MATH6040: Spring 2020, Week 10

March 28, 2020 in MATH6040, MATH6040 - Night | 6 comments

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.

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):

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.

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MATH7021: Spring 2020, Week 10

March 27, 2020 in MATH7021 | 6 comments

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.

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

 

MATH6040: Spring 2020, Week 9

March 23, 2020 in MATH6040, MATH6040 - Night | 5 comments

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.

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.

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.

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MATH7016: Spring 2020, Week 9

March 22, 2020 in MATH7016 | 5 comments

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 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 7 summary, you can now begin on the below.

Lectures

There are about 80 minutes of lectures. You should schedule 2 hours and 15 minutes to watch them and take the notes in your manual. You need this extra time above 80 minutes because you will want to pause me.

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.

Lab 7

AFTER watching the first three lectures above, you should be able to do Lab 7 on p. 146.

Between now and Monday 30 March, you will be able to submit your work to Canvas, from which I will give you individual feedback. After 09:00 Tuesday 31 March I will download all student work and reply with feedback.

MCQ

After watching the first three lectures above, you should be able to do MCQ VII.

Submit your answers here before 09.00 Wednesday 1 April.

You can still do MCQ VI if you have not yet done so. Submit your answers here before 10:00 Wednesday 25 March.

Theory Exercises

You should be spending about 7 hours per week on MATH7016. If you have any time left over you should look at Theory exercises in the notes.

  • p.104, Q. 1-2
  • p.105, Q. 1

You can (carefully) take photos of your work (with questions labelled neatly) and submit to the Week 9 Theory Exercises 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.

If you still haven’t spent 7 hours on MATH7016 maybe look at some other theory exercises in the manual. Any and all work will receive feedback.

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MATH7021: Spring 2020, Week 9

March 22, 2020 in MATH7021 | 5 comments

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:

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

 

MATH6040: Spring 2020, Week 8

March 19, 2020 in MATH6040, MATH6040 - Night | 5 comments

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.

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)

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MATH7021: Spring 2020, Week 8

March 18, 2020 in MATH7021 | 4 comments

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.

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

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MATH7016: Spring 2020, Week 7

March 12, 2020 in MATH7016 | 2 comments

DME2C Lab 5: Runge-Kutta

DME2C are invited to do Lab 5: Runge-Kutta remotely.

I have set up an (ungraded) assignment on Canvas that you (DME2C student) can submit your Lab 5 work. After Tuesday 09:00 I will download all the submissions and give feedback on each.

Recall our overall framework for our programmes in MATH7016:

  • Define variables
  • Give initial values
  • Loop that
    • Prints current variables (of interest)
    • Calculates next variables

For Runge-Kutta, as usual there will be an x and y variables, but also a number of k_i variables which represent (estimates of) the slope at various points between the current and next x value.

The loop must calculate the various k_i BEFORE calculating the next x and y values. The next y value is given as:

y_{i+1}=y_i+h\cdot \phi(k_1,\dots,k_n),

where \phi(k_1,\dots,k_n) is a weighted average of the slopes k_i. There is one k for Euler’s Method (slope at previous), two for Heun’s (slope at previous and slope at predicted next), and we also look at ‘Common’ RK3 which uses three k variables, k_1,\,k_2,\,k_3, and ‘Classical’ (state-of-the-art) RK4 which uses four.

All of Lab 5 is to be done in VBA. Problem 4 is missing the formula:

y_{i+1}=y_i+h\cdot \phi(k_1,\dots,k_4),

the relevant formula is on p. 74. Also the sign of the derivative is wrong (and I have the rocket fuel being ejected too quickly… use

\displaystyle\frac{dv}{dm}=-\frac{5}{m}.

DME2C: Concept MCQ 5

I want to keep the (ungraded) MCQ league going — I have pledged €35 of my own cash for first (€20), second (€10), and third (€5), and it would be great to keep it going until the ‘end of the season’. The same three names have been leading the league for a few weeks so maybe they might falter now.

Well anyway, DME2C can enter MCQ5 by emailing me their selection (ABCDDB or whatever) before Tuesday 09:00.

Week 8

Luckily enough from my point of view, because of St Patrick’s Day, I have already recorded lectures for next week.

First watch Goal Seek for Boundary Value Problems (less than 20 minutes).

Then you will be in a position to do Lab 6: Boundary Value Problems.

Between Tuesday 17 March and Monday 23 March, you will be able to submit your work to Canvas, from which I will give you individual feedback.

After this watch the rest of the first playlist, watch Intro to PDEs (less than 20 minutes), and then watch the Derivation of the Laplace Equation (40 minutes).

I will also send on an MCQ6 to keep the league going.

Week 7

In the Tuesday 09:00 class we had Written Assessment 1.

The lab was based on Runge Kutta methods.

In the 12:00 lecture we did a (written) Shooting Method example.

In VBA we will also have MCQ V.

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MATH7021: Spring 2020, Week 7

March 12, 2020 in MATH7021 | 2 comments

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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MATH6040: Spring 2020, Week 7

March 11, 2020 in MATH6040, MATH6040 - Night | 2 comments

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

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