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Test 1
The test will be Wednesday evening, 11 October, of Week 5. See Canvas (MATH6040 —> Assignments) for further details.
Week 4
We started working on matrices. We looked at Matrix Inverses — “dividing” for Matrices. This will allow us to solve matrix equations, including linear systems. We will also look at determinants.
Some deeper discussion here: Why do we multiply matrices like we do?, Why can’t I divide by zero?
Week 5
We will continue working on matrices, in particular how to solve matrix equations, including linear systems. We will also look at determinants.
Tutorials
The most important thing in your MATH6040 world is to attend tutorials regularly.
If BioEng2B students genuinely cannot make the Friday tutorial, they may come to the BioEng2A tutorial at 3 pm on Wednesdays in B260. This can continue as long as the number of students in that tutorial stays at 20 or below.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
If students genuinely cannot make the Friday tutorial, they may come to the BioEng2A tutorial at 3 pm on Wednesdays in B260. This can continue as long as the number of students in that tutorial stays at 20 or below.
Test 1
The test will be the Wednesday evening, 11 October, of Week 5. See Canvas (MATH6040 —> Assignments) for further details.
Week 3
We finished Chapter 1, and the material for Test 1, by talking at the applications of vectors to work and moments.
Week 4
We will start Chapter 2, on Matrices. We will look at Matrix Inverses — “dividing” for Matrices. This will allow us to solve matrix equations. We might also look at determinants.
Some deeper discussion here: Why do we multiply matrices like we do?, Why can’t I divide by zero?
Tutorials
I am still trying to sort out with BioEng2B the best slot for their tutorials. Unfortunately there was no room availability for Tuesday.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
Test 2
Test 2 is provisionally booked for the Wednesday of Week 11:
| 29/11/2023 | 18.00-19.00 | MATH6040 | Technological Maths 201 | 60+ | A – D |
The manuals are available in the Copy Centre (at a cost of €15.50). The newer batches don’t have the issue with the offset/bind, and the copy centre do apologise for this error.
Tutorials
The most important thing in your MATH6040 world is to attend tutorials regularly.
I have sent an email to BioEng2 about their Friday tutorial. There is a change proposed.
Test 1
The test will be the Wednesday evening, 11 October, of Week 5. See Canvas (MATH6040 —> Assignments) for further details.
Week 2
In Week 2 we spoke about vector products: the dot product and the vector product.
Week 3
In Week 3 we will finish Chapter 1, and the material for Test 1, by talking at the applications of vectors to work and moments.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
Test 2
Test 2 is provisionally booked for the Wednesday of Week 11:
| 29/11/2023 | 18.00-19.00 | MATH6040 | Technological Maths 201 | 60+ | A – D |
The manuals are available in the Copy Centre (at a cost of €15.50 cash, exact change if possible please) and should be purchased as soon as possible.
Tutorials
For this coming week, Week 2, please attend tutorials as per your timetables.
Week 1
We began our study of Chapter 1, Vector Algebra by studying the difference between a scalar (single number) and a vector (list of numbers). We looked at how to both visualise vectors and describe them algebraically. We learned how to find the magnitude and direction of a vector, add them and scalar multiply them.
Week 2
In Week 2 we will talk about displacement vectors; and vector products: the dot product and the vector product.
Test 1
The test will probably be the Tuesday evening, 11 October, of Week 5. Official notice will be given in Week 3. There is a sample test in the notes.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
Student Feedback
If you would like to give fully anonymous feedback on this module and my teaching please go here.
Week 12
We looked at the Winter 2021 paper for revision. It is in the back of the manual.
We will finish Q. 3 (c) early on Friday, and will have some tutorial time then for the final exam.
Students will receive one-to-one help in tutorial, but it will be up to students to decide what they want to look at; be it Vectors, Matrices, or Further Differentiation.
Final Exam Preparation
Your preparation for the test is doing exercises and knowing the content of the Chapter Summaries. There is an awful lot of exercises in Chapter 1 to 4. I recommend in particular:
- Vectors: p. 31, 41, 49
- Matrices: p. 76, 89, 104
- Further Differentiation: p. 188, 200, 215
After Test 2, students are probably as prepared as they can be for Integration… but possibly no harm to do some refresher questions.
There are past exam papers in the Week 11 announcement, but most of these questions appear already in the manual, either as examples we did in class, worked examples, marking schemes, or exercises.
If you want feedback on study, please check your work against answers in the the manual, and/or email me your work with any questions.
Mathematics Exam Advice
- You don’t have to answer questions in order Q. 1, Q. 2, etc. If you know in advance the structure of the exam, you can decide in advance what questions you are doing first, second, etc. This is related to:
- Read questions carefully. Don’t glance at a question and go off writing: take a moment to understand what you have been asked to do.
- Don’t use tippex; instead draw a simple line(s) through work that you think is incorrect.
If you do have time at the end of the exam, go through each of your answers and ask yourself:
- have I answered the question that was asked?
- does my answer make sense? If no, write that on your script, and then try and fix your solution.
- check your answer (e.g. if you are looking at something general, look at a special case; substitute your solution into equations; check your answer against a rough estimate; or what a picture is telling you; etc.). If your answer is wrong, write that on your script, and then try and fix your solution.
Student Feedback
If you would like to give fully anonymous feedback on this module and my teaching please go here.
Week 11
We finished Chapter 4 by looking at Related Rates and Implicit Differentiation.
The tutorials were less focused, with student recommended to work on whatever best serves them for revision.
Week 12
We will have finished the manual and so will look at the Winter 2021 paper for revision. It is in the back of the manual.
Students will receive one-to-one help in tutorial, but it will be up to students to decide what they want to look at; be it Vectors, Matrices, or Further Differentiation.
Tutorials
The most important thing in your MATH6040 world is to attend tutorials regularly. See here for more, including times and venues.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
Test 2
Test 2 is booked for the Tuesday of Week 11:
| 29/11/2022 | 18.00-19.00 | MATH6040 | Technological Maths 201 | 55 | A – C |
See Canvas —> MATH6055 —> Assignments, for more information, including sample tests (although note all those questions can be found in the Chapter 3 exerices).
Week 10
We finished looking at applications of partial differentiation to error analysis. Then we looked at parametric differentiation.
The tutorials were again be focused on Chapter 3. We got some tutorial time on Chapter 4 in lectures.
Week 11
We will finish Chapter 4 by looking at Related Rates and Implicit Differentiation.
The tutorials will be focused on Chapter 4.
Week 12
We will have finished the manual and so will look at the Winter 2021 paper for revision. It is in the back of the manual.
Students will receive one-to-one help in tutorial, but it will be up to students to decide what they want to look at; be it Vectors, Matrices, or Further Differentiation.
Tutorials
The most important thing in your MATH6040 world is to attend tutorials regularly. See here for more, including times and venues.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
Test 2
Test 2 is booked for the Tuesday of Week 11:
| 29/11/2022 | 18.00-19.00 | MATH6040 | Technological Maths 201 | 55 | A – C |
See Canvas —> MATH6055 —> Assignments, for more information, including sample tests (although note all those questions can be found in the Chapter 3 exerices).
Week 9
We drove into Chapter 4, talking first about transforms, and then functions of several variables and partial differentiation. We started talking about at applications of partial differentiation to error analysis.
The tutorials were focused on Chapter 3 aka Test 2. There was some Chapter 4 tutorial time in lectures.
Week 10
We will finish looking at applications of partial differentiation to error analysis. Then we will look at parametric differentiation.
The tutorials will again be focused on Chapter 3. We might get some tutorial time on Chapter 4 in lectures.
Week 11
We will hopefully finish Chapter 4 by looking at Related Rates and Implicit Differentiation.
The tutorials will be focused on Chapter 4.
Week 12
We will finish the manual and then start looking at the Winter 2021 paper for revision. It is in the back of the manual.
Students will receive one-to-one help in tutorial, but it will be up to students to decide what they want to look at; be it Vectors, Matrices, or Further Differentiation.
Tutorials
The most important thing in your MATH6040 world is to attend tutorials regularly. See here for more, including times and venues.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
No MATH6040 classes Friday 18 November (Week 9)
The Friday lecture will be preponed to Monday 14 November at 13:00 in B190. I appreciate this is not a good slot for all students, so I will point towards a video lecture that can partially substitute for it.
The Friday tutorial will be moved to Tuesday 15 November at 13:00 in B240.
Test 2
Test 2 is booked for the Tuesday of Week 11:
| 29/11/2022 | 18.00-19.00 | MATH6040 | Technological Maths 201 | 55 | A – C |
See Canvas —> MATH6055 —> Assignments, for more information, including sample tests (although note all those questions can be found in the Chapter 3 exerices).
Week 8
We will look at more applications of integration, to centroids and centres of gravity. We started Chapter 4 with a revision class on differentiation.
Week 9
We will drive into Chapter 4, talking first about transforms, and then functions of several variables and partial differentiation. We should be able to look at applications of partial differentiation to error analysis.
The tutorials will be focused on Chapter 3. We might get some tutorial time on Chapter 4 in lectures.
Outlook
We will complete Chapter 4 over Weeks 10 and 11. The tutorials in Week 11 will be focused on Chapter 3/Test 2, but Week 11 and possibly Week 12 will be focused on Chapter 4. Week 12 lectures will be revision.
Tutorials
The most important thing in your MATH6040 world is to attend tutorials regularly. See here for more, including times and venues.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
No MATH6040 classes Friday 18 November (Week 9)
The Friday lecture will be preponed to Monday 14 November at 13:00 in B190. I appreciate this is not a good slot for all students, so I will point towards a video lecture that can partially substitute for it.
The Friday tutorial will be moved to Tuesday 15 November at 13:00 in B240.
Week 7
We finished talking about completing the square and introduced integration by parts. Integration by parts comes from running the product rule of differentiation backwards. We also looked at applications to work.
Week 8
We will look at more applications of integration.
Outlook
We will start Chapter 4 in Week 9, and a sample test for Test 2, on Chapter 3, will appear in Week 9.
Tutorials
The most important thing in your MATH6040 world is to attend tutorials regularly. See here for more, including times and venues.
Study
Please feel free to ask me questions about the exercises via email.
Student Resources
Please see Student Resources for information on the Academic Learning Centre, etc.
Test 2
Test 2 is provisionally booked for the Tuesday of Week 12:
| 06/12/2022 | 18.00-19.00 | MATH6040 | Technological Maths 201 | 55 | A – C |
However, this is too late, it should be Week 11, but the Melbourn Hall is provisionally unavailable in Week 11.
I will try and book a large IT room for this test, and I will also try and wing us into the Melbourn for 29 November.
So Test 2 is 99% going to be Tuesday 29 November but just in case I have booked the Melbourn for 6 December. This will be finalised by Week 9.
J.P. McCarthy: Math Page 
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