You are currently browsing the category archive for the ‘MATH7021’ category.
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.
Catch-up Classes
We will have one more catch-up class on Thursday at 12:00 in B187.
Assignments 1 & 2
The corrections are now done and the results sent to you.
You will not receive the second Assignment until after Easter. The hand-up date will be the Monday of Week 11 — when you really will be quite busy.
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
We will have catch-up classes on Thursdays at 12:00 in B187 in
- Week 7 — 19 March
- Week 8 — 26 March
Assignment 1
This must be handed up before 5 pm today. Make sure to email me your Excel file.
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 5 — next week, 5 March
- Week 7 — 19 March
- Week 8 — 26 March
Assignment 1
If you are having problems get onto me ASAP. Please read the instructions carefully. The deadline is Friday 6 March.
Please find the first assignment here. Please change the 
You also need to download these files:
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
You also need to download these files:
Example 1, P.41
I made a small mistake in class in the very last row:
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.
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.
Week 12
In the tutorial ye tried to do a line integral but I don’t know how ye got on as I was showing ye your tests. We finished off double integrals and triple integrals and we spent one class looking at systems of differential equations.
Week 13
I will be available at the following times and venues:
- Review Tutorial Tuesday 13:00 A123L (for those who are missing out on their Monday tutorial)
- Review Tutorial Tuesday 14:00 A123L (for the rest of ye)
- Review Lecture Wednesday 12:00 B228
- Review Lecture Wednesday 14:00 B212
- Review Lecture Thursday 10:00 B228
The Review Lectures will be conducted as follows
- Students can ask any question and I will answer it on the whiteboard. If we run out of questions
- I will start going through a combination of the sample and the Autumn 2013 paper (which were given out in class). If we finish this ‘paper’
- I will help ye one to one.
The Review Tutorials will be conducted as follows
- Students can ask any question and I will answer it on the whiteboard. If we run out of questions
- I will help ye one to one. You can work on whatever you want but I will be recommending a triple integral.
For your study, I would strongly recommend that you attempt these papers before the review lectures. This is your best chance of seeing how you stand.
Exam Format
Five questions do four:
Q. 1 — a question on each chapter.
Q. 2 — questions on chapter 1
Q. 3 — questions on chapter 2
Q. 4 — questions on chapter 3
Q. 5 — questions on chapter 4
As in this sample.
Academic Learning Centre
Those in danger of failing need to use the Academic Learning Centre. As you can see from the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.
Math.Stack Exchange
If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly.
Additional Notes: E-Books
If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘glyn advanced modern engineering math’ you will see that the library have an E-Book resource.
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 11
In the tutorial we did some last minute revision for the test. We continued working with double integrals and their applications.
Week 12
In the tutorial ye can try your hand at a line integral and a double integral. We will finish off double integrals and triple integrals and we will spend one class looking at systems of differential equations.
Week 13
We will have five classes at the usual times and in the usual venues. We will start by going through the sample paper. I would urge you very strongly to try this paper out over the Easter break.
When this is finished I will take questions and after that I will help one-to-one.
Exam Format
Five questions do four:
Q. 1 — a question on each chapter.
Q. 2 — questions on chapter 1
Q. 3 — questions on chapter 2
Q. 4 — questions on chapter 3
Q. 5 — questions on chapter 4
As in this sample.
Academic Learning Centre
Those in danger of failing need to use the Academic Learning Centre. As you can see from the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.
Math.Stack Exchange
If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly.
Maple Online & Wolfram Alpha
If you are subscribed to CIT MathsOnline you will have free access to the mathematical software package Maple:
Self-enrolment for Maths Online
1. Log into Blackboard Learn
2. Click on the Courses tab button at the top of the screen. Go to Course Search and type Maths Online in the box.
3. Once you’ve found the course, click the non-credit-course button and click on Enrol. This should take you to the Self Enrolment page.
4. Your Access Code is mathsonline (lower case, no spaces).
5. After you’ve finished click Submit. You should now see a message that says your enrolment was successful.
Once you’ve enrolled, no go back to the Blackboard home page and click on the Maths Online button: it should be under an Academic Learning Support Tab. You can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item. Click Maple text to start.
I myself am not a Maple expert but ‘grew up’ with another mathematical software package Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘glyn advanced modern engineering math’ you will see that the library have an E-Book resource.
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 2
The second test will be on this Wednesday 9 April February at 12:00 in B228. Ye can find a sample here.
It is vital that ye have a look at all the additional notes as well as perhaps section 3.3.2
Week 10
In the tutorial we looked at doing full Laplace transform questions. On Thursday we did the sample test. On Wednesday we finished off line integrals and started talking about double integrals.
Week 11
In the tutorial ye can look at slightly harder full Laplace transform questions that require the first shift theorem. We will continue working with double integrals and their applications.
Week 12
In the tutorial ye can try your hand at a line integral and a double integral. We will finish off double integrals and triple integrals and we will spend one class looking at systems of differential equations.
Week 13
We will have five classes at the usual times and in the usual venues. We will start by going through the sample paper. I would urge you very strongly to try this paper out over the Easter break.
When this is finished I will take questions and after that I will help one-to-one.
Exam Format
Five questions do four:
Q. 1 — a question on each chapter.
Q. 2 — questions on chapter 1
Q. 3 — questions on chapter 2
Q. 4 — questions on chapter 3
Q. 5 — questions on chapter 4
As in this sample.
Academic Learning Centre
Those in danger of failing need to use the Academic Learning Centre. As you can see from the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.
Math.Stack Exchange
If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly.
Maple Online & Wolfram Alpha
If you are subscribed to CIT MathsOnline you will have free access to the mathematical software package Maple:
Self-enrolment for Maths Online
1. Log into Blackboard Learn
2. Click on the Courses tab button at the top of the screen. Go to Course Search and type Maths Online in the box.
3. Once you’ve found the course, click the non-credit-course button and click on Enrol. This should take you to the Self Enrolment page.
4. Your Access Code is mathsonline (lower case, no spaces).
5. After you’ve finished click Submit. You should now see a message that says your enrolment was successful.
Once you’ve enrolled, no go back to the Blackboard home page and click on the Maths Online button: it should be under an Academic Learning Support Tab. You can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item. Click Maple text to start.
I myself am not a Maple expert but ‘grew up’ with another mathematical software package Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘glyn advanced modern engineering math’ you will see that the library have an E-Book resource.
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 2
The second test will be on in Week 11. That is Wednesday 9 April February at 12:00 in B228. Ye can find a sample here.
It is vital that ye have a look at all the additional notes as well as perhaps section 3.3.2
Week 9
In the tutorial we looked at finding the Laplace transform of the solutions of differential equations and also we did some inverse Laplace Transforms.
In lectures we started line integrals.
Week 10
In the tutorial we will look at doing full Laplace transform questions. On Thursday we will do the sample test. On Wednesday we will finish off the line integrals.
Week 11
In the tutorial ye can look at slightly harder full Laplace transform questions that require the first shift theorem.
Exam Format
Five questions do four:
Q. 1 — a question on each chapter.
Q. 2 — questions on chapter 1
Q. 3 — questions on chapter 2
Q. 4 — questions on chapter 3
Q. 5 — questions on chapter 4
As in this sample.
Academic Learning Centre
Those in danger of failing need to use the Academic Learning Centre. As you can see from the timetable is quite generous. You will get best results if you come to the helpers there with specific questions.
Math.Stack Exchange
If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly.
Maple Online & Wolfram Alpha
If you are subscribed to CIT MathsOnline you will have free access to the mathematical software package Maple:
Self-enrolment for Maths Online
1. Log into Blackboard Learn
2. Click on the Courses tab button at the top of the screen. Go to Course Search and type Maths Online in the box.
3. Once you’ve found the course, click the non-credit-course button and click on Enrol. This should take you to the Self Enrolment page.
4. Your Access Code is mathsonline (lower case, no spaces).
5. After you’ve finished click Submit. You should now see a message that says your enrolment was successful.
Once you’ve enrolled, no go back to the Blackboard home page and click on the Maths Online button: it should be under an Academic Learning Support Tab. You can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item. Click Maple text to start.
I myself am not a Maple expert but ‘grew up’ with another mathematical software package Mathematica. Mathematica powers the “computational knowledge engine” WolframAlpha. Go on ask it a question!
Additional Notes: E-Books
If you look in the module descriptor, you will see there is some suggested reading. Of course I think my notes are perfect but if you can look here, search for ‘glyn advanced modern engineering math’ you will see that the library have an E-Book resource.
J.P. McCarthy: Math Page 
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