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 Class

We will have one more catch up class on Wednesdays at 10:00 in C236 in Week 10 (after Easter). That is an extra MATH6040 lecture on

  • 22 April 2015

Test 2

Test 2 will take place on Tuesday 28 April at 11 in B214. There is a sample in the notes (after P.140). Before or after the sample there is a quick summary of the chapter — you need to know all these formulae and ideas.

Because the test is so close I am going to say that the question on partial differentiation will definitely come from P.132, Q. 1(a), 2(i)-(iii). Also the question on error analysis will be one of Q. 2,3,4 on P.139.

Academic Learning Centre Questions

P.114, Q.2; P. 121, Q.1

Week 9

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

Week 10

We are once again in a very busy week where we have to finish off partial differentiation, apply to it error analysis and start on the last chapter with integration by parts. I am going to skip some examples and because the test takes place not long after we finish the material, I have given ye some help for Test 2 (see above).

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.

Assignments 2

Assignment 2 is here. The data is here (there was originally an error in column P of the second sheet – this has since been fixed).  I recommend that in question five that rather than using M(x) for the bending moment, that you use m(x) instead so you can use

\mathcal{L}\{m(x)\}=M(s).

Week 9

We did some full Laplace Transform questions and had some time to start working on Assignment 2

Week 10

In Week 10 you will have one more class dedicated to working on Assignment 2. We will also look at Systems of Differential Equations and begin the last chapter on Multiple Integration

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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.

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 nine, for quiz eight, is correct.

S/N Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 R % QPP MPP GPP
Kelliher 2.5 2.5 2.5 2.5 2.3 2.5 2.5 2.5 99 19.8 7.5 27.3
8335 2.375 2.5 2.4 2.5 2.5 2.5 2.3 2.5 98 19.6 7.5 27.1
3281 2.4 2.5 2.5 2.5 2.1 2.5 2.5 2.5 98 19.5 7.5 27.0
5527 1.9 2.5 2.5 2.5 2.5 2.5 2.5 2.5 97 19.4 7.5 26.9
4198 0 1.2 2 2.5 1.7 2.5 2.5 2.5 85 14.9 7.5 22.4
8478 1.9 1.72 2.15 2.4 0 2.5 2 2.2 85 14.9 7.5 22.4
8416 2.3 1 2.2 2.5 2.5 1.2 2.4 2.5 83 16.6 7.5 24.1
8403 1.85 1.4 2.45 2.5 1.3 2.4 1.9 2.5 82 16.3 7.5 23.8
7878 2.15 2.2 2.25 1.9 2.1 1.5 1.9 1.9 80 15.9 7.5 23.4
6548 1.55 1 2.25 2.5 1.6 2.3 2.1 2.5 79 15.8 7.5 23.3
1864 1.3 2.4 2.5 2.1 1.24 1.1 2.4 2.5 78 15.5 7.5 23.0
8556 1.35 0.6 2.4 2.2 0 2 2.5 2.5 77 13.6 7.5 21.1
8603 0.6 1.8 1.85 2.4 0 2.4 2.5 1.6 75 13.2 7.5 20.7
2567 1.55 1.5 2.05 1.28 1.8 2.1 2.1 2.2 73 14.6 7.5 22.1
7950 0 0 0.8 0 1.8 1.2 2.5 2.5 70 8.8 6 14.8
2859 2.4 1 0 0.5 1.6 1.7 1.9 2.5 66 11.6 7.5 19.1
5546 0 0 1.1 1 1.9 1.5 2.5 1.9 66 9.9 7.5 17.4
1852 0.7 1.2 1.6 1.5 2.1 2.2 0.9 1.3 58 11.5 7.5 19.0
8455 0.2 0.9 1.05 0.7 1.9 2.2 2 1 50 10.0 7.5 17.5
9464 1.2 0.9 1.5 0.9 1.24 0.8 2.1 0 49 8.6 6 14.6
7209 1.9 1.2 1.75 0.5 0.16 0 0 0 44 5.5 4.5 10.0
4775 0.5 0.3 1 0 0.4 1.2 1.9 1.9 41 7.2 7.5 14.7
5553 0.4 0.8 0 0 0.1 0 0 0 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.

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 eight, for quiz seven, 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 2.5 99 17.3 6 23.3
8335 2 3 2 3 3 3 2.3 98 17.1 6 23.1
3281 2 3 3 3 2 3 2.5 97 17.0 6 23.0
5527 2 3 3 3 3 3 2.5 97 16.9 6 22.9
8478 2 2 2 2 0 3 2 84 12.7 6 18.7
4198 0 1 2 3 2 3 2.5 83 12.4 6 18.4
8416 2 1 2 3 3 1 2.4 81 14.1 6 20.1
7878 2 2 2 2 2 2 1.9 80 14.0 6 20.0
8403 2 1 2 3 1 2 1.9 79 13.8 6 19.8
8603 1 2 2 2 0 2 2.5 77 11.6 6 17.6
6548 2 1 2 3 2 2 2.1 76 13.3 6 19.3
1864 1 2 3 2 1 1 2.4 75 13.0 6 19.0
8556 1 1 2 2 0 2 2.5 74 11.1 6 17.1
2567 2 2 2 1 2 2 2.1 71 12.4 6 18.4
5546 0 0 1 1 2 2 2.5 64 8.0 6 14.0
7950 0 0 1 0 2 1 2.5 63 6.3 4.5 10.8
2859 2 1 0 1 2 2 1.9 61 9.1 6 15.1
1852 1 1 2 2 2 2 0.9 58 10.2 6 16.2
8455 0 1 1 1 2 2 2 51 9.0 6 15.0
9464 1 1 2 1 1 1 2.1 49 8.6 6 14.6
7209 2 1 2 1 0 0 0 44 5.5 4.5 10.0
4775 1 0 1 0 0 1 1.9 35 5.3 6 11.3
5553 0 1 0 0 0 0 0 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.

Catch-up Classes

…are finished

Assignments 1 & 2

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

Assignment 2 is here. The data is data (there was originally an error in column P of the second sheet – this has since been fixed).

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 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

Read the rest of this entry »

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..

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