J.P. McCarthy: Math 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 test will be on the TUESDAY of Week 5 at 11:00 in B214. I am afraid that Tuesday at 14:00 was not possible.

We will have an extra tutorial for all students at 17:00 on Monday in B240 where I will go through the sample and answer any questions.

Week 6

I will be away in Week 6 (9 – 13 March) so you have no maths that week.

We will have catch up classes on Tuesdays at 14:00 in C236 in Weeks 8, 9 and 10. That is an extra MATH6040 lecture on

• 24 March 2015
• 14 April 2015
• 21 April 2015

Week 3

We looked at the applications of vectors to work and moments. We began Chapter 2: Matrices.

Week 4

We will look at how to do matrix multiplication and do some examples of matrix arithmetic. We might get to look at Matrix Inverses — “dividing” for Matrices.

Tutorials

Tutorial for Group A: Mondays at 14:00 in E4

Tutorial for Group B, Building Services & Building Energy: Thursdays at 14:00 in B245

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..

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.

Continuous Assessment

Firstly an apology: question two on Quiz 2 was not in the Question Bank and I am sorry about this. Having said that, if you could do the other Integration by Parts questions, you should certainly have been able to do that one also. You really, really shouldn’t be learning off questions without understanding — it won’t serve you in the long run — the exam questions aren’t coming from a bank. Having said all that it was still unfair (and unintentional) so to make up for it we will have 11 quizzes rather than 10 (and still best out of eight). As far as I can see this is the fairest resolution.

Below find the results. You are identified by the last four digits of your student number unless you are winning the league. The individual quiz marks are out of 2.5 percentage points. Your best eight quizzes go to the 20% mark for quizzes. The R % column is your running percentage (for best eight quizzes), MPP is your Maple Percentage Points and the GPP is your Gross Percentage Points (for best eight quizzes and Maple).

The solutions to the last quiz may be found in the notes.

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.

Week 6

I will be away in Week 6 (9 – 13 March). We will have catch-up classes on Thursdays at 12:00 in B187 in

• Week 4 — tomorrow, 26 February
• Week 5 — next week, 5 March
• Week 7 — 19 March
• Week 8 — 26 March

Assignment 1

Please find the first assignment here. I will photocopy this for Monday. Please change the and s in Question 1.1. to and s please.

You also need to download these files:

• MATH7021A1 – Student Data
• MATH7021A1 – GE Examples
• MATH7021A1 – Your Name
• MATH7021A1 – Complete Me

Example 1, P.41

I made a small mistake in class in the very last row:

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.

Week 2

We continued working with the dot product and then introduced the cross product.

Week 3

We will look at the applications of vectors to work and moments. We might begin Chapter 2: Matrices.

Test 1

The test will be in Week 5. Ye will be given a sample test in the coming weeks.

Manuals

The manuals are  available in the Reprographic Centre and must be purchased as soon as possible.

Tutorials

Tutorial for Group A: Mondays at 14:00 in E4

Tutorial for Group B, Building Services & Building Energy: Thursdays at 14:00 in B245

Week 6

I will be away in Week 6 (9 – 13 March). I am proposing the following:

• we have one tutorial for all students in Week 5 before the test… perhaps I go through the sample?
• one extra lecture in Week’s 7 and 8

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..

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.

Parameter Problems

As discussed in class, please read this clarification for the case of two parameters.

Repeat Students — particularly EXAM ONLY

There have been some changes made to MATH7021

– The chapter on Curve Fitting from MATH7021 has been moved into MATH7019

– In the Linear Algebra Chapter, the Jacobi & Gauss-Siedel Methods have been thrown out. Applications of linear systems to network flows and the heating of plates have been added.

– Second Order Linear Ordinary Differential Equations have been moved from MATH7019 and are now studied as in MATH7021

– The Chapter on Laplace Methods has been unchanged

– Line Integrals have been removed from MATH7021 and instead there will be a greater emphasis on double and triple integrals.

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

Manuals

The manuals are  available in the Reprographic Centre and must be purchased as soon as possible.

Week 2

We had some time to do solve some Linear Systems ourselves and then we looked at some applications to network flow.

Week 3

We will look at Cramer’s Rule and Partial Pivoting.

Assessment 1

Assessment 1 will have now a hand-in date of Friday March 6 (Week 5). Expect to see the assignment this coming week (Week 3).

Week 6

I will be away in Week 6 (9 – 13 March). I am proposing that we have FIVE hours of classes in Weeks 4, 5 & 7, 8 although this is yet to be confirmed.

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage. Also the Academic Learning Centre should be able to help.

Student Resources

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

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.

Note: We are supposed to be C212 rather than B212 as advertised by Conor.

Missing Manual

One of you left your manual somewhere… email me if you want it before Wednesday (I have it).

Quiz 1 Results and Solutions

Below find the results. You are identified by the last four digits of your student number unless you are winning the league. The marks are out of 2.5 percentage points. Your best eight quizzes go to the 20% mark for quizzes. The R % column is your running percentage (for best eight quizzes) and the GPP is your Gross Percentage Points (for best eight quizzes).

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.

Manuals

The manuals are  available in the Reprographic Centre and must be purchased as soon as possible.

Tutorials

Tutorial for Group A: Mondays at 14:00 in E4

Tutorial for Group B, Building Services & Building Energy: Thursdays at 14:00 in B245

Week 1

We began our study of Chapter 2, Vector Algebra. We looked at how to both visualise vectors and describe them algebraically. We learned how to find the magnitude of a vector, add them and scalar multiply them. We spoke about displacement vectors and introduced the vector product known as the dot product.

Week 2

We will continue working with the dot product and then introduce the cross product.

Test 1

The test will be in Week 5. Ye will be given a sample test in the coming weeks.

Week 6

I will be away in Week 6 (9 – 13 March). I am proposing the following:

• we have one tutorial for all students in Week 5 before the test… perhaps I go through the sample?
• one extra lecture in Week’s 7 and 8

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..

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 MATH7021

– The chapter on Curve Fitting from MATH7021 has been moved into MATH7019

– In the Linear Algebra Chapter, the Jacobi & Gauss-Siedel Methods have been thrown out. Applications of linear systems to network flows and the heating of plates have been added.

– Second Order Linear Ordinary Differential Equations have been moved from MATH7019 and are now studied as in MATH7021

– The Chapter on Laplace Methods has been unchanged

– Line Integrals have been removed from MATH7021 and instead there will be a greater emphasis on double and triple integrals.

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

Manuals

The manuals are  available in the Reprographic Centre and must be purchased as soon as possible.

Week 1

We finished the first chapter on Linear Algebra. Essentially, for us, simultaneous equations. We looked at Gaussian Elimination — and saw the case of infinite solutions. If you download Maple (see Student Resources), there is a Maple Tutor that is easy to use and will help you. Open up Maple and go to Tools -> Tutors ->Linear Algebra -> Gaussian Elimination.

Week 2

We will give you some time to do solve Linear Systems yourself and then we will look at some applications to network flow and perhaps Cramer’s Rule.

Assessment 1

Assessment 1 will have a hand-in date of March 16 (Week 7). Expect to see the assignment late in Week 2 or early in Week 3.

Week 6

I will be away in Week 6 (9 – 13 March). I am proposing that we have SIX hours of classes in Weeks 5 & 7 although I must talk to Ted about this.

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..

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.

Note: We are supposed to be C212 rather than B212 as advertised by Conor.

Quiz 1 Question Bank

Please see here for your question bank for Quiz 1 (in Week 2). Here you can find the tables that will be allowed.

Quiz 1 runs from 19:00 to 19:15 sharp on Wednesday 11 February.

Continuous Assessment

The Continuous Assessment is broken into Weekly Quizzes (20%) and Maple (10%).

There will be ten weekly quizzes and your eight best results will count (so 2.5% per quiz from eight quizzes). You will receive an email (i.e. this one) on Thursday/Friday detailing the examinable exercises.

Maple consists of five labs and a Maple Test in the sixth lab. Satisfactory participation in labs gives you 1.5% and the Maple Test is worth 2.5%. More on this in the coming days.

Week 1

In Week 1 we explained the kind of thing that we would be looking at in this module. We did a quick review of integral calculus.

Week 2

In Week 2 we will look at -substitutions. Then we will study Integration by Parts: this is the start of the new material (i.e. not MATH6019 material).

If we have a Maple lab we will do some basic plotting, differentiation and integration.

Week 6

As briefly mentioned in class, I will be away in Week 6 (11 March). I am proposing that we have a class over the Easter Break. In particular, I am thinking 1 April. Please email me if this not possible for you giving your reasons.

Notes

I have given out 15 sets of the notes. I received the €11 from everyone who got a manual. Please bring €11 for next week as more manuals will be printed. If you know someone who is not registered and who was absent in Week 1 please get them to email me at jpmccarthymaths@gmail.com so that I can order them a manual.

A student was asking did I have MATH6019-type notes that revision could be done with. You could look at an old higher level maths book, look in the library for anything with “Calculus” in the title.

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage. Anyone can give me exercises they have done and I will correct them.

Student Resources

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

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 12

Week 13

We will go through the sample 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.

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.

More Exam questions can be found as follows. Google “CIT Exam Papers” and press the first entry. Go down to Mathematics.

• 2014 Semester 2 — MATH7021 — Q.1(a)
• 2014 Semester 1 — MATH7019 — Q.1, 2, 3(c)
• 2013 Semester 2 — MATH7021 — Q.1(a) [you only have TWO methods], 2(b)
• 2013 Semester 1 — MATH7021 — Q.1(a), 2(b)
• 2013 Semester 1 — MATH7019 — Q.1(a), 2(a)-(b), 3(c), 4(a)-(c)
• 2013 Autumn — MATH7019 — Q.1(a), 2, 4(a)-(d)
• 2013 Autumn — MATH7021 — Q.1(a), 2(b)
• 2012 Semester 2 — MATH7019 — Q.1 [(a) & (b) should be +M not -M], 2, 4(b)

Student Resources

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