## The Start of Spring Semester

It’s February 1st 2021, which means that today is *Imbolc*, a Gaelic festival marking the point halfway between the winter solstice and vernal equinox, i.e. it’s a Cross-Quarter Day. To be pedantic, Imbolc is actually the period between this evening and tomorrow evening as in the Celtic calendar days were counted from sunset to sunset.

The first Day of February is also the Feast day of St Brigid of Kildare (c. 451-525), one of Ireland’s patron saints along with Saints Patrick and Colm Cille. One of her miraculous powers was the ability to change water into ale, which perhaps explains her enduring popularity among the Irish.

In Ireland this day is sometimes regarded as the first day of spring, as it is roughly the time when the first spring lambs are born. It corresponds to the Welsh *Gŵyl Fair y Canhwyllau* and is also known as the `Cross Quarter Day’ or (my favourite) `The Quickening of the Year’. According to legend it is also the day on which jackdaws mate. Given how many of them there are around Maynooth there should be a lot of action today.

Today is, appropriately enough in the light of all this, the start of the Spring Semester of teaching at Maynooth University, the fourth Spring Semester I will have experienced here although this is obviously not like the others in that we’ll be teaching online at least for the first half and probably for the entirety. I was planning to stay at home today but I realised I’d left some things I need in the office on campus so will have to go to collect them. That’s why I’m up early. That and the need to shake myself out of the lockdown torpor that has afflicted me since New Year. It’s time to get my act together, pull my finger out, put my best foot forward, etc.

This Semester I am teaching Engineering Mathematics II, Computational Physics I and Advanced Electromagnetism. The former, what you would probably call a `service course’, covers a mixture of things, mainly Linear Algebra but with some other bits thrown in for fun, such as Laplace transforms. Interestingly I find the Mathematical Physics students do not encounter Laplace Transforms in the first year, but perhaps engineers use them more often than physicists do? I think I’ve written only one paper that made use of a Laplace transform. Anyway, I have to start with this topic as the students need some knowledge of it for some other module they’re taking this semester. I reckon six lectures will be enough to give them what they need. That’s two weeks of lectures, there being three lectures a week for this module.

Once again my teaching timetable for this module is quite nice. I have lectures on Monday, Tuesday and Wednesday and then the students have a choice of tutorial (on either Thursday or Friday). That means I can get through a decent amount of material each week before each tutorial. I don’t do the tutorials, by the way: that’s left to one of our PhD students, who gets paid for doing that and correcting the weekly coursework. There are about 50 students on this module, divided into two courses: Electronic Engineering and Robotics and Intelligent Devices. We don’t have Civil or Mechanical or Chemical Engineering, etc, at Maynooth, in case you were wondering. Lectures will be done as webcasts using Panopto but also recorded for later viewing.

My first Computational Physics lecture, which I will do from home, is on Thursday, after which there is a lab session which we will do via Microsoft Teams. That’s the way we did it after lockdown last year and it worked OK. Students attend one two-hour lab session in addition to the lecture, on either Thursday or Tuesday. The first lecture being on Thursday the first lab session will be Thursday afternoon, with the same material being covered the following Tuesday. Fortunately, Python is free to download and easy to install so it’s quite straightforward to run the labs remotely. Teams has a screen sharing facility so it’s quite easy for myself or my demonstrator to see what is wrong in the same way we would do in a laboratory class.

The Advanced Electromagnetism module is a new one for me but I’m quite looking forward to it. Being a final-year module its content is less prescriptive than others and I’ll be adding a few things that I find interesting. Both lectures for that one are on Wednesdays and again will be given as webcasts with recordings available later.

Today is a particularly busy day because in addition to my first lecture (at 2pm) I have a meeting of Academic Council (3pm via Teams), a Euclid telecon (via Zoom) and a meeting with my PhD student via Teams. I have also been trying to sort out tutors and tutorials for the forthcoming Semester: these don’t start until next week so there’s time, but it has been quite a challenge to get everyone sorted. Fortunately I think that’s now done.

Oh, and another thing. I signed up for Irish language lessons (Beginners Level) and will be having classes once a week from now on.

It’s going to be a very busy term but I reckon being busy is probably going to be a good way to get through the next few months.

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February 1, 2021 at 11:26 am

I needed the Laplace transform once. Successive derivatives of the Laplace transform of a positive-definite function alternate in sign at every point. Is the converse true? Yes it is, and that was enough to get me the result I wanted.

February 1, 2021 at 1:35 pm

The Fourier transform of a non-negative definition symmetric real function is always convex.

February 1, 2021 at 2:36 pm

What does it mean to say that a complex function is convex?

February 1, 2021 at 3:34 pm

Ah, you said symmetric….

February 1, 2021 at 6:27 pm

Yeah. Get real.

February 1, 2021 at 1:42 pm

Laplace transforms appeared in a module on electronics when I was a physics student manuy many years ago. I didn’t understand them then, and I’ve just looked at the textbook again to confirm that I don’t understand them now! I know that analogue electronics engineers use them in the design of filters and suchlike, but exactly how and why to use them seems a black art…

February 1, 2021 at 1:43 pm

They’re used a lot in analyzing the stability and response of electrical circuits and analogous systems with feedback.

February 1, 2021 at 7:36 pm

Engineering Mathematics II, Computational Physics I and Advanced Electromagnetism? That seems like quite a lot of teaching hours for a university lecturer/professor. In the IoT sector, we typically have heavier teaching loads than the universities, but I must admit I rarely have more than three modules of lectures (plenty of labs and tutorials as well, but they requite less prep)….

February 1, 2021 at 7:43 pm

We do have quite heavy teaching loads, but we only do the lectures (for the 1st three years anyway). The tutorials and coursework marking are done by PhD students. I have 6 lectures per week (3 EE, 2 AEM and 1 CP). That’s higher than I would have had in the UK (except in Nottingham, where I did the same number of modules as I’m doing now).