How to be good at Physics
A couple of articles appeared recently that I encourage people to read who are studying physics, or interested in studying physics.
The first article by Carl Wieman is from Physics Today and is entitled How to become a successful physicist. It is aimed at graduate students, though most of what it says is relevant to those at an earlier stage of their studies. Here’s an excerpt from near the beginning:
The primary characteristic of a successful physicist is being a good problem solver.
The article goes on to say some very interesting and instructive things, and is well worth reading in its entirety. There are one or two things that I don’t agree with though. One is the statement that…
…textbook problems provide all the information needed and have a single well-defined path to a solution.
That’s true of many problems at an elementary level, but problems at undergraduate or graduate level often have more than one way of finding the solution. That’s certainly true of many that I set as assignments. Indeed, sometimes the students come up with better ways of approaching them than I did! The important difference between textbook and research problems is that you know the textbook problems have a solution. Research is scarier because you don’t know at the outset that an answer can be found!
The second article, by Ethan Siegel, is called The secret to becoming an excellent physicist. Here is a quote from that, revealing the “secret”:
It’s simplicity itself: you become good at physics by solving physics problems. That’s it: that’s the secret. If you want to become competent at physics, you will solve physics problems in the area you wish to learn.
I hope you get the message. It’s not about rote-learning facts and formulae. The brain is much more than a memory device. It’s all about problem-solving. The ability to do that effectively can only be learned through practice.
I’m currently teaching two modules on Mathematical Physics and I devote most of the time in lectures for both of them to doing worked examples rather than proving theorems or presenting facts, theorems, derivations, formulae, etc to learn. I spend quite a lot of time in lectures giving students things to work out, which makes classes more interactive, but students also have tutorials built around problem-solving tasks to complement this.
If you’re interested you can see my post on How to Solve Physics Problems; there is also a video version here.
I’d add one piece of advice. If you really want to develop as a physicist, don’t just solve a lot of easy problems; challenge yourself by tackling difficult ones too. Don’t be afraid to get “stuck” or make a mistake, as those are both necessary parts of the learning process. Above all, develop the confidence in your ability to take on a problem and back yourself to solve it and don’t be deterred if the answer doesn’t come quickly!
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October 22, 2022 at 5:39 pm
If any students are reading this, I endorse absolutely what Peter says above.
I can’t resist adding an anecdote. Someone once made a mathematical conjecture about the nonlinear Boltzmann equation – Cedric Villani territory. Based on numerical solutions they had calculated, it looked true. So I spent six weeks throwing everything at it and got nowhere. Then one day I thought, “What if it isn’t true and the failure occurs in regimes beyond where the computer looked?” There was a sufficient condition for it to be true. If this condition were also necessary, it was easy to find a specific counter-example. I then looked up in pure maths books whether the condition was both necessary and sufficient. It was! Q.E.D. (or in this case Q.N.E.D.).
October 22, 2022 at 8:49 pm
Yes, I agree about trying analytical problems to develop understanding in physics, and in science more generally.
Another useful technique is to calculate things. Putting numbers on various issues can illustrate the scale of effects, and allow things to be compared. At research level, it is possible to find tabulated data in research papers that can be copied into data files and simple plots made, or calculations performed. It’s an excellent way to explore and understand things.
October 23, 2022 at 12:17 pm
Not much point in getting them to spend a lot of time on derivations, as at their age many will not have their deriving licenses…..
I’ll get me coat.
April 21, 2023 at 11:25 am
[…] shown by the students in refusing to be defeated was truly admirable. This harks back to a piece of advice I gave some time […]