*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)

## Week 9 to Sunday 29 March

### Lectures

We will look at Functions of Several Variables, partial differentiation, and its applications to error analysis.

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

## Week 10 to Sunday 5 April

### Lectures

Perhaps of the order of 1.5 hours of lectures on starting Chapter 4 on (Further) Integration with a revision of antidifferentiation, and a look at Integration by Parts. We will use implicit differentiation to differentiate inverse sine.

## Week to Sunday 12 April

### Lectures

Perhaps of the order of 1.5 hours of lectures on completing the square, and work.

## Week to Sunday 19 April

### Lectures

Perhaps of the order of 1.5 hours of lectures on centroids of laminas and centres of gravity of solids of revolution.

## Week 11 to Sunday 26 April

### Lectures

I will go over the Summer 2019 Exam paper at the back of your manual. This video may be of the order of 3 hours.

## Monday 27 April to ?

It is my intention to continue providing learning support for you.

## 5 comments

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March 23, 2020 at 9:16 am

MATH6040: Spring 2020, Week 9 | J.P. McCarthy: Math Page[…] you have completed the tasks outlined in the Week 8 Summary you can now begin on the […]

April 4, 2020 at 9:23 am

MATH6040: Spring 2020, Easter Week 1 | J.P. McCarthy: Math Page[…] are prepared for the Matrices assessment, my recommendation is do as much catch up as you can on Week 8, Week 9, and Week 10. The Week 10 exercises may be submitted up to 8 April, and any work other work […]

April 11, 2020 at 3:01 pm

MATH6040: Spring 2020, Easter Week 2 | J.P. McCarthy: Math Page[…] you have not already done so, you should watch the Week 8 and Week 9 lectures, and also look at the video for the derivative of inverse […]

April 17, 2020 at 7:09 am

MATH6040: Spring 2020, Week 11 | J.P. McCarthy: Math Page[…] you have not already done so, you should watch the Week 8 and Week 9 lectures, and also look at the video for the derivative of inverse sine. Also here is […]

April 25, 2020 at 1:55 pm

MATH6040: Spring 2020, Week 12 | J.P. McCarthy: Math Page[…] if you have not already done so, you should watch the Week 8 and Week 9 lectures, and also look at the video for the derivative of inverse sine. Also here is […]