MATH7021: Week 10

November 23, 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 2

The second test is now on Thursday 29 November at 6.10 pm sharp (please email me if this is an issue).

Please find a sample.

Schedule — Recently updated

Tuesday 27 November:  Finish off line integrals including Green’s Theorem — a theorem that will tell us when an integral over a closed curve is going to be zero. Tutorial for Test 2

Thursday 29 November: Test 2. Start double integrals.

Thursday 6 December: Finish double integrals and Triple integrals

Tuesday 11 December: Possibly finish off multiple integration; Exam Format Review Lecture; Tutorial; etc. Will make a plan in next two weeks.

 

MATH6015: Week 10

November 23, 2012 in MATH6015 | 2 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 2

The second test will take place at 9 am next Friday 30 November. 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.

Additional Tutorial

An additional tutorial for MATH6015 has been arranged for Tuesdays 17:00 – 18:00 in PF45.

To keep the numbers low at tutorials (so I can spend more time with ye) we have the following arrangement.

The BioEng students who have their lab in Week 10 (19 November \rightarrow 23 November) are known as GROUP I. Those who are doing their lab in Week 11 are known as GROUP II.

The following groups may attend the relevant tutorials:

Week 10

Tuesday 20 November: ALL

Week 11

Monday 26 November: Group I and BIS ONLY

Tuesday 27 November: ALL

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MS2001: Week 9

November 23, 2012 in MS 2001 | 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.

Lectures

We have all but finished with the Mean Value Theorem. Six more lectures left covering question 3(b) and Q. 5 on the final exam.

Tutorials

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

Tutorial 8 Question Bank

Questions 4, 21, 30 and 31 are very good questions from the Additional but Harder Exercises for Definitions II (two after page 108 in the notes) to look at for Rolle’s Theorem and the Mean Value Theorem.

Questions 6 and 10 – 12 from Exercise Sheet 3.

Also Questions 19, 32 and 36  from the Additional but Harder Exercises for Definitions II (two after page 108 in the notes).

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MATH6000: Week 10

November 23, 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.

BUY SOME GRAPH PAPER FOR WEEK 11

Assessment 4 Results

Will not be released until Week 12. This is for attendance reasons. A few remarks on assessment 4:

  • if you got question one, two or three wrong you have not been listening to me at all over the last two weeks
  • question four was answered well
  • a lot of people just used the formula to do question five. These people got full marks IF they got the right answer but be aware that in later modules it will be assumed that you can factorise quadratics. I completely agree that there wasn’t a whole load of time to practise these before the assessment. It doesn’t mean you can’t practise them now though.
  • a lot of people did this question in their head! I had to give these people the marks even if your ‘methods’ mightn’t work in general. Many of us did not engage with the substitution method of solving simultaneous equations as I advised and stuck to their old row methods and hence could not do this question.
  • an easy question answered poorly. If you have an unknown let x= the unknown. Let x= cost of Battery Type B. “Battery Type A” costs €3 more than battery Type B”…. €3 more than x=x+3…
  • question eight was answered badly. Many people were not listening when I said that if we can’t mix units or else we have to change our equations. You can have r=0.7 and A=7.2, you can have r=70 and A=72,000 but you can’t have r=70 and A=7.2.

Tutorials

You will get exercises on coordinate geometry in the notes on Monday.

Assessment 5

Your fourth assessment is on Wednesday 12 December. Consult Blackboard for the latest and definitive information on assessments.

MATH7021: Week 9

November 16, 2012 in MATH7021 | 2 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 2

The second test is on Tuesday 27 November at 8.20 pm sharp.

I will give ye a sample on Thursday 22 November.

Schedule

Tuesday 20 November: Finish off Chapter 3 and start looking at Multiple Integration (line integrals).

Thursday 22 November: Tutorial for Test 2

Tuesday 27 November: Test 2. Start double integrals.

Tuesday 4 December: Tutorial for line integrals & double integrals

Thursday 6 December: Finish double integrals and Triple integrals

Wednesday 12 December: Possibly finish off multiple integration; Exam Format Review Lecture; Tutorial.

MATH6015: Week 9

November 16, 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.

Test 2 — POSTPONED

The second test will now take place at 9 am next Friday 30 November. 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.

Additional Tutorial

An additional tutorial for MATH6015 has been arranged for Tuesdays 17:00 – 18:00 in PF45.

To keep the numbers low at tutorials (so I can spend more time with ye) we have the following arrangement.

The BioEng students who have their lab in Week 10 (19 November \rightarrow 23 November) are known as GROUP I. Those who are doing their lab in Week 11 are known as GROUP II.

The following groups may attend the relevant tutorials:

Week 10

Tuesday 20 November: ALL

Week 11

Monday 26 November: Group I and BIS ONLY

Tuesday 27 November: ALL

Week 12

Monday 3 December: Group II and BIS ONLY

Tuesday 4 December: ALL

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MATH6000: Week 9

November 16, 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.

BUY SOME GRAPH PAPER FOR WEEK 11

Assessment 4

Your fourth assessment is on Wednesday 21 November. Consult Blackboard for the latest and definitive information on assessments.

Algebra will be examined.

From my notes this includes Introduction to Algebra, Simplification & Manipulation, Equations, Quadratic Equations and Simultaneous Equations.

We will finish off the section on equations on Monday and the section on simultaneous equations on Tuesday.

Please find attached a sample

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

Tutorials

Any tutorials up to Wednesday should be concentrated on algebra. On Monday I should hope to give you an additional sheet on Factorisation & Quadratics.

After Wednesday we will be working on functions and graphs and will give you exercise sheets in the notes.

MS2001: Week 8

November 14, 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.

Homework

Please find the Homework. Before you open it don’t be too alarmed: you only have to do ONE of the NINE options. All of the options are about differential calculus:

  1. Nowhere-Continuous Functions
  2. Intermediate Value Theorem
  3. Fixing Nasty Functions and Making them Nice
  4. Summarise Limits & Continuity
  5. “Leaving Cert Questions”
  6. L’Hopital’s Rule
  7. Linear Algebra
  8. Summarise Differentiation
  9. Extrema of Functions of Several Variables with an Application to Statistics — contains a typo. Q.9 (a) should read “Show that (1, 1) and (−1,- 1) are local minima…” not “Show that (1, 1) and (−1, 1) are local minima…”. Also you can find the partial derivatives \frac{\partial S}{\partial m} and \frac{\partial S}{\partial c} without multiplying out S(m,c)…

I am not going to pretend that this is an easy assignment, but I will say that clear and logical thinking will reveal that the solutions and answers aren’t ridiculously difficult: a keen understanding of the principles of differential calculus should see you through.

Roughly, I have gone with less thinking & more writing or more thinking & less writing but half the battle here is picking an option that you think you can do well.

The final date for submission is 01 February 2013 and you can hand up early if you want. You will be submitting to the big box at the School of Mathematical Science. If I were you I would aim to get it done and dusted early.

Note that you are will be free to collaborate with each other and use references but this must be indicated on your hand-up in a declaration. Evidence of copying or plagiarism will result in divided marks or no marks respectively. You will not receive diminished marks for declared collaboration or referencing although I demand originality of presentation. If you have a problem interpreting any question feel free to approach me, comment on the webpage or email.

Ensure to put your name, student number, module code (MS 2001), and your declaration on your homework.

Lectures

We have finished up to but not including Section 3.2

Tutorials

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

Tutorial 7 Question Bank

Questions 3, 5, 7, 8, 13, 16, 17 from Exercise Sheet 3.

Question 3 from MS2001: Problems (after page 102 in the notes)

Questions 14, 20, 29, 35  from the Additional but Harder Exercises for Definitions II (two after page 108 in the notes).

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MS2001: Week 7

November 9, 2012 in MS 2001 | 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.

Question 3 Solutions

May be found here.

Lectures

We have finished up to and including Proposition 3.1.5.

Homework

Pending…

Tutorials

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

Tutorial 6 Question Bank

Questions 1, 2, 3 (i), (iii), 4, 7 (i), 8 (a) (i), (ii), 9, 13 (i) from Exercise Sheet 3.

Questions 35  from the Additional but Harder Exercises for Definitions II (two after page 108 in the notes).

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MATH7021: Week 8

November 9, 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.

Lectures

We have finally concluded our study of Laplace methods. Next week we look at Lagrange Interpolation and the Least Squares Method.

Winter Exam Format

I have changed the format of the exam somewhat. It is answer four out of five:

1. Multiple Topics Question

(a) Interpolation (b) Linear Algebra (c) Laplace Methods

2. Interpolation

Finite Difference Methods, Least Squares, Lagrangian Interpolation

3. Linear Algebra

Gaussian Elimination with and without partial pivoting, Cramer’s Rule, Jacobi’s Method, Gauss-Siedel Method

4. Laplace Methods

Three differential equations

5.  Multiple Integration

line integrals, double integrals with applications including second moment of area, triple integrals.

Test 2: Possible Notice

I want to hold Test 2 on Thursday 30 November in Week 11. If ye think this is a problem or is clashing with an established test or deadline please get back onto me.

Test 1 Results

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