*Please find a provisional plan for Weeks 9-13. I do not yet have any certainty around assessment. At this time it is my intention to deliver week-on-week up to 19 April, and then have three weeks of review after this. Of course all plans are provisional in the current environment.*

## Week 9 to Sunday 29 March

### Lectures

If you have not looked at the Week 8 material you should do so now.

A very short lecture as I want you to devote a lot of time doing exercises this week:

- Over-, Under-, and Critical Damping (6 minutes)

### Tutorials

You will be recommended to spend the remainder of your MATH7021 time, c. 6.75 hours working on the p. 133-8 exercises. Start with:

- p.133, Q. 1-10

When you feel you are comfortable with the material please begin Assignment 2 on p.167.

Otherwise continue with:

- p.137, Q. 11-18

You can (carefully) take photos of your work (with questions labelled neatly) and submit to the Week 9 Ungraded Tutorial Work those images on Canvas before midnight Sunday 29 March. After 09:00 Monday 30 March I will download all student work and reply with feedback.

If possible, 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.

Do not hesitate to contact me with questions at any time. My usual modus operandi is to answer all queries in the morning but sometimes I may respond sooner.

### Assignment 2

You are now able to begin Assignment 2 on p.167. My advice for the moment, for MATH7021 at least, is to focus at this time on learning rather than assessment. If you have gotten to grips with Laplace Transforms, doing Assignment 2 is as good a learning task as any. I am sorry that I cannot be more definitive than that at this stage. As soon as I have more information I will let you know.

## Week 10 to Sunday 5 April

### Lectures

Perhaps of the order of 1.5 hours of lectures on Systems of Differential Equations.

### Tutorials

Same as Week 9.

*From this point on there is little point making advance plans for Tutorials.*

## Week to Sunday 12 April

### Lectures

Perhaps of the order of 2 hours of lectures on Double Integrals.

## Week to Sunday 19 April

### Lectures

Perhaps of the order of 2 hours of lectures on Triple Integrals.

## Week 11 to Sunday 26 April

### Lectures

I will go over the Summer 2019 Exam Paper. This video may be of the order of 3 hours.

## Monday 27 April to ?

It is my intention to continue providing learning support for you.

## Undetermined Coefficients

Only those of us who finished Assignment 1 early got much tutorial time with Chapter 2. I will hope that we will get more tutorial time on Chapter 2 at a later date, but until then, I have developed the following for you to practise your differentiation which you need for Chapter 2 here:

Exercises:

- p.86, Q. 1-5
- p. 91, Q. 1-7
- p. 86, Q. 6

## 5 comments

Comments feed for this article

March 23, 2020 at 7:24 am

StudentHi J.P.,

Hope all’s well.

Just started tutorial time today and on question 2 of page 134 just wanted to send it on to see if I’m doing it correct and not bluffing my way to answer I feel my method could be incorrect.

March 23, 2020 at 7:30 am

J.P. McCarthyYour work is very good.

You are wondering about:

.

I would say look at . How would you pronounce that:

“Three Fifths” = .

This is essentially how we define:

,

where is the unique number with the property that:

.

So, almost by definition:

.

Any further questions please ask.

Regards,

J.P.

March 23, 2020 at 12:22 pm

StudentHow to solve ?

March 23, 2020 at 12:26 pm

J PWork from the outside.

You have a multiplied by ten? What is the inverse (opposite) of multiplying by ten? Dividing by ten. Divide both sides by ten:

You want to get rid of the , the exponential. What is the inverse of exponental? Natural log, . Apply this function to both sides:

Now you have a multliplied by . The inverse is dividing by . Apply this to both sides:

.

Regards,

J.P.

March 27, 2020 at 5:56 pm

MATH7021: Spring 2020, Week 10 | J.P. McCarthy: Math Page[…] you have not looked at the Week 9 material you should do so […]