MATH6015: Week 8

November 9, 2012 in MATH6015 | Leave a comment

I am emailing a link of this to everyone on the class list every Friday afternoon. 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.ie and I will add you to the mailing list.

Attendance

Our attendance hasn’t been the best (although it is improving). You should know by now that missing lectures is a false economy.

Notes

So far we have covered up to and including Trigonometric Integration: MATH6015 Lecture Notes (with gaps).

Test 2!

The second test will take place at 9 am on Friday 23 November (Week 10). It is another 15% test that could arguably take 48 minutes but I’ll give ye from 9.05 — 10 am. Please find a sample. I will give ye a copy on Monday. You will be given a copy of these tables.

Note that the format will be the same of this: eight integrals that that could be a mix of everything and anything from the start of the chapter up to and including partial fractions.

Next Week

On Monday we will have a tutorial where we will work more on doing definite integrals (with limits) that need a substitution. In the rest of the week we shall learn about these partial fractions and also do the exam questions that I forgot to put in the notes (definite integrals that need a substitution, trigonometric integrals and partial fractions).

MATH6000: Week 8

November 9, 2012 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every Friday afternoon. 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.ie and I will add you to the mailing list.

Assessment 3 Results

You are identified by the last four digits of your student number). At the bottom of your group there are some average scores:

Read the rest of this entry »

MATH7021: Week 7

November 2, 2012 in MATH7021 | Leave a comment

I am emailing a link of this to everyone on the class list every Friday afternoon. 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.ie and I will add you to the mailing list.

Test 1 Results

I have them: please email me if you didn’t get yours during Thursday’s class.

Lectures

We will spend another session on Laplace Methods and then onto pastures new.

Tutorial

We have a very important tutorial on Tuesday. Lots of work to do:

  • Laplace Transform of differential equations — morryah question four from the test. If you don’t get this grab me and make me explain it to you.
  • Partial Fractions — once we’ve done the above we will have to do a partial fraction expansion (most of the time) in order to put the transformed solution/function into a form we can deal with.
  • Inverse Laplace Transform — Well we’ll try and get some differential equations done and see what comes up.

MATH6015: Week 7

November 2, 2012 in MATH6015 | Leave a comment

I am emailing a link of this to everyone on the class list every Friday afternoon. 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.ie and I will add you to the mailing list.

Attendance

If you don’t attend lectures and tutorials now you will fail this module. Please don’t let yourself be one of these people.

Lectures

We have started section 2.4 and next week we will see how to do definite (with limits) integrals that require a substitution as well as some other integration techniques.  

Also I don’t know why I didn’t advise this earlier — you would be well worth investing in a ring binder (to be kept at home or whatever) for your notes. You can see already the amount of sheets. You should be organised with these and only bring the ones we are working on to class.

Tutorials

On Monday we will have a tutorial. We should be able to do the exercises on pages 96 and 102 but if we cannot we will have to work on these. Otherwise we will work on the exercises on page 108 & 109.

Academic Learning Centre

If you are having serious difficulty with MATH6015 Technological Maths 2,  then please visit the Academic Learning Centre ASAP where they will sort you out as best they can free of charge. The timetable may be found here.

MS2001: Week 6

November 2, 2012 in MS 2001 | 4 comments

I am emailing a link of this to everyone on the class list every Friday afternoon. 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.ie and I will add you to the mailing list.

Test Results

Test Results

First of all results are down the bottom. You are identified by the last five digits of your student number. Included are some average scores.

If you would like to see your paper or have it discussed please email me.

Students with no score were either absent in which case they score zero — or certified absent in which case their marks carry forward to the summer exam.

Solutions and Remarks

Friday maybe…

If you scored above 70 well done; keep it up. If you scored between 40 and 70 you need to improve. If you scored below or near 40 take this as a wake up call.

Student No Mark %
35809 12.5 100
59593 12.5 100
50316 12.5 100
29579 12.5 100
89138 12.5 100
56576 12 96
19801 11.5 92
55503 11.5 92
89362 11.5 92
27898 11 88
98786 11 88
81431 11 88
05441 11 88
09341 10 80
64923 10 80
32338 10 80
93528 10 80
76939 9.5 76
11938 9.5 76
35726 9.5 76
74522 9.5 76
28756 9.5 76
59528 9.5 76
47796 9 72
97812 9 72
86131 9 72
64301 9 72
25441 8.5 68
93481 8.5 68
12256 8 64
59663 8 64
01642 8 64
Median 8 64
30948 8 64
Mean 7.5 60.26
04996 7.5 60
29768 7.5 60
40198 7.5 60
15585 7.5 60
19076 7.5 60
21967 7 56
72936 7 56
21361 6.5 52
00988 6.5 52
54513 6.5 52
07743 6.5 52
59268 6 48
37211 6 48
28585 6 48
31148 5 40
07723 5 40
47692 4 32
09658 3.5 28
59767 3 24
28475 2.5 20
38068 2 16
30609 1 8
84181 1 8
40259 1 8
01947 1 8
00633 abs 0
64879 abs 0
50938 abs 0

Lectures

We have finished the second chapter and will begin Chapter 3: Differentiability next week.

Homework

I am officially trying to draft your homework as soon as possible. It is probably going to have a due date in January but I haven’t made a concrete decision about it yet…

Tutorials

Remember you can ask whatever you want in tutorials. If you have questions about the test or past exam papers work away.

Tutorial 5 Question Bank

Questions 6 (iv), (v), (vii), 8, 9  from Exercise Sheet 2 — but don’t worry about removable and essential discontinuities (after page 62 in the notes).

Question 1 from MS2001: Problems (after page 108 in the notes)

Questions 1, 2, 3, 10, 11, 12, 13, 27  from the Additional but Harder Exercises for Definitions II (two after page 108 in the notes).

Read the rest of this entry »

MATH6000: Week 7

October 30, 2012 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every Friday afternoon. 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.ie and I will add you to the mailing list.

Assessment 3

Your third assessment is in Week 8. Consult Blackboard for the latest and definitive information on assessments. This is taken from there.

Posted on: Friday, November 2, 2012

  • Assessment 3, which is an online assessment, will go live at 10 am on Monday November 5th [the test closes on Friday but I haven’t found out what time — J.P.]
  • This assessment may be taken on any internet-enabled computer with a reliable connection.
  • It is strongly recommended that you take Sample Assessment 3 before attempting this assessment.
  • The time allowed is 1 hour from the time that you click “Begin” and your answers will be uploaded automatically once this time elapses.
  • Read the instructions carefully before you begin.
NB: Google Chrome may not display the equations correctly, so please use another browser, such as Mozilla Firefox or Internet Explorer.

 

Units, Indices and Logarithms will be examined.

You will find an online sample test on your Blackboard. Please look in Content > Assessments > Assessment 3

The policy on missed assessments is very strict in CIT as you can see here.

Read the rest of this entry »

MS2001: Week 5

October 26, 2012 in MS 2001 | 4 comments

I am emailing a link of this to everyone on the class list every Friday afternoon. 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.ie and I will add you to the mailing list.

Test

The test will take place at 3 pm in WGB G 05 next Friday 2 November in Week 6.

I would’ve intended that everything up to and including section 2.2 is examinable for the test.

You can find the tests I set for the last two years after Exercise Sheet 1 — which is itself after page 49. Also there is a sample from last year here.

As we will not have covered continuity, we will not be able to do the questions two as they are phrased. However we have covered limits.

I will make some brief remarks on these tests now.

Read the rest of this entry »

MATH7021: Week 6

October 26, 2012 in MATH7021 | Leave a comment

I am emailing a link of this to everyone on the class list every Friday afternoon. 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.ie and I will add you to the mailing list.

Test 1 Results

Pending…

Next Week

We will continue our work on the Inverse Laplace Transform and finally solve some differential equations. This is the metaphor that explains the use of Laplace Methods in the solution of same:

Suppose that you come across a poem written in English of whose meaning you don’t understand. However suppose that you know a French-speaking gentleman who is a master of interpreting poems. So you translate the poem into French and send it to the French gentleman. The French gentleman writes a perfectly good interpretation of the poem in French and sends this back to you where you translate it back into English and you have the meaning of the poem.

  1. Poem in English = Differential Equation
  2. Interpretation in English = Solution of Differential Equation
  3. Translate into French = Take Laplace Transform
  4. Poem in French (better interpreter) = Algebraic Equation (easier to solve)
  5. Interpretation in French = Laplace Transform of Solution of Differential Equation
  6. Translate back into English = Inverse Laplace Transform

More Explanations

Somebody told me the beauty of learning about maths off a video is that you can pause the lecturer. I found these online and I have to say I like these lectures a lot… not many examples but we do them in class even if you seem to think that I don’t!

http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/video-lectures/

We would have covered lectures 11 to 14 last year.

Lectures 19 & 20 are relevant for us. Lecture 22 and 23 are where this stuff ends up being really useful (not in MATH7021 unfortunately).

MATH6015: Week 6

October 26, 2012 in MATH6015 | Leave a comment

I am emailing a link of this to everyone on the class list every Friday afternoon. 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.ie and I will add you to the mailing list.

Attendance

If you don’t attend lectures and tutorials now you will fail this module. Please don’t let yourself be one of these people.

Notes

So far we have introduced the concept of a definite integral, explained the importance of the antiderivative in the evaluation of them, and some common antiderivatives. MATH6015 Lecture Notes (with gaps).

Also I don’t know why I didn’t advise this earlier — you would be well worth investing in a ring binder (to be kept at home or whatever) for your notes. You can see already the amount of sheets. You should be organised with these and only bring the ones we are working on to class.

Next Week

We shall learn how to evaluate and find some more complicated definite integrals and antiderivatives.

Academic Learning Centre

If you are having serious difficulty with MATH6015 Technological Maths 2,  then please visit the Academic Learning Centre ASAP where they will sort you out as best they can free of charge. The timetable may be found here.

MATH6000: Week 6

October 26, 2012 in MATH6000 | Leave a comment

I am emailing a link of this to everyone on the class list every Friday afternoon. 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.ie and I will add you to the mailing list.

Attendance

If you don’t attend lectures and tutorials now you will fail this module and you will be made attend the entire module again in Semester II. Please don’t let yourself be one of these people.

Assessment 3 Results

Solutions to Assessment 2

Read the rest of this entry »