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.

Assignment 1

Assignment 1 had a hand-in time of 16:00 this Thursday March 3. I will extend this to 17:30. If you have the assignment completed on Thursday hand it to me in class otherwise drop it in A283. Work submitted after 17:30 on Thursday 3 March will be assigned a mark of zero. Hand up whatever you have on time.

Week 4

 

We looked at the heat distribution of a plate and also started chapter 2.

Week 5

We will finish looking at the method of undetermined coefficients..

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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.

Manuals

The manuals are available in the Copy Centre and must be purchased immediately. They are prices at €7.50. You also need to purchase graph paper.

If you have missed Excel labs (we have an Excel lab in odd-numbered weeks), you should get the lab off me in the lecture and do it on your own. There is a 15% Excel Test in Week 12.

Week 3

We had a fully-blown Excel lab. We will also learnt how to find mode — both graphically (using a histogram) and with a formula — of a frequency distribution. We will learn how to find the standard deviation, the Interquartile Range (graphically and with a formula), the coefficient of variation and the skewness.

We did one full exam question.

Week 4 and Beyond

We will then do three more full exam questions and then spend a lot of time letting you work on this material so that you will be very well prepared for your test in Week 7.

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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.

I have sent an email about indicating your availability for doing Maple at 18:00 and what Wednesday during Easter doesn’t suit you. 

I also sent an email to some of ye regarding manuals.

Week 3*

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 4*

We will introduce matrices as linear maps and discuss some of their properties.

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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 2

We looked at the applications of vectors to work and moments. We began Chapter 2: Matrices.

Week 3

We will look at how to do matrix multiplication and do some examples of matrix arithmetic. We might get to look at Matrix Inverses — “dividing” for Matrices.

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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.

Assignment: Typo

Question 1.2 (a). The right-hand side of the second equation is wrong. It should be c_1^2+10c_1 rather than c_1^2+10.

Catch-Up Lecture

The ‘Catch-Up’ Lecture will take place the Monday of Week 4, Monday 22 February at 09:00 in B214.

Week 3

If you download Maple (see Student Resources), there is a Maple Tutor that is easy to use and will help you with Gaussian Elimination. Open up Maple and go to Tools -> Tutors ->Linear Algebra -> Gaussian Elimination.

We did some examples of partial pivoting and then we looked at applications of Linear Systems: traffic flow and pipe networks.

Week 4

We will look at the heat distribution of a plate and perhaps start Chapter 2.

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TL;DR: The margin of error gets smaller with the proportion: the given margin of error is most relevant the closer to 50% the support.

Warning: I am taking the polls to be of the form

Will you vote for party X: yes or no?

There is more than a little confusion about the margin of error in political polling amongst the Irish political commentators.

Polls frequently come with margins of error such as “3%” and if a small party polls less than this some people comment that the real support could be zero.

In this piece, I will present a new way of interpreting low poll numbers, show how it is derived, further explain where the approximate 3% figure comes from and show what the calculation should be for mid-ranking proportions.

The main point is that none of these margins of error are accurate for small proportions.

For those who don’t like the mathematics of it all I will explain in a softer way why polling at 1-2% is very unlikely when your true support is 0.5%.

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The reality of the situation is that a far greater proportion than 5.2% of Leaving Cert students sitting Higher Level maths are presenting work that should confer less than 40% on their exam and those in the system know that the marking scheme receives a thorough massaging in order to get 94.8% of this cohort through.

A number of students are simply not allowed fail because failing 8-20+% of those sitting would be a political and logistical nightmare.

The final result of this fear of failing students, is the dumbing down of Higher Level maths and this is good for nobody.

I feel a solution to this is to do away with the pass/fail regime for maths: keep LC points for grades above 40% but mark the papers properly. This would effectively do away with the requirement for a pass in maths for third level courses, save for those such as engineering and science who want students with certain grades.

This will allow students take on Higher Level maths in good faith with the knowledge that if they do get less than 40%, it will not be a total disaster and they will still be able to attend a third level institution.

There is still a cut off in that 35% would confer 0 points and 40% would confer 70 points but this cut-off already exists (in theory!) but it is the failing not the lack of points that is somehow forcing the Department of Education to pass these students who really should be failing.

We should keep the bonus points for higher level maths because we should want our pupils to have good maths skills for the smart economy. However, at the moment, the stick of failing is proving to have more impact than the carrot of the 25 extra points.

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.

Manuals

The manuals are available in the Copy Centre and must be purchased immediately. They are prices at €7.50. You also need to purchase graph paper.

Week 2

We revised MATH6000 material and introduced frequency distributions. We saw how to construct a frequency distribution, we saw a stem-and-leaf plot, we saw a histogram, an ogive. We saw how to calculate the mean of a frequency distribution and also how to calculate the median — both graphically (with an ogive) and via a formula.

Week 3 and Beyond

We will have a fully-blown Excel lab. We will also learn how to find mode — both graphically (using a histogram) and with a formula — of a frequency distribution. We will learn how to find the standard deviation, the Interquartile Range (graphically and with a formula), the coefficient of variation and the skewness.

We will then do four full exam questions and then spend a lot of time letting you work on this material so that you will be very well prepared for your test in Week 7.

Read the rest of this entry »

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.

I have sent an email about indicating your availability for doing Maple at 18:00 and what Wednesday during Easter doesn’t suit you. 

I also sent an email to some of ye regarding manuals.

Week 2*

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 3*

We will probably just do more examples of solving linear systems.

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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.

There has been a change in your timetable. Thursday’s lecture now takes place in B260 rather than B245.

Manuals

The manuals are  available in the Copy Centre and must be purchased immediately.

Week 2

We continued working with the dot product and then introduced the cross product.

Week 3

We will look at the applications of vectors to work and moments. We might begin Chapter 2: Matrices.

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