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Assignment 1 – Results

Have been emailed to you.

Week 7

We continued looking at partial fractions and then the inverse Laplace Transform.

We had about 30 minutes of tutorial time on Thursday.

Week 8

We miss out on Monday due to St Patrick’s Day.

We will have two tutorials on Wednesday (p.121, p.112, p.103, p.100, p.99) before starting to look at Differential Equations on Thursday.

You will then be able to begin Assignment 2 after Thursday.

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Assignment 1 – Results

Last year the results were not made available until Week 8. I will do my best to have them to you comfortably before Week 8.

Week 6

We had an Undetermined Coefficients Tutorial on Monday.

Tuesday, we started looking at “The Engineer’s Transform” — the Laplace Transform. We looked at the first shift theorem, and how the Laplace Transform interacts with differentiation. We started looking at partial fractions.

We had our Undetermined Coefficients Concept MCQ on Thursday. This showed up serious deficiencies in our ability to carry out differentiation. I may or may not come up with some interventional material.

Week 7

We will continue looking at partial fractions and the inverse Laplace Transform. If we can finish Section 3.3 (doubtful) we will have tutorial time.

Assignment 2

Assignment 2 will have a hand-in time and date of 12:00 8 April: the Monday of Week 11. Assignment 2 is in the manual, P. 164. Once we get someway into the examples on p.123 you should be able to make a start.

Gaussian Elimination Tutor

If you download Maple (see Student Resources), there is a Maple Tutor that is easy to use and will help you with Gaussian Elimination. Open up Maple and go to Tools -> Tutors -> Linear Algebra -> Gaussian Elimination.

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Exam Papers

These are not always found in your programme selection — most of the time you will have to look here.

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc..

Assignment 1

Assignment 1 has a hand-in time and date of 12:00 Friday 1 March (Week 5). Submit in class or to A283.

Work that is handed in late will be assigned a mark of ZERO so hand in what you have one time.

More information in last week’s Weekly Summary.

One final warning: do not give your work to others to copy. If there is a lack of originality of presentation I will be dividing marks between those who copy each other and the person who did the original work will be penalised along with those who copy them.

Week 5

We finished our work on Chapter 2 — the method of Undetermined Coefficients — Wednesday PM. The Thursday class was (will be as I write) a tutorial.

Week 6

On Monday we will have a tutorial on Undetermined Coefficients.

On Wednesday AM we will have a Concept MCQ, and then crack into Chapter 3, by looking at “The Engineer’s Transform” — the Laplace Transform.

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Exam Papers

These are not always found in your programme selection — most of the time you will have to look here.

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc..

Assignment 1

Assignment 1 has a hand-in time and date of 12:00 Friday 1 March (Week 5). Submit in class or to A283.

Read the P.51 and P.52 instructions carefully. You will be submitting an Excel file, and written work, including a print out of your Excel work.

Note in particular:

  • Work submitted after the deadline will be assigned a mark of ZERO. Hand up whatever you have on time.
  • Only Partial Pivoting has to be done using Excel.
  • Note that if you are doing Gaussian Elimination by hand you must use exact fractions and square roots rather a decimal approximation.
  • I advise that you do the questions out roughly first because small mistakes are inevitable.

The files you need to complete this assignment have been emailed to you. If you don’t want to calculate your c_i and P they are calculated in MATH7021A1 – Student Data.

We have now covered enough in class for you to do all of the Assignment. I recommend that you start ASAP.

WARNING!

This gives a good opportunity for collaboration but remember collaboration does not mean one student solving the problem and everyone else copying that student’s work. I demand originality of presentation here and you should at least understand what you hand up. If you are unsure of what I mean by this please email me immediately as if I have students who have clearly copied the answer word-for-word from another student they will all be sharing the marks.

Start early so you have enough time to complete the assignment properly and get good learning from it.

THIS IS A LEARNING ACTIVITY NOT JUST A GRADED ACTIVITY. THE CHAPTER ONE EXAM QUESTION IS WORTH 24.5% OF YOUR FINAL GRADE WHILE THIS ASSIGNMENT IS WORTH JUST 15%. THINK ABOUT WHAT THIS MEANS.

Regarding Q. 1.3.5, Assignment 1, on P.62 of the manual. The intention with Q. 1.3.5 (b) really is for you to engage in some problem solving skills to come up with a clever way of implementing the Jacobi Method in Excel.
It should still be doable by hand but if it takes a large number of iterations to converge (to two significant figures), Excel is far more suitable.
It is possible that it could take a small number of iterations to converge to two significant figures (say two or three iterations) — which is no problem by hand — but potentially it could take more (at least six). I don’t really want people spending loads of time doing iterations by hand, so I will give 3/4 marks for part (b) if you do six iterations by hand. If you want to keep going – by hand – until convergence (to two significant figures) you can of course get the 4/4 marks – but you need to ask yourself is it worth your time to keep going for the sake of one mark (out of 60… out of 15% —- that is 0.25% of your final grade).
If it converges with fewer than six iterations then happy days for you, you can get 4/4.
If it doesn’t, you might be better off trying to come up with a way of doing the question in Excel if you really want all the marks.
You can still answer part (c) if you do six iterations and do not yet have convergence.

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Assignment 1

Assignment 1 has a hand-in time and date of 12:00 Friday 1 March (Week 5).

Read the P.51 and P.52 instructions carefully. You will be submitting an Excel file, and written work, including a print out of your Excel work.

Note in particular:

  • Work submitted after the deadline will be assigned a mark of ZERO. Hand up whatever you have on time.
  • Only Partial Pivoting has to be done using Excel.
  • Note that if you are doing Gaussian Elimination by hand you must use exact fractions and square roots rather a decimal approximation.
  • I advise that you do the questions out roughly first because small mistakes are inevitable.

The files you need to complete this assignment have been emailed to you. If you don’t want to calculate your c_i and P they are calculated in MATH7021A1 – Student Data.

We have now covered enough in class for you to do all of the Assignment. I recommend that you start ASAP.

WARNING!

This gives a good opportunity for collaboration but remember collaboration does not mean one student solving the problem and everyone else copying that student’s work. I demand originality of presentation here and you should at least understand what you hand up. If you are unsure of what I mean by this please email me immediately as if I have students who have clearly copied the answer word-for-word from another student they will all be sharing the marks.

Start early so you have enough time to complete the assignment properly and get good learning from it.

THIS IS A LEARNING ACTIVITY NOT JUST A GRADED ACTIVITY. THE CHAPTER ONE EXAM QUESTION IS WORTH 24.5% OF YOUR FINAL GRADE WHILE THIS ASSIGNMENT IS WORTH JUST 15%. THINK ABOUT WHAT THIS MEANS.

Week 3

On Monday, we looked at applications to temperature distribution, where the Jacobi Method is used to find approximate solutions to a diagonally dominant linear system. We also had about ten minutes of tutorial time with this.

On Wednesday we showed the following video, which shows how the approximations to the solution iterate:

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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.

Assignment 1

Assignment 1 has a hand-in time and date of 12:00  Friday 1 March (Week 5).

Read the P.51 and P.52 instructions carefully. You will be submitting an Excel file, and written work (including a print out of your Excel work).

Note in particular:

  • Work submitted after the deadline will be assigned a mark of ZERO. Hand up whatever you have on time.
  • Only Partial Pivoting has to be done using Excel.
  • Note that if you are doing Gaussian Elimination by hand you must use exact fractions and square roots rather a decimal approximation.
  • I advise that you do the questions out roughly rst because small mistakes are inevitable.

The files you need to complete this assignment have been emailed to you. If you don’t want to calculate your c_i and P they are calculated in MATH7021A1 – Student Data.

We have now covered enough in class for you to do all of the Assignment except for Q. 1.3.5. After Monday we will have enough covered in class.

WARNING!

This gives a good opportunity for collaboration but remember collaboration does not mean one student solving the problem and everyone else copying that student’s work. I demand originality of presentation here and you should at least understand what you hand up. If you are unsure of what I mean by this please email me immediately as if I have students who have clearly copied the answer word-for-word from another student they will all be sharing the marks.

Start early so you have enough time to complete the assignment properly and get good learning from it.

THIS IS A LEARNING ACTIVITY NOT JUST A GRADED ACTIVITY. THE CHAPTER ONE EXAM QUESTION IS WORTH 24.5% OF YOUR FINAL GRADE WHILE THIS ASSIGNMENT IS WORTH JUST 15%. THINK ABOUT WHAT THIS MEANS.

Week 2

We started Monday with some Gaussian Elimination Concept MCQs. We probably should have waited until we finished the Gaussian Elimination examples, which we did straight afterwards.

Wednesday am we had some tutorial time — and then Wednesday pm began to look at applications of linear systems to traffic and pipe flow.

On Thursday we finished the section on pipe flow and had a little more tutorial time.

Week 3

On Monday, we will look at applications to temperature distribution, where the Jacobi Method is used to find approximate solutions to a diagonally dominant linear system.

Wednesday am we will finish looking at Chapter 1, and hopefully have another Concept MCQ. Wednesday pm we will have more tutorial time (and do the Concept MCQ if necessary).

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

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

Exam Papers

These are not always found in your programme selection — most of the time you will have to look here.

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.

Timetable

The Geotech Tutorial Groups are determined by whether or not you are taking MATH7021.

If you are taking MATH7021 your Geotech tutorial is Wednesday 12:00 and you attend the 14:00 MATH7021 class in A243L.

Week 1

We started the first chapter on Linear Algebra. Essentially, for us, simultaneous equations. We looked at Gaussian Elimination including Partial Pivoting, which is required in the presence of rounding. We were a little disrupted by snow on Wednesday, effectively costing us 0.5 – 1 hours.

Week 2

We will finish the Gaussian Elimination examples on Monday — then have some tutorial time — and then Wednesday pm begin to look at applications of linear systems to traffic and pipe flow.

Assignment 1 – Warning

Assignment 1 has a hand-in date of  Friday 1 March (Week 5). More information next week.

Study

Please feel free to ask me questions about the exercises via email or even better on this webpage.

CIT Mathematics Exam Papers

These are not always found in your programme selection — most of the time you will have to look here.

Student Resources

Please see the Student Resources tab on the top of this page for information on the Academic Learning Centre, etc..

Talk delivered to the Conversations on Teaching and Learning Winter Programme 2018/19, organised by the Teaching & Learning Unit in CIT (click link for slides):

Contexts and Concepts: A Case Study of Mathematics Assessment for Civil & Environmental Engineering

This strategy is by no means optimal nor exhaustive. It is for students who are struggling with basic integration and anti-differentiation and need something to help them start calculating straightforward integrals and finding anti-derivatives. 

TL;DR: The strategy to antidifferentiate a function f that I present is as follows:

  1. Direct
  2. Manipulation
  3. u-Substitution
  4. Parts

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Student Feedback

If you would like to submit anonymous feedback on this module/lecturer, you may do so here. This link will be open until Friday May 11 2018.

 

Week 12

On Monday we finished the module by looking at triple integrals.

The Wednesday 09:00 lecture will be a tutorial. In this class and your usual tutorial we will look at the P.182, P. 192, P. 163, & P.116 exercises. If these are completed you will be recommended to revise either by trying Chapter 1 & 2 exercises or perhaps by looking at the Summer 2017 paper.

As next Monday is a bank holiday, we will begin the Summer 2017 Paper (in your notes) revision on Thursday.

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