MATH6055: Winter 2022, Week 3

October 13, 2022 in MATH6055 | Leave a comment

30% Test 1 – Sets & Relations

Test 1 takes place Wednesday 18:00-19:00, October 26th, Melbourn Exam Hall, Rows A-G

We have now completed the material for Test 1. Everything up to and including equivalence relations but not including equivalence classes is examinable. You may be required to use algebra to prove that a relation is reflexive, symmetric, or transitive.

There is a sample test on p.56 of the test. This is only to give you an idea of the type of content (but not specific questions) that will be examined. The test may be a little longer and/or harder.

Please note:

• Do not to congregate outside the Melbourn Hall until 10 minutes before the assessment is due to commence and do wait outside until you are ready to begin your assessment.

• Be mindful of groups already in the hall when entering the exam hall.

• Do not congregate in the waiting area of the Melbourn building when the assessment has finished as the noise can disrupt the students completing their assessment.

• Leave their bags in the shelved area just inside the exam hall doors – not on the floor in the exam hall lobby.  As we get busier, space will become scarce in the shelved area so if possible, only bring essential items (pens, calculators etc.) to the venue.

Manuals

The manuals are available in the Copy Centre (at a cost of €14.10). These are needed to participate properly in class. More information in the Week 1 summary.

Week 3

We explored further Relations and their properties. We had a detour to algebra to give a tool to help prove that relations have particular properties.

Students present in tutorial worked on Cartesian products and relations.

Week 4

We will finish talking about Relations and and we will start Chapter 2 on Networks.

Academic Learning Centre

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.

MATH7019: Winter 2022, Week 5

October 13, 2022 in MATH7019 | Leave a comment

Assessment 1 – Due Today

See Canvas.

Friday 21 October Class Brought Forward

The Friday 21 October class in A243L will not go ahead. Instead we will have a lecture at 10:00 on Thursday 20 October in C212.

Week 5

We started looking properly at applications to beams: to simply supported beams.

We had two tutorials on Chapter 2: one on Tuesday and another on Friday.

Week 6

We will have one or two tutorials and hopefully look at fixed end beams and maybe cantilevers in the lectures. Assessment 2 will also go on Canvas.

Week 7

We will finish looking at cantilevers. We will start looking at Euler’s Method. There will only be one tutorial. Then ye will have your reading week.

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.

MATH6040: Winter 2022, Week 5

October 13, 2022 in MATH6040, MATH6040 - Day | Leave a comment

No classes Friday 21 October

The Friday 21 October lecture in B188 is cancelled (not postponed).

The BioEng2B tutorial at 13:00 on Friday 21 October is brought forward to 13:00 on Tuesday 18 October in B240.

Test 1

Results are released with remarks in a Canvas announcement.

Week 5

We finished on matrices, with Cramer’s Rule. In the second Tuesday lecture we had some tutorial time and on Friday we had Concept MCQ on Matrices before doing some revision of integration.

Tutorial time was spent looking at Chapter 2, especially Cramer’s Rule.

Week 6

For most students, Chapters 1 and 2 are easier, but Chapter 3 is the most important part of MATH6040 for third year, so it will have a big focus.

Outlook

In Week 7 we will add two further techniques of integration to your arsenal. In Week 8 we will look at some applications. We will start Chapter 4 in Week 9, and a sample test for Test 2, on Chapter 3, will appear in Week 9.

Tutorials

The most important thing in your MATH6040 world is to attend tutorials regularly. See here for more, including times and venues.

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 Tuesday of Week 12:

06/12/202218.00-19.00MATH6040Technological Maths 20155A – C

However, this is too late, it should be Week 11, but the Melbourn Hall is provisionally unavailable in Week 11.

I will try and book a large IT room for this test, and I will also try and wing us into the Melbourn for 29 November.

So Test 2 is 99% going to be Tuesday 29 November but just in case I have booked the Melbourn for 6 December. This will be finalised by Week 9.

MATH6055: Winter 2022, Week 2

October 11, 2022 in MATH6055 | Leave a comment

Manuals

The manuals are available in the Copy Centre (at a cost of €14.10). These are needed to participate properly in class. More information in the Week 1 summary.

Week 2

In Week 2 we looked at the Laws of Sets and moved onto Cartesian Products and Relations.

Students present in tutorial worked really hard on well on the Laws of Sets exercises.

Week 3

We will explore further Relations and their properties. We might start Chapter 2.

Academic Learning Centre

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.

MATH7019: Winter 2022, Week 4

October 11, 2022 in MATH7019 | Leave a comment

Week 4

We ploughed into chapter two. We did the mathematical background for Chapter 2

We had a final tutorial on Chapter one on Tuesday.

Week 5

We will start properly looking at applications to beams: first to simply supported beams.

We will might only have one tutorial: on Tuesday. Week 6 and or 7 should see many more tutorials again.

Week 6

We will finish looking at fixed end beams and then we will look at cantilevers. We will start looking at Euler’s Method.

Assessment 1

Assessment 1 is now up on Canvas. It has a hand up date the Friday of Week 5, 14 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.

MATH6040: Winter 2022, Week 4

October 11, 2022 in MATH6040, MATH6040 - Day | Leave a comment

Test 1

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

Week 4

We continued working on matrices. We looked at Matrix Inverses — “dividing” for Matrices. This allow us to solve matrix equations, including linear systems. We also looked at determinants.

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

Week 5

We will continue working on matrices, in particular Cramer’s Rule.

Tutorials

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

So far the free choice to attend any of the following is working OK.

  • Wednesday 12 pm in B180 (the official SEE2 tutorial slot),
  • Wednesday 3 pm in B260 (the official BioEng2A slot)
  • Friday 1 pm in B260 (the official BioEng2B + “SEE2 excess” slot)

See here for more.

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 Tuesday of Week 12:

06/12/202218.00-19.00MATH6040Technological Maths 20155A – C

However, this is too late, it should be Week 11, but the Melbourn Hall is provisionally unavailable in Week 11.

When the timetable system is back up and running again I will try and book a large IT room for this test, and I will also try and wing us into the Melbourn for 29 November.

So Test 2 is 99% going to be Tuesday 29 November but just in case I have booked the Melbourn for 6 December. This will be finalised by Week 9.

Talk: The Kawada-Ito theorem for quantum groups

October 10, 2022 in C*-Algebras & Operator Theory, Quantum Groups, Random Walks on Finite Quantum Groups, Research, Research Updates | Leave a comment

BCRI Mini-Symposium: Noncommutative Probability & Quantum Information

Monday, 10th October 2022 from 12:00 to 15:00

Organizers: Claus Koestler (UCC), Stephen Wills (UCC)

SPEAKER: J.P. McCarthy (Munster Technological University)
TITLE: The Kawada-Itô theorem for finite quantum groups.
ABSTRACT: Necessary and sufficient conditions for a Markov chain to be ergodic are that the chain is irreducible and aperiodic. This result is manifest in the case of random walks on finite groups by a statement about the support of the driving probability: a random walk on a finite group is ergodic if and only if the support is not concentrated on a proper subgroup, nor on a coset of a proper normal subgroup. The study of random walks on finite groups extends naturally to the study of random walks on compact quantum groups, where a state on the algebra of functions plays the role of the driving probability. A random walk on a compact quantum group can fail to be irreducible without being concentrated on a proper quantum subgroup. In this talk we will explore this phenomenon. Time allowing, we will talk about periodicity, and as a conclusion, I give necessary and sufficient conditions for ergodicity of a random walk on a finite quantum group in terms of the support projection of the driving state.

In the end the talk (below) didn’t quite match the abstract.

kitv1Download

MATH6040: Winter 2022, Week 3

October 3, 2022 in MATH6040, MATH6040 - Day | Leave a comment

The manuals are available in the Copy Centre (at a cost of €15). These are needed to participate properly in class.

Test 1

The test will be the Tuesday 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. We also started Chapter 2, on Matrices.

Week 4

We will continue working on matrices. We will look at Matrix Inverses — “dividing” for Matrices. This will allow us to solve matrix equations. We also looked at determinants.

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

Tutorials

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

So far the free choice to attend any of the following is working OK.

  • Wednesday 12 pm in B180 (the official SEE2 tutorial slot),
  • Wednesday 3 pm in B260 (the official BioEng2A slot)
  • Friday 1 pm in B260 (the official BioEng2B + “SEE2 excess” slot)

See here for more.

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 Tuesday of Week 12:

06/12/202218.00-19.00MATH6040Technological Maths 20155A – C

However, this is too late, it should be Week 11, but the Melbourn Hall is provisionally unavailable in Week 11.

When the timetable system is back up and running again I will try and book a large IT room for this test, and I will also try and wing us into the Melbourn for 29 November.

So Test 2 is 99% going to be Tuesday 29 November but just in case I have booked the Melbourn for 6 December. This will be finalised by Week 9.

MATH7019: Winter 2022, Week 3

October 3, 2022 in MATH7019 | Leave a comment

Week 3

We looked briefly at correlation, before looking at models that are not linear but log-linear. We had two hours of tutorial time.

Week 4

We will plough into chapter two. We will do the mathematical background for Chapter 2 and will hopefully start looking properly at applications to beams: in particular at simply supported beams.

We will have a final tutorial on Chapter one on Tuesday.

Assessment 1

Assessment 1 is now up on Canvas. It has a hand up date the Friday of Week 5, 14 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 2022, Week 1

September 30, 2022 in MATH6055 | Leave a comment

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. Note that this is a cash-free area so you will need to put the appropriate amount of funds — €14.10 — on your student card (here). 

With all the materials (including worked examples, summaries, etc) it comes to 222 pages and provides a comprehensive resource for this module.

I will be writing in various colours, so maybe  a four colour pen would be useful.

Week 1

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.

Week 2

In Week 3 we will look at the Laws of Sets and move onto Cartesian Products and Relations.

Academic Learning Centre

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.