MATH6040: Winter 2023, Week 3

October 3, 2023 in MATH6040, MATH6040 - Day | Leave a comment

Test 1

The test will be the Wednesday evening, 11 October, of Week 5. See Canvas (MATH6040 —> Assignments) for further details.

Week 3

We finished Chapter 1, and the material for Test 1, by talking at the applications of vectors to work and moments.

Week 4

We will start Chapter 2, on Matrices. We will look at Matrix Inverses — “dividing” for Matrices. This will allow us to solve matrix equations. We might also look at determinants.

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

Tutorials

I am still trying to sort out with BioEng2B the best slot for their tutorials. Unfortunately there was no room availability for Tuesday.

Study

Please feel free to ask me questions about the exercises via email.

Student Resources

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

Test 2

Test 2 is provisionally booked for the Wednesday of Week 11:

29/11/202318.00-19.00MATH6040Technological Maths 20160+A – D

MATH7019: Winter 2023, Week 3

October 3, 2023 in MATH7019 | Leave a comment

J.P. Illness Catch Up Class

3 p.m., Monday, 9 October, B241L

Week 3

We looked at models that are not linear but log-linear. We had two hours of tutorial time. We would have had a third but I had to take Thursday off with illness.

Week 4

We will have two tutorials before starting the mathematical background for Chapter 2 and will possibly start looking properly at applications to beams: in particular at simply supported beams.

Assessment 1

Assessment 1 is now up on Canvas. It has a hand up date the Friday of Week 5, 13 October.

Academic Learning Centre

I would urge anyone having any problems with material that isn’t being addressed in the tutorial communication to use the Academic Learning Centre. If you are a little worried about your maths this semester you need to be aware of this resource. You will get best results if you come to the helpers there with specific questions.

Student Resources

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

Study

Please feel free to ask me questions about the exercises via email.

MATH6055: Winter 2023, Weeks 1-2

October 2, 2023 in MATH6055 | Leave a comment

Students. Apologies ye got no Week 1 summary. I have been feeling ill since the start of last week and I was just focusing on eating, sleeping, and doing my classes.

We will catch up on the Week 2 missed classes as follows:

1 p.m. Thursday 12 October, D245, MATH6055 Tutorial (COMP1C-Y)

2 p.m. Thursday 12 October, C169, MATH6055 Lecture (COMP1C)

Manuals

COMP1C are required to purchase an academic manual for MATH6055. This contains all the lecture notes and exercises for the module. The lecture notes contain gaps that we fill in during class. I will have notes for you for the first week but after that you must purchase the manual: the sooner the better.

The manuals can be purchased from Reprographics\Copy Centre beside the Student Centre (in the same room as where you get your photos taken for your student card). Note that this is a cash-only area — and they request if at all possible the exact amount — €13.

With all the materials (including worked examples, summaries, etc) it comes to 217 pages and provides a comprehensive resource for this module.

Weeks 1 to 2

After listening to me go on about the importance of mathematics to your programme we started the first chapter on Sets and Relations by looking at some number sets. We saw something new with the concept of the power set of a set.

We then spoke about Laws of Sets.

Week 3

In Week 3 we will move onto Cartesian Products and Relations.

Academic Learning Centre

Tomorrow, Tuesday 3 October, we should hear more about the ALC.

Have you heard about Maths Online on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year. 

 We also use the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible. 

Please log on to Maths online to book a maths appointment, book a place in a supported maths study session or request a workshopLinks to an external site..

 Supported Maths Study is on every Monday from 3.30pm – 5.30pm in B231.

Supported Statistics Study is on every Wednesday from 3pm – 4pm in B231.

 If you have any other question about our Maths and Stats supports email us on Academic.Learning@mtu.ie 

Assessment

See Canvas for the assessment plan and schedule.

Student Resources

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

MATH6040: Winter 2023, Week 2

September 25, 2023 in MATH6040, MATH6040 - Day | Leave a comment

The manuals are available in the Copy Centre (at a cost of €15.50). The newer batches don’t have the issue with the offset/bind, and the copy centre do apologise for this error.

Tutorials

The most important thing in your MATH6040 world is to attend tutorials regularly.

I have sent an email to BioEng2 about their Friday tutorial. There is a change proposed.

Test 1

The test will be the Wednesday evening, 11 October, of Week 5. See Canvas (MATH6040 —> Assignments) for further details.

Week 2

In Week 2 we spoke about vector products: the dot product and the vector product.

Week 3

In Week 3 we will finish Chapter 1, and the material for Test 1, by talking at the applications of vectors to work and moments.

Study

Please feel free to ask me questions about the exercises via email.

Student Resources

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

Test 2

Test 2 is provisionally booked for the Wednesday of Week 11:

29/11/202318.00-19.00MATH6040Technological Maths 20160+A – D

MATH7019: Winter 2023, Week 2

September 25, 2023 in MATH7019 | Leave a comment

Week 2

We continued talking about (linear) Least Squares curve fitting. We had time for maybe two and a half tutorials but one student was so far ahead I had to start next section on models that are not linear but log-linear (after the very short section on correlation).

Week 3

We will (have) finish(ed) Chapter 1 on Monday, and this will allow us to have three hours of tutorials in Week 3.

Assessment 1

Assessment 1 is now up on Canvas. It has a hand up date the Friday of Week 5, 13 October. Ye now have enough done to start.

Academic Learning Centre

I would urge anyone having any problems with material that isn’t being addressed in the tutorial communication to use the Academic Learning Centre. If you are a little worried about your maths this semester you need to be aware of this resource. You will get best results if you come to the helpers there ith specific questions.

Student Resources

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

Study

Please feel free to ask me questions about the exercises via email.

MATH6040: Winter 2023, Week 1

September 15, 2023 in MATH6040, MATH6040 - Day | Leave a comment

The manuals are available in the Copy Centre (at a cost of €15.50 cash, exact change if possible please) and should be purchased as soon as possible.

Tutorials

For this coming week, Week 2, please attend tutorials as per your timetables.

Week 1

We began our study of Chapter 1, Vector Algebra by studying the difference between a scalar (single number) and a vector (list of numbers). We looked at how to both visualise vectors and describe them algebraically. We learned how to find the magnitude  and direction of a vector, add them and scalar multiply them.

Week 2

In Week 2 we will talk about displacement vectors; and vector products: the dot product and the vector product.

Test 1

The test will probably be the Tuesday evening, 11 October, of Week 5. Official notice will be given in Week 3. There is a sample test in the notes.

Study

Please feel free to ask me questions about the exercises via email.

Student Resources

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

MATH7019: Winter 2023, Week 1

September 15, 2023 in MATH7019 | Leave a comment

Manuals

The manuals are available in the Copy Centre. Please purchase ASAP. More information on Canvas

Week 1

We covered Lagrange interpolation and did the theory — and first example — for Least Squares curve fitting.

Apologies about the postponed lecture on Thursday. Any student who missed out can view old lecture videos on Canvas.

Week 2

We will continue talking about Least Squares curve fitting. We might aim to have two tutorial classes.

Assessment 1

Assessment 1 has a provisional hand-in week of Week 5. Once the class list is established I can send on the student-number-personalised assessment.

Academic Learning Centre

I would urge anyone having any problems with material that isn’t being addressed in the tutorial communication to use the Academic Learning Centre. If you are a little worried about your maths this semester you need to be aware of this resource. You will get best results if you come to the helpers there ith specific questions.

Student Resources

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

Study

Please feel free to ask me questions about the exercises via email.

Talk about idempotent states

June 1, 2023 in Quantum Groups, Random Walks on Finite Quantum Groups, Research, Research Updates | Leave a comment

I gave a talk to the Quantum Groups & Interactions Workshop in Glasgow.

Abstract: Woronowicz proved the existence of the Haar state for compact quantum groups under a separability assumption later removed by Van Daele in a new existence proof. A minor adaptation of Van Daele’s proof yields an idempotent state in any non-empty weak*-compact convolution-closed convex subset of the state space. Such subsets, and their associated idempotent states, are studied in the case of quantum permutation groups.

glasgowv5Download

Talks about the Frucht property

June 1, 2023 in C*-Algebras & Operator Theory, Quantum Groups, Research, Research Updates | Leave a comment

I gave the same talk to the Non local games seminar and C*-Days in Prague:

Abstract: The first part of the talk will give a post hoc motivation for Banica’s 2005 definition of the quantum automorphism group of a finite graph, and in doing so attempt to build a good intuition for quantum automorphism. Frucht in 1939 showed that every finite group is the automorphism group of a finite graph, and a natural  pursuit in the theory of quantum automorphism groups is to establish quantum analogues of this result.  Based  on a joint work with Banica, the second part of the talk will address this question.

Slides below, video here from the Prague NCGT Group’s YouTube:

The slides are subtly different: the one for C*-Days is the latest version:

praguev5Download

MATH7021: Spring 2023, Week 12

April 26, 2023 in MATH7021 | Leave a comment

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 now promising these be ready for 14:00 Tuesday 2 May and ye can look at your hand-ups in class.

Week 12

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

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..