Solutions to exercises in the L3 Physics and Calculus notes?

[Angtaire]

L3 Physics, L3 Calculus

Hey aelzenaar. First of all thank you very much for making this comprehensive document on the L3 Physics for students taking the scholarship like me. I really like how you don't shy away from using calculus to help understand how some concepts relate to each other (i.e. work, force, momentum) and how you provide a collection of interesting textbook-like exercises both conceptual and more rigorous (like proofs) in both the Physics and the Calc notes. It's really cool how the notes stray from simply number-plugging problems like in NCEA, and the Calc note specifically made me love Calculus more. I've attempted several of the exercises before I realised there were no solution sheets provided so had to post some more challenging questions to the Maths StackExchange since I'm a self-studying student with no tutors/teachers willing to help.

I know that it'd take a massive amount of work going over these notes -- the ones I have are the big compiled L3 physics externals and new L3 Calc notes -- putting in solutions while you are busy with your university education (and doing it without payment as well). So I don't mind keep asking questions on the Maths Stackexchange. But if you happen to keep a solutions pdf of the exercises in these notes, it'd be really nice if you could post them on here (don't necessarily need to be fully worked out line-by-line solutions either since that'd be added work for you).

Thanks!

[aelzenaar]

Hi,

Thanks for getting in touch, it is nice to hear that my notes are useful.

I don't have worked solutions for either, unfortunately; I have some for my trig problem sheets, the solutions are scanned in here: https://github.com/aelzenaar/ncea-notes/tree/master/L3%20Maths/Trigonometry. I am not tutoring high school any more and so it is unlikely I will find the time to write any more solutions up.

I am not sure whether you want solutions to check your answers, or to help you when you get stuck. Knowing when you have done "the right thing" is a very important mathematical skill (I know that learning this is hard when you don't have any guidance from anyone, unfortunately I have no advice to give though except to get into the habit of checking your answers yourself, e.g. checking an integral by taking the derivative of your answer). If you want exercises with solutions I recommend having a look in your local library: most university libraries are open to the public (though not right now due to covid restrictions), and the big city libraries usually have some basic mathematics books like Stewart's Calculus which are accessible to high school students and which normally have easy to find answers online - for instance you can try books numbered in the 515's for calculus.

Feel free to email me any questions as well, my email address is on my academic website (https://aelzenaar.github.io/). I can't promise I will get to them in a timely manner (though I try to reply quickly, like most academics I get a lot of emails). Generally the people on Math.SE are friendly enough as long as you take any feedback about question formatting and content that they give in the comments seriously, it is a great resource.

Best
Alex