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*K**eep 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.”

## 40% Test 1

90 minute, 40% Test, 11:00 Monday 11 May 2020

This test will examine Chapter 2, Section 3.6, and Chapter 4. A Summer 2020 paper was written, and this test will comprise of Q. 2, 3 (d), and 4 from that exam. The question comprises 40% of that exam, and that translates to 48 minutes of exam time. I will extend this to 75 minutes and allow 15 minutes to upload.

Here is tutorial video for this test.

Section 3.6 and Chapter 4 material can be found in Week 10, Easter Week 1, and Easter Week 2 (lectures and tutorial).

Chapter 2 Exercises that you should be looking at include:

- p.86, Q. 1-4
- p.91, Q. 1-7
- p.86, Q. 5-6 (harder)

I have developed the following for you to practise your differentiation which you need for Chapter 2 here:

If you have any further questions on these topics, I am answering emails seven days a week. Email before midnight tonight to be guaranteed a response Monday 11 May. I cannot guarantee that I answer emails sent on Monday (although of course I will try).

## 20% Linear Systems Test

90 minute, 20% Linear Systems Test, 11:00 Thursday 21 May 2020

This test will re-examine Chapter 1. A Summer 2020 paper was written, and this test will comprise of Q. 1 from that exam. The question comprises 35% of that exam, and that translates to 42 minutes of exam time. I will extend this to 75 minutes and allow 15 minutes to upload.

Here is video based on Q. 1 from the Summer 2019 paper on the back of your manual.

Chapter 1 Exercises may be found on:

- p.28
- p.38
- p.44
- p.51

You can submit work for feedback by midnight Monday 18 May to *Linear Systems Revision Exercises *on Canvas. After Monday, email before midnight Wednesday 20 May to be guaranteed a response Thursday 21 May. I cannot guarantee that I answer emails sent on Thursday (although of course I will try).

*I recommend that you find (at least) 7 hours per week for MATH7021.*

*K**eep 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.”

## Week 13 to Sunday 10 May

### Catch Up

ASAP you need to catch up on Week 10, Easter Week 1, and Easter Week 2 (lectures and tutorial) for:

90 minute, 40% Test, 11:00 Monday 11 May 2020

This test will examine Chapter 2, Section 3.6, and Chapter 4. A Summer 2020 paper was written, and this test will comprise of Q. 2, 3 (d), and 4 from that exam. The question comprises 40% of that exam, and that translates to 48 minutes of exam time. I will extend this to 75 minutes and allow 15 minutes to upload.

Here is tutorial video for this test.

Chapter 2 Exercises that you should be looking at include:

- p.86, Q. 1-4
- p.91, Q. 1-7
- p.86, Q. 5-6 (harder)

I have developed the following for you to practise your differentiation which you need for Chapter 2 here:

Any exercises you do can be submitted to Week 13 Exercises by midnight Friday 8 May. If you have any further questions, I am answering emails seven days a week. Email before midnight Sunday 10 May to be guaranteed a response Monday 11 May. I cannot guarantee that I answer emails sent on Monday (although of course I will try).

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.

## Week 14 to 17 May

The 40% Test on Chapters 2, 4, and Section 3.6 will take place Monday 11 May.

In the form of the Test 1 trust pledge, instructions, and tables, practical information for Test 1 may be found here.

After this you will be invited to do revision on Linear Systems. Here is video based on Q. 1 from the Summer 2019 paper on the back of your manual.

## Week 15 to 24 May

The 20% Linear Systems Test will take place Thursday 21 May.

90 minute, 20% Linear Systems Test, 11:00 Thursday 21 May 2020

This test will re-examine Chapter 1. A Summer 2020 paper was written, and this test will comprise of Q. 1 from that exam. The question comprises 35% of that exam, and that translates to 42 minutes of exam time. I will extend this to 75 minutes and allow 15 minutes to upload.

*I hope to have Assignment 2 corrected and the marks communicated to you within 48 hours. That is a hope not a promise.*

*Many of you only submitted Assignment 2 late in the day and need to find at least (in my opinion) 7 hours per week to catch up on the other material.*

*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.”

## Week 12 to Sunday 3 May

### Catch Up

ASAP you need to catch up on Week 10, Easter Week 1, and Easter Week 2 (lectures and tutorial).

This learning is directed towards the 40% Test (based on Chapter 2, Section 3.6, and Chapter 4). Here is tutorial video for this test.

Chapter 2 Exercises that you should be looking at include:

- p.86, Q. 1-4
- p.91, Q. 1-7
- p.86, Q. 5-6 (harder)

I have developed the following for you to practise your differentiation which you need for Chapter 2 here:

Any exercises you do can be submitted to Week 12 Exercises by midnight Sunday 3 May.

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.

## Week 13 to 10 May

You will be invited to catch up on the Week 10, Easter Week 1, and Easter Week 2 learning, as well as do revision on Chapter 2. You will be asked to submit work for feedback by midnight Friday 8 May.

## Week 14 to 17 May

Provisionally, the 40% Test on Chapters 2, 4, and Section 3.6 will take place Monday 11 May.

In the form of the Test 1 trust pledge, instructions, and tables, practical information for Test 1 may be found here.

After this you will be invited to do revision on Linear Systems. Here is video based on Q. 1 from the Summer 2019 paper on the back of your manual.

## Week 15 to 24 May

Provisionally, the 20% Linear Systems Test will take place Thursday 21 May.

*Although I have extended the Assignment 2 deadline by a week to Friday 24 April, it is my strong advice to finish and submit Assignment 2 ASAP, and then try and find 7 hours more hours on top of that** for MATH7021, and spend that time on it before Sunday 16 April.*

*Keep in mind at all times:*

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

## Week 11 to Sunday 26 April

### Finish Assignment 2: Laplace Transforms

As outlined in the assignment section:

As per p.167-175 in the manual.

You may email any questions about the assignment and you will receive a response the next day, andI will be responding to emails seven days a week.

When it comes to submission, think about the following:

Review photo. If you cannot see, we cannot mark it.Be careful of shadowsTake A4 pages out of pad.Have A4 page flat on a surface.Take picture directly over page.LightingUse sharp black or blue pen. No pencil. No red pen?Picture of one a page at a time.Clearly label page with page numbers and labels

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.

Here is video (30 minutes) of me doing (parts (a) to (c) of) the Laplace Transform exam question on p. 228 of the manual.

If you haven’t yet, go back and do the Week 8 learning tasks, and watch

- Over-, Under-, and Critical Damping (6 minutes)

“

You may email any questions about the assignment and you will receive a response the next day, and“I will be responding to emails seven days a week.

*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.

I will start correcting Assignment 2 Saturday 25 April.

*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 MATH7021 up to now. Work your way down through this announcement. It is my advice to try and find 7 hours per week** for MATH7021, and spend that time on it. You may want to put extra time into Assignment 2. *

*Now that all the material is covered, I am focusing on supporting your learning.*

*The now 25% second assignment is due Friday 17 April 2020. The other assessment are provisionally set for 11 May (provisionally changed from 8 May, 40% Test on Chapters 2 & 4, and Section 4.6), and 21 May (20% test on 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.”

*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 MATH7021 up to now. It is my advice to try and find 7 hours per week** for MATH7021, and spend that time on it. You may want to put extra time into Assignment 2. Work your way down through this announcements. 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 you are only starting remote learning now, the plan below is designed for such students*

*The now 25% second assignment is due Friday 17 April 2020. The other assessment are provisionally set for 11 May (provisionally changed from 8 May, 40% Test on Chapters 2 & 4, and Section 4.6), and 21 May (20% test on 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.”

*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.*

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

## Week 10 to Sunday 5 April

### Lectures

If you have not looked at the Week 9 material you should do so now.

This week’s lectures? A bit of a disaster folks. I recorded about 60 minutes on Section 3.6 of the notes. However AFTER I uploaded them I saw that they were all out of focus and essentially useless. As I had already written the notes, I couldn’t re-record as normal.

Therefore what I decided to do was take photos of the notes and put them into a (pages out of order) pdf file which you can access here.

In addition I recorded a 20 minute lecture to explain some of the maths (but very little of the context).

My recommendation?

Spend 20-30 minutes writing the notes into your manual. After this, spend 20-30 minutes watching the lecture. Then, after watching the lecture, spend 20-30 minutes going over the notes again, and now hopefully what didn’t sink in, will now.

### Tutorials

**25 APRIL EDIT: If you are catching up you do:**

p.184, Q. 1-4

__________________________________________________________________________________________

You will be recommended to spend the remainder of your MATH7021 time, c. 5.5 hours continuing working on the p. 133-8 exercises. Start with:

- p.133, Q. 1-10

When you feel you are comfortable with the material please begin Assignment 2 on p.167.

Otherwise continue with:

- p.137, Q. 11-18

You can (carefully) take photos of your work (with questions labelled neatly) and submit to the Week 10 Ungraded Tutorial Work those images on Canvas before midnight Sunday 5 April. After 09:00 Monday 6 April I will download all student work and reply with feedback.

*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.

### Assignment 2

You are now able to begin Assignment 2 on p.167. My advice for the moment, for MATH7021 at least, is to focus at this time on learning rather than assessment. If you have gotten to grips with Laplace Transforms, doing Assignment 2 is as good a learning task as any. I am sorry that I cannot be more definitive than that at this stage. As soon as I have more information I will let you know.

## Week to Sunday 12 April

### Lectures

Perhaps of the order of 2 hours of lectures on Double Integrals.

### Tutorial

One hour and any remaining time on Assessment 2.

## Week to Sunday 19 April

### Lectures

Perhaps of the order of 2 hours of lectures on Triple Integrals.

### Tutorial

One hour and any remaining time on Assessment 2.

## Week 11 to Sunday 26 April

### Lectures

I will go over the Summer 2019 Exam Paper. 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.

## Undetermined Coefficients

Only those of us who finished Assignment 1 early got much tutorial time with Chapter 2. I will hope that we will get more tutorial time on Chapter 2 at a later date, but until then, I have developed the following for you to practise your differentiation which you need for Chapter 2 here:

Exercises:

- p.86, Q. 1-5
- p. 91, Q. 1-7
- p. 86, Q. 6

*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

### Lectures

If you have not looked at the Week 8 material you should do so now.

A very short lecture as I want you to devote a lot of time doing exercises this week:

- Over-, Under-, and Critical Damping (6 minutes)

### Tutorials

You will be recommended to spend the remainder of your MATH7021 time, c. 6.75 hours working on the p. 133-8 exercises. Start with:

- p.133, Q. 1-10

When you feel you are comfortable with the material please begin Assignment 2 on p.167.

Otherwise continue with:

- p.137, Q. 11-18

You can (carefully) take photos of your work (with questions labelled neatly) and submit to the Week 9 Ungraded Tutorial Work those images on Canvas before midnight Sunday 29 March. After 09:00 Monday 30 March I will download all student work and reply with feedback.

*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.

### Assignment 2

You are now able to begin Assignment 2 on p.167. My advice for the moment, for MATH7021 at least, is to focus at this time on learning rather than assessment. If you have gotten to grips with Laplace Transforms, doing Assignment 2 is as good a learning task as any. I am sorry that I cannot be more definitive than that at this stage. As soon as I have more information I will let you know.

## Week 10 to Sunday 5 April

### Lectures

Perhaps of the order of 1.5 hours of lectures on Systems of Differential Equations.

### Tutorials

Same as Week 9.

*From this point on there is little point making advance plans for Tutorials.*

## Week to Sunday 12 April

### Lectures

Perhaps of the order of 2 hours of lectures on Double Integrals.

## Week to Sunday 19 April

### Lectures

Perhaps of the order of 2 hours of lectures on Triple Integrals.

## Week 11 to Sunday 26 April

### Lectures

I will go over the Summer 2019 Exam Paper. 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.

## Undetermined Coefficients

Only those of us who finished Assignment 1 early got much tutorial time with Chapter 2. I will hope that we will get more tutorial time on Chapter 2 at a later date, but until then, I have developed the following for you to practise your differentiation which you need for Chapter 2 here:

Exercises:

- p.86, Q. 1-5
- p. 91, Q. 1-7
- p. 86, Q. 6

*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 110 minutes of lectures. You should schedule 3 hours to watch them and take the notes in your manual. You need this extra time above 110 minutes because you will want to pause me.

- Inverse Laplace Transform Examples (28 minutes)
- Laplace Transform Method Examples I (23 minutes)
- Laplace Transform Method Examples II (21 minutes)
- Laplace Transform Method Examples III (21 minutes)
- Laplace Transform Method Examples IV (18 minutes)

I am trying to front load some of the lecture material so that you can complete the assignment if you so wish. In subsequent weeks there will be less time on the video lectures.

### Tutorial

You need to schedule four hours to work on the following exercises. This is comprised of the one hour you would have normally and the three non-contact hours you should be doing all the time.

You can (carefully) take photos of your work and submit to the Week 8 Ungraded Tutorial Work those images on Canvas before midnight Sunday 22 March. After 09:00 Monday 23 March I will download all student work and reply with feedback.

*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.

Start with:

- p.133, Q. 1-10

## Week 7

We continued looking at “The Engineer’s Transform” — the Laplace Transform.

We continued looking at partial fractions and then the inverse Laplace Transform.

We had one tutorial Wednesday PM where we worked on partial fractions.

## Week 8

It is my intention to record lectures at home. I have a camcorder and a whiteboard in my home office.

I am going to, more or less as soon as possible, record at home enough lectures for you to be able to do the second assignment. This means I want to push forward up to p.132.

I expect ye to watch the lectures and to spend some time doing exercises. How much time you devote to exercises is up to you, but in theory you are supposed to spend 7 hours per week on MATH7021 between classes and independent learning.

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