You are currently browsing the category archive for the ‘MATH6040’ category.
Test 1
Test 1, worth 15%, takes place from 19:00 to 20:05 sharp, Tuesday 25 February in the usual lecture venue. There is a sample on P.53 of the notes to give you an idea of the length and layout only.
More information in last week’s summary.
If you want questions answered you have two options:
- ask me questions via email, perhaps with a photo to show your work
- ask me questions via the comment function on this website
Week 4
We had a Concept MCQ about vectors, and then we started looking at Chapter 2: Matrices. We did some examples of matrix arithmetic and look at Matrix Inverses — “dividing” for Matrices.
Here find a note that answers the question: why do we multiply matrices like we do?
We had no tutorial time.
Test 1
Test 1, worth 15%, takes place from 19:00 to 20:05 sharp, Tuesday 25 February in the usual lecture venue. There is a sample on P.53 of the notes to give you an idea of the length and layout only.
Everything in Chapter 1 is examinable. Additional practise questions may be found by looking at past MATH6040 exam papers (usually vectors are Q. 1, sometimes Q. 2).
You will want to be familiar with all the concepts in the Vector Summary, P. 49-52.
If you want questions answered you have three options:
- hand me up written work next week, which I will correct, scan, and email back to you
- ask me questions via email, perhaps with a photo to show your work
- ask me questions via the comment function on this website
Week 3
In Week 3 will found out how to calculate a vector product, and we looked at the applications of vectors to work and moments
We managed about 30 minutes of tutorial time.
Week 2
In Week 2 we finished talking about the scalar product before doing some tutorial work on the p.29 exercises.
We started talking about the vector product, but we did not show how to calculate it.
Homework/Study
How much time you put into homework is up to you: of course the more time you put in the better but we all have competing interests. Please feel free to ask me questions about the exercises via email, or even better on this webpage.
I would invite you to complete the exercises we started in class:
- P.29, Q.1-11
In addition, you can hand up your work in class and I will have it correct for the week after. You may need the formula that the area of a triangle is equal to 
Week 3
In Week 3 we will find out how to calculate a vector product, and we will look at the applications of vectors to work and moments
We might manage a little tutorial time.
Test 1
If we finish the Vectors chapter in Week 3 the test will be in Week 5 (this is very likely): otherwise we will push this out to Week 6. Official notice will be given in Week 3 (or Week 4 if necessary). There is a sample test in the notes.
Study
Please feel free to ask me questions about the exercises via email or even better on this webpage.
Academic Learning Centre
If you are a little worried about your maths this semester, perhaps after the Diagnostic Test or in general, I would just like to remind you about the Academic Learning Centre. Next week, some students will receive emails detailing areas of maths that they should brush up on. The timetable is here: there is some availability after 17:00 on Mondays and Tuesdays.
Student Resources
Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.
Strike!
There is 24 hour strike this Tuesday, and so we will have our Week 2 class on Wednesday 5 February, 19:00-22:00, in the same room, B188.
Diagnostic Test
If you haven’t already, you are invited to take the following ‘Diagnostic Test’:
click here
This ‘Test’ does not go towards your grade, but allows me to give you some feedback on where you are in terms of material you have seen before that will be used in this module.
Manuals
The manuals are available in the Copy Centre and must be purchased before next Wednesday’s class.
Mathematics Exam Advice
- The first piece of advice is 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.
- For equations, check your solution by substituting your solution into the original equation. If your answer is wrong and you know it is wrong: write that on your script.
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?
- check your answer (e.g. differentiate/antidifferentiate an antiderivative/derivative, substitute your solution into equations, check your answer against a rough estimate, or what a picture is telling you, etc)
Student Feedback
You are invited to give your feedback on my teaching and this module here.
Test 2 – Results
Have been emailed to you along with final CA results.
Week 12
We looked at centroids of laminas and centres of gravity of solids of revolution.
We had one and a half classes of tutorial time.
Week 13
There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):
- Monday 16:00
- Tuesday 09:00
- Thursday 09:00
We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.
- Monday at 09:00 in B180
- Monday at 17:00 in B189
- Wednesday at 10:00 in F1. 3
The exam is on Friday 13 December. Past exam papers (MATH6040 runs in Semester 1 and Semester 2) may be found here.
Student Feedback
You are invited to give your feedback on my teaching and this module here.
Test 2 – Results
Possibly early next week. I am a little behind in my corrections after being sick last week though. Definitely Thursday.
Week 11
We had our test on Monday, then will looked at completing the square, and work on Tuesday and Thursday.
Here is some video of revision antidifferentiation.
Week 12
We will look at centroids of laminas and centres of gravity of solids of revolution. Any spare lecture time will be given over to tutorial time.
Week 13
There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):
- Monday 16:00
- Tuesday 09:00
- Thursday 09:00
We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.
- Monday at 09:00 in B180
- Monday at 17:00 in B189
- Wednesday at 10:00 in F1. 3
The exam is on Friday 13 December.
Test 2
On Chapter 3, on at 5 pm (not 4 pm) Monday 25 November, Week 11 in Melbourne Hall. You will have one full hour.
The BioEng2B tutorial will take place from 4 pm sharp to 4.45 pm in B263 on that day.
Chapter 3: Differentiation is going to be examined. A Summary of Differentiation (p.147-8): you will want to know this stuff very well. You will be given a copy of these tables.
There is a sample test on p. 149 of the notes.
I strongly advise you that attending tutorials alone will not be sufficient preparation for this test and you will have to devote extra time outside classes to study aka do exercises.
Between tutorials and private study you really should aim to have completed as least the following:
- P. 113, Q. 1-6 (not 5c or 6iii)
- P. 119, Q. 1-4
- P. 127, Q. 1-4
- P. 138, Q. 1-3
- P. 146, Q. 1-4
- The Sample Test
There are more questions in most of these exercises.
If you are having any problem, take a photo of your work and email me your question.
Week 10
We started Chapter 4 on (Further) Integration with a revision of antidifferentiation, and had a look at Integration by Parts. We used implicit differentiation to differentiate inverse sine.
Week 11
We have our test on Monday, then we will look at completing the square, and work on Tuesday and Thursday.
Week 12
We will look at centroids of laminas and centres of gravity of solids of revolution. Any spare lecture time will be given over to tutorial time.
Week 13
There is an exam paper at the back of your notes — I will go through this on the board in the lecture times (in the usual venues):
- Monday 16:00
- Tuesday 09:00
- Thursday 09:00
We will also have tutorial time in the tutorial slots. You can come to as many tutorials as you like.
- Monday at 09:00 in B180
- Monday at 17:00 in B189
- Wednesday at 10:00 in F1. 3
The exam is on Friday 13 December.
Test 2
On Chapter 3, on at 5 pm (not 4 pm) Monday 25 November, Week 11 in Melbourne Hall.
The BioEng2B tutorial will take place from 4 pm sharp to 4.45 pm in B263 on that day.
Chapter 3: Differentiation is going to be examined. A Summary of Differentiation (p.147-8): you will want to know this stuff very well. You will be given a copy of these tables.
There is a sample test on p. 149 of the notes.
I strongly advise you that attending tutorials alone will not be sufficient preparation for this test and you will have to devote extra time outside classes to study aka do exercises.
Between tutorials and private study you really should aim to have completed as least the following:
- P. 113, Q. 1-6 (not 5c or 6iii)
- P. 119, Q. 1-4
- P. 127, Q. 1-4
- P. 138, Q. 1-3
- P. 146, Q. 1-4
- The Sample Test
There are more questions in most of these exercises.
If you are having any problem, take a photo of your work and email me your question.
Week 9
We looked at partial differentiation and its applications to differentials and error analysis.
I had hoped to do a Concept MCQ for Chapter 3 but we kind of ran out of time… I would ask ye to complete this (on your own) before Monday.
Week 10
We will start Chapter 4 on (Further) Integration. A good revision of integration/antidifferentiation may be found here, but this material will be gone through in Monday’s lecture..
Test 2
On Chapter 3, on at 5 pm (not 4 pm) Monday 25 November, Week 11 in Melbourne Hall.
The BioEng2B tutorial will take place from 4 pm sharp to 4.45 pm in B263 on that day.
Chapter 3: Differentiation is going to be examined. A Summary of Differentiation (p.147-8): you will want to know this stuff very well. You will be given a copy of these tables.
There is a sample test on p. 149 of the notes.
I strongly advise you that attending tutorials alone will not be sufficient preparation for this test and you will have to devote extra time outside classes to study aka do exercises.
Week 8
We finished looking at Related Rates and then we looked at and finished Implicit Differentiation.
I have video of the above material here.
We then start looking at Functions of Several Variables.
Week 9
We will look at partial differentiation and its applications to differentials and error analysis.
We might start Chapter 4 on (Further) Integration. A good revision of integration/antidifferentiation may be found here.
Test 1
Results and Marking Scheme have been emailed to you.
Test 2
On Chapter 3, is planned for 5 pm (not 4 pm) Monday 25 November. Please contact me if this poses a problem for you.
Outlook
For most students, Chapters 1 and 2 are easier and you will want to do well on them. Things are going to get a little harder for the rest of the semester and you will need to attend class regularly and prepare well for Test 2.
You have already been recommended to use your Reading Week:
“If you plan on doing some work on MATH6040 over the Reading Week, may I recommend looking at Chapter 2 exercises:
P. 95, Q. 1 (find b only), Q. 2-4
P. 85, Q. 1
P. 80, Q. 1-4
P. 84, Q. 1-2
P. 64, Q. 1-4 (remember BEMDAS — AD^T = A(D^T) not = (AD)^T)
If you are happy with these look at the differentiation revision: p.103, Q.1-2
You can email me at any time if you have any questions.
”
Week 7
We started Chapter 3 with a review of differentiation followed by a look at Parametric Differentiation.
Here are two videos if you missed this material:
We mentioned briefly the Reuleaux Triangle and it’s use in the “Harry Watt Square Drill Bit”. See here for an animation of how this works.
Week 8
We will finish looking at Related Rates and then look at Implicit Differentiation. If you are interested in a very “mathsy” approach to curves you can look at this.
J.P. McCarthy: Math Page 
Recent Comments