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.

Catch-up Classes

…are finished

Assignments 1 & 2

The corrections are now done and the results sent to you. Some remarks here.

You will not receive the second Assignment until after Easter. The hand-up date will be the Monday of Week 11 — when you really will be quite busy.

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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.

Catch Up Classes

We will have catch up classes on Wednesdays at 10:00 in C236 in Weeks 9 and 10 (after Easter). That is an extra MATH6040 lecture on

  • 15 April 2015
  • 22 April 2015

Academic Learning Centre Question

Question 1, P.109.

Week 8

In Week 8 we finished off the chapter on matrices and began the chapter on differentiation. We did a quick revision and then looked at parametric differentiation.

Week 9

We are going to be very busy in Week 9 — finishing off parametric differentiation and studying related rates, implicit differentiation and beginning to look at partial differentiation.

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.

Note: Simpson’s Rule Example, p.5 (b), Second Integral

Yes, the answer in the notes WAS wrong. The answer should be close to 0.5870 (as we found on the board.)

Continuous Assessment

You are identified by the last four digits of your student number unless you are winning the league. The individual quiz 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), MPP is your Maple Percentage Points and the GPP is your Gross Percentage Points (for best eight quizzes and Maple). Most of the columns are rounded but column seven, for quiz six, is correct.

S/N Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 R % QPP MPP GPP
Kelliher 3 3 3 3 2 2.5 99 14.8 4.5 19.3
8335 2 3 2 3 3 2.5 99 14.8 4.5 19.3
3281 2 3 3 3 2 2.5 97 14.5 4.5 19.0
5527 2 3 3 3 3 2.5 96 14.4 4.5 18.9
8478 2 2 2 2 0 2.5 85 10.7 4.5 15.2
7878 2 2 2 2 2 1.5 81 12.1 4.5 16.6
8403 2 1 2 3 1 2.4 79 11.9 4.5 16.4
4198 0 1 2 3 2 2.5 79 9.9 4.5 14.4
8416 2 1 2 3 3 1.2 78 11.7 4.5 16.2
6548 2 1 2 3 2 2.3 75 11.2 4.5 15.7
8603 1 2 2 2 0 2.4 72 9.1 3 12.1
1864 1 2 3 2 1 1.1 71 10.6 4.5 15.1
2567 2 2 2 1 2 2.1 69 10.3 4.5 14.8
8556 1 1 2 2 0 2 68 8.6 4.5 13.1
1852 1 1 2 2 2 2.2 62 9.3 4.5 13.8
2859 2 1 0 1 2 1.7 58 7.2 4.5 11.7
5546 0 0 1 1 2 1.5 55 5.5 4.5 10.0
7950 0 0 1 0 2 1.2 51 3.8 3 6.8
8455 0 1 1 1 2 2.2 46 7.0 4.5 11.5
7209 2 1 2 1 0 0 44 5.5 4.5 10.0
9464 1 1 2 1 1 0.8 44 6.5 4.5 11.0
4775 1 0 1 0 0 1.2 27 3.4 4.5 7.9
5553 0 1 0 0 0 0 17 1.3 4.5 5.8

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This is the first in a series of posts that are an attempt by me to understand why my Industrial Measurement and Control students need to study the Laplace Transform.

Consider a black box model that takes as an input signal a function x(t) and produces an output signal y(t). For reasons that are as of yet not clear to me, we can take all of the derivatives of y(t) (and x(t)) to vanish for t=0.

Definition

The transfer function of a black box model is defined as

\displaystyle H(s)=\frac{Y(s)}{X(s)},

where Y(s) and X(s) are the Laplace Transforms of y(t) and x(t).

Note we have the Laplace transform of a function f(t) is a function F(s) defined by

F(s)=\mathcal{L}\{f(t)\}=\int_{0}^\infty f(t)e^{-st}\,dt.

Poles of H(s) are complex numbers z such that X(z)=0. For example, for an input signal x(t)=e^t, the transfer function as a pole at s=1 as

\displaystyle F(s)=\frac{1}{s-1}.

If the coefficients of x(t) are real, then in general the poles of the transfer are real or come in conjugate root pairs.

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.

Catch-up Classes

We will have one more catch-up class on Thursday at 12:00 in B187.

Assignments 1 & 2

The corrections are now done and the results sent to you. Some remarks here.

You will not receive the second Assignment until after Easter. The hand-up date will be the Monday of Week 11 — when you really will be quite busy.

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.

Catch Up Classes

We will have catch up classes on Wednesdays at 10:00 in C236 in Weeks 9 and 10 (after Easter). That is an extra MATH6040 lecture on

  • 15 April 2015
  • 22 April 2015

Academic Learning Centre Question

Question 2, P.73.

Week 7

We have been looking at determinants.

Week 8

We will finish off Cramer’s Rule and start the third chapter with a revision of differentiation.

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.

Continuous Assessment

You are identified by the last four digits of your student number unless you are winning the league. The individual quiz 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), MPP is your Maple Percentage Points and the GPP is your Gross Percentage Points (for best eight quizzes and Maple). Most of the columns are rounded but column six, for quiz five, is correct.

S/N Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 R % QPP MPP GPP
Kelliher 3 3 3 3 2.3 98 12.3 4.5 16.8
8335 2 3 2 3 2.5 98 12.3 4.5 16.8
3281 2 3 3 3 2.1 96 12.0 4.5 16.5
5527 2 3 3 3 2.5 94 11.9 4.5 16.4
7878 2 2 2 2 2.1 85 10.6 4.5 15.1
8416 2 1 2 3 2.5 84 10.5 4.5 15.0
8478 2 2 2 2 0 82 8.2 4.5 12.7
1864 1 2 3 2 1.24 76 9.5 4.5 14.0
8403 2 1 2 3 1.3 76 9.5 4.5 14.0
4198 0 1 2 3 1.7 74 7.4 4.5 11.9
6548 2 1 2 3 1.6 71 8.9 4.5 13.4
8603 1 2 2 2 0 67 6.7 3 9.7
8556 1 1 2 2 0 66 6.6 4.5 11.1
2567 2 2 2 1 1.8 65 8.2 4.5 12.7
1852 1 1 2 2 2.1 57 7.1 4.5 11.6
2859 2 1 0 1 1.6 55 5.5 4.5 10.0
5546 0 0 1 1 1.9 53 4.0 4.5 8.5
7950 0 0 1 0 1.8 52 2.6 3 5.6
9464 1 1 2 1 1.24 46 5.7 4.5 10.2
7209 2 1 2 1 0.16 44 5.5 4.5 10.0
8455 0 1 1 1 1.9 38 4.8 4.5 9.3
4775 1 0 1 0 0.4 22 2.2 4.5 6.7
5553 0 1 0 0 0.1 17 1.3 4.5 5.8

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 6

We will have catch-up classes on Thursdays at 12:00 in B187 in

  • Week 7 — 19 March
  • Week 8 — 26 March

Assignment 1

This must be handed up before 5 pm today. Make sure to email me your Excel file.

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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

Please find the results below. You are identified by the last four digits of your student number unless you excelled.

The average of the students with one attendance warning was 70. This average drops by 10 percentage points for each attendance warning.

As I mentioned at the start of the semester, this chapter is arguably the most straightforward and the easiest way to pass this module is to do well in the vectors test and exam question. Those of us who are attending class and still performing poorly need more help than the tutorials alone. The students in this category need to start attending the Academic Learning Centre to boost their performance.

I handed out and corrected a Quick Test with suggestions. I would advise poorly performing students to bring this Quick Test with them to the Academic Learning Centre. Furthermore I am going to put up one problem per week that poorly performing students should bring to the ALC and try with the help of the maths lecturers there.

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.

Continuous Assessment

You are identified by the last four digits of your student number unless you are winning the league. The individual quiz 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), MPP is your Maple Percentage Points and the GPP is your Gross Percentage Points (for best eight quizzes and Maple). Most of the columns are rounded but column five, for quiz four, is correct.

S/N Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 R % QPP MPP GPP
Kelliher 3 3 3 2.5 100 10.0 3 13.0
3281 2 3 3 2.5 99 9.9 3 12.9
8335 2 3 2 2.5 98 9.8 3 12.8
5527 2 3 3 2.5 94 9.4 3 12.4
7878 2 2 2 1.9 85 8.5 3 11.5
1864 1 2 3 2.1 83 8.3 3 11.3
8403 2 1 2 2.5 82 8.2 3 11.2
8478 2 2 2 2.4 82 8.2 3 11.2
8416 2 1 2 2.5 80 8.0 3 11.0
4198 0 1 2 2.5 76 5.7 3 8.7
6548 2 1 2 2.5 73 7.3 3 10.3
8603 1 2 2 2.4 67 6.7 3 9.7
8556 1 1 2 2.2 66 6.6 3 9.6
2567 2 2 2 1.28 64 6.4 3 9.4
7209 2 1 2 0.5 54 5.4 3 8.4
2859 2 1 0 0.5 52 3.9 3 6.9
1852 1 1 2 1.5 50 5.0 3 8.0
9464 1 1 2 0.9 45 4.5 3 7.5
5546 0 0 1 1 42 2.1 3 5.1
7950 0 0 1 0 32 0.8 1.5 2.3
8455 0 1 1 0.7 29 2.9 3 5.9
5553 0 1 0 0 24 1.2 3 4.2
4775 1 0 1 0 24 1.8 3 4.8

Read the rest of this entry »

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