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Reading Week
“If you have time to look at MATH6055 over the Reading Break, may I suggest that you look at the Functions Exercises:
P. 61, Q. 1-11, 13
P. 54, Q. 1-4
P. 46, Q. 1-5
P. 41, Q. 1-2, 3 (a), 4, 5 (a)
If you have any questions please email me, perhaps with a photo of your work.
”
Catch Up Lecture
13:00 this coming Wednesday 6 November, in B217.
Week 7
In Week 7 we started delving more into algebra
Week 8
In Week 8 we will start talking about equations.
Catch Up Lecture
We will not have MATH6055 class next Friday, 09:00, 25 October.
I would like to catch up on this after the reading break. Please click here and fill out your preference between the times. I know ye are all free at this times and it is just a case of picking the most popular time.
Week 6
We finished Chapter 2 with a Concept MCQ on Functions Theory, and moved onto Algebra.
Week 7
In Week 7 we started delving more into algebra and started talking about equations.
Test 1
Test 1, worth 15% of your final grade, will take place in the usual D160 lecture venue at 10:00 on Tuesday 15 October.
You can find a sample here.
Test 1 will cover the contents of Chapter 1 and the sample will give an idea of the layout and length of the test.
The following types of questions are examinable:
- P.22, Q. 1, 3, 4, 6-7, 9, 13-14
- P.28, Q. 1-4
- P.32, Q. 2
- P. 37, Q.1-3
Questions like those exercises not listed here will not appear on your exam paper but are still useful to help your learning and understanding. For example, working with truth tables should help your understanding of the Laws of Sets.
Any questions at all, you can email me, perhaps with a screenshot of your attempt.
You will want to be familiar with all the concepts in the Chapter Summary, P. 38.
Transposition Project
On Monday you will be sent a 20 minute quiz that you will take on a mobile internet device — such as your mobile phone — during Monday’s lecture. You will have another quiz again after we finish studying algebra.
These quizzes do not affect your MATH6055 grade but are part of a larger project the Mathematics Department is undertaking in an effort to improve our teaching.
If you do not have an internet ready device you may leave class early.
Week 5
In Week 5 we continued our study of functions and their properties. We considered the composition of functions — and inverse functions.
Week 6
We should finish Chapter 2 and move onto Algebra.
Test 1
Test 1, worth 15% of your final grade, will take place in the usual D160 lecture venue at 10:00 on Tuesday 15 October.
You can find a sample here.
Test 1 will cover the contents of Chapter 1 and the sample will give an idea of the layout and length of the test.
The following types of questions are examinable:
- P.22, Q. 1, 3, 4, 6-7, 9, 13-14
- P.28, Q. 1-4
- P.32, Q. 2
- P. 37, Q.1-3
Questions like those exercises not listed here will not appear on your exam paper but are still useful to help your learning and understanding. For example, working with truth tables should help your understanding of the Laws of Sets.
Week 4
We finished Chapter 1 by looking more at relations and their properties. We started our study of Chapter 2: Functions Theory. A function is a special type of relation.
Week 5
In Week 5 we will continue our study of functions and their properties.
I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Test 1
Test 1, worth 15% of your final grade, will take place in the usual D160 lecture venue at 10:00 on Tuesday 15 October.
You can find a sample here. I will give ye a copy of this next week.
Test 1 will cover the contents of Chapter 1 and the sample will give an idea of the layout and length of the test.
The following types of questions are examinable:
- P.22, Q. 1, 3, 4, 6-7, 9, 13-14
- P.28, Q. 1-4
- P.32, Q. 2
- P. 37, Q.1-3
Questions like those exercises not listed here will not appear on your exam paper but are still useful to help your learning and understanding. For example, working with truth tables should help your understanding of the Laws of Sets.
Set Identities
As briefly discussed on Friday, we are going to ask these questions with sets called 
After the tutorial, I will send on the solutions, and might possibly send on a video also.
Telegram App
For those who have already contacted me, I hope to have this set up for Monday.
If this is something you might be interested in, please download the Telegram app and set yourself up with an @ handle.
Week 3
We looked at the Laws of Sets and moved onto Cartesian Products and Relations.
Week 4
In Week 4 we will finish Chapter 1 by looking more at relations and their properties. We will start our study of Chapter 2: Functions. A function is a special type of relation.
I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Manuals
The manuals are available in the Copy Centre and are required for Monday’s lecture.
Week 2
We looked more at sets and set identities and looked at truth tables.
Week 3
In Week 3 we will look at the Laws of Sets and move onto Cartesian Products and Relations.
Telegram App
I am exploring the possibility of setting up a classroom group chat that would have the functionality of WhatsApp without having your phone number made public.
If this is something you might be interested in, please download the Telegram app and set yourself up with an @ handle.
We might talk about this again next week.
I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.
Week 1
We had one lecture and 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 also took the quick test.
Week 2
In Week 2 we will start the first chapter proper. We will see something new with the concept of the power set of a set, and set identities, and we’ll explore Cartesian Products and perhaps introduce relations.
Telegram App
I am exploring the possibility of setting up a classroom group chat that would have the functionality of WhatsApp without having your phone number made public.
If this is something you might be interested in, please download the Telegram app and set yourself up with an @ handle.
We might talk about this again next week.
Tutorials
Tutorials start properly in Week 2.
- COMP1C-X: Tuesday at 15:00 in B241L
- COMP1C-Y: Wednesday at 12:00 in B143
Transposition Survey
If you would like to help us more with the Transposition Project, please take this survey.
Mathematics Exam Advice
- The first piece of advice is 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.
- For equations, check your solution by substituting your solution into the original equation. If your answer is wrong and you know it is wrong: write that on your script.
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, say so, and then try and fix your solution.
- check your answer (e.g. if you are looking at a general true, 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, say so, and then try and fix your solution.
Student Feedback
You are invited to give your feedback on my teaching and this module here.
CA Results
Have been emailed to you.
Sample Papers
I have not one but two sample exams for ye.
We will go through MATH6055 Sample 1 in Week 13 (I will give you a paper copy of this on Monday) and here is an additional Sample Exam 2 for you.
Both Sample Exams should be considered under the following understanding:
This sample has been drafted to give you an idea of the NEW MATH6055 LAYOUT and is no indication of the specifics, difficulty or length of any individual questions.
Week 12
We finished our study of Graph Theory by looking at connectedness, degree, walks (Monday), and trees. Eulerian graphs (Tuesday), Hamiltonian graphs, and Dirac’s Theorem (Friday).
Week 13
We will have three review lectures, and tutorials as normal.
I have drafted a sample paper and we will go through this exam on the board and then I will answer your questions if there are any. If there are none I will help one-to-one. Usual class times and locations.
Tutorials on Week 13 at the usual times and venue. As long as there are not too many people in a tutorial (max 18), you can attend both tutorials if you want.
Study
Please feel free to ask me questions about the exercises via email or even better on this webpage — especially those of us who struggled in the test.
Student Resources
Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, exam papers etc.
Student Feedback
You are invited to give your feedback on my teaching and this module here.
Test 2
I hope to get the Test 2 results, your collated CA results, and the Test 2 Marking Scheme out to you by the end of next week.
Sample Papers
I have not one but two sample exams for ye.
We will go through MATH6055 Sample in Week 13 (I will give you a paper copy of this on Monday) and here is an additional Sample Exam for you.
Both Sample Exams should be considered under the following understanding:
This sample has been drafted to give you an idea of the NEW MATH6055 LAYOUT and is no indication of the specifics, difficulty or length of any individual questions.
Week 11
In Week 11 we explored Network Theory, or rather Graph Theory, in more depth. In particular we put Graph Theory on a firm set-theoretic foundation.
Test 2 was on Friday.
Week 12
We will finish our study of Graph Theory by looking at connectedness, degree, walks, and trees. Eulerian graphs, Fleury’s Algorithm, Hamiltonian graphs, and Dirac’s Theorem.
Week 13
We will have three review lectures, and tutorials as normal.
I have drafted a sample paper and we will go through this exam on the board and then I will answer your questions if there are any. If there are none I will help one-to-one. Usual class times and locations.
Tutorials on Week 13 at the usual times and venue.
Study
Please feel free to ask me questions about the exercises via email or even better on this webpage — especially those of us who struggled in the test.
Student Resources
Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.
Transposition Project – Part II
October 22 you took a quiz as part of the Transposition Project that the Mathematics Department is undertaking in an effort to improve our teaching.
You will have another 15 minute quiz on Monday.
If you do not have an internet ready device, or did not do the first quiz, you may leave class early.
Thank you again for your participation.
Test 2
Test 2, worth 15% of your final grade, based on Chapter 3: Algebra, will take place on Friday 30 November in the usual lecture venue of B214.
All Chapter 3 material is examinable, but the test will be similar to the sample test.
There will also be a question on the growth rate of functions: the relevant info to answer these questions are on p. 81, and they are exercises 18, 19 on p. 79.
Here is a sample test.
The sample is to give you an idea of the length of the test. You know from Test 1 the layout (i.e. you write your answers on the paper). You will be allowed use a calculator for all questions.
I strongly advise you that, for those who might have done poorly, or not particularly well, in Test 1, attending tutorials alone will not be sufficient preparation for this test, and you will have to devote extra time outside classes to study aka do exercises.
Week 10
We introduced and studied the properties of uses of logarithms. We began the chapter on Network Theory by looking at the Bridges of Konigsberg Problem.
Week 11
In Week 11 we will explore Network Theory, or rather Graph Theory, in more depth. We will look at digraphs, connectedness, degree, walks, and trees.
Test 2 will be on Friday.
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