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## Test 1 – Results

Have been emailed to you,

## Week 6

We finished Chapter 2 by looking at Determinants and Cramer’s Rule. Ye did an example in class, video here: Cramer’s Rule Example

The new material was recorded here.

We had about 90 minutes of tutorial time looking at Chapter 2.

## Test 1 – Results

I will have these to you by the end of the week.

## Week 5

After our test, we continued to look at Matrix Inverses — “dividing” for Matrices. This allowed us to solve matrix equations. We will look at linear systems, and spoke again about determinants.

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.

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..

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