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There is nothing a man can do that a woman cannot.

Father Children. Done. See also, produce sperm and grow facial hair(except in cases of women with abnormal testosterone levels).

Also, in regards to the chivalry argument. I would have to agree with Jellybelly. We're discussing the WoT, but we aren't doing it on it's own terms. Isn't it possible that rather than Chivalry coming about due to men thinking women were weaker, or too valuable to lose (which is historically inaccurate as, during times of chivalry, common thought saw women, or at least wives, as little more than property), it came about due to the fact that they DO live in a matriarchal society?

Here's the reasoning: For nearly three thousand years the majority of Randland has been ruled by women. During this time the most powerful person on the continent has always been the Amyrilin seat. Now, before we go any further, we must address the issue of warders. Why do Aes Sedai have warders? It's simple, really. Aes Sedai are bound by the three oaths. They cannot channel to defend themselves unless they are attacked specifically (by the very wording of the oaths). Because of this they need someone who will stand between them and their assailants and even take damage for them if necessary. This is where the notion of Chivalry came from in the WoT.

Viewed in this light, isn't the men's inbred need to protect women actually sexist against men? It isn't done because men are 'stronger' or more 'powerful', it's done because women are 'more valuable' and require, dare I say, disposable protection. (fortunately the nature of the bond keeps Aes Sedai from forgetting that they aren't disposable, but nevertheless, the lower classes always mimic the upper, and the reminder isn't nearly that far reaching.)