J.P. McCarthy: Math Page

In theory (see Learner Workload) you are supposed to spend seven hours per week on MATH7021. We have voted for the OFFLINE model: my recommendation is that you watch the lecture material, then spend whatever other time you have for MATH7021 on exercises. It is up to you to decide when you complete learning tasks and timetable yourself. There are four hours of MATH7021 slots on your timetable that you can use if you want.

Week 1

Lectures

We had one hour of Live Zoom. This should be recorded in “Zoom” on the left there. Updated annotated notes.here 

You should watch this hour and 23 minutes of lecture video this week:

Gaussian Elimination I (33 minutes)

Gaussian Elimination II (23 minutes)

Gaussian Elimination III (27 minutes)

Exercises

How much time you put into homework is up to you: of course the more time you put in the better but we all have competing interests. Please feel free to ask me questions about the exercises. 

It might be the case that you need to see more examples (in Week 2 lectures… probably available by Friday evening) before attempting these. On the other hand, if you can do these already you are in a great position in MATH7021.

• p.30, Q. 1-11
• Additional Exercises, p.33, Q. 12-22

Submit work for Canvas feedback by Monday 1 February for video feedback after Tuesday 2 February. Ideally you don’t submit work that you are certain is correct, but instead submit work you need help and feedback with. Submit the images as a single pdf file. To do this, select all the images in a folder, right-click and press print. It will say something like How do you want to print your pictures? Press (Microsoft?) Print to PDF. If possible choose an orientation that has all the images in portrait.

Week 2

We will finish the Gaussian Elimination examples and begin to look at applications of linear systems to traffic and pipe flow.

35%  Assignment 1

I may release Assignment 1 before I know the hand-in date… hopefully there will be some coordination on this quite soon.

Study

Please feel free to ask me questions about the exercises via email. I answer emails every morning seven days a week.

Student Resources

Please see  Student Resources for information on the Academic Learning Centre, etc.

In theory (see Learner Workload) you are supposed to spend seven hours per week on MATH7016. My recommendation is that you watch the lecture material (n/a in Week 1 if you attended the live lectures), then complete the lab, and if there is any time left over do the suggested theory exercises.

Week 1

Lectures

We had two hours of Live Zoom. These should be recorded in “Zoom” on the left there.

By briefly looking at a number of examples (many of which we have seen before), we had a review of some central ideas from approximation theory such as approximation, measurement error, accuracy & precision, iteration, convergence, meshing, error, etc.

We looked at where ordinary differential equations come into Engineering, and we started talking about Euler’s Method.

Lab

Where you find the time to do your VBA Lab 1 is up to you but I recommend using the two hours on your timetable. If you are serious about MATH7016 you might need to spend more than two hours.

Theory Exercises and Q & A

p.17, Q.1-2

Q & A on these and any other MATH7016 topic next Tuesday 12.30 (waiting room open 12.25).

Week 2

We will look at the Euler Method, and then start looking at big notation, and Taylor Series.

Once I record the lectures I will put together a Week 2 announcement like this one.

Assessment

I really have not yet thought about assessment but this is what I am thinking at the moment. This is provisional and subject to change.

1. Week 6, 25% First VBA Assessment, Based (roughly) on Weeks 1-4
2. Week 7, 25 % In-Class Written Test, Based (roughly) on Weeks 1-5
3. Week 11, 25% Second VBA Assessment, Based (roughly) on Weeks 6-9
4. Week 12, 25% Written Assessment(s), Based on Weeks 6-11

Study

Study should consist of

• doing exercises from the notes
• completing VBA exercises

Student Resources

Please see the Student Resources  for information on the Academic Learning Centre, etc..

Outlook

Week 9

There is only a mini-chapter on examples of (real) functions. You should spend the rest of the time revising Chapters 3 and 4 (i.e. doing exercises). Some of you might have to catch up on the Week 8 lectures.

Week 10: 14 to 20 December.

There will be feedback on submitted exercises Wednesday, Thursday, and Friday.

I plan that we will have a number of Zoom tutorials (these are provisional):

• Tuesday 14:00
• Tuesday 15:00 C-X only
• Wednesday 12:00 C-Y only
• Thursday 12:00

There is a small chance that we will also have Monday 14:00 Zoom but will not know until closer to the day.

Week 11 – 40% Test 3

The final, 40% Test 3 on Functions and Algebra (chapters 3-5) will take place (provisionally) at 18:00-19:30 (perhaps with additional upload time) on Monday 21 December. There will be no more feedback on submitted exercises but there might be a 14:00 Zoom before the final Test.

30% Test 2 – Results

I had said that my aim was to have these to you before Wednesday 9 December. However there is a possibility now that the Test 2 results will not be released until after you sit Test 3. This is outside my control (watch this space).

Week 9

Lectures

Schedule about an hour and 20 minutes for these:

• Examples of (Real) Functions I (25 minutes)
• Examples of (Real) Functions II [18.30 on is Exercise Hints] (27 minutes)
• Examples of (Real) Functions Summary (3 minutes)

Exercises

• p.158-163, Q. 1-17 [Hints: [18.30-26.44]]

Read the rest of this entry »

Outlook

Assignment 3 is up on Canvas and I hope to have Assignment 4 available quite soon. There is about an hour and a half of new material here (well, it is actually more-or-less MATH6040 material) and that is the lectures completed.

• Week 11: Finish Assignment 3, watch all the Chapter 4 lecture material, and then try Chapter 4 exercises. Assignment 4 (20%, based on Chapter 4) will appear at some point.
• Week 12: No new lecture material nor exercises. Will have daily Canvas assignments for students to get next day feedback on Chapter 4 exercises
• Week 13: Finish Assignment 4 for Tuesday 22 December.

Assignment 2 – Results

It is my intention to have your results out by the end of the Week 10.

Week 11

Lectures

About an hour and a half here:

• Partial Differentiation I (26 minutes)
• Partial Differentiation II and Rounding Errors (27 minutes)
• Rounding Error Example (8 minutes)

If you want a slightly slower re-introduction to partial differentiation I go over it a bit slower here (along with some more examples – this is from MATH6040).

Exercises

• p. 171 (revision of partial differentiation)
• p.176 – 177, Q.1-5. Additional exercises p.177, Q.6.

You can (carefully) take photos of your work and submit to whatever Canvas Exercises ‘Assignment’ is open.

Submit the images as a single pdf file. To do this, select all the images in a folder, right-click and press print. It will say something like How do you want to print your pictures? Press (Microsoft?) Print to PDF. If possible choose an orientation that has all the images in portrait.

Week 12

Revision/Working on Assignment 4. Will have daily Canvas Exercise Assignments for feedback.

Academic Learning Centre

Have you heard about CIT Maths Online (Links to an external site.) on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year. 

During this period of remote learning we will be using the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible. 

1-to-1 Maths appointments will be available through Zoom. There are 32 appointments available per week. Please log on to Maths online to see the most up to date resources and to book a 1-to-1 video call. Find out how to add it to your Canvas dashboard here https://studentengagement.cit.ie/alc/resources.maths (Links to an external site.). 

Drop-in Maths is on every Tuesday from 12 – 2. Here you can drop in to ask our lecturer a quick Maths question.  

If you have any other question about our remote Maths and Stats supports email Joy and Deirdre at academiclearning@cit.ie. 

See the CIT Students tab above for further resources.

Outlook

Assignment 3 is up on Canvas. There is about an hour and 20 minutes of new material here, similar next week (7-13 December) and no new material after that.

• Week 9: If you have done the exercises from Week 8 and 9 you will be able to attack Assignment 3. There is some Chapter 4 lecture material and exercises.
• Week 11: Finish Assignment 3, watch all the Chapter 4 lecture material, and then try Chapter 4 exercises. Assignment 4 (20%, based on Chapter 4) will appear.
• Week 12: No new lecture material nor exercises. Will have daily Canvas assignments for students to get next day feedback on Chapter 4 exercises
• Week 13: Finish Assignment 4 for Tuesday 22 December.

Assignment 2 – Results

It is my intention to have your results out by the end of the next week (6 December).

Week 10

Lectures

About two hours here.

• Taylor Series I (25 minutes)
• Taylor Series II (22 minutes)
• Taylor Series III (23 minutes)
• Taylor Series IV (13 minutes)

Exercises

• p. 155, Q. 1-2
• Show that the Maclaurin Series of gives .
• p. 162, Q. 1-5
• p.165, Q.1-3. Additional exercises p.165, Q.4-5.

You can (carefully) take photos of your work and submit to the Week 10 Exercises.

Submit the images as a single pdf file. To do this, select all the images in a folder, right-click and press print. It will say something like How do you want to print your pictures? Press (Microsoft?) Print to PDF. If possible choose an orientation that has all the images in portrait.

Week 11

We will look at Error Analysis.

Academic Learning Centre

Have you heard about CIT Maths Online (Links to an external site.) on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year. 

During this period of remote learning we will be using the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible. 

1-to-1 Maths appointments will be available through Zoom. There are 32 appointments available per week. Please log on to Maths online to see the most up to date resources and to book a 1-to-1 video call. Find out how to add it to your Canvas dashboard here https://studentengagement.cit.ie/alc/resources.maths (Links to an external site.). 

Drop-in Maths is on every Tuesday from 12 – 2. Here you can drop in to ask our lecturer a quick Maths question.  

If you have any other question about our remote Maths and Stats supports email Joy and Deirdre at academiclearning@cit.ie. 

See the CIT Students tab above for further resources.

Outlook

Week 8

As you will see below there is a lot of lecture material. It might be wise to break your learning into Exponents and Logarithms, and spend 3.5 hours on each. Start the clock running on Exponents, after you watch those lectures spend the rest of the 3.5 hours doing exercises on them, and then repeat the trick with logs.

That would be ideal but the good news is that we have all but finished the lecture material, there won’t be too many lecture videos in Week 9, there will be none in Week 10, and so there will be scope to catch up. However you will be better off keeping up as you will need time to revise Chapter 3 Functions also.

You can always submit whatever work you want to whatever is open on Canvas at the time (but please label properly with page and question number).

Week 9

We will complete the mini-chapter on examples of functions. You will spend the rest of the time revising Chapters 3 and 4 (i.e. doing exercises).

Week 10

There will be feedback on submitted exercises Wednesday, Thursday, and Friday.

I plan that we will have a number of Zoom tutorials (these are provisional):

• Tuesday 14:00
• Tuesday 15:00 C-X only
• Wednesday 12:00 C-Y only
• Thursday 12:00

There is a small chance that we will also have Monday 14:00 Zoom but will not know until closer to the day.

Week 11

The final, 40% Test 3 on Functions and Algebra will take place (provisionally) at 18:00-19:30 (perhaps with additional upload time) on Monday 21 December. There will be no more feedback on submitted exercises but there might be a 14:00 Zoom before the final Test.

30% Test 2 – Results

My aim would be to have these for you before Wednesday 9 December.

Week 8

Lectures – Exponents

Schedule about an hour and 50 minutes to watch these:

• Exponents/Powers I (25 minutes)
• Exponents/Powers II (25 minutes)
• Exponents/Powers III and Logarithms I [9.35 to 12.40 of Exercise Hints] (24 minutes)

Exercises – Exponents

• p.99, Q.11 (functions question that requires algebra)
• p.128-129, Q. 1-10 [Hints: [9.35-12.40]]

Read the rest of this entry »

You are advised to to spend seven hours per week on MATH6055. This should comprise of however long it takes to watch the lectures, and then the rest of time should be spent emailing questions, doing exercises, and catch-up/revision.

30% Test 2

The second 30% assessment takes place 6 pm Wednesday 25 November, and covers equivalence relations and Chapter 2. Relevant are the Week 3, 4 and 5 announcements on Canvas. Students who have been working on this material are in a good position and should be able to watch the Chapter 3 lectures while those who have not been working (i.e. doing and submitting exercises) are probably going to have to work on the Weeks 3-5 exercises.

Chapters 3 to 5 will be assessed in the final assessment in Week 10/11.

Zoom for Test 2

There will be two Zoom tutorials for Test 2 in Week 7:

• Monday 23 November, 14:00
• Tuesday 24 November, 14:00

The links have been sent via Canvas Mail. Students are invited to attend one or both tutorials where I will be answering student questions. The tutorials will be recorded.

Week 7

Lectures

Schedule about two hours and 15 minutes to watch this hour and a half of lectures.

• Algebra: Intro and Basics (27 minutes)
• Equations I (26 minutes)
• Equations II (27 minutes)
• Equations III (11 minutes)

Read the rest of this entry »

I hope to get Assignment 3 up on Canvas by around or before Monday 30 November. There was a lot of lecture material in Week 8, not so much here.

• Week 9: Finish watching the Weeks 7-9 lectures and give time to the Weeks 8 and 9 exercises.
• Week 10: Assignment 3 (20%, based on Chapter 3) will appear. If you have done the exercises from Week 8 and 9 you will be able to attack this. There will be some Chapter 4 lecture material and exercises.
• Week 11: Finish Assignment 3, watch all the Chapter 4 lecture material, and then try Chapter 4 exercises. Assignment 4 (20%, based on Chapter 4) will appear.
• Week 12: No new lecture material nor exercises. Might have daily Canvas assignments for students to get next day feedback on Chapter 4 exercises
• Week 13: Finish Assignment 4 for Tuesday 22 December.

Assignment 2

I plan to start corrections Thursday 26 November and it is my intention to release results.

Week 9

Lectures

Only a little over an hour here. Big focus on exercises.

• Hypothesis Testing I (24 minutes)
• Hypothesis Testing II (20 minutes)

Exercises

• p. 150, Q.1-8

You can (carefully) take photos of your work and submit to the Week 9 Exercises.

Submit the images as a single pdf file. To do this, select all the images in a folder, right-click and press print. It will say something like How do you want to print your pictures? Press (Microsoft?) Print to PDF. If possible choose an orientation that has all the images in portrait.

Week 10

We will start looking at Taylor Series.

Academic Learning Centre

Have you heard about CIT Maths Online (Links to an external site.) on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year. 

During this period of remote learning we will be using the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible. 

1-to-1 Maths appointments will be available through Zoom. There are 32 appointments available per week. Please log on to Maths online to see the most up to date resources and to book a 1-to-1 video call. Find out how to add it to your Canvas dashboard here https://studentengagement.cit.ie/alc/resources.maths (Links to an external site.). 

Drop-in Maths is on every Tuesday from 12 – 2. Here you can drop in to ask our lecturer a quick Maths question.  

If you have any other question about our remote Maths and Stats supports email Joy and Deirdre at academiclearning@cit.ie. 

See the CIT Students tab above for further resources.

I put few lectures (and no new exercises) into Week 7 but there are lots of lectures here and lots of new exercises. The faster you can (well-complete) Assignment 2 the better and it leaves a possible plan like (again I recommend 7 hrs per week… but managing your time is a difficulty for you to solve).

Green is coming up to Assignment 2, Orange to Assignment 3, and Red to Assignment 4

• Week 8: Complete Assignment 2 and watch as much Week 7 and Week 8 lectures as possible. If ahead of things try some Week 8 exercises.
• Week 9: There will not be as much lecture material, but we will finish Chapter 3. Finish watching the Weeks 7-9 lectures and give time to the Weeks 8 and 9 exercises.
• Week 10: Assignment 3 (20%, based on Chapter 3) will appear. If you have done the exercises from Week 8 and 9 you will be able to attack this. There will be some Chapter 4 lecture material and exercises.
• Week 11: Finish Assignment 3, watch all the Chapter 4 lecture material, and then try Chapter 4 exercises. Assignment 4 (20%, based on Chapter 4) will appear.
• Week 12: No new lecture material nor exercises. Might have daily Canvas assignments for students to get next day feedback on Chapter 4 exercises
• Week 13: Finish Assignment 4 for Tuesday 22 December.

Assignment 2

Assignment is on Canvas, and has a deadline the end of this week 8, Friday 20 November.

Week 8

Lectures

A lot here: you probably need three hours to watch these two hours and 22 minutes of lectures:

• Normal Distribution I (28 minutes)
• Normal Distribution II (27 minutes)
• Normal Distribution III (21 minutes)
• Sampling Theory I (27 minutes)
• Sampling Theory II (24 minutes)
• Sampling Theory III: Example (17 minutes)

Exercises

• p. 134, Q. 1-7
• p. 142-3, Q. 1-4

Additional Exercises

• p. 134, Q. 8-9
• p. 143, Q. 5-6

You can (carefully) take photos of your work and submit to the Week 8 Exercises.

Submit the images as a single pdf file. To do this, select all the images in a folder, right-click and press print. It will say something like How do you want to print your pictures? Press (Microsoft?) Print to PDF. If possible choose an orientation that has all the images in portrait.

Week 9

We will look at Hypothesis Testing.

Academic Learning Centre

Have you heard about CIT Maths Online (Links to an external site.) on Canvas? It’s full of helpful Maths and Stats resources, notes, quizzes and videos to help you throughout the whole year. 

During this period of remote learning we will be using the Maths Online module on Canvas to offer Maths and Stats support to you and answer as many student questions as possible. 

1-to-1 Maths appointments will be available through Zoom. There are 32 appointments available per week. Please log on to Maths online to see the most up to date resources and to book a 1-to-1 video call. Find out how to add it to your Canvas dashboard here https://studentengagement.cit.ie/alc/resources.maths (Links to an external site.). 

Drop-in Maths is on every Tuesday from 12 – 2. Here you can drop in to ask our lecturer a quick Maths question.  

If you have any other question about our remote Maths and Stats supports email Joy and Deirdre at academiclearning@cit.ie. 

See the CIT Students tab above for further resources.