 hours because you will want to pause me.

- Functions of Several Variables (12 minutes)
- Partial Differentiation: Theory (25 minutes)
- Partial Differentiation: Examples (11 minutes)
- Higher Order Partial Derivatives (21 minutes)
- Partial Differentiation Tutorial (9 minutes)
- Differentials (10 minutes)
- Propagation of Errors (7 minutes)
- Propagation of Error Examples (25 minutes)

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.

Looking further ahead, a good revision of integration/antidifferentiation may be found here. Here is some video of revision of antidifferentiation.

### Tutorial

*Ideally *you need to work about 3.75 hours to work on the following exercises.

Exercises:

- p.151, Q. 1-5 (These questions are
*interleaved*. This means that they are not all from Section 3.4) - p.157, Q. 1-6 (These questions are
*interleaved*. This means that they are not all from Section 3.5)

Revision Exercises:

- p.151, Q. 6
- p.157, Q. 7-10 (These questions are
*interleaved*. This means that they are not all from Section 3.5)

You can (carefully) take photos of your work (with questions labelled neatly) and submit to the Week 9 Exercises those images on Canvas before midnight Wednesday 1 April.

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.

After 09:00 Wednesday April 2 I will download all student work and reply with feedback.

If you want to submit earlier week exercises at a later date that is no problem as long as questions are labelled neatly. Any and all submitted work will receive feedback.

*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.

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.

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