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.
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