Section
 Teaching & Assessment Overview URL
Overlaps, Prerequisites, etc. • Past Exam Papers • Assessment Profile • Teaching Syllabus • Learning Outcomes and Assessment Criteria
 Reading List Reading lists online
 Online resourceNumerical analysis Richard L. Burden, J. Douglas Faires, Annette M. Burden 2016 (electronic resource)
Book Optional  Computing with Maple Wright, Francis J. c2002
Book Optional  Experimental mathematics with Maple Franco Vivaldi c2001
Book Optional
 Online resourceNumerical analysis Richard L. Burden, J. Douglas Faires, Annette M. Burden 2016 (electronic resource)
General Information
TIMETABLE
 Lectures: Monday 9:0010:00 (ArtsOne LT) and Wednesday 11:0013:00 (Scape G.14).
 Tutorials (beginning in Week 2): Thursday 14:0015:00 (weeks 24 and 6 in Engineering W.128D.1, weeks 5 and 712 in Bancroft 1.15a) and 15:0016:00 (Engineering W.128D.1).
 Office hour:
Monday 2:303:30Thursday 12:301:30, Queens' Building E302A.
ASSESSMENT
Your final mark for this module will be based entirely on the final exam (100%). Full information will be provided in due course, but you may wish to note the following at this stage:
 The exam will be computer based (you will write your answers in a Maple worksheet).
 The exam will be open book, meaning that you can use whatever resources you wish, but cannot communicate or attempt to communicate with anyone else. In particular, calculators are allowed.
 You should attempt all questions on the exam.
There will also be a computerbased midterm test in week 7. The test does not contribute to your final mark, but you will be given feedback on your answers and should view the test as part of your preparation for the final exam.
CONTENT
The module will cover the following topics, in approximately the order shown.
 Revision of Maple: basic operations; sequences, lists and sets; functions; plotting; vectors and matrices.
 Basic programming: control flow structures; procedures; flow charts; tracing and debugging.
 Numerical approximations and errors: absolute and relative errors; truncation errors; error propagation; stable and unstable iterations; illconditioned problems.
 Numerical solutions of equations: iterative method; bisection method; NewtonRaphson method; systems of equations.
 Calculation of eigenvalues and eigenvectors: power method; deflation.
 Numerical integration: Riemann sums; trapeze rule; Simpson's rule.
COURSEWORK
There will be weekly Maplebased coursework assignments, beginning in week 2. Coursework does not contribute to your final mark for the module (see above), but it is compulsory to submit answers to all coursework assignments, in accordance with the School's Student Engagement Policy. Coursework arrangements as follows:
 Coursework will be available on QMPlus by Wednesday afternoon each week (from week 2).
 Each coursework will have an exercise labelled (*), which you should answer in groups of three and submit for feedback by Tuesday evening of the following week.
 Each coursework will also have an exercise labelled (#), which will be discussed during the corresponding week's tutorial. (Other exercises will also be discussed in tutorials, if time permits.)
 Model solutions for all exercises will be uploaded to QMPlus shortly after the due date for submission each week.
You will be required to upload your answers to the (*) exercises via QMplus. Details on how to do this will be provided below..
INFORMATION ABOUT MAPLE
You may find the following technical information about Maple useful. It is taken, with permission and thanks, from Francis Wright's MTH4105 QMPlus page. Note, in particular, that you are able to obtain a free copy of Maple to use on your private computer (see the first link).
LECTURE NOTES
A full set of typeset lecture notes is available (in advance) below. Handwritten lecture notes (from the lectures themselves) will also be uploaded on a weektoweek basis, after the week's lectures. Note that some additional examples may be covered in lectures, compared with the typeset notes.
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OPTIONAL LITERATURE
Although the lecture notes define the module's assessable content, you may find the following optional literature useful:
 R. L. Burden, J.D. Faires and A. M. Burden, Numerical analysis, tenth edition, Cengage Learning, 2016. (There are also many older editions of this book, but the library has the tenth edition available as an ebook.)
 F. J. Wright, Computing With Maple, Chapman & Hall/CRC, 2002.
 F. Vivaldi, Experimental mathematics with Maple, Chapman & Hall/CRC, 2001.
My lecture notes will be largely based on the following previous lecture notes for this module. These are also optional, but you may find them useful:
 Hugo Touchette's notes (2008).
 Wolfram Just's notes (2013).
ATTENDANCE MONITORING
Your engagement with this module will be monitored in line with the School's Student Engagement Policy.
Week 1
LECTURE NOTES
A full set of typeset lecture notes is available under "general information" above. Handwritten lecture notes (from the lectures themselves) will also be uploaded here before the end of the week.
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ADDITIONAL MATERIALS
The following Maple worksheet summarises the revision material from Week 1 on the basic functionality of Maple. You are encouraged to work through it and add your own examples, to help make sure that you are familiar with all of the necessary concepts.
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COURSEWORK
There is no coursework in Week 1. The first coursework will be uploaded by Wednesday of Week 2.
Week 2
Lecture Notes
A full set of typeset lecture notes is available under "general information" above. Handwritten lecture notes (from the lectures themselves) will also be uploaded here by the end of the week. 932.5KB
 2.3MB
COURSEWORK
Please follow the link below to download Coursework 1 and to upload your solutions, which are due by 6pm on Tuesday 23/1. You must form groups of three and submit solutions to the question labelled (*). It is enough that one group member uploads solutions, but all three members' names and IDs must be clearly entered into the spaces provided at the top of the Maple file. The other questions are for discussion in this week's tutorials and/or for you to attempt in your own time. Model solutions to all questions will be uploaded here after the submission due date.
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Week 3
Lecture Notes
A full set of typeset lecture notes is available under "general information" above. Handwritten lecture notes (from the lectures themselves) will also be uploaded here by the end of the week. 1.7MB
 3.1MB
Additional Materials
COURSEWORK
Please follow the link below to download Coursework 2 and to upload your solutions, which are due by 6pm on Tuesday 30/1. You must form groups of three and submit solutions to the question labelled (*). It is enough that one group member uploads solutions, but all three members' names and IDs must be clearly entered into the spaces provided at the top of the Maple file. The other questions are for discussion in this week's tutorials and/or for you to attempt in your own time. Model solutions to all questions will be uploaded here after the submission due date.
Note: if (for whatever reason) you need to submit your work late, then please email it to me as you will not be able to submit via QMPlus after the deadline.
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Week 4
Lecture Notes
A full set of typeset lecture notes is available under "general information" above. Handwritten lecture notes (from the lectures themselves) will also be uploaded here by the end of the week. 1.8MB
 2.5MB
ADDITIONAL MATERIALS
Coursework
Please follow the link below to download Coursework 3 and to upload your solutions, which are due by 6pm on Tuesday 6/2. You must form groups of three and submit solutions to the question labelled (*). Please make sure that only one group member uploads solutions, but that all three members' names and IDs are clearly entered into the spaces provided at the top of the Maple file. The other questions are for discussion in this week's tutorials and/or for you to attempt in your own time. Model solutions to all questions will be uploaded here after the submission due date.
Note: if (for whatever reason) you need to submit your work late, then please email it to me as you will not be able to submit via QMPlus after the deadline. 181.2KB
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Week 5
Lecture Notes
A full set of typeset lecture notes is available under "general information" above. Handwritten lecture notes (from the lectures themselves) will also be uploaded here by the end of the week. 1.6MB
 2.9MB
ADDITIONAL MATERIALS
Coursework
Please follow the link below to download Coursework 4 and to upload your solutions, which are due by 6pm on Tuesday 13/2. You must form groups of three and submit solutions to the question labelled (*). Please make sure that only one group member uploads solutions, but that all three members' names and IDs are clearly entered into the spaces provided at the top of the Maple file. The other questions are for discussion in this week's tutorials and/or for you to attempt in your own time. Model solutions to all questions will be uploaded here after the submission due date.
Note: if (for whatever reason) you need to submit your work late, then please email it to me as you will not be able to submit via QMPlus after the deadline. 405.8KB
 77.8KB
Week 6
Lecture Notes
A full set of typeset lecture notes is available under "general information" above. Handwritten notes (from the lectures themselves) will also be uploaded here by the end of the week. 1.5MB
 3.3MB
ADDITIONAL MATERIALS
Coursework
Please follow the link below to download Coursework 5 and to upload your solutions, which are due by 6pm on
Tuesday 27/2 (i.e. in the week after reading week).
You must form groups of three and submit solutions to the question labelled (*). Please make sure that only one group member uploads solutions, but that all three members' names and IDs are clearly entered into the spaces provided at the top of the Maple file. The other questions are for discussion in this week's tutorials and/or for you to attempt in your own time. Model solutions to all questions will be uploaded here after the submission due date.
Note: if (for whatever reason) you need to submit your work late, then please email it to me as you will not be able to submit via QMPlus after the deadline. 210.6KB
 65.6KB
Week 7 (Test week)
INFORMATION
The timetable for the revision lecture and midterm test is as follows (but you should confirm this yourself):
 Revision lecture: Monday 19 February, 11:0012:00 in Drapers LT. I will go through some past test/exam questions in Maple, so you may wish to bring your laptops if possible (but the Maple file will also be available below after the lecture).
 Test: Tuesday 20 February, 16:0017:00 in Bancroft 1.15a and 1.23, or Engineering W128D.2 for students with special arrangements.
Further information:
 The test is NOT an examination component; the result will NOT contribute to your final grade for this module. You should, however, view the test as an opportunity to practice examlike questions under exam conditions.
 The test is computer based. As for coursework, you will download a Maple worksheet from QMPlus, add your answers to it, and then upload the file once the test is finished. The QMPlus 'assignment' for the test (which you can see below) will become available once the test begins. I will also ask you to email me your tests, as a backup in case something goes wrong with QMPlus.
 This test is open book. This means that you may access any information you want, but must work entirely by yourself. You may not communicate, nor attempt to communicate, with anyone else (except invigilators), nor solicit assistance in any way.
 The duration of the test is 40 minutes (except possibly for students with special arrangements). We will aim to start at 16:10 and finish at 16:50. You should arrive no later than 16:00, as you will need to start your computer and download the Maple worksheet. After the test finishes, you will be given an additional 5 minutes to upload/email your answers.
 All material from Week 1 to Week 6 (inclusive) is examinable. The style of the questions is similar to that of coursework questions and/or examples from lectures.
 You will use your normal college computer account for the test, so you should make sure that everything works properly well before the test. In particular, you should make sure that Maple will start and save files. If you have any problems then you will need to contact IT Services for help, which you can do by visiting Queens W209. (You may also use your own laptop/tablet computer if you prefer, but in this case you must assume all responsibility for their working correctly.)
REVISION LECTURE
MAPLE WORKSHEET AND INSTRUCTIONS
 MidTerm Test Assignment
Please follow the link to download your feedback, but note that (intentionally) no grade has been recorded because the midterm test does not contribute to your final grade for the module.
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Week 8
Lecture Notes
A full set of typeset lecture notes is available under "general information" above. Handwritten notes (from the lectures themselves) will also be uploaded here by the end of the week. 1.5MB
 3.1MB
ADDITIONAL MATERIALS
Coursework
Please follow the link below to download Coursework 6 and to upload your solutions, which are due by 6pm on Tuesday 6/3. You must form groups of three and submit solutions to the question labelled (*). Please make sure that only one group member uploads solutions, but that all three members' names and IDs are clearly entered into the spaces provided at the top of the Maple file. The other questions are for discussion in this week's tutorials and/or for you to attempt in your own time. Model solutions to all questions will be uploaded here after the submission due date.
Note: if (for whatever reason) you need to submit your work late, then please email it to me as you will not be able to submit via QMPlus after the deadline. 228.8KB
 75.5KB
Week 9
Lecture Notes
A full set of typeset lecture notes is available under "general information" above. Handwritten notes (from the lectures themselves) will also be uploaded here by the end of the week. 2.9MB
ADDITIONAL MATERIALS
Coursework
Please follow the link below to download Coursework 7 and to upload your solutions, which are due by 6pm on Tuesday 13/3. You must form groups of three and submit solutions to the question labelled (*). Please make sure that only one group member uploads solutions, but that all three members' names and IDs are clearly entered into the spaces provided at the top of the Maple file. The other questions are for discussion in this week's tutorials and/or for you to attempt in your own time. Model solutions to all questions will be uploaded here after the submission due date.
Note: if (for whatever reason) you need to submit your work late, then please email it to me as you will not be able to submit via QMPlus after the deadline. 264.8KB
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Week 10
LECTURE NOTES
A full set of typeset lecture notes is available under "general information" above. Handwritten notes (from the lectures themselves) will also be uploaded here by the end of the week.
 1.6MB
 2.4MB
ADDITIONAL MATERIALS
COURSEWORK
Please follow the link below to download Coursework 8 and to upload your solutions, which are due by 6pm on Tuesday 20/3. You must form groups of three and submit solutions to the question labelled (*). Please make sure that only one group member uploads solutions, but that all three members' names and IDs are clearly entered into the spaces provided at the top of the Maple file. The other questions are for discussion in this week's tutorials and/or for you to attempt in your own time. Model solutions to all questions will be uploaded here after the submission due date.
Note: if (for whatever reason) you need to submit your work late, then please email it to me as you will not be able to submit via QMPlus after the deadline. 198.3KB
 44.3KB
Week 11
LECTURE NOTES
A full set of typeset lecture notes is available under "general information" above. Handwritten notes (from the lectures themselves) will also be uploaded here by the end of the week.
 1.6MB
 2.7MB
ADDITIONAL MATERIALS
COURSEWORK
Please follow the link below to download Coursework 9 and to upload your solutions, which are due by 6pm on Tuesday 27/3. You must form groups of three and submit solutions to the question labelled (*). Please make sure that only one group member uploads solutions, but that all three members' names and IDs are clearly entered into the spaces provided at the top of the Maple file. The other questions are for discussion in this week's tutorials and/or for you to attempt in your own time. Model solutions to all questions will be uploaded here after the submission due date.
Note: if (for whatever reason) you need to submit your work late, then please email it to me as you will not be able to submit via QMPlus after the deadline. 142.7KB
 72.3KB
Week 12
LECTUREs
Since we finished all of the lecture material in Week 11, arrangements for lectures in Week 12 will be as follows:
 The Monday 9am lecture will be cancelled.
 On Wednesday at 11am, we will have a revision lecture as some of you expressed an interest in this. I will work through last year's exam, which is available below if you would like to attempt it beforehand. Please bring your computers, if you are able to. I will also post my solutions here after the lecture.
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Tutorials and COURSEWORK
There are no tutorials and no coursework this week, because all lecture material has already been covered in previous coursework.
If you have any questions about the module this week, please feel free to come see me during my office hour (12:301:30 Thursday) or just email me.
Final Exam
REVISION MATERIAL
 There will be a revision lecture on Tuesday 24 April, from 35pm. I am planning to work through the Maple worksheet of revision questions available below; if time permits I may also look at some past exam questions.

Past exams from 20142017 are available here. Please note the following if you are planning to use past exams for your revision:
 In 2015/16 the module contained various material that we did not cover this year, so you should be careful if using the 2016 exam for revision. In particular, the material on numerical solutions of ordinary differential equations is not examinable.
 Model solutions for the 2017 exam were discussed in the lecture on Wednesday 28 March, and are available under Week 12 above.
 Model solutions for the 2013, 2014 and 2015 exams are available below. These were all prepared last year, so if you spot any errors that I may have missed, please let me know and I'll correct them as soon as I can.
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EXAM INFORMATION
 The final exam will take place on Friday 4 May at 2:30pm, running for two hours (except possibly for those of you with special arrangements). Details of the venue(s) should have been emailed to you.
 The exam contributes 100% to your final grade for this module.
 The exam is computer based. As for the midterm test (and coursework), you will download a Maple worksheet from QMPlus, add your answers to it, and then upload the file once the exam is finished. A QMPlus 'assignment' for the exam will be available below in due course. I will also ask you to email me your exams, as a backup in case something goes wrong with QMPlus.
 You should attempt all questions.
 The exam is open book. This means that you may access any information you want, but must work entirely by yourself. You may not communicate, nor attempt to communicate, with anyone else (except invigilators), nor solicit assistance in any way. In particular, calculators are permitted.
 All material from lectures and coursework is examinable. The style of the questions is similar to that of coursework questions, midterm test questions, and/or examples from lectures.

You will use your normal computer account for the exam, so you should make sure that everything works properly well before the exam. In particular, you should make sure that Maple will start and save files. If you have any problems then you will need to contact IT Services for help, which you can do by visiting Queens W209. (You may also use your own laptop/tablet computer if you prefer, but in this case you must assume all responsibility for their working correctly.)
MAPLE WORKSHEET AND INSTRUCTIONS
You should receive a printed copy of the Exam Instructions at the exam venue(s), but you may wish to read them before hand. You will download the Maple worksheet for the exam from the Final Exam 'assignment' below, which will become available in due course. Please also familiarise yourself with the other two links below, to minimise the chances of technical issues with Maple arising during the exam.
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