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

Results are pending… I am not sure how long these will take but I will try and have them done ASAP.

Week 6

In Week 6 we did some more max/min problems and even some applied examples.

Week 7

In Week 6 we will finish off the first chapter and begin the second chapter: on Integration.

Tutorials

The tutorial split is

ON EVEN WEEKS (e.g. Week 4 is even)
 
 – Group A’s tutorial is Tuesday Monday at 13:00 17:00 in B145 B189
 – Group B’s tutorial is Friday at 09:00 in B185
 
ON ODD WEEKS (e.g. Week 3 is odd)
 - Group A’s tutorial is Friday at 09:00 in B145
 – Group B’s tutorial is Tuesday Monday at 13:00 17:00 in B145 B189

Continuous Assessment

As can be seen here in the Module Descriptor, there will be two 15% tests: one in Week 6 and one in Week 10. I hope to give you two week’s notice of each and there are sample tests in the notes. The second test might be pushed into Week 11.

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

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.

Assessment 2

Assessment 2 is on this evening Wednesday 22 October in the Melbourne Building at 6.15 pm. However you should aim to arrive at around 6.05 p.m. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Week 6

In Week 6 we spoke about equations and have started considering quadratic equations.

Week 7

In Week 7 we will study quadratic functions in more detail and perhaps begin talking about simultaneous equations.

Assessment 3

Assessment 3 is on the evening of Wednesday 12 November in the Melbourne Building at 6.15 pm. However you should aim to arrive at around 6.05 p.m. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Tutorials

  • Group A with Mr. Adrian O’Connor: Wednesday 09:00 in B187 and Thursday 09:00 in B185
  • Group B with myself: Monday 12:00 in F1. 3 and Thursday 12:00 in B165

Self-Study

If you go to

Blackboard -> MATH6000 -> Content -> Numbas Tests,

you will find plenty of online tests developed by Mr. Pat Ahern. Give them a try if you are at a computer!

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

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

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.

Assignment 1

These have been corrected and the results have been emailed to you. I will do out the solutions and send them to you at 8.45 pm on Friday 31 October. At 10 am that morning I will give ye individual feedback on your projects while ye try some cantilever questions.

To guard against complacency I will draft a sample exam that we will sit on Friday 28 November in Week 11 or Friday 5 December in Week 12. This will be a tough paper that will give ye an indication of where ye are sitting before the final stages of study.

If we sit it in Week 11 it will contain less statistics but will be corrected by me and we will do the Autumn 2014 paper in Week 13. If we can’t sit it until Week 12 we will go through it in Week 13.

Assignment 2

I should be able to complete this on Friday 24 October and will email it to ye then. Assignment 2 will have a hand-in date in Week 10 and will be concerned with beam equations — both their exact solution as has been studied by us lately and also numerical/approximate solutions as will be explored in Chapter 3.

Week 6

In Week 6 we continued with the second chapter on Differential Equations — with a particular emphasis on Beam Equations.

Week 7

We will finish off our study of beams by looking at cantilevers in the first class on Wednesday. Then we will begin the third chapter on Taylor Series.

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

Student Resources are now collated at the Student Resources tab on the top of this page.

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.

Assignment 1

I haven’t started correcting these and won’t make a promise about when they will be done but will be done sooner rather than later.

Week 6 Timetable

There are no classes on Friday 24 October (Week 6) however we cannot really afford to lose two classes.
Therefore I have made room bookings for earlier in Week 6 so that we don’t lose out.
You will therefore have two additional classes in Week 6:

Tue 21st Oct

16:00-17:00

B189

 

Wed 22nd Oct

13:00-14:00

B187

Manuals

The manuals are priced at  €14 and are available in the Reprographic Centre.

Week 5

In Week 5 we continued with the second chapter on Differential Equations — with a particular emphasis on Beam Equations.

Week 6

In Week 6 we will continue and hopefully finish the second chapter on Differential Equations — with a particular emphasis on Beam Equations.

Assignment 2

Assignment 2 will have a hand-in date in Week 10. Expect to see the assignment around Week 7.

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

Student Resources are now collated at the Student Resources tab on the top of this page.

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

The first 15% test will take place at 4 pm MONDAY 20 October in B263 (Week 6). You can find a sample in the course notes, after the section on rates of change I think. It is a test that could arguably take 42 minutes but I’ll give ye from 16.05 — 17.00. You will be given a copy of these tables. Don’t worry I’ll scribble out the “UCC”!

Note that the format will be the same of this.

  1. Differentiation from First Principles
  2. Tangent Lines
  3. Differentiate by Rule
  4. Differentiate by Rule
  5. Differentiate by Rule
  6. Rates of Change
  7. Rate of Change/ Geometry of Graph,

but this is dependent on our progress in lectures.

Week 5

In Week 5 we spoke about the duality/interplay between geometry & algebra and learnt how to find the maxima/minima of functions.

Week 6

In Week 6 we will have Test 1 on Monday. In the remaining lectures we will do more examples of finding local maxima/minima of functions and perhaps begin some applied examples.

Tutorials

The tutorial split is

ON EVEN WEEKS (e.g. Week 4 is even)
 
 – Group A’s tutorial is Tuesday Monday at 13:00 17:00 in B145 B189
 – Group B’s tutorial is Friday at 09:00 in B185
 
ON ODD WEEKS (e.g. Week 3 is odd)
 - Group A’s tutorial is Friday at 09:00 in B145
 – Group B’s tutorial is Tuesday Monday at 13:00 17:00 in B145 B189

Continuous Assessment

As can be seen here in the Module Descriptor, there will be two 15% tests: one in Week 6 and one in Week 10. I hope to give you two week’s notice of each and there are sample tests in the notes.

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

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.

Assessment 2

Assessment 2 is on ‘next’ Wednesday 22 October in the Melbourne Building at 6.15 pm. However you should aim to arrive at around 6.05 p.m. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Week 5

In Week 5 we finished statistics and started the long chapter on algebra.

Week 6

In Week 6 we will start talking about equations.

Tutorials

  • Group A with Mr. Adrian O’Connor: Wednesday 09:00 in B187 and Thursday 09:00 in B185
  • Group B with myself: Monday 12:00 in F1. 3 and Thursday 12:00 in B165

Self-Study

If you go to

Blackboard -> MATH6000 -> Content -> Numbas Tests,

you will find plenty of online tests developed by Mr. Pat Ahern. Give them a try if you are at a computer!

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

Student Resources

Student Resources are now collated at the Student Resources tab on the top of this page.

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.

Assessment 1

Assessment 1 has been emailed to all of you. The hand in date in Friday 17 October. Late handed in late shall be assigned a mark of zero.

  • I want you to read the first page carefully. When you start getting down to actually doing the assignment, read the problems carefully
  • the purpose of this assignment is to help with your understanding of the material and hopefully this will end up with you being proficient in its use and able to do well in the final exam
  • you should start right now because you only have one week to complete the assignment. The hand in date is Friday 17 October.
  • yes you can ask me questions about the assignment before, after and sometimes during class (if ye are working on a problem). Also you can ask me questions via email.
  • if you are having problems using Microsoft Excel then you are to email me ASAP and arrange to visit me in my office. You will bring your work on a memory key and we will sort it out
  • The assignment is worth 15%. The question on the final paper will be worth 25% of the 70% — which is 17.5% — on offer on the final paper. Do a good job with this assignment and you should do well on Q.1 on the paper and you might just have 32.5% in the bag before we go onto more technical stuff.
  • MOST IMPORTANTLY — you are welcome to work together. All of you have different data so none of you will have the same answers. Therefore you cannot copy each other. The best way to learn is by teaching.
  • Work submitted after 12:00 on Friday 17 October will be assigned a mark of zero. Hand up whatever you have on time.

Week 6 Timetable

There are no classes on Friday 24 October (Week 6) however we cannot really afford to lose two classes.
Therefore I have made room bookings for earlier in Week 6 so that we don’t lose out.
You will therefore have two additional classes in Week 6:

Tue 21st Oct

16:00-17:00

B189

 

Wed 22nd Oct

13:00-14:00

B187

Repeat Students — particularly EXAM ONLY

There have been some changes made to MATH7019

- Second Order Linear Ordinary Differential Equations have been moved to MATH7021 and are no longer studied in MATH7019

 - The chapter on Curve Fitting from MATH7021 has been introduced into MATH7019 however forward difference methods have been dropped altogether. The correlation coefficient has been added to this chapter. This material is being done first and will be completed by or in Week 3.

 – Cantilevers have been added to the section on beam equations

 – Regarding the chapter on Further Calculus, reviews of calculus topics have been spread out throughout the module

 - No change to the chapter on Statistics

To find out the exact syllabus please consult the module descriptor.  

Manuals

The manuals are priced at  €14 and are available in the Reprographic Centre.

Week 4

In Week 4 we continued with the second chapter on Differential Equations — with a particular emphasis on Beam Equations.

Week 5

In Week 5 we will continue with second chapter on Differential Equations — with a particular emphasis on Beam Equations.

Quick Test: Academic Learning Centre

I would urge anyone having any problems with material that isn’t being addressed in the tutorials to use the Academic Learning Centre. As you can see the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.

Based on the results of the Quick Test, I have already advised some of ye to attend the Academic Learning Centre.

Assessment 2

Assessment 2 will have a hand-in date in Week 10. Expect to see the assignment around Week 7.

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.

Read the rest of this entry »

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

The first 15% test will take place at 4 pm MONDAY 20 October in B263 (Week 6). You can find a sample in the course notes, after the section on rates of change I think. It is a test that could arguably take 42 minutes but I’ll give ye from 16.05 — 17.00. You will be given a copy of these tables. Don’t worry I’ll scribble out the “UCC”!

Note that the format will be the same of this.

  1. Differentiation from First Principles
  2. Tangent Lines
  3. Differentiate by Rule
  4. Differentiate by Rule
  5. Differentiate by Rule
  6. Rates of Change
  7. Rate of Change/ Geometry of Graph,

but this is dependent on our progress in lectures.

Week 4

In Week 4 we continued our work on the Chain Rule and spoke about applications of differentiation to rates of change.

Week 5

In Week 5 we will talk about the duality/interplay between geometry & algebra and learn how to find the maxima/minima of functions.

Tutorials

The tutorial split is

ON EVEN WEEKS (e.g. Week 4 is even)
 
 – Group A’s tutorial is Tuesday Monday at 13:00 17:00 in B145 B189
 – Group B’s tutorial is Friday at 09:00 in B185
 
ON ODD WEEKS (e.g. Week 3 is odd)
 - Group A’s tutorial is Friday at 09:00 in B145
 – Group B’s tutorial is Tuesday Monday at 13:00 17:00 in B145 B189

Continuous Assessment

As can be seen here in the Module Descriptor, there will be two 15% tests: one in Week 6 and one in Week 10. I hope to give you two week’s notice of each and there are sample tests in the notes.

Quick Test: Academic Learning Centre

I would urge anyone having any problems with material that isn’t being addressed in the tutorials to use the Academic Learning Centre. As you can see the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.

I have already advised some of ye to go to the ALC for specific help.

Study

Please feel free to ask questions about the exercises via email or even better on this webpage — especially those of us who struggled in the test.

Read the rest of this entry »

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.

Assessment 1

Assessment 1 is on this Wednesday 8 October in the Melbourne Building at 6.15 pm. However you should aim to arrive at around 6.05 p.m. Keep an eye on your CIT Blackboard and email for the latest and definitive assessment information.

Man-Hours Problem

A problem similar to the following will appear on Assessment 1 but was not covered in lectures:

If it takes five men two hours to do a job, how long will it take eight men to do the same job.

I recommend that you think of this problem as follows.

  • If it takes five men, two hours to the job then you have 5\times 2= a ten hour job on your hands (each of five men worked for two hours so ten hours in total).
  • Now the eight men are dividing the ten hour job into eight parts so it will take them \frac{10}{8}=1.25 hours equals an hour and 15 minutes.

To set this up in more generality, define N=\# men and t=t(N) time taken for N men to the job.

From a above we see that the job, in man hours (or just hours), say J is equal to

J=N\cdot t(N) so that t(N)=\frac{J}{N}.

In this problem we have N=5 and t(5)=2 so we have

J=5\cdot t(5)=5\times2=10,

so that

t(8)=\frac{J}{8}=\frac{10}{8}=1.25\text{ hours}

Week 4

In Week 4 we finished trigonometry, started discussing approximation and began statistics.

Week 5

In Week 4 we will finish statistics and start the long chapter on algebra.

Read the rest of this entry »

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.

Repeat Students — particularly EXAM ONLY

There have been some changes made to MATH7019

- Second Order Linear Ordinary Differential Equations have been moved to MATH7021 and are no longer studied in MATH7019

 - The chapter on Curve Fitting from MATH7021 has been introduced into MATH7019 however forward difference methods have been dropped altogether. The correlation coefficient has been added to this chapter. This material is being done first and will be completed by or in Week 3.

 – Cantilevers have been added to the section on beam equations

 – Regarding the chapter on Further Calculus, reviews of calculus topics have been spread out throughout the module

 - No change to the chapter on Statistics

To find out the exact syllabus please consult the module descriptor.  

Manuals

The manuals are priced at  €14 and are available in the Reprographic Centre.

Week 3

In Week 3 we finished talking about Least Squares Curve Fitting and started the second chapter on Differential Equations.

Week 4

In Week 4 we will continue with second chapter on Differential Equations — with a particular emphasis on Beam Equations.

Quick Test: Academic Learning Centre

I would urge anyone having any problems with material that isn’t being addressed in the tutorials to use the Academic Learning Centre. As you can see the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.

Based on the results of the Quick Test, I have already advised some of ye to attend the Academic Learning Centre.

Assessment 1

Assessment 1 will have a hand-in date of October 17. Expect to see the assignment early in Week 3.

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.

Read the rest of this entry »

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