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.
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 8
In Tuesday’s tutorial we did some inverse Laplace Transforms.
In lectures we started fully applying our methods to solving differential equations.
Week 9
In tutorials we will look at finding the Laplace transform of solutions of differential equations and do some shifted inverse Laplace Transforms.
In lectures we will start at line integrals.
Week 10
The tutorial as well as one or two lectures will be handed over to doing Laplace revision.
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.
Week 7
In Monday’s tutorial we looked at partial fractions.
In lectures we started looking properly at the Inverse Laplace Transform.
Week 8
In Tuesday’s tutorial we will look at doing some inverse Laplace Transforms.
In lectures we will start looking to fully apply our methods to a differential equation. There is no 12:00 lecture this Wednesday.
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.
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 1 Marks
Pending…
Week 6
In Monday’s tutorial we looked at the Jacobi and Gauss-Siedel Methods (as well as a bit of Cramer’s Rule).
In lectures we looked at what can happen when we use rounding when doing Gaussian Elimination. Then we started Laplace Methods.
Week 7
In Monday’s tutorial we will look at doing some partial fractions. I am going to rob and adapt these exercises.
In lectures we will start looking properly at the Inverse Laplace Transform.
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. For example this, this and this question are looking for but not finding intuitive ways to think about the Laplace transform.
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 1
Test 1 will be on Wednesday March 5 at 12:00 in B228 in Week 6. Please see the sample here. Everything in Chapters 1 & 2 is examinable but not ‘Round-Off Error and Partial Pivoting’.
Week 5
In Monday’s tutorial we looked at the Jacobi and Gauss-Siedel Methods (as well as a bit of Cramer’s Rule).
In lectures we looked at what can happen when we use rounding when doing Gaussian Elimination… the answer is we have to do partial pivoting. We also began the section on the powerful theory of the Laplace Transform.
Week 6
In Monday’s tutorial we should be looking at our sample paper — you should print off a copy for yourself. Otherwise look at the sample in the notes but replace the partial pivoting question by a Jacobi/Gauss-Siedel question.
In lectures we will look at partial fractions — a vital technique in the use of the Laplace Transform in solving differential equations.
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. For example this answer which says that partial pivoting can actually be really bad in theory (give inaccurate solutions), but almost always works well.
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 1
Test 1 will be on Wednesday March 5 at 12:00 in B228 in Week 6. Please see the sample here. Everything in Chapters 1 & 2 is examinable but not ‘Round-Off Error and Partial Pivoting’.
Week 4
In the tutorials we looked at Gaussian Elimination. Also if you download Maple (see below), 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.
In lectures we looked at what to do when a linear system has infinitely many solutions, as well as Cramer’s Rule and the iterative methods of Jacobi and Gauss-Siedel for approximating the solutions of diagonally dominant linear systems.
Week 5
In Monday’s tutorial we will look at the Jacobi and Gauss-Siedel Methods (as well as a bit of Cramer’s Rule).
In lectures we will look at what can happen when we use rounding when doing Gaussian Elimination.
Autumn 2013 Question 1 (b)
Carry out Gaussian Elimination on the following linear system until it is in reduced row form. Do not use decimal rounding.
Show that there are an infinite number of solutions and find these solutions in terms of a parameter 
Solution: We start by putting the system into augmented matrix form:
![\left[\begin{array}{ c c c | c } 3 & -1 & 1 & 4 \\ 1 & 1 & -1 & 5 \\ 2 & -2 & 2 & -1 \end{array}\right]](https://s0.wp.com/latex.php?latex=%5Cleft%5B%5Cbegin%7Barray%7D%7B+c+c+c+%7C+c+%7D+3+%26+-1+%26+1+%26+4+%5C%5C+1+%26+1+%26+-1+%26+5+%5C%5C+2+%26+-2+%26+2+%26+-1+%5Cend%7Barray%7D%5Cright%5D+&bg=ffffff&fg=545454&s=0&c=20201002)
Usually I would propose that we would do the ero 
![\left[\begin{array}{ c c c | c } 1 & 1 & -1 & 5 \\ 3 & -1 & 1 & 4 \\ 2 & -2 & 2 & -1 \end{array}\right]](https://s0.wp.com/latex.php?latex=%5Cleft%5B%5Cbegin%7Barray%7D%7B+c+c+c+%7C+c+%7D+1+%26+1+%26+-1+%26+5+%5C%5C+3+%26+-1+%26+1+%26+4+%5C%5C+2+%26+-2+%26+2+%26+-1+%5Cend%7Barray%7D%5Cright%5D+&bg=ffffff&fg=545454&s=0&c=20201002)
![\left[\begin{array}{ c c c | c } 1 & 1 & -1 & 5 \\ 0 & -4 & 4 & -11 \\ 0 & -4 & 4 & -11 \end{array}\right]](https://s0.wp.com/latex.php?latex=%5Cleft%5B%5Cbegin%7Barray%7D%7B+c+c+c+%7C+c+%7D+1+%26+1+%26+-1+%26+5+%5C%5C+0+%26+-4+%26+4+%26+-11+%5C%5C+0+%26+-4+%26+4+%26+-11+%5Cend%7Barray%7D%5Cright%5D+&bg=ffffff&fg=545454&s=0&c=20201002)
![\left[\begin{array}{ c c c | c } 1 & 1 & -1 & 5 \\ 0 & 1 & -1 & \frac{11}{4} \\ 0 & 0 & 0 & 0 \end{array}\right]](https://s0.wp.com/latex.php?latex=%5Cleft%5B%5Cbegin%7Barray%7D%7B+c+c+c+%7C+c+%7D+1+%26+1+%26+-1+%26+5+%5C%5C+0+%26+1+%26+-1+%26+%5Cfrac%7B11%7D%7B4%7D+%5C%5C+0+%26+0+%26+0+%26+0+%5Cend%7Barray%7D%5Cright%5D+&bg=ffffff&fg=545454&s=0&c=20201002)
Now we are in reduced row form. There are solutions and 
The second row/equation reads
The solution set is given by:
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. For example this question which asks what are the applications of linear systems.
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.
Week 3
We finished the first chapter and began the second, the Chapter on Linear Algebra. Essentially, for us, simultaneous equations.
Week 4
In Monday’s tutorial we will look at Gaussian Elimination. Also if you download Maple (see below), 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. In lectures we will look at at the case of infinite solutions, as well as Cramer’s Rule and Partial Pivoting.
Test 1
Provisionally I am looking at Week 6. Ye will get a sample test (format only) and notice two weeks in advance.
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. For example this question which asks why we do Gaussian Elimination over other methods.
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.
Manuals
Please get your manual ASAP from the Copy Centre. They are priced at E12.
Week 2
In Monday’s tutorial we looked at forward differences. In lectures we introduced Lagrange and Least Squares Interpolation.
Week 3
In Monday’s tutorial we will look at Least Squares. In lectures we will start the Chapter on Linear Algebra.
Test 1
Provisionally I am looking at Week 6. Ye will get a sample test (format only) and notice two weeks in advance.
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. For example this question about why we use Least Squares.
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 on the action link button next to the course 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, you can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item.
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.
Manuals
Please get your manual ASAP from the Copy Centre. They are priced at E12.
Week 1
After introductions, we looked forward differences. In fact we have 15 marks in the bag already.
Week 2
In Monday’s tutorial we will look at forward differences. In lectures we will introduce Lagrange and Least Squares Interpolation.
Test 1
Provisionally I am looking at Week 6. Ye will get a sample test (format only) and notice two weeks in advance.
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. For example this interesting application of forward differences.
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 on the action link button next to the course 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, you can download Maple by selecting the Mathematical Software tab in the left hand column and following the instructions under the Maple item.
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 Results
You are identified by the last five digits of your student number. The first column is your Test 1 result while the second is your Test 2 result. The third is your continuous assessment mark out of 30. The fourth is the percentage you must have on the final to pass and the last is the percentage you must have on the final to get 70%. I will have these test papers with me over the remaining classes. One person never put their name on their test and there will be a – where your score should be. The zeroes, unfortunately are genuine zeros. One man is still on for the ton.
| S/N | T1 | T2 | CA/30 | Pass | 70% |
| 51004 | 100 | 100 | 30 | 14 | 57 |
| 68681 | 97 | 97 | 29.1 | 16 | 58 |
| 45948 | 98 | 92 | 28.5 | 16 | 59 |
| 49905 | 98 | 82 | 27 | 19 | 61 |
| 44985 | 94 | 86 | 27 | 19 | 61 |
| 93761 | 90 | 82 | 25.8 | 20 | 63 |
| 49846 | 82 | 85 | 25.05 | 21 | 64 |
| 93763 | 76 | 90 | 24.9 | 22 | 64 |
| 73974 | 76 | 86 | 24.3 | 22 | 65 |
| 72110 | 76 | 78 | 23.1 | 24 | 67 |
| 70110 | 82 | 68 | 22.5 | 25 | 68 |
| 74033 | 71 | 64 | 20.25 | 28 | 71 |
| 61502 | 76 | 54 | 19.5 | 29 | 72 |
| 72743 | 61 | 69 | 19.5 | 29 | 72 |
| 74238 | 76 | 51 | 19.05 | 30 | 73 |
| 61904 | 47 | 72 | 17.85 | 32 | 75 |
| 74049 | 65 | 44 | 16.35 | 34 | 77 |
| 74564 | 16 | 92 | 16.2 | 34 | 77 |
| 73685 | 76 | 28 | 15.6 | 35 | 78 |
| 59158 | 55 | 49 | 15.6 | 35 | 78 |
| 43371 | 95 | – | 14.25 | 37 | 80 |
| 61788 | 50 | 41 | 13.65 | 38 | 81 |
| 60831 | 50 | 41 | 13.65 | 38 | 81 |
| 70213 | 44 | 44 | 13.2 | 38 | 81 |
| 72983 | 86 | – | 12.9 | 39 | 82 |
| 71112 | 40 | 44 | 12.6 | 39 | 82 |
| 22204 | 81 | – | 12.15 | 40 | 83 |
| 59616 | 42 | 33 | 11.25 | 41 | 84 |
| 66644 | 39 | 36 | 11.25 | 41 | 84 |
| 46581 | 45 | 26 | 10.65 | 42 | 85 |
| 67367 | 39 | 32 | 10.65 | 42 | 85 |
| 69699 | 13 | 55 | 10.2 | 43 | 85 |
| 56925 | 21 | 37 | 8.7 | 45 | 88 |
| 77537 | 47 | 10 | 8.55 | 45 | 88 |
| 70398 | 55 | – | 8.25 | 45 | 88 |
| 73289 | 52 | 3 | 8.25 | 45 | 88 |
| 61939 | 50 | 3 | 7.95 | 46 | 89 |
| 56695 | 47 | 0 | 7.05 | 47 | 90 |
| 58461 | 24 | 23 | 7.05 | 47 | 90 |
| ??? | – | 42 | 6.3 | 48 | 91 |
| 61941 | 18 | 21 | 5.85 | 49 | 92 |
| 72127 | 23 | 10 | 4.95 | 50 | 93 |
| 74242 | 29 | 0 | 4.35 | 51 | 94 |
| 60829 | 21 | 0 | 3.15 | 53 | 96 |
| 76010 | – | – | 0 | 57 | 100 |
| 17751 | – | – | 0 | 57 | 100 |
| 44439 | – | – | 0 | 57 | 100 |
| 46134 | – | – | 0 | 57 | 100 |
| 15818 | – | – | 0 | 57 | 100 |
Week 12
Review tutorials: questions — Winter 2012 — one-to-one help
Week 13
Review tutorials in the lecture slots: questions — Winter 2012 — one-to-one help
Nothing in the tutorial slot Wednesday 13:30 – 15:30
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. For example this question on factorising quadratics: a very simple task which, incredibly, some of us are still unable to do.
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
Test 2 — on Laplace Methods — will now be held at tomorrow, Tuesday 30 April at 13:00 in B190. I have a sample ready here — for q.1(a) let 
Week 11 and Monday 29 April
We finished off line integrals and looked at double integrals and triple integrals.
Weeks 12 & 13
All slots (from now on) this week are review tutorials.
We will hold review tutorials in Week 13 at the usual lecture times (Wednesday and Thursday) in the usual lecture venues. There will be no review tutorials during the usual tutorial times.
First off, the layout of your exam will be exactly as per Winter 2012.
I will field any questions ye might have at this time and if there are no more questions we will do that Winter 2012 paper.
If we finish this paper I will help ye one-to-one.
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. For example this question about why 
Tutorials
One more week: yes the following table should be A-L and M-Z not A-L and K-Z!
J.P. McCarthy: Math Page 
Recent Comments