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.

20% Written Assessment 1

The first written assessment takes place Tuesday 7 March at 09:00 in B242.

Here you can see type of questions which you will have to be able to answer in the first test.

The questions are divided into P, M and D:

  • P are pass questions and test your ability to implement methods and show basic understanding.
  • M are merit questions and test your ability to solve slightly harder problems as well as understand error.
  • D are distinction questions and test your ability on solve hard problems, generalised problems as well show a deeper understanding.

Your Test will have, roughly,

  • 30 Marks of P questions
  • 40 Marks of M questions
  • 10 Marks of D questions

See here for some worked examples.

20% VBA Assessment 1

The first VBA Assessment takes place Tuesday 14 March in A285 at the usual times.

“I have decided that you will not be allowed any resources other than the library of code and formulae at the end of the assessment. Furthermore the digits of your student number will be used to personalise your assessment(!). Also there will be an Assessment A and an Assessment B.”

The VBA assessment tests your ability to write programs to tackle a specific problem. If you do everything correctly, you can use Euler’s Method only but the most you can get is 80%. To get more than 80% (and get marked out of 100%) you will have to implement Heun’s Method.

There will be two problems.

Problem 1: First Order Initial Value Problem with Parameters [80%]

If you are comfortable writing a VBA program that implements Heun’s Method, and your program is correct, you get 70% by doing Part B ii. There is an additional 10% available if you can use the program to analyse the problem.

If you are comfortable writing a VBA program that implements Euler’s Method, and your program is correct, you get 55% by doing Part B i. There is an additional 10% available if you can use the program to analyse the problem.

If you can implement Heun’s Method on a worksheet (given parameters), you can get 20% by doing Part A i.

If you can implement Euler’s Method on a worksheet (given parameters), you can get 15% by doing Part A i.

Problem 2: Second Order Initial Value Problem without Parameters [20%]

This is in a non-VBA environment.

5% for writing the second order initial value problem as two first order problems.

15% for solving the system on a worksheet using Heun’s Method.

10% for solving the system on a worksheet using Euler’s Method.

More detailed information outline (including practise questions).

sample (with a messy Problem 1) with Excel and VBA work sent to you as an attachment.

LEARNING CODE ‘OFF’ IS A RECIPE FOR DISASTER.

You need to understand what you are doing.

Week 5

We introduced the full Runge-Kutta Theory.

In VBA we look at second order systems using Euler’s Method

Week 6

We start looking at Boundary Value Problems.

In VBA we look at implementing Runge-Kutta Methods.

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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.

Quiz 3 Results

Below find the results. You are identified by the last four digits of your student number unless you are excelling. The marks are out of 2.5 percentage points. Your best eight quizzes go to the 20% mark for quizzes. The R % column is your running percentage (for best eight quizzes). The QPP is your Quiz Percentage Points. MPP is your Maple percentage points. GPP is your gross percentage points. One student didn’t write down their name for Quiz 3. They should email me.

S/N Q1 Q2 Q3 R% QPP MPP GPP
Nolan 2.43 2.5 2.5 99.1 7.43 1.5 8.93
Connolly 2.17 2.5 2.5 95.6 7.17 1.5 8.67
O’Sullivan, K. 2.17 2.5 2.5 95.6 7.17 1.5 8.67
1480 2.5 2.5 2.07 94.3 7.07 1.5 8.57
1486 2.24 2.4 92.8 4.64 1.5 6.14
8212 2.37 2.5 2.07 92.5 6.94 1.5 8.44
8332 2.37 1.22 2.5 81.2 6.09 1.5 7.59
2073 0.99 2.5 2.5 79.9 5.99 1.5 7.49
2327 2.5 1.72 1.2 72.3 5.42 1.5 6.92
2942 1.71 1.7 1.74 68.7 5.15 1.5 6.65
2128 2.24 0.4 2.28 65.6 4.92 1.5 6.42
3703 1.71 1.2 1.85 63.5 4.76 1.5 6.26
8426 2.24 2.5 0 63.2 4.74 1.5 6.24
1298 0.46 1.9 1.74 54.7 4.1 0 4.1
7879 1.12 2.5 0 48.3 3.62 1.5 5.12
3481 1.71 0.3 1.04 40.7 3.05 1.5 4.55
2257 0.53 0.6 1.74 38.3 2.87 1.5 4.37
3872 0.26 0 2.5 36.8 2.76 1.5 4.26
2237 1.71 0 0.98 35.9 2.69 1.5 4.19
1321 1.45 0.4 0.76 34.8 2.61 1.5 4.11
2070 0.33 0.2 2.07 34.7 2.6 1.5 4.1
9896 1.97 0 0 26.3 1.97 0 1.97
8354 0.39 0 0.22 8.13 0.61 1.5 2.11
8425 0 0.4 8 0.4 1.5 1.9
9555 0.53 0 0 7.07 0.53 0 0.53
9951 0.53 0 0 7.07 0.53 0 0.53
7209 0.39 0 0 5.2 0.39 0 0.39
4402 0 0 0 0 0 0 0
2092 0 0 0 0 0 0 0

Maple Labs

The Maple Lab takes place in C128.

The 15 individuals who responded to the poll and wanted to start at 18:00 (below) are guaranteed a spot in the early sitting. If there is space for more they can be accommodated, otherwise they have to start at 19:15 and do Maple at 20:55. Note there is a smaller class for the later Maple. If you are struggling with Maple you could consider switching to the later class to get more attention.

maple-split

The following is the proposed schedule for Weeks 3, 5, 7, 8, 10, 11:

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

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

Wednesdays 19:15-19:30 – Weekly Quiz in C212

Wednesdays 19:30-20.50 – Theory class in room C128

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

Wednesdays 19:15-19:30 – Weekly Quiz in C128

Wednesdays 19:30-20:50 – Theory class in room C212

Wednesdays 20.55-22:00 – Maple Lab in room C128

In weeks where there is no Maple Lab, the quiz will take place from 19:00-19:15 sharp.

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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.

Assessment 1

The hand in date is 14:00 Friday 3 March. If you have the assignment completed on Thursday hand it to me in class otherwise drop it in A283. Work submitted after 14:00 on Friday 3 March will be assigned a mark of zero. Hand up whatever you have on time.

Week 4

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

Week 5

We will finish working on Chapter 2.

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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.

Test 1

The 15% Test 1 will take place at 09:00 on Wednesday 1 March, Week 5, in B149. There is a sample test in the notes.

Week 4

We did some examples of matrix arithmetic and looked at Matrix Inverses — “dividing” for Matrices.

As an application we solved matrix equations and linear systems.

Week 5

We will look at Determinants and their use in Cramer’s Rule.

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.

Written Assessment 1

The first test takes place Tuesday 7 March at 09:00 in B242.
Here you can see type of questions which you will have to be able to answer in the first test.
The questions are divided into P, M and D:
  • P are pass questions and test your ability to implement methods and show basic understanding.
  • M are merit questions and test your ability to solve slightly harder problems as well as understand error.
  • D are distinction questions and test your ability on solve hard problems, generalised problems as well show a deeper understanding.
Your Test will have, roughly,
  • 30 Marks of P questions
  • 40 Marks of M questions
  • 10 Marks of D questions
See here for some worked examples.

Week 4

We spoke some more about Huen’s Method. We will also see how to handle second order differential equations.

In VBA we implemented Huen’s Method.

Week 5

We will introduce the full Runge-Kutta Theory.

In VBA we look at a second order system. We will use Euler’s Method and/or Huen’s Method.

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 3

You worked on problems with partial pivoting and application and we looked at applications to temperature distribution, where the Jacobi Method is used to find approximate solutions to a diagonally dominant linear system

Week 4

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

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.

Quiz 2 Results

Below find the results. You are identified by the last four digits of your student number unless you are excelling. The marks are out of 2.5 percentage points. Your best eight quizzes go to the 20% mark for quizzes. The R % column is your running percentage (for best eight quizzes). The QPP is your Quiz Percentage Points. MPP is your Maple percentage points. GPP is your gross percentage points. One student didn’t write down their name for Quiz 1. They should email me.

S/N Q1 Q2 R% QPP MPP GPP
Fahey 2.5 2.5 100 5 1.5 6.5
Nolan 2.43 2.5 98.6 4.93 1.5 6.43
B Murphy 2.37 2.5 97.4 4.87 1.5 6.37
8426 2.24 2.5 94.8 4.74 1.5 6.24
9464 2.17 2.5 93.4 4.67 1.5 6.17
6645 2.17 2.5 93.4 4.67 1.5 6.17
1486 2.24 2.4 92.8 4.64 1.5 6.14
2327 2.5 1.72 84.4 4.22 1.5 5.72
7879 1.12 2.5 72.4 3.62 1.5 5.12
8332 2.37 1.22 71.8 3.59 1.5 5.09
2073 0.99 2.5 69.8 3.49 1.5 4.99
2942 1.71 1.7 68.2 3.41 1.5 4.91
3703 1.71 1.2 58.2 2.91 1.5 4.41
2128 2.24 0.4 52.8 2.64 1.5 4.14
3481 1.71 0.3 40.2 2.01 1.5 3.51
9896 1.97 0 39.4 1.97 0 1.97
1298 0 1.9 38 1.9 0 1.9
1321 1.45 0.4 37 1.85 1.5 3.35
2237 1.71 0 34.2 1.71 1.5 3.21
2257 0.53 0.6 22.6 1.13 1.5 2.63
9555 0.53 0 10.6 0.53 0 0.53
9951 0.53 0 10.6 0.53 0 0.53
2070 0.33 0.2 10.6 0.53 1.5 2.03
8425 0 0.4 8 0.4 1.5 1.9
7209 0.39 0 7.8 0.39 0 0.39
8354 0.39 0 7.8 0.39 1.5 1.89
3872 0.26 0 5.2 0.26 1.5 1.76
4402 0 0 0 0 0 0
2092 0 0 0 0 0 0

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

Week 4

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

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 3

We finished our work on Taylor Series and used it to analyse the Euler Method, and improve the Euler Method to a Three Term Method.

We explained the problem with the Three Term Taylor Method and changed tack to look at Huen’s Method.

In VBA we finished off our Euler Method problem and some of us wrote a Newton Cooling programme.

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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 finished looking at Gaussian Elimination. 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 Gaussian Elimination with Partial Pivoting — absolutely necessary if you are using decimal rounding.

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

Week 3

We will work on problems with partial pivoting and application and perhaps start looking at applications to temperature distribution.

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