## 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.

## Academic Learning Centre

If you are a little worried about your maths this semester, perhaps after the Quick Test or in general, I would just like to remind you about the Academic Learning Centre. Most students received slips detailing areas of maths that they should brush up on. The timetable is here.

## Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

## CIT Mathematics Exam Papers

These are not always found in your programme selection — most of the time you will have to look here.

## Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc.

## 6 comments

Comments feed for this article

December 10, 2019 at 11:21 am

StudentHi J.P.

Just regards Autumn 2018, Q. 1 ii? It says to show the vectors are perpendicular but their dot product does not equal zero?

December 10, 2019 at 11:24 am

J.P. McCarthyI find

and

.

.

Regards,

J.P.

December 12, 2019 at 8:21 am

StudentEvening,

Sorry to disturb you so late, I’m a little confused here on Q 1 (b) i. from the Winter 2017 paper.

How does

give

.

Clearly each coefficient of is multipiled by two, but here they are multiplied by 260?

Regards.

December 12, 2019 at 8:25 am

J.P. McCarthyLet us note that .

We know that is of magnitude 260 and in the direction of .

, and so .

If we cannot see that 260 is twice 130, or if these magnitudes are not comparable, instead we find a unit vector in the direction of :

,

and

.

Regards,

J.P.

December 12, 2019 at 12:11 pm

StudentHi J.P.,

Just to clarify, sorry I know you explained already, could you show me how to answer part c.

December 12, 2019 at 12:19 pm

J.P. McCarthyPart i is

Part ii, we want to get rid of the to get on its own. To do this we multiply both sides (on the left) by :

.

is given in part iii. and so

Fix the constant .Multiply the matrix by the matrix to get a matrix. Multiply (all entries) by .

This is the vector

Regards,

J.P.