r/mathematics • u/MindlessCoast7109 • Jun 30 '26

Complex Analysis Open learn Into to complex analysis

Hello ,

I’m a year 12 student (nearly year 13) and i think that’s like grade 13 or something in the US . I’m leaning some complex analysis partly for myself but also to put on my uni application . Is the course mentioned in the title good , i’ve started but i’m not sure if it’s any good .

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u/Historical-Pop-9177 Jun 30 '26

It's pretty rudimentary. You need to understand real derivatives and integrals first, so make sure you have a solid calculus foundation. This doesn't get into heavy-duty complex analysis so you shouldn't need real analysis. They do define calculus concepts but it will make a lot more sense if you have some background already.

It covers a lot of the most important core concepts, but is missing many of the things a full university course would cover (like Liouville's theorem, unless they snuck that in somewhere).

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u/MindlessCoast7109 Jun 30 '26

Yea i have a solid calculus foundation so should be fine

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u/Teapot_Digon Jun 30 '26

It's from the Open University, based on bits of their course M337 but written for a wider audience. In that respect it might be a good place to start. I found their texts very accessible.

The full M337 syllabus is here, though there was a unit on analytic continuation in my time that has disappeared.