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## 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 four examples, but had no 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 have tutorial time on Monday, then finish the Gaussian Elimination examples on Wednesday, and maybe begin to look at applications of linear systems to traffic and pipe flow.

## Assignment 1

Assignment 1 has a (provisional) hand-in date of Thursday 23 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..

## Student Feedback

If you would like to give fully anonymous feedback on this module and my teaching please go here.

## Assignment 2 – Corrections

I am promising these be ready for 09:00 Thursday 28 April and ye can look at your hand-ups in class.

## Week 12

On Monday we looked at triple integration. Then we had tutorial time on Wednesday and Thursday.

On Wednesday ye had a chance to look at your Assignment 1. Here are some remarks on Assignment 1:

## Week 13, Review Week

We will go through an exam paper, answer questions, and have tutorial time as appropriate. The Monday is a bank holiday.

## 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..

## Student Feedback

If you would like to give fully anonymous feedback on this module and my teaching please go here.

## Assignment 2 – Hard Copy Hand Up

SoStudents have submitted a digital copy of their assignment (and so have submitted on time) but have not given me a hard copy. If you have a hard copy (and not under ferocious pressure with your presentations), please bring it to A285 tomorrow Friday 8 April between 08:40 and 10:30.

## Week 11

On Monday and Wednesday we continued to work on double integration. Between Wednesday and Thursday we completed example 2 on p.189.

People who have not watched the systems of ODE lecture on YouTube should do so.

There is also an abstract whiteboard YouTube lecture here.

We had maybe an hour and a half of tutorial time looking at systems of odes/double integration.

## Week 12

On Monday we will work on triple integration. If needs be we will finish this material on Wednesday.

It is my plan also to give ye a look at your Assignment 1 and possibly your Assignment 2 if I have them corrected. Here are some remarks on Assignment 1:

The rest of the week’s classes will be tutorials.

## Week 13, Review Week

We will go through an exam paper, answer questions, and have tutorial time as appropriate. The Monday is a bank holiday.

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

## Student Resources

## Assignment 2

Assignment 2 has a hand-in time and date of 11:00 6 April. Assignment 2 is in the manual. You need to get on this prompto.

## Week 10

On Monday we started the final chapter.

But then we will had three classes of tutorials on Laplace transforms… and four if you made the extra tutorial.

## Week 11

On Monday we will continue to work on double integration. If needs be we will finish this material on Wednesday.

The rest of the week’s classes will be tutorials on Laplace transforms and systems of odes.

## Week 12

On Monday we will work on triple integration. If needs be we will finish this material on Wednesday.

The rest of the week’s classes will be tutorials.

## Week 13, Review Week

We will go through an exam paper, answer questions, and have tutorial time as appropriate. The Monday is a bank holiday.

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

## Student Resources

## Extra Tutorial

There will be another extra tutorial in room **B180**:

- 13:00-14:00, Tuesday 29 March, Week 10

## Assignment 2

Assignment 2 has a hand-in time and date of 11:00 6 April. Assignment 2 is in the manual. You should now make a start on this.

## Week 9

The week started badly with myself getting the covid. You were instructed to watch this:

Systems of ODEs (Links to an external site.).

My colleagues Dr Mark Hartnett and Declan Manning covered the four tutorials and hopefully ye learned plenty in those.

## Week 10

On Monday we start the final chapter.

But then we will have three classes of tutorials on Laplace transforms… and four if you can make the extra tutorial. Students who are ready for Assignment 2 (due Week 11) can start working on systems of equations.

## Week 11

On Monday we will work on double integration. If needs be we will finish this material on Wednesday.

The rest of the week’s classes will be tutorials.

## Week 12

On Monday we will work on triple integration. If needs be we will finish this material on Wednesday.

The rest of the week’s classes will be tutorials.

## Week 13, Review Week

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

## Student Resources

## Extra Tutorials

There will be two extra tutorials in room **B180**:

- 13:00-14:00, Tuesday 22 March, Week 9
- 13:00-14:00, Tuesday 29 March, Week 10

## Assignment 2

Assignment 2 will have a hand-in time and date of 11:00 6 April. Assignment 2 is in the manual. You can now make a start on this (or probably after some tutorial time).

## Week 8

On Monday, we applied Laplace methods to ordinary differential equations.

On Wednesday we finished off that section and then had some tutorial time.

Then we were disrupted by no double class on Thursday… but these classes are being made available to you as per the above.

## Week 9

On Monday, we will work on Systems of Equations.

But then we will have three classes of tutorials on Laplace transforms… and four if you can make the extra tutorial.

## Week 10

On Monday we will finish talking about systems of equations, and possibly start the final chapter.

But then we will have three classes of tutorials on Laplace transforms… and four if you can make the extra tutorial. Students who are ready for Assignment 2 (due Week 11) can start working on systems of equations.

## Week 11

On Monday we will work on double integration. If needs be we will finish this material on Wednesday.

The rest of the week’s classes will be tutorials.

## Week 12

On Monday we will work on triple integration. If needs be we will finish this material on Wednesday.

The rest of the week’s classes will be tutorials.

## Week 13, Review Week

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

## Student Resources

## Week 7

We spent time on the inverse Laplace transform.

On Thursday, in a double class, we did one more example of an inverse Laplace Transform and then we had about an hour and twenty minutes of tutorial time.

## Week 8

On Monday, we will look at applying Laplace methods to ordinary differential equations.

On Wednesday we will finish off that section and then have some tutorial time.

Then we are disrupted by no double class on Thursday.

## Extra Tutorials

There will be two extra tutorials in room **B180**:

- 13:00-14:00, Tuesday 22 March, Week 9
- 13:00-14:00, Tuesday 29 March, Week 10

## Week 9

On Monday, we will work on Systems of Equations.

But then we will have three classes of tutorials on Laplace transforms… and four if you can make the extra tutorial.

## Week 10

On Monday we will finish talking about systems of equations, and possibly start the final chapter.

But then we will have three classes of tutorials on Laplace transforms… and four if you can make the extra tutorial. Students who are ready for Assignment 2 (due Week 11) can start working on systems of equations.

## Week 11

On Monday we will work on double integration. If needs be we will finish this material on Wednesday/

The rest of the week’s classes will be tutorials.

## Assignment 2

Assignment 2 will have a hand-in time and date of 11:00 6 April. Assignment 2 is in the manual. Once we get someway into the examples on p.132 you should be able to make a start.

## Week 12

On Monday we will work on triple integration. If needs be we will finish this material on Wednesday/

The rest of the week’s classes will be tutorials.

## Week 13, Review Week

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

## Student Resources

## Week 6

We had a Chapter 2 Concept MCQ on Wednesday.

On Monday we looked at The Engineer’s Transform” — the Laplace Transform. We will look at the first shift theorem.

On Wednesday we looked at how the Laplace Transform interacts with differentiation.

On Thursday, in a double class, we covered partial fractions. We had a bare ten minutes of tutorial time looking at the cover up method.

## Week 7

We will spend time on the inverse Laplace transform. We may or may not have tutorial time… we will probably have some on Thursday.

## Extra Tutorials

There will be two extra tutorials in room **B180**:

- 13:00-14:00, Tuesday 22 March
- 13:00-14:00, Tuesday 29 March

## Assignment 2

Assignment 2 will have a hand-in time and date of 11:00 6 April. Assignment 2 is in the manual. Once we get someway into the examples on p.132 you should be able to make a start.

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

## Student Resources

## 15% Assignment 1

This has a revised deadline. Please see Canvas and email.

There is one typo in Problem F:

…but you need to ask yourself is it worth your time to keep going for the sake of one mark (out of 62 out ofpercentage points towards your final grade.35%) that is0.56

It should be **15%** and **0.24** percentage points.

## Week 5

On Monday we drove further into Chapter 2, the method of undetermined coefficients for linear differential equations. We more-or-less have it all covered, but we need to see more examples.

On Wednesday we had some concept MCQ on Chapter 1, and then did the last bit of the Chapter 2 theory.

On Thursday most were absent (doing Assignment 1 I presume), but we finished Chapter 2 and had maybe an hour and twenty minutes of tutorial time on Chapter 2. There will be no further (dedicated/recommended) tutorial time on Chapter 2.

## Week 6

Things are getting more serious now as we start Chapter 3. We must work hard on this material:

- because without doing so you could be very, very lost on 15% Assignment 2 (and 35% exam question), and
- because if you are going into Level 8 Structural Engineering it will be assumed that you are competent with the Chapter 3 material

Chapter 3 is about “The Engineer’s Transform” — the Laplace Transform. We will look at the first shift theorem, and how the Laplace Transform interacts with differentiation. We will start looking at partial fractions.

There will be no tutorial time. We will have a Chapter 2 Concept MCQ on Wednesday.

## Extra Tutorials

There will be two extra tutorials in room **B180**:

- 13:00-14:00, Tuesday 22 March
- 13:00-14:00, Tuesday 29 March

## Assignment 2

Assignment 2 will have a hand-in time and date of 11:00 6 April. Assignment 2 is in the manual. Once we get someway into the examples on p.132 you should be able to make a start.

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

## Student Resources

## 15% Assignment 1

Should probably be underway by you. This has a (provisional) hand in time and date of 11:00 Thursday 24 February. Please see Canvas.

There is one typo in Problem F:

…but you need to ask yourself is it worth your time to keep going for the sake of one mark (out of 62 out of 35%) that is 0.56percentage points towards your final grade.

It should ne 15% and 0.24 percentage points.

## 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 4

I spoke on academic integrity for Assignment 1 (see also Canvas information) but was not yet able to do the Chapter 1 “concept MCQ” (hopefully Wednesday in Week 5).

We drove into Chapter 2, the method of undetermined coefficients for linear differential equations. We more-or-less have it all covered, but we need to see more examples.

We had only 25 minutes of tutorial time — on homogeneous second order differential equations on Thursday.

## Week 5

We will move to finish Chapter 2. Any remaining classes will be given over to tutorial time on Chapter 2.

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

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