Week 6

Lectures

Very little by way of lectures this week, so that you can put the bulk of your time towards catching up on Chapter 2

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. 

Assuming you have a handle on the exercises from Week 4 and Week 5 you can try:

  • p. 84, Q.1-3
  • p.94, Q. 1-6

Additional Exercises: p. 96, Q. 1-10

Submit work for Canvas feedback by Sunday 7 March for video feedback after Monday 8 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.

Matrices Test — Week 8, 19:30 16 March

The open-book assessment will be designed to be done in about 45 minutes, however you will be given one hour to complete the assignment along with an additional 15 minutes to upload your work. 45 minutes means about one and a half exam questions (see MATH6040 matrices questions (Links to an external site.) ( (usually matrices are Q. 2, sometimes Q. 1)) to get an idea of how long one exam question is). Please contact me if the timing is an issue.

The assessment is based on Chapter 2. There will be five questions broken into parts (a), (b), and (c). Some/most of the part (c)s should be easier than in the Vectors Test. Some of the part (a)s will be a little harder.

Additional practise questions (beyond the manual) may be found by looking at past MATH6040 exam papers (Links to an external site.).

Academic Dishonesty will not be accepted and suspected breaches, such as communication with others during the assessment, will be pursued in line with this policy (Links to an external site.)

We will have a Zoom Tuesday 8 March at 20:00 for any questions that ye would like to ask about this assessment. This tutorial will be recorded in the cloud.

Week 7

We will do a quick revision of differentiation.  If you want to look ahead here are two videos:

Then we will look at Parametric Differentiation.

Outlook

For most students, Chapters 1 and 2 are easier and you will want to do well on them. Things are going to get a little harder for the rest of the semester and you will want to try and do homework regularly.

Assessment Schedule

Week 5 – 25% Vectors Test

Week 8 – 25% Matrices Test (Zoom Tutorial in Week 7)

Week 11  – 25% Differentiation Test (Zoom Tutorial in Week 10)

Week 14 – 25% Integration Test (Zoom Tutorial in Week 13)

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.

25% Vectors Test, 19.30 Tuesday 23 February

This is just repeating some the information from Week 4:

The open-book assessment will be designed to be done in about 45 minutes, but you have an hour and 15 minutes including time for uploading.

The assessment is based on Chapter 1. The questions into parts (a) (easy), (b) (medium), and (c) (hard). You might be advised to do all the parts (a) and (b) first, try and get as close to 70% as possible with those, and then leave the parts (c) to the end. Otherwise you might waste time doing parts (c) when there are easier and more marks available in parts (b) and particularly (a).

Academic Dishonesty will not be accepted and suspected breaches, such as communication with others during the assessment, will be pursued in line with this policy.

We had a Zoom tutorial: it is in the cloud.

Week 5

Lectures

As promised very few lectures so that if you have been a little behind on Chapter 2 already you can catch up after Test 1

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. 

Assuming you are ready for the Vector Assessment, and have a handle on the Week 4 exercises try

p.79, Q.1-4

Additional Exercises: p. 79, Q.5-6

Submit work for Canvas feedback by Sunday 28 February for video feedback after Monday 1 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 6

We will finish Chapter 2 by talking about determinants and Cramer’s Rule.

Outlook

In Week 7 we will start differentiation. For most students, Chapters 1 and 2 are easier and you will want to do well on them. Things are going to get a little harder for the rest of the semester and you will want to try and do homework regularly.

Assessment Schedule

Week 5 – 25% Vectors Test

Week 8 – 25% Matrices Test

Week 11  – 25% Differentiation Test

Week 14 – 25% Integration Test

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 you are supposed to spend seven hours per week on MATH6040: my recommendation is that you watch the lecture material, then spend whatever other time you have for MATH6040 on exercises. It is up to you to decide when you complete learning tasks and timetable yourself. There are three hours of MATH6040 slots on your timetable that you can use if you want. Even with just three hours you should have at least one hour to try and submit exercises for video feedback.

25% Vectors Test, 19.30 Tuesday 23 February

The open-book assessment will be designed to be done in about 45 minutes, however you will be given one hour to complete the assignment along with an additional 15 minutes to upload your work. 45 minutes means about one and a half exam questions (see MATH6040 vectors questions (usually vectors are Q. 1, sometimes Q. 2) to get an idea of how long one exam question is). Please contact me if the timing (19.30 Tuesday 23 February) is an issue.

The assessment is based on Chapter 1. As it is an open book assessment, I have decided to split the questions into parts (a), (b), and (c).

The parts (a) are easy, and worth 40% of the total mark. The parts (b) are of medium difficulty, and are worth 30% of the total mark. The parts (c) are more difficult and worth 30% of the marks. You might be advised to do all the parts (a) and (b) first, try and get as close to 70% as possible with those, and then leave the parts (c) to the end. Otherwise you might waste time doing parts (c) when there are easier and more marks available in parts (b) and particularly (a).

Additional practise questions (beyond the manual) may be found by looking at past MATH6040 exam papers.

Academic Dishonesty will not be accepted and suspected breaches, such as communication with others during the assessment, will be pursued in line with this policy. To make life easier for me in this regard your assessment will be student-number-personalised. In addition by submitting you will be pledging that you will undertake the assessment in good faith.

We will have a Zoom Tuesday 16 February at 20:00 for any questions that ye would like to ask about this assessment. This tutorial will be recorded in the cloud.

Week 4

Lectures

There are 116 minutes of lectures here. You should need about three hours to watch these (I recommend 50% extra time for pausing/rewinding)

Some deeper discussion here: Why do we multiply matrices like we do? Why can’t I divide by zero?

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. 

Assuming you are ready for the Vector Assessment, try

  • p.66, Q. 1-4
  • p.70, Q.1-2
  • p.73, Q.1-3
  • Additional Exercises, p.66, Q.1, p.73, Q.4-5

Submit work for Canvas feedback by Sunday 21 February for video feedback after Monday 22 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

You will have your test. In lectures, we will look at Linear Systems. We won’t do too much so you have time to revise either Chapter 1 or Week 4 exercises.

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 you are supposed to spend seven hours per week on MATH6040: my recommendation is that you watch the lecture material, then spend whatever other time you have for MATH6040 on exercises. It is up to you to decide when you complete learning tasks and timetable yourself. There are three hours of MATH6040 slots on your timetable that you can use if you want. Even with just three hours you should have at least one hour to try and submit exercises for video feedback.

25% Vectors Test, 19.30 Tuesday 23 February

The open-book assessment will be designed to be done in about 45 minutes, however you will be given one hour to complete the assignment along with an additional 15 minutes to upload your work. 45 minutes means about one and a half exam questions (see MATH6040 vectors questions ( (usually vectors are Q. 1, sometimes Q. 2)) to get an idea of how long one exam question is). Please contact me if the timing is an issue.

The assessment is based on Chapter 1. As it is an open book assessment, it is my intention to make the test a little on the hard side (in terms of the questions I can ask from Chapter 1). I hope to have about 40% of the marks going for straightforward/easier stuff, 30% of the marks for slightly harder stuff, and about 30% of the marks will be harder again. That is an intention not a promise.

Additional practise questions (beyond the manual) may be found by looking at past MATH6040 exam papers.

Academic Dishonesty will not be accepted and suspected breaches, such as communication with others during the assessment, will be pursued in line with this policy. To make life easier for me in this regard your assessment will be student-number-personalised. In addition you will be pledging that you

We will have a Zoom Tuesday 16 February at 20:00 for any questions that ye would like to ask about this assessment. This tutorial will be recorded in the cloud.

Week 3

Lectures

There are few lectures this week meaning that you should have time to do and submit exercises. You should need only about an hour and a half to watch these (I recommend 50% extra time for pausing/rewinding)

Work done by a Force (26 minutes)

Moment of a Force (29 minutes)

Vectors Short Summary (5 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. 

Assuming you have the Week 1 and Week 2 exercises done (maybe do these first), try

  • p.44, Q. 1-6
  • Additional Exercises, p.46, Q.7-13

Submit work for Canvas feedback by Sunday 14 February for video feedback after Monday 15 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 start looking at Chapter 2: Matrices. We will some examples of matrix arithmetic and look at Matrix Inverses — “dividing” for Matrices. This will allow us to solve matrix equations.

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.

VBA Assessment 1 – Due 7 March

Hopefully I have designed something in which you can take your time, get things right, get some good marks, and show off what you can do. You are advised to complete VBA Lab 3 first. 

I recommend watching the Week 6 lectures, but perhaps it might suit students to complete VBA Assessment 1 before looking at Week 6 Exercises. Do not let VBA Assessment slide very late as you will need time to prepare for Written Assessment 1. Really you should be looking to complete VBA Assessment 1 a few days before the due date. There is no lab in Week 6 in order to give you more time.

Written Assessment 1 – Week 7

25% Written Assessment 1, based on Weeks 1-5, so everything up to p.73.

It will be a one hour assessment, but I am going to give ye 15 minutes grace, as well as 15 minutes to upload. The test will run therefore from 09.30 to 11.00, Tuesday 9 March. It is open book — you can use your manual, any Canvas materials, as well as Excel/VBA.

40% of the marks will be numerical methods (Euler, TTT, Heun); finding approximations like p.34, Q.1-3, p.37, Q.1-3, p.48, Q.1-4 (non-Excel parts of Q.4), p.60, Q.4-7.

30% of the marks will be numerical analysis; understanding these methods and their errors like p.34, Q. 4, p.38, Q.4-6. p.49, Q.5-8

15% will be neither; like p.17, Q. 1-2, p.40, Q.1-3, p.60, Q.1-3

15% will be Runge-Kutta, like p.72, Q.1-2.

MORE INFO: Added 25 February

Academic Dishonesty will not be accepted and suspected breaches, such as communication with others during the assessment, will be pursued in line with this policy (Links to an external site.)

Week 6

Lectures

There are 61 minutes of lectures. You should schedule about an hour and a half to watch them and take the notes in your manual. You might need this extra time above 61 minutes because you will want to pause me. You should also take note of any confusions you have to ask about in the regular Q & A.

Lab 4

If you have not yet had a chance to look at Lab 4, but have questions, you can submit to Lab 4 Second Chance.

Theory Exercises and Q & A

p.82, Q. 1-3

Q & A to ask about Theory Exercises or anything else every Tuesday 12.30 (waiting room open 12.25).

Week 7

There will not be much in Week 7, just a short lecture on Goal Seek for boundary value problems.

Assessment

This is provisional and subject to change.

  1. Week 6, 25% First VBA Assessment, Based (roughly) on Weeks 1-4
  2. Week 7, 25 % In-Class Written Test, Based (roughly) on Weeks 1-5
  3. Week 11, 25% Second VBA Assessment, Based (roughly) on Weeks 6-9
  4. Week 12, 25% Written Assessment(s), Based on Weeks 6-11

Study

Study should consist of

  • doing exercises from the notes
  • completing VBA exercises

Student Resources

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

VBA Assessment 1 – Due Week 6 (7 March)

Hopefully I have designed something in which you can take your time, get things right, get some good marks, and show off what you can do. You are advised to complete VBA Lab 3 first. 

I recommend watching the Week 5 lectures, but perhaps it might suit students to complete VBA Assessment 1 before looking at Lab 4 and Week 5 Exercises. Do not let VBA Assessment slide very late as you will need time to prepare for Written Assessment 1. Really you should be looking to complete VBA Assessment 1 a few days before the due date. There will be no lab in Week 6 in order to give you more time.

Written Assessment 1 – Week 7

25% Written Assessment 1, based on Weeks 1-5, so everything up to p.73.

It will be a one hour assessment, but I am going to give ye 15 minutes grace, as well as 15 minutes to upload. The test will run therefore from 09.30 to 11.00, Tuesday 9 March. It is open book — you can use your manual, any Canvas materials, as well as Excel/VBA.

40% of the marks will be numerical methods (Euler, TTT, Heun); finding approximations like p.34, Q.1-3, p.37, Q.1-3, p.48, Q.1-4 (non-Excel parts of Q.4), p.60, Q.4-7.

30% of the marks will be numerical analysis; understanding these methods and their errors like p.34, Q. 4, p.38, Q.4-6. p.49, Q.5-8

15% will be neither; like p.17, Q. 1-2, p.40, Q.1-3, p.60, Q.1-3

15% will be Runge-Kutta, like p.72, Q.1-2.

More information about practicalities in Week 6.

Week 5

Lectures

There are 82 minutes of lectures. You could schedule about 2 hours to watch them and take the notes in your manual. You might need this extra time above 82 minutes because you will want to pause me. You should also take note of any confusions you have to ask about in the regular Q & A.

Lab 4

Lab 4 may not be up until 18 February, and can be attempted after watching the lectures above (submission not live until 20 February).

Theory Exercises and Q & A

p.60, Q.1-7

p.72, Q.1-3

Q & A to ask about Theory Exercises or anything else every Tuesday 12.30 (waiting room open 12.25).

Week 6

We will look at boundary value problems (in particular the Shooting Method and Goal Seek).

There will be no lab in order to give you time to complete VBA Assessment 1.

Assessment

This is provisional and subject to change.

  1. Week 6, 25% First VBA Assessment, Based (roughly) on Weeks 1-4
  2. Week 7, 25 % In-Class Written Test, Based (roughly) on Weeks 1-5
  3. Week 11, 25% Second VBA Assessment, Based (roughly) on Weeks 6-9
  4. Week 12, 25% Written Assessment(s), Based on Weeks 6-11

Study

Study should consist of

  • doing exercises from the notes
  • completing VBA exercises

Student Resources

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

VBA Assessment 1 – Week 6

Hopefully I have designed something in which you can take your time, get things right, get some good marks, and show off what you can do.  Information on Written Assessment next week.

Week 4

Lectures

There are 84 minutes of lectures. You could schedule about 2 hours to watch them and take the notes in your manual. You might need this extra time above 84 minutes because you will want to pause me. You should also take note of any confusions you have to ask about in the regular Q & A.

The Q&A is dedicated to answering questions but do not hesitate to contact me with questions at any time. My usual modus operandi is to answer emails every morning.

Lab

Once you have watched the lectures you should attempt VBA Lab 3.

Theory Exercises and Q & A

p.48, Q. 1-5

Additional Exercises:

p. 48, Q.5-8

Q & A to ask about Theory Exercises or anything else every Tuesday 12.30 (waiting room open 12.25).

Q&A II Slides  

Week 5

We will continue looking at second order differential equations and how to attack them numerically.

We will begin a quick study of Runge-Kutta Methods.

In VBA we will look at Lab 4, on Second Order Initial Value Problems.

Assessment

This is provisional and subject to change.

  1. Week 6, 25% First VBA Assessment, Based (roughly) on Weeks 1-4
  2. Week 7, 25 % In-Class Written Test, Based (roughly) on Weeks 1-5 (notice in Week 5)
  3. Week 11, 25% Second VBA Assessment, Based (roughly) on Weeks 6-9
  4. Week 12, 25% Written Assessment(s), Based on Weeks 6-11

Study

Study should consist of

  • doing exercises from the notes
  • completing VBA exercises

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 MATH7016. My recommendation is that you watch the lecture material, then complete the lab, and if there is any time left over do the suggested theory exercises.

It is up to you to decide when you complete learning tasks and timetable yourself. There are four hours of MATH7016 slots on your timetable but remember that half an hour is taken up with the weekly Q&A. Learners should decide for themselves whether the weekly Q&A is helping their learning.

Week 3

Lectures

There are 79 minutes of lectures. You could schedule about 2 hoursto watch them and take the notes in your manual. You might need this extra time above 79 minutes because you will want to pause me. You should also take note of any confusions you have to ask about in the regular Q & A.

The Q&A is dedicated to answering questions but do not hesitate to contact me with questions at any time. My usual modus operandi is to answer emails every morning.

Lab

Once you have watched the lectures you should attempt VBA Lab 3.

Theory Exercises and Q & A

p.37, Q.1-4

p.40, Q.1-3

Additional Exercises:

p. 38, Q.5-6

Q & A to ask about Theory Exercises or anything else every Tuesday 12.30 (waiting room open 12.25).

Week 4

We can avoid implicit differentiation by looking at Huen’s Method, which is an adjustment of Euler’s Method in that it uses lines.

We will also introduce second order differential equations and how to attack them numerically.

In VBA we will look at Lab 3, on Heun’s Method.

Assessment

This is provisional and subject to change. Notice for the first assessment will be in Week 4

  1. Week 6, 25% First VBA Assessment, Based (roughly) on Weeks 1-4
  2. Week 7, 25 % In-Class Written Test, Based (roughly) on Weeks 1-5
  3. Week 11, 25% Second VBA Assessment, Based (roughly) on Weeks 6-9
  4. Week 12, 25% Written Assessment(s), Based on Weeks 6-11

Study

Study should consist of

  • doing exercises from the notes
  • completing VBA exercises

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:

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.

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