## Student Feedback

If you would like to give fully anonymous feedback on this module and my teaching please go here.

Usually I use the student feedback to get ideas to improve my delivery of a module. As I have referred to numerous times this semester, there are obvious ways to improve my delivery of MATH6004 (e.g. edit out the so-many typos, have more exercises in the manual, etc.), and I know myself how I can improve my delivery for next year.

Now, maybe you might give my ideas I haven’t thought about, but to be honest the main reason I am giving the fully anonymous feedback mechanism to ye is to give you a chance to have your say, and have me listen to you, and if that includes being very critical so be it. It is important to me not just that your voice is listened to but that you have a voice and you are given this opportunity to say your bit.

## Scanned Notes

Go to Canvas -> MATH6004 -> J.P. McCarthy to find some of the notes scanned.

## Quizzes 4 and 5

Quiz 4 will be based on what we covered in Week 10 and will take place Monday 24 April in the usual lecture venue, 15:05-15:20.

Quiz 5 will take place Wednesday 3 May in the usual lecture venue, 11:05-11:20. If this clashes with something, it is your responsibility to contact me. I could move it to Tuesday 2 May in that case.

Quiz 5 will be four quizzes in one: it will be (fairly different) versions of Quizzes 1, 2 (harder), 3, 4, and you pick the one you want to do.

Your 10% quiz grade will be the best four quizzes that you complete from the five opportunities.

## Weeks 11

One thing that is not in the MANUAL is the transpose of a matrix. We covered this on Monday. Two things you want to know:

(1) The transpose of a matrix $A$ is a matrix $A^T$ formed by swapping the rows and columns of $A$, e.g.

$\begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \end{bmatrix}^T=\begin{bmatrix}1 & 4 \\ 2 & 5 \\ 3 & 6\end{bmatrix}$

(2) If $A$ is an $m\times n$ matrix then $A^T$ is an $n\times m$ matrix.

We started looking at matrix inverses, and the formula for calculating the inverse of a 2×2 matrix. We learned that not every matrix has an inverse, and how the determinant can be used to determine if a matrix has an inverse. We saw how matrix inverses can be used to solve matrix equations, and how (linear) simultaneous equations can be written as a matrix equation (a linear system), and if the matrix of coefficients has an inverse, the solution of the linear system is unique. We learned that linear systems can also have no solution, or infinitely many solutions, and we saw how Gaussian elimination can be used to see if a linear system that does not have a unique solution has no solutions or infinitely many solutions.

## Week 12

We have our quiz on Monday, and after this we will finish Chapter 3 with the Gauss-Jordan algorithm, and then hopefully have some extra tutorial time.

Have you heard about Maths Online on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year.

We also use the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible.

Please log on to Maths online to book a maths appointment, book a place in a supported maths study session or request a workshop Links to an external site..

If you have any other question about our Maths and Stats supports email us on Academic.Learning@mtu.ie

## Assessment

Week 3: 2.5% Quiz 1

Week 6: 2.5% Quiz 2

Week 7: 20% Test

Week 9: 2.5% Quiz 3

Week 12: 2.5% Quiz 4

Week 13: 2.5% Quiz 5

Your quiz score will be best four of five.

70% Terminal Exam