J.P. McCarthy: Math Page

Assessment Corrections

Have finally been completed. Please check your grade and if you have any queries please don’t hesitate to email me.

Assessment 4

Written Assessment 2 will not be entirely unlike Written Assessment 1. The Week 12 Zoom will be Monday 26 April 15:00 instead of Tuesday 27 April.

25% Written Assessment 1, based on Weeks 6-10, so everything from p.74 to 106.

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 27 April. It is open book — you can use your manual, any Canvas materials, as well as Excel/VBA.

40% of the marks will be for Section 1.9

30% of the marks will be for Section 2.1

40% of the marks will be for Section 2.2

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.) (Links to an external site.). 

Week 10

Lectures

• Heat Equation I (Links to an external site.) (19 minutes)
• Heat Equation II (Links to an external site.) (36 minutes)

 This (Links to an external site.) explains the connection between the Heat Equation and the Jacobi Method approximations to the Laplace Equation

There is a longer, more in-person (old, last year) version of the above material. How different they are I am not too sure.

• Derivation of Heat Equation (Links to an external site.) (26 minutes)
• Finite Differences for the Heat Equation (Links to an external site.) (29 minutes)
• Heat Equation Finite Differences Example I (Links to an external site.) (11 minutes)
• Heat Equation Finite Differences Example II (Links to an external site.) (16 minutes, continued from above, the dog interrupted)

Theory Exercises and Q & A

Q&A on Tuesday 13 April as normal: p.104, Q.1-3

Week 11

No more lectures, no more labs: you will focus on VBA Assessment 2. Q&A on Tuesday.

Week 12

No more lectures, no more labs: you will focus on Written Assessment 2. Q&A on Monday.

Study

Study should consist of

• doing exercises from the notes
• completing VBA exercises

Student Resources

Please see Student Resources  download  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.

Assessment Corrections

I cannot promise at this point when these will be completed. It is my intention to have these corrected before the end of Week 9. Watch this space.

Assessments 3 and 4

I will give proper notice for VBA Assessment 2 by the end of Week 9 and for Written Assessment 2 during Easter.

Week 9

Lectures

• Laplace’s Difference Equation I (21 minutes)
• Laplace’s Difference Equation II (22 minutes)
• Heat Flux Density (4 minutes)

There is a longer, more in-person (old, last year) version of the above material: 

• 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)

Lab 7

See VBA Lab 7

Theory Exercises and Q & A

Q&A on Tuesday as normal:

p.97, Q. 1,2 and p. 98 exercises

Week 10

I have linked here to last year’s videos but will be recording fresh videos. How different they will be I am not too sure.

• 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)

Outlook

Week 11 and 12

Lectures

None. Perhaps additional tutorial time in Week 11 for Written Assessment in Week 12.

Labs

We will do our last lab, Lab 8 in Week 10. VBA Assessment 2 in Week 11.

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 6-10

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..

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.