*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.”

As outlined in an announcement:

This test is worth25%and will become available at 19:30 Tuesday 14 April, at which point you may download the question paper.

You will be asked to write down your answers, carefully labeling parts. The assessment runs from 19:30 to 20:30. The assessment is designed to be completed in30 minutes, and there is a very generous 15 minutes allocated to submitting your work to Canvas. There is an additional15 minutes graceperioddue to the remote nature of this assessment. Therefore you have until 20:30 to submit your work on Canvas. You can use the hour however you want but no submissions will be accepted after 20:30.

There exists a Summer MATH6040 exam paper, and the test consists precisely of the Matrices question on that exam. Hence why the test is designed to take 30 minutes.

I will have more practical advice in next week’s announcement, for now focus on learning.

Here is some video (33 minutes) of me doing the Matrices exam question on p.223-224 of the manual. The best thing for revision would be to look at Matrices exercises in the manual. These can be found on p.73, 77, 80, 86, 92, 102; and you will want to be comfortable with all the statements in the Chapter Summary on p.105.

Any work you do can be submitted to Matrices Revision Exercises by Easter Saturday and will receive feedback Easter Sunday.

This ‘assignment’ has a due date of Easter Saturday. I have chosen this date so that you receive your feedback two days before the assessment.

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.

Further exercises may be found under the CIT Exam Papers portal, under MATH6040, under MATH.

If you 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 you do can be submitted via Canvas email.

If you are prepared for the Matrices assessment, and all caught up on the other learning, and you want to frontload your learning, there are about 53 minutes of lectures here. You should schedule about 1.5 hours to watch them and take the notes in your manual. You need this extra time above 53 minutes because you will want to pause me.

- Complete the Square for Antidifferentiation (26 minutes)
- Complete the Square: Example (15 minutes)
- Work by a Variable Force (13 minutes)

If you have any time left (ideally you should aim to spend 7 hours per week on MATH6040 over the course of the semester) you can try the following

- p.190, Q. 1-7
- p.193, Q. 1-5

These can be submitted to Easter Week 1 Exercises by midnight Wednesday 15 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.

As outlined in an announcement:

PROVISIONAL 60 minute, 25% Further Differentiation Test, 19:30 Tuesday 28 April 2020

This test will examine Chapter 3. A Summer 2020 paper was written, and this test will comprise of Q. 3 from that exam. The question comprises 25% of that exam, and that translates to 30 minutes of exam time. I will extend this to 45 minutes and allow 15 minutes to upload.

If you have not yet done so, you will be advised to undertake the Week 8 and Week 9 learning, and also take a look at the video for the derivative of inverse sine.

I plan to have a video of me doing the Differentiation exam question on p. 224-224 of the manual.

You will be advised to do Differentiation exercises in the manual. These can be found on p. 111, 123, 128, 136, 151, 157; and you will want to be comfortable with all the material in the Chapter Summary on p.160-1.

You will be invited to submit any work you do for feedback. I may have two due dates. Perhaps Sunday 19 April and Saturday 25 April.

If you have time, you will be advised to catch up on Week 10, and Easter Week 1.

There will be a final tranch of lectures. Perhaps about one hour’s worth and you will be invited to do exercises.

*The remaining plans are provisional. No more new material from here.*

Will consist of more differentiation revision, and catch up.

Provisionally, the 25% Differentiation Assessment will take place on Tuesday evening. After this you will be invited to catch up on integration (Week 10, Week Easter 1, Week Easter 2). I will do a video based on Q. 4, on p.226 of your manual.

Focus on integration.

Provisionally, the 25% Integration Assessment will take place Tuesday evening 12 May. After this you will be invited to do revision on Vectors. I will do a video based on Q. 1, on p.222 of your manual.

Provisionally, the 10% Vectors Assessment will take place Tuesday evening 19 May.

]]>

*We have now covered all the material, and my focus at this time is to support your learning through the remaining assessment.*

*If you have completed the learning tasks, and submitted Labs 6, 7, and 8, you should be in a good position to complete the remaining assessment.*

*However if this is not the case for you, it is not too late to get on top of all the material.*

*The first assessment will take place 11:00 Tuesday 14 April 2020 and is based on Lab 6. The other assessment are provisionally set for 28 April (based on Lab 7), and 12 May (based on Lab 8). The following plan is designed around these. *

*Especially if you have put in the hours over the last three weeks (inclusive), the demand on your time in terms of MATH7016 is now greatly diminished, but this plan also allows those who have not yet had a chance to engage in remote learning to begin. *

*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.”

If you have watched the Week 10 lectures, you should be able to do the final MCQ, MCQ VIII.

Submit your answers here before 09.00 Wednesday 8 April.

If you have not yet done so, undertake the learning described under Week 8 here. You may submit your Lab 6 to the UNGRADED Lab 6 Revision assignment on Canvas.

This ‘assignment’ has a due date of Easter Saturday. I have chosen this date so that you receive your feedback two days before the assessment.

If you have already conducted this learning, and submitted a Lab 6 either back before 23 March, or after, I would invite you, if necessary, to take on board the feedback I gave to that submission, and resubmit a corrected version for further feedback.

If you feel like doing even more theory work on top of this, consider looking at the following exercises:

- p.59, Q. 1-3
- p.90, Q. 1-3

These can be submitted to UNGRADED Lab 6 Theory Exercises by Easter Saturday and will receive feedback Easter Sunday. 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.

This test is worth **20%** and will become available at 11:00 Tuesday 14 April, at which point you may download the student-number-individualised question paper.

You will be asked to write a program. The assessment runs from 11:00 to 12:30. The assessment is designed to be completed in **45 minutes**, and there is a very generous 15 minutes allocated to submitting your work to Canvas. There is an additional **30 minutes grace ****period** due to the remote nature of this assessment. Therefore you have until 12:30 to submit your work on Canvas. You can use the 90 minutes however you want but no submissions will be accepted after 12:30.

*The remaining plans are provisional.*

If you have not yet done so, you will undertake the learning described in Week 9. You will be able to submit your Lab 7 to an UNGRADED Lab 7 Revision assignment on Canvas.

I may have two due dates. Perhaps Sunday 19 April and Saturday 25 April.

If you have already conducted this learning, and submitted a Lab 7 either back before 30 March, or after, I will invite you, if necessary, to take on board the feedback I gave to that submission, and resubmit a corrected version for further feedback.

If you feel like doing even more theory work on top of this, you will be asked to consider looking at the theory exercises described in Week 9.

If you have not yet done so, you will undertake the learning described in Week 10. You will be able to submit your Lab 8 to an UNGRADED Lab 8 Revision assignment on Canvas.

I may have two due dates. Perhaps Sunday 3 May and Saturday 9 May.

If you have already conducted this learning, and submitted a Lab 8 either back before 6 April, or after, I will invite you, if necessary, to take on board the feedback I gave to that submission, and resubmit a corrected version for further feedback.

If you feel like doing even more theory work on top of this, you will be asked to consider looking at the theory exercises described in Week 10.

]]>

Preprint here.

]]>*I want you to know from the perspective of MATH7016 that I am in daily communication with my Head of Department about a plan for your assessment. This has to be done properly, and indeed my HoD is helping me improve my plan.*

*Once the plan for the MATH7016 assessment is settled from my end, this will have to be integrated with all your other assessment.*

*This is why I have not been able to be definitive about remaining assessment. Trust however that as soon as concrete plans are in place these will be communicated to ye. There is no point in me speculating about assessment when all the ducks are not yet in a row.*

*My advice for the moment, for MATH7016 at least, is to focus at this time on learning rather than assessment.*

*This means my recommendation is, as far as MATH7016 is concerned, is to spend 7 hours a week on your learning.*

*Trust that whatever plan is devised for your MATH7016 assessment, it will put your needs first.*

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

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

There are about 82 minutes of lectures. You should schedule 2 hours and 10 minutes 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.

- Derivation of Heat Equation (26 minutes)
- Finite Differences for the Heat Equation (29 minutes)
- Heat Equation Finite Differences Example I (11 minutes)
- Heat Equation Finite Differences Example II (16 minutes, continued from above, the dog interrupted)

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.

AFTER watching the lectures above, you should be able to do Lab 8 on p. 112.

Between now and Monday 6 April, you will be able to submit your work to Canvas, from which I will give you individual feedback. After 09:00 Tuesday 7 April I will download all student work and reply with feedback.

After watching the lectures above, you should be able to do the final MCQ, MCQ VIII.

Submit your answers here before 09.00 Wednesday 8 April.

You can still do MCQ7 if you have not yet done so. Submit your answers here before 10:00 Wednesday 1 April.

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.111, Q. 1-2,
- p.113, Q. 4

If you still have not spent 7 hours I recommend looking back at:

- p.90, Q. 1-3

You can (carefully) take photos of your work (with questions labelled neatly) and submit to the Week 10 Theory Exercises 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.

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.

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

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

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.

*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.

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

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

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.

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

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

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.

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.

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.

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

One hour and any remaining time on Assessment 2.

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

One hour and any remaining time on Assessment 2.

I will go over the Summer 2019 Exam Paper. This video may be of the order of 3 hours.

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

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

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

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)

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

*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.

*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.

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.

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

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

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.

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

]]>If you have completed the tasks outlined in the Week 7 summary, you can now begin on the below.

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.

- Laplace’s Difference Equation (26 minutes)
- Mean Value Property (12 minutes)
- Laplace’s Difference Equation Examples (29 minutes)
- Laplace’s Equation Irregular Boundary (9 minutes)
- Calculating Heat Flux Density (7 minutes)

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.

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.

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.

*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.

Perhaps of the order of 1.5 hours of lectures on the Heat Equation. We will then be finished the lecture material.

The final lab is on p.112. We will then be finished the labs.

There will be a final Concept MCQ. BIG MONEY.

There will be some of these too.

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

]]>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)

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.

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.

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

Same as Week 9.

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

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

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

I will go over the Summer 2019 Exam Paper. This video may be of the order of 3 hours.

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

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

]]>

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.

*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.

*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)

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.

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.

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

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

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.

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

]]>