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***These starred week numbers are one behind CIT’s week numbers. This is because of the snow.**

## Linear Algebra: 20% Test

Takes place Wednesday 21 March, in Week 7* [21 March].

The test will take place from 19:00-20:30 but most students should be able to complete the test in about an hour. It has about 35 Marks worth of questions: five in all (with one very short, and three shortened versions of longer questions).

Anything done in the first five weeks is examinable (see “Independent Learning” below) and it is recommended that you understand what is going on with the summaries of p. 57-59.

The nine questions from p. 60 on are a good revision but not every possible question is listed there.

## Week 6* [14 March]

We started the class with one more example of Cramer’s Rule, and then started pushing into statistics, looking at everything up to and including standard deviation.

In Maple, we did Lab 3, which was really revision for the Linear Algebra Test.

## Week 7* [21 March]

The test is going to begin at 19:00 sharp and run until 20:30. Class will resume at 20:35 sharp. This seems a very short break but the test is designed so that it shouldn’t take much longer than an hour to complete, so almost everyone should have a solid enough break.

At 20:35 we will continue working on statistics by looking at frequency distributions.

## Week 8* *Snow Day Catch Up* [28 March]

This may or may not be a Maple night (it depend on how far we get in the previous week).

Any students who cannot make this class should email me and request that the class be recorded (I might not be able to record all of the class but most of it.

We will return to class after Easter 11 April.

***These starred week numbers are one behind CIT’s week numbers. This is because of the snow.**

## Linear Algebra: 20% Test

Will now take place Wednesday 21 March, in Week 7* [21 March].

The test will take place from 19:00-20:30 but most students should be able to complete the test in about an hour. It has about 35 Marks worth of questions: five in all (with one very short, and three shortened versions of longer questions).

Anything done in the first five weeks is examinable (see “Independent Learning” below) and it is recommended that you understand what is going on with the summaries of p. 57-59.

The nine questions from p. 60 on are a good revision but not every possible question is listed there. In next week’s Maple you will get a chance to revise these questions.

## Week 5* [7 March]

We saw how linear systems can be written as matrix equations, and (sometimes) solved using matrix inverses. Then we spoke about determinants, and their use in figuring out if homogeneous linear systems have non-zero solutions. Finally we looked at Cramer’s Rule.

## Week 6* [14 March]

We will start the class with one more example of Cramer’s Rule, and then start pushing into statistics.

In Maple, we will do Lab 3, which is really revision for the Linear Algebra Test.

## Week 7* [21 March]

The test is going to begin at 19:00 sharp and run until 20:30. Class will resume at 20:35 sharp. This seems a very short break but the test is designed so that it shouldn’t take much longer than an hour to complete, so almost everyone should have a solid enough break.

At 20:35 we will continue working on statistics.

## Week 8* [28 March/4 April]

This may or may not be a Maple night (it depend on how far we get in the previous week).

It appears that at most one student will miss the class, which isn’t too bad. So now we now go back to the poll to pick between the two nights.

**I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.**

## Week 4

We worked with matrix inverses, seeing how the Gauss-Jordan algorithm can be used to calculate the inverse of a matrix. We solved a matrix equation.

Here find a corrected Example 2 from p. 39. In class, I made a slip in the third frame. The row operations are the same.

The final answer is therefore

.

We also had our second Maple lab.

## Week 5

We will see how linear systems can be written as matrix equations, and solved using matrix inverses. Then we will talk about determinants, and perhaps push towards the end of Chapter 1.

## Linear Algebra: 20% Test

Will take place Wednesday 14 March, in Week 7.

## Maple Catch Up

If you have missed the first lab you have two options: either download Maple onto your own machine (instructions may be found here) or come into CIT at another time to use Maple.

Go through the missed lab on your own, doing *all* the exercises in Maple. Save the worksheet and email it to me.

**I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.**

## Maple

Information on how to download Maple to your own machine may be found here.

We will have our second Maple Lab next week (Week 4: 21 March 2018).

If you have missed the first lab you have two options: either download Maple onto your own machine or come into CIT at another time to use Maple.

Go through the first lab on your own, doing *all* the exercises in Maple (Exercises 1, 2, and 3). Save the worksheet and email it to me.

If you have never done Maple before you might want to do a Lab or two with me before catching up.

## Week 3

We did some examples of matrix arithmetic and looked at the concept of a matrix inverse.

We had our first Maple Lab

## Week 4

We will continue working with matrix inverses, seeing how the Gauss-Jordan algorithm can be used to calculate the inverse of a matrix.

We will have our second Maple lab.

**I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.**

## Maple

Information on how to download Maple to your own machine may be found here.

We will have Maple next week (Week 3: 14 March 2018).

## Week 2

We did one more example of Gaussian elimination and then we introduced matrices as linear maps and discuss some of their properties.

For those of you interested in the *why* when it comes to matrix multiplication, have a look here.

We hoped to have a Maple class but the software was not on the machines in C128.

## Week 3

We will continue working with matrices and perhaps introduce matrix inverses.

We will have our first Maple lab.

## Maple

We will have our first Maple Lab next week. Information on how to download Maple to your own machine may be found here.

It looks like numbers dictate that we must have a Lab split for Maple.

The options are:

**Group 1 – Starts at 18:00 and Finishes at 20:50:**

Wednesdays 18:00-19:05 – Maple Lab in room C128

Wednesdays 19:15-20.50 – Theory class in room C214

**Group 2 – Starts at 19:15 and Finishes at 22:00:**

Wednesdays 19:15-20.55 – Theory class in room C214

Wednesdays 20:55-22:00 – Maple Lab in room C128

Please fill out your preference here. This will be the split for every Maple Lab in future.

The Maple labs will *probably *be in odd-numbered weeks.

## Week 1

After introductions, we looked at systems of linear equations and introduced the idea of writing them in augmented matrix form and simplifying using Gaussian Elimination. We will discuss how to determine if the linear system has a unique, infinite or no solution.

## Week 2

We will do one more example and then move on to looking at Matrices in more generality.

There are a number of ways of explaining why you cannot divide by zero. Here are my two favourites.

## Any Set of Numbers Collapses to a Single Number

How old are you? Zero years old.

How tall are you? Zero metres old.

How many teeth do you have? Zero.

How many Superbowls has Tom Brady won? Zero

Yep, if you allow division by zero you only end up with one number to measure everything with.

## Maple Test

The Maple Test will be open book and any resource that you can access at your workstation you are free to use.

You have a sample Maple Test with solutions. The Maple Test will not include anything from Chapter 2.

You must come in at the time given below (if the time doesn’t suit contact me ASAP):

## Student Feedback

If you would like to submit anonymous feedback on this module/lecturer, you may take the do so here. This link will be open until May 12.

## Maple Catch Up

A number of students have not handed in Maple work. If you want to catch up you have two options

- download the Maple file from your email, do the exercises in Maple (either in a new worksheet or on top of the original file with the exercises), save the worksheet and email me the worksheet you were working on.
- come in at 18:00 on Wednesday 11 May in Week 13 for a Maple session.

## Week 11 – Maple Night

We looked at the Poisson distribution and the normal distribution.

## Week 12 – Maple Test

We will speak about sampling and also introduce control charts.

## Week 13 – Review

We will hold a review class on Wednesday 11 May in the usual room. First off, the *layout* of your exam is the same as Summer 2015 (in the back of your notes): do question one worth 50/100 and two out of questions two, three, four; each worth 25/100.

I will field any questions ye might have at this time and if there are no questions we will do this exam paper. The best possible thing for your study is to do this exam paper and then on Wednesday see how you got on.

## Independent Learning: Exercises

You are supposed to be working outside of class and I am supposed to help you with this. Working outside of class means doing the exercises in the notes. Any work that is handed up will be corrected by me. Also you can ask me a question here on this site and I will answer it ASAP.

- Poisson Distribution: Q. 1-9
- Normal Distribution: Q. 5(a)-(c), 6, 7(a), 8(a)-(c), 9, 10(a)-(b)

These are good questions to look at — I am not saying that you should do *ALL *of them.

## Maple Labs — Wednesday 27 April is a ‘Maple’ Night

Due to the large number of students attending the module *MATH6038 **Mathematics for Science 2.2*, we now have to introduce **a lab split. **

If your name is listed under February 2016, 17 Wednesday, 6.00 pm here (i.e. the first column), you should come in at 18:00. Otherwise come in for a 19:15 start.

The following is the proposed schedule for **Weeks 11 and 12(test)**

**Group 1 – Starts at 18:00 and Finishes at 20:50:**

Wednesdays 18:00-19:05 – Maple Lab in room C128

Wednesdays 19:15-20.55 – Theory class in room C214

**Group 2 – Starts at 19:15 and Finishes at 22:00:**

Wednesdays 19:15-20.55 – Theory class in room C214

Wednesdays 20:55-22:00 – Maple Lab in room C128

## Student Feedback

If you would like to submit anonymous feedback on this module/lecturer, you may take the do so here. This link will be open until May 12.

## Week 10

We did a lot of work on probability — tree diagrams, reliability block diagrams and the binomial distribution.

## Week 11 – Maple Night

We will look at the Poisson distribution, the normal distribution and talk about sampling.

## Week 12 – Maple Test

We will speak about sampling in more detail and also introduce control charts.

The Maple Test will be open book and you will have already received a sample test with solutions. You have a sample Maple Test with solutions. The Maple Test will not include anything from Chapter 2.

## Week 13 – Review

We will hold a review class on Wednesday 11 May in the usual room. First off, the *layout* of your exam is the same as Summer 2015 (in the back of your notes): do question one worth 50/100 and two out of questions two, three, four; each worth 25/100.

I will field any questions ye might have at this time and if there are no questions we will do this exam paper. The best possible thing for your study is to do this exam paper and then on Wednesday see how you got on.

## Independent Learning: Exercises

You are supposed to be working outside of class and I am supposed to help you with this. Working outside of class means doing the exercises in the notes. Any work that is handed up will be corrected by me. Also you can ask me a question here on this site and I will answer it ASAP.

- Tree Diagrams: P.93, Q.1-4
- Reliability Block Diagrams: P. 98, Q. 1-3, 5, 7
- Binomial Distribution: P.102, Q. 1, 3-5, 9-11, 13-14, 16, 17

These are good questions to look at — I am not saying that you should do *ALL *of them.

## Week 9

We did one more exam question on statistics before moving on to Probability.

## Week 10

We will have a lot of probability to do — tree diagrams, reliability block diagrams, the binomial distribution, the Poisson distribution.

You have a sample Maple Test with solutions. The Maple Test will not include anything from Chapter 2.

## Week 11 – Maple Night

We will look at the normal distribution and talk about sampling.

## Week 12 – Maple Test

We will speak about sampling in more detail and also introduce control charts.

The Maple Test will be open book and you will have already received a sample test with solutions.

## Week 13 – Review

We will hold a review class on Wednesday 11 May in the usual room. First off, the *layout* of your exam is the same as Summer 2015 (in the back of your notes): do question one worth 50/100 and two out of questions two, three, four; each worth 25/100.

I will field any questions ye might have at this time and if there are no questions we will do this exam paper. The best possible thing for your study is to do this exam paper and then on Wednesday see how you got on.

## Independent Learning: Exercises

You are supposed to be working outside of class and I am supposed to help you with this. Working outside of class means doing the exercises in the notes. Any work that is handed up will be corrected by me. Also you can ask me a question here on this site and I will answer it ASAP.

P.80, Q.1-3, P.87, Q. 1, 2, 5, 7

## Maple Catch Up

A number of students have not handed in Maple work. If you want to catch up you have two options

- download the Maple file from your email, do the exercises in Maple (either in a new worksheet or on top of the original file with the exercises), save the worksheet and email me the worksheet you were working on.
- come in for a double Maple session on a ‘Maple’ night.

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