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*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

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.

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.

### 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.

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.

### 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.

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.

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.

## Week 6

We finished off Chapter 2 on Monday and then had some tutorial time.

Wednesday, after an Undetermined Coefficients MCQ, we started looking at “The Engineer’s Transform” — the Laplace Transform. We looked at the first shift theorem, and how the Laplace Transform interacts with differentiation. We started looking at partial fractions.

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:

It might not be the worst idea in the world to devote some time to this over Easter.

## Assignment 1 – Results and Remarks

Have been emailed to you. Some remarks with common mistakes.

## Week 5

We almost finished Chapter 2 on Wednesday. We must do a little more in Week 6.

I was absent Wednesday AM but instead we have an extra class, tomorrow, Thursday 09:00 in B185.

We thus have two hours of tutorial time tomorrow Thursday. You will be allowed work on Assignment 1. If you are ready for Assignment 1 you need to start looking at the Chapter 2 exercises.

## Assignment 1

Assignment 1 now has a hand-in time and date of 18:00 Thursday 27 February (Week 5). Submit in class tomorrow or to A283.

- Work submitted after the deadline will be assigned a mark of ZERO. Hand up whatever you have on time.

Your Excel file must be submitted via CANVAS.

More information in the last two weekly summaries.

**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.**

## Assignment 1

Assignment 1 has a hand-in time and date of 11:00 Thursday 27 February (Week 5).

See the Week 2 Summary for more.

One final warning: do not give your work to others to copy. If there is a lack of originality of presentation I will be dividing marks between those who copy each other and the person who did the original work will be penalised along with those who copy them.

Note in particular:

- Work submitted after the deadline will be assigned a mark of ZERO. Hand up whatever you have on time.
- Only Partial Pivoting
*has*to be done using Excel. - Note that if you are doing Gaussian Elimination by hand you must use exact fractions and square roots rather a decimal approximation.
- I advise that you do the questions out roughly first because small mistakes are inevitable.

**THIS IS A LEARNING ACTIVITY NOT JUST A GRADED ACTIVITY. THE CHAPTER ONE EXAM QUESTION IS WORTH 24.5% OF YOUR FINAL GRADE WHILE THIS ASSIGNMENT IS WORTH JUST 15%. THINK ABOUT WHAT THIS MEANS.**

**to two significant figures**), Excel is far more suitable.

**two significant figures**(say two or three iterations) — which is no problem by hand — but potentially it could take more (at least six). I don’t really want people spending loads of time doing iterations by hand, so I will give 3/4 marks for Q. 2 if you do six iterations by hand. If you want to keep going – by hand – until convergence (

**to two significant figures**) you can of course get the 4/4 marks – but you need to ask yourself is it worth your time to keep going for the sake of one mark (out of 60… out of 15% —- that is 0.25% of your final grade).

## Week 4

I was late on Monday… so we had a tutorial instead of a lecture.

We had another tutorial Wednesday AM.

We worked on Chapter 2 Wednesday PM and Thursday.

## 09:00 Wednesday 26 February

We will not have class 09:00 on Wednesday. Instead we will have class at 09:00 on Thursday, provisionally in **B185.** Watch this space.

## Week 5

We will hopefully finish off our work on the method of undetermined coefficients between Monday and Wednesday PM. We will have two hours of tutorial on Thursday morning before the Assignment 1 deadline of 11:00.

## 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, etc..

**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.**

## Assignment 1

Assignment 1 has a hand-in time and date of 11:00 Thursday 27 February (Week 5).

See the Week 2 Summary for more.

## Week 3

On Monday, we looked at applications to temperature distribution, where the Jacobi Method is used to find approximate solutions to a diagonally dominant linear system. We had about ten minutes of tutorial time.

To understand more what is going on watch the following video, which shows how the approximations to the solution *iterate:*

On Wednesday we had two tutorials on Chapter 1, including a second Concept MCQ.

On Thursday we started work on Chapter 2 — the method of undetermined coefficients for solving linear odes.

## Week 4

We will continue our work on Chapter 2 on Monday and Wednesday AM, then we will have two tutorials Wednesday PM and Thursday.

## 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, etc..

**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.**

## Assignment 1

Assignment 1 has a hand-in time and date of 11:00 Thursday 27 February (Week 5).

Read the P.54 and P.55 instructions carefully. You will be submitting an Excel file, to Canvas, and written work (including a print out of your Excel work).

Note in particular:

- Work submitted after the deadline will be assigned a mark of ZERO. Hand up whatever you have on time.
- Only Partial Pivoting
*has*to be done using Excel. - Note that if you are doing Gaussian Elimination by hand you must use exact fractions and square roots rather a decimal approximation.
- I advise that you do the questions out roughly because small mistakes are inevitable.

The files you need to complete this assignment have been emailed to you. If you don’t want to calculate your and they are calculated in MATH7021A1 – Student Data.

We have now covered enough in class for you to do all of the Assignment except for Problem F. After Monday we will have enough covered in class.

**WARNING!**

This gives a good opportunity for collaboration but remember collaboration does not mean one student solving the problem and everyone else copying that student’s work. I demand originality of presentation here and you should at least understand what you hand up. If you are unsure of what I mean by this please email me immediately as if I have students who have clearly copied the answer word-for-word from another student they will all be sharing the marks.

Start early so you have enough time to complete the assignment properly and get good learning from it.

**THIS IS A LEARNING ACTIVITY NOT JUST A GRADED ACTIVITY. THE CHAPTER ONE EXAM QUESTION IS WORTH 24.5% OF YOUR FINAL GRADE WHILE THIS ASSIGNMENT IS WORTH JUST 15%. THINK ABOUT WHAT THIS MEANS.**

## Week 2

We finished the Gaussian Elimination examples on Monday — then had some tutorial time Wednesday AM — and then Wednesday PM we will began to look at applications of linear systems to traffic and pipe flow.

We started Thursday with some Gaussian Elimination Concept MCQs.

Then we finished the section on pipe flow and had 10 minutes tutorial time.

## Week 3

On Monday, we will look at applications to temperature distribution, where the Jacobi Method is used to find approximate solutions to a diagonally dominant linear system.

Wednesday am we will finish looking at Chapter 1, and possibly have another Concept MCQ. Wednesday pm we will have more tutorial time.

On Thursday we will start work on Chapter 2 — the method of undetermined coefficients for solving linear odes.

## 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, etc..

## Week 1

We started the first chapter on Linear Algebra. Essentially, for us, simultaneous equations. We looked at Gaussian Elimination including Partial Pivoting, which is required in the presence of rounding. We looked at three examples, and had a tutorial on Thursday.

## Week 2

We will finish the Gaussian Elimination examples on Monday — then have some tutorial time Wednesday AM — and then Wednesday PM we will begin to look at applications of linear systems to traffic and pipe flow.

## Assignment 1

Assignment 1 has a hand-in date of Thursday 27 February (Week 5). More information next week once the class list has settled down.

## Study

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

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