J.P. McCarthy: Math Page

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.

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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 1 – Warning

Assignment 1 has a hand-in time and date of 14:30 Friday 2 March (Week 5) and has been given out.

This assessment is worth 15% of your final grade. The corresponding question on the final exam is worth 24.5% of your final grade. This assessment is designed to aid your understanding of this topic and go on to score well in the final exam. 

Careful in your “collaboration” — don’t take an explanation, etc. from another
student unless it makes sense to you: otherwise you are not going to get the benefit out of completing this assignment.

Postponed Lecture

There will be no class this coming Monday, 19 February. This class will instead take place at 13:00 on Tuesday, 20 February: in B212.

Week 3

We looked at applications to temperature distribution, where the Jacobi Method is used to find approximate solutions to a diagonally dominant linear system. We started work on Chapter 2 — the method of undetermined coefficients for solving linear odes.

In tutorial you worked on applications of linear systems (flow networks and plates).

Week 4

We will continue our work on Chapter 2 — the method of undetermined coefficients for solving linear odes.

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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 3

We finished our work on Taylor Series, and used it to analyse the errors when using the Euler Method.

In VBA we should all have been able to finish Lab 2 (certainly up to automatic selection, p.108). Those who did so started on a Newton Cooling program. Students who have not completed these two programs (damper and Newton Cooling), are advised to work on them outside class.

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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.

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.

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.

Week 2

We finished looking at Gaussian Elimination (including Gaussian Elimination with Partial Pivoting — absolutely necessary if you are rounding.).

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

We looked at applications to network flows: traffic and pipes.

Week 3

We will look at applications of linear systems to temperature distribution.

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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 developed the Euler Method for approximating the solution of differential equations. As we will need Taylor Series to analyse the error in this approximation — and improve Euler’s Method — we started looking at that.

In VBA we started programming the Euler Method to solve the problem of a damper.

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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 1

We started the first chapter on Linear Algebra. Essentially, for us, simultaneous equations. We looked at Gaussian Elimination including Partial Pivoting, which is required in the presence of rounding.

If you download the software package Maple (see the Student Resources tab at the top of this page), there is a Maple Tutor that is easy to use and will help you. Open up Maple and go to Tools -> Tutors ->Linear Algebra -> Gaussian Elimination.

Week 2

We will do some more examples in class before giving you some opportunity to practise.

Assessment 1

Assessment 1 has a hand-in date of Friday 2 March (Week 5). Expect to see the assignment next week.

Study

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

Student Resources

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

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

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.

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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 1

In Week 1, by briefly looking at a number of examples (many of which we have seen before), we had a review of some central ideas from approximation theory such as approximation, measurement error, accuracy & precision, iteration, convergence, meshing, error, big notation, etc.

In VBA we had a quick review lab, focussing on plotting data, command buttons, message boxes, input boxes, If-statements and do-loops.

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