# 3 Summary of Session 1

In this session you have seen how we can define differentiation for complex functions, check whether such a function is differentiable, and seen how to differentiate complex rational and polynomial functions. You have learnt how this can be extended to the partial derivatives of complex functions of more than one variable, and studied the Cauchy-Riemann equations that link the first partial derivatives of the real and imaginary parts of a differentiable complex function of two variables.

You can now move on to Session 2: Integration.

OpenLearn - Introduction to complex analysis
Except for third party materials and otherwise, this content is made available under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 Licence, full copyright detail can be found in the acknowledgements section. Please see full copyright statement for details.