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Weeks 2
This week we mostly spoke about the Laws of Sets, which form a Boolean Algebra. We just started talking about Cartesian Products.
In tutorial most students got to try applying the laws of sets in simplifying ‘complicated sets’. Students will get another chance to work on these in Week 3.
Week 3
In Week 3 we will talk more about Cartesian Products and then Relations.
In tutorial we will work on Laws of Sets and Cartesian Products.
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.
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 for €14.10.
With all the materials (including worked examples, summaries, etc) it comes to 235 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.
We started tutorials in Week 1.
Week 2
In Week 3 we will look at the Laws of Sets and move onto Cartesian Products and Relations.
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.
Student Feedback
If you would like to give fully anonymous feedback on this module and my teaching please go here.
Study Plan
I am going to recommend at this point that you spend some time outside tutorials doing exercises. Ideally getting ahead of the following proposed schedule:
Mathematics Exam Advice
- You don’t have to answer questions in order Q. 1, Q. 2, etc. If you know in advance the structure of the exam, you can decide in advance what questions you are doing first, second, etc. This is related to:
- Read questions carefully. Don’t glance at a question and go off writing: take a moment to understand what you have been asked to do.
- Don’t use tippex; instead draw a simple line(s) through work that you think is incorrect.
If you do have time at the end of the exam, go through each of your answers and ask yourself:
- have I answered the question that was asked?
- does my answer make sense? If no, write that on your script, and then try and fix your solution.
- check your answer (e.g. if you are looking at something general, look at a special case; substitute your solution into equations; check your answer against a rough estimate; or what a picture is telling you; etc.). If your answer is wrong, write that on your script, and then try and fix your solution.
Week 10
A bit of a turbo-charge to finish the material for the exam. We introduced logs as inverses of exponential functions. Then we looked at properties and computer science applications of logs.
Weeks 11 and 12 to 12 December
As per the above, we have a number of revision classes.
The good news is that we will be able to finish Chapter 4 and skim the mini-Chapter 5 and still have everything well covered for assessment.
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
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.
15% Test 2
Results have been released on Canvas.
For the solutions, go to Canvas —> MATH6055 —> Assignments —> COMP1C Test 2
Study Plan
I am going to recommend at this point that you spend some time outside tutorials doing exercises. Ideally getting ahead of the following proposed schedule:
Week 9
We will spent time on equations and spent time talking about indices/exponentials.
In tutorial, C-X looked at Sample Test 2, and C-Y moved onto functions. We are very short for time for tutorials: students are advised to spend some time outside tutorials working on exercises.
Week 10
There is going to be a bit of a turbo-charge to finish the material for the exam. We will introduce logs as inverses of exponential functions. Then we will be looking at properties and computer science applications of logs.
The good news is that we will be able to skim the mini-Chapter 5 and still have everything well covered for assessment.
We have two lectures in Week 11. Then we have four more classes of review which will also be tutorials.
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
Student Resources
Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.
15% Test 2 – Equivalence Relations & Graphs
Wednesday 6 pm in the Melbourn Exam Hall.
There is a sample test on p.90 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.
More relevant exercises to be found on p.52, 66, 79, 83. We are very short for time for tutorials: students are advised to spend some time outside tutorials working on exercises. Particularly in preparation for Test 2 and the final exam.
Study Plan
As discussed in class, it might not be a great idea for students to spend all of the tutorials up to Test 2 on Test 2 material. Doing this leaves very little time for tutorials on Chapter 3 to 5 (which makes up 35% of your final grade).
I am going to recommend at this point that you spend some time outside tutorials doing exercises. Ideally getting ahead of the following proposed schedule:
Week 8
We drove into Chapter 4 Algebra, spending a lot of time talking about algebra in general, and the axioms of the real numbers.
In tutorial, C-X looked at p. 83/52, while C-Y looked at the sample test.
Week 9
We will spend time on equations and maybe spend a lecture talking about indices/exponentials.
In tutorial, C-X will look at sample test 2, and C-Y move onto functions. We are very short for time for tutorials: students are advised to spend some time outside tutorials working on exercises.
Week 10
Then we will introduce logs as inverses of exponential functions. We might get to fly through mini-Chapter 5. We have two lectures in Week 11. Hopefully at least one of these will be a tutorial.
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
Student Resources
Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.
15% Test 2 – Equivalence Relations & Graphs
We have now completed the material for Test 2. Everything in Chapters 1 and 2 is examinable, with the emphasis on equivalence relations as well as Chapter 2.
There is a sample test on p.90 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.
Week 7
We spoke about compositions, and inverses, and looked at some examples of invertible functions that we will use in the chapter on Algebra.
In tutorial we focused on Test 2 material.
Week 8
We will drive into Chapter 4 Algebra.
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
Student Resources
Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.
Study Plan
As discussed in class, it might not be a great idea for students to spend all of the tutorials up to Test 2 on Test 2 material. Doing this leaves very little time for tutorials on Chapter 3 to 5 (which makes up 35% of your final grade).
I am going to recommend at this point that you spend some time outside tutorials doing exercises. Ideally getting ahead of the following proposed schedule:
15% Test 1 – Results
It is my intention to have these back to ye before we return from reading week. There is a small chance that I will not have results for those who took the resit until the Monday of Week 7.
15% Test 2 – Equivalence Relations & Graphs
We have now completed the material for Test 2. Everything in Chapters 1 and 2 is examinable, with the emphasis on transitive and equivalence relations as well as Chapter 2.
There is a sample test on p.90 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.
Week 6
We drove into Chapter 3, on Functions. We saw their definition in terms of a domain, codomain, and a set of ordered pairs. We learned that we can visualise functions with arrow diagrams (usually for small domains), and coordinate graphs (usually for functions that map reals to reals). We learned about the properties of a function: namely 1-1, onto, and bijective.
Week 7
We talk about compositions, and inverses, and look at some examples of invertible functions that we will use in the chapter on Algebra.
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.
15% Test 1 – Sets & Relations – Resit and Results
The resit test will probably not be fully organised until early next week, but at the moment my expectation is that it will be Wednesday evening.
Week 5
We all but finished Chapter 2. We have a tiny small example to finish before summarising.
Week 6
We will drive into Chapter 3, on Functions.
15% Test 2 – Equivalence Relations & Graphs
We have now completed the material for Test 2. Everything in Chapters 1 and 2 is examinable, with the emphasis on transitive and equivalence relations as well as Chapter 2.
There is a sample test on p.90 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.
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.
15% Test 1 – Sets & Relations
Test 1 takes place Wednesday 18:00-19:00, October 18th, Melbourn Exam Hall, Rows A-H (Ye are in rows E & F). We have completed the material for Test 1. Everything up to and including equivalence relations but not including equivalence classes is examinable. There is a sample test on p.54 of the manual. This is only to give you an idea of the type of content (but not specific questions) that will be examined.
Please note access to the Melbourn Exam Hall is complicated by building works:
• 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.
Week 4
We finished talking about Relations and we started Chapter 2 on Networks.
Week 5
We will aim to finish Chapter 2 and possibly start Chapter 3, on Functions. Test one is on Wednesday evening.
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.
Mega-Maths-Thursday
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)
Note COMP1C-Y will two lectures and a double tutorial. It will be their last tutorials before the test, and not to be missed.
15% Test 1 – Sets & Relations
Test 1 takes place Wednesday 18:00-19:00, October 18th, Melbourn Exam Hall, Rows A-H
We have nearly completed the material for Test 1. Everything up to and including equivalence relations but not including equivalence classes is examinable.
There is a sample test on p.54 of the manual. 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 shorter and/or harder.
Please note access to the Melbourn Exam Hall is complicated by building works:
• 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.
Week 3
We explored further Relations and their 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
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.
J.P. McCarthy: Math Page 
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