How much multivariate calculus should I read to read complex integration?

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I do not have much knowledge in function of several variable. But I have some exams where complex analysis is needed. I started to read complex analysis but I got stuck on the proof of Cauchy's theorem because it involves Green's theorem. Then I realise that the knowledge of Multivariate calculus is essential.

That's why my question is how much Multivariate calculus is needed to read complex analysis up to integration.

Can anyone please help me?

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You really do not need much multivariable calculus to learn about complex analysis. Do not panic and pay attention, you will learn it easily.