Category Archive

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 five examples, and had 15 minutes of tutorial time.

Gaussian Elimination Tutor

If you download Maple (see Student Resources), there is a Maple Tutor that is easy to use and will help you with Gaussian Elimination. Open up Maple and go to Tools -> Tutors -> Linear Algebra -> Gaussian Elimination.

Week 2

We will finish the Gaussian Elimination examples on Monday, and maybe begin to look at applications of linear systems to traffic and pipe flow.

We will have a tutorial on Wednesday.

Assignment 1

Assignment 1 has a (provisional) hand-in date of  Thursday 24 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.

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc..

You have to put time to work on Chapter 3:

1. because without doing so you could be very, very lost on 35% Assignment 3, and
2. because if you are going into Level 8 Structural Engineering it will be assumed that you are competent with the Chapter 3 material

Assignment 1 & 2 Corrections

These have finally been released. Apologies for the delay. Any queries do not hesitate to contact me.

Week 10

Lectures

No lectures: all MATH7021 time to be invested into Chapter 3 and Assignment 3. See Week 11, below, if you have completed Assignment 3 and are hoping to look ahead.

Exercises

As I send this, there are two slots for feedback over Easter with deadlines of today, 5 April, for feedback, tomorrow, 6 April, and 12 April for feedback 13 April.

If you are up to date on the Week 7 exercises, put some time into:

• p.127, Q.1-11

Additional exercises p.130, Q.12-19.

Submit work for Canvas feedback by Monday 19 April for video feedback after Tuesday 20 March.

Weeks 11 and 12

Weeks 11 and 12 will be given over to Chapter 4. Perhaps of the order of 2 hours of lectures on Double Integrals (Links to an external site.) in Week 11 and of the order of 2 hours of lectures on Triple Integrals (Links to an external site.). Students who have already submitted Assignment 3 can look at the old lectures. The material is exactly the same… for the sake of of doing honest work I will be rerecording for Weeks 11 and 12, but if you want to get ahead you can watch these:

Week 11:

• Revision of Concept of Integration (Links to an external site.) (24 minutes)
• Concept of Double Integration (Links to an external site.) (23 minutes)
• Double Integral Examples (Links to an external site.) (29 minutes)
• Polar Coordinates for Double Integrals (Links to an external site.)  (20 minutes)
• Double Integrals over Circular Regions: Examples (Links to an external site.) (13 minutes)

Week 12:

• Integration over a 3D Box (Links to an external site.) (12 minutes)
• Integration over a Cylinder (Links to an external site.) (15 minutes)

Re: Section 3.5 Systems of Differential Equations (Links to an external site.); important for next year, won’t be examined this semester but will get ye the notes and lectures before the end of year (so as to have them as a reference for next year).

Assignments

35% Assignment 1 on Chapter 1 — due end of Week 5, 28 February.

15% Assignment 2 on Chapter 2 — due end of Week 7, Sunday 14 March

35% Assignment 3 on Chapter 3 — due end of Week 11, Sunday 25 April will be released soon

15% Assignment 4 on Chapter 4 — due end of Week 13/14/15, (7/14/21 May) tbd

Student Resources

Please see Student Resources (Links to an external site.) for information on the Academic Learning Centre, etc.

You have to put regular time to work on Chapter 3:

1. because without doing so you could be very, very lost on 35% Assignment 3, and
2. because if you are going into Level 8 Structural Engineering it will be assumed that you are competent with the Chapter 3 material

You need to get cracking on Chapter 3.

Assignment 1 & 2 Corrections

I am experiencing a hardware issue at the moment and it is making it difficult to get corrections done.. My promise is to complete corrections of both Assignment 1 and Assignment 2 before the end of Week 9. Sorry for the delay.

Week 9

Lectures

No lectures in Week 9. If you are behind please put big time into Chapter 3, catching up.

Exercises

If you are up to date on the Week 7 exercises, put some time into:

• p.127, Q.1-11

Additional exercises p.130, Q.12-19.

Submit work for Canvas feedback by Monday 29 March for video feedback after Tuesday 30 March.

Outlook

In Week 10 you will also spend all your time doing Chapter 3 Exercises/Assignment 3. It is my intention to continue providing learning support throughout the Easter break.

Section 3.5 Systems of Differential Equations. is important for next year but I have messed up and so it will not be examined. I will record lectures and fill in the notes for ye though during Easter once I am caught up on corrections.

Weeks 11 and 12 are given over to Chapter 4. Perhaps of the order of 2 hours of lectures on Double Integrals in Week 11 and of the order of 2 hours of lectures on Triple Integrals. If I see that students have submitted Assignment 3 early I may record these earlier than Weeks 11 and 12 (or student could look at the old lectures, the ones that say “integrals” here)

Assignments

35% Assignment 1 on Chapter 1 — due end of Week 5, 28 February.

15% Assignment 2 on Chapter 2 — due end of Week 7, Sunday 14 March

35% Assignment 3 on Chapter 3 — due end of Week 11, Sunday 25 April will be released soon

15% Assignment 4 on Chapter 4 — due end of Week 13/14/15, (7/14/21 May) tbd

Student Resources

Please see Student Resources for information on the Academic Learning Centre, etc.

You have to put regular time to work on Chapter 3:

1. because without doing so you could be very, very lost on 35% Assignment 3, and
2. because if you are going into Level 8 Structural Engineering it will be assumed that you are competent with the Chapter 3 material

You need to get cracking on Chapter 3.

Assignment 1 & 2 Corrections

I realise that ye are still waiting for these. Hopefully ye will not be waiting too long for these but I am not in a position to make any promises at this point.

Week 8

Lectures

You could need about an hour and three quarters to watch these:

• Laplace Transforms for ODEs II (26 minutes)
• Laplace Transforms for ODEs III (29 minutes)
• Laplace Transforms for ODEs IV (15 minutes)

Exercises

If you are up to date on the Week 7 exercises, put some time into:

• p.127, Q.1-11

Additional exercises p.130, Q.12-19.

Submit work for Canvas feedback by Monday 22 March for video feedback after Tuesday 23 March.

Outlook

In Weeks 9 and 10 you spend all your time doing Chapter 3 Exercises/Assignment 3. This is actually four weeks with the Easter break — and it is my intention to continue providing learning support throughout the Easter break.

Section 3.5 Systems of Differential Equations. is important for next year but I have messed up and so it will not be examined. I will record lectures and fill in the notes for ye though.

Weeks 11 and 12 are given over to Chapter 4. Perhaps of the order of 2 hours of lectures on Double Integrals in Week 11 and of the order of 2 hours of lectures on Triple Integrals. If I see that students have submitted Assignment 3 early I may record these earlier than Weeks 11 and 12.

Assignments

35% Assignment 1 on Chapter 1 — due end of Week 5, 28 February.

15% Assignment 2 on Chapter 2 — due end of Week 7, Sunday 14 March

35% Assignment 3 on Chapter 3 — due end of Week 11, Sunday 25 April will be released soon

15% Assignment 4 on Chapter 4 — due end of Week 13/14/15, (7/14/21 May) tbd

Student Resources

Please see Student Resources for information on the Academic Learning Centre, etc.

You have to put regular time to work on Chapter 3:

1. because without doing so you could be very, very lost on 35% Assignment 3, and
2. because if you are going into Level 8 Structural Engineering it will be assumed that you are competent with the Chapter 3 material

You need to finish off Chapter 2 and Assignment 2 ASAP (only worth 15%) and then get cracking on Chapter 3.

Week 7

Lectures

You could need three hours to watch these 115 minutes lectures:

• Partial Fractions III (24 minutes)
• Inverse Laplace Transforms I (28 minutes)
• Inverse Laplace Transforms II (38 minutes)
• Inverse Laplace Transforms III (11 minutes)
• Laplace Transforms for ODEs I (14 minutes)

Exercises

You need to finish off Assignment 2 and then start looking at Chapter 3 Exercises:

• p.105
• p.115, Q. 1-5

Additional Exercises: p116, Q.6-7

Submit work for Canvas feedback by Monday 15 March for video feedback after Tuesday 16 March.

Outlook

Week 8 we are going to finish off the material for Assignment 3.

Then in Weeks 9 and 10 you spend all your time doing Chapter 3 Exercises/Assignment 3. This is actually four weeks with the Easter break — and it is my intention to continue providing learning support throughout the Easter break.

Weeks 11 and 12 are given over to Chapter 4.

Assignments

35% Assignment 1 on Chapter 1 — due end of Week 5, 28 February.

15% Assignment 2 on Chapter 2 — due end of Week 7, Sunday 14 March

35% Assignment 3 on Chapter 3 — due end of Week 11, Sunday 25 April will be released when ye have enough material to complete

15% Assignment 4 on Chapter 4 — due end of Week 13/14/15, (7/14/21 May) tbd

Student Resources

Please see Student Resources for information on the Academic Learning Centre, etc.

Things are getting very serious now as we start Chapter 3. If you are not putting the time into MATH7021 on Chapter 3 you are going to find yourself way behind and digging yourself into a hole. You have to find regular time to work on Chapter 3. It is my intention to have two hours of Chapter 3 every week until we finish it, and then there are going to be some time where you will be doing Chapter 3 exercises. It is absolutely vital that you put this time into Chapter 3:

1. because without doing so you could be very, very lost on 35% Assignment 3, and
2. because if you are going into Level 8 Structural Engineering it will be assumed that you are competent with the Chapter 3 material

Week 6

Lectures

You could need three hours to watch these two hours of lectures:

• Laplace Transforms Intro (25 minutes)
• Laplace Transforms of Elementary Functions (15 minutes)
• First Shift Theorem and Derivatives (19 minutes)
• Partial Fractions I (30 minutes)
• Partial Fractions II (29 minutes)

Exercises

You should work on Chapter 4. Make sure to properly (page and question) label any submitted work.

Submit work for Canvas feedback by Monday 8 March for video feedback after Tuesday 9 March. Ideally you don’t submit work that you are certain is correct, but instead submit work you need help and feedback with. 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 7

We will crack further into Chapter 3.

Assignments

35% Assignment 1 on Chapter 1 — due end of Week 5, 28 February.

15% Assignment 2 on Chapter 2 — due end of Week 7, will be released Sunday 28 February

35% Assignment 3 on Chapter 3 — due end of Week 11, will be released when ye have enough material to complete

15% Assignment 4 on Chapter 4 — due end of Week 13/14/15, tbd

Student Resources

Please see Student Resources for information on the Academic Learning Centre, etc.

Students… I am an idiot… it appears I accidentally overwrote the Week 5 announcement. 

The lectures for Week 5 are here, here, and here.

In theory (see Learner Workload) you are supposed to spend seven hours per week on MATH7021: my recommendation is that you watch the lecture material, then spend whatever other time you have for MATH7021 on exercises, and assignments if you are ready for them. It is up to you to decide when you complete learning tasks and timetable yourself. There are four hours of MATH7021 slots on your timetable that you can use if you want.

Week 4

Lectures

You should need about two hours to watch these

• Method of Undetermined Coefficients Theory II (39 minutes)
• Undetermined Coefficients: Non-Homogeneous (28 minutes)
• Undetermined Coefficients: Non-Homogeneous II (16 minutes)

Exercises

How much time you put into homework is up to you: of course the more time you put in the better but we all have competing interests. You might want to complete Assignment 1, or submit more Chapter 1 exercises for feedback, before doing Chapter 2 exercises.

• p.62, Q. 1-2
• p.70, Q. 1-7

Submit work for Canvas feedback by Monday 22 February for video feedback after Tuesday 23 February. Ideally you don’t submit work that you are certain is correct, but instead submit work you need help and feedback with. 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 5

We will finish Chapter 2.

15% Assignment 2

Based on Chapter 2, should be available some time in Week 4, for submission in Week 7.

Study

Please feel free to ask me questions about the exercises via email. I answer emails every morning seven days a week.

Student Resources

Please see Student Resources for information on the Academic Learning Centre, etc.

In theory (see Learner Workload) you are supposed to spend seven hours per week on MATH7021: my recommendation is that you watch the lecture material, then spend whatever other time you have for MATH7021 on exercises. It is up to you to decide when you complete learning tasks and timetable yourself. There are four hours of MATH7021 slots on your timetable that you can use if you want.

As soon as I send this I am putting the finishing touches to your first assessment — it might be here by tomorrow, Wednesday 3 February.

Week 3

Lectures

You should need about two hours to watch these

Temperature of a Plate: Jacobi Method (34 minutes)

If you want a deep dive into the temperature of a plate stuff there is a post here which explains — in great detail — how the ‘iterations’ are actually physically meaningful.

Intro to Method of Undetermined Coefficients (24 minutes)

Method of Undetermined Coefficients: Theory (24 minutes)

Exercises

How much time you put into homework is up to you: of course the more time you put in the better but we all have competing interests. Please feel free to ask me questions about the exercises: you may want to put time into the Week 1 and 2 exercises if you did not do so previously.

• p.55, Q. 1-4

Submit work for Canvas feedback by Monday 15 February for video feedback after Tuesday 16 February. Ideally you don’t submit work that you are certain is correct, but instead submit work you need help and feedback with. 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 4

We will go deeper into Chapter 2

35%  Assignment 1

Should be released Wednesday 3 February.

Study

Please feel free to ask me questions about the exercises via email. I answer emails every morning seven days a week.

Student Resources

Please see Student Resources for information on the Academic Learning Centre, etc.

In theory (see Learner Workload) you are supposed to spend seven hours per week on MATH7021: my recommendation is that you watch the lecture material, then spend whatever other time you have for MATH7021 on exercises. It is up to you to decide when you complete learning tasks and timetable yourself. There are four hours of MATH7021 slots on your timetable that you can use if you want.

Week 2

Lectures

You should need about two and half hours to watch these

Gaussian Elimination IV (34 minutes)

Gaussian Elimination V (14 minutes)

Linear Systems: Traffic Flow (30 minutes)

Linear Systems: Pipe Network (22 minutes)

Latest annotated notes here.

Exercises

How much time you put into homework is up to you: of course the more time you put in the better but we all have competing interests. Please feel free to ask me questions about the exercises. 

• p.30, Q. 1-11 (you might have some of these done in Week 1)
• p.42, Q. 1-3
• p.48, Q. 1-3
• Additional Exercises, p.33, Q. 12-22

Submit work for Canvas feedback by Monday 8 February for video feedback after Tuesday 9 February. Ideally you don’t submit work that you are certain is correct, but instead submit work you need help and feedback with. 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 3

We will finish Chapter 1 and make a start to Chapter 2.

35%  Assignment 1

Watch this space — I might release it before I have a definite due date.

Study

Please feel free to ask me questions about the exercises via email. I answer emails every morning seven days a week.

Student Resources

Please see Student Resources for information on the Academic Learning Centre, etc.