In MO does the Land Lord have to give a 60 Day notice of renewal of your lease?

[abisha]

In Missouri, My 1yr. lease started on March 13 2010 and in the lease it states that we would need to let the LL know 60 days in advance that we would not be renewing our lease. The lease ends on March 13 2011. We turned our notice in on Jan 24-11 days after the '60 day' window. My question is this-Is it BY LAW required in the State of Missouri that the LL send us by certified mail a letter asking/reminding us about renewing the lease before the 60 day window?
I am asking this because they are now saying that we will HAVE to stay until March 23 and pretty much pay a full months rent also, even though the lease is up March 13 and they gave us no notice. I thought on a Month-to-Month lease only a 30 Day notice was required. Also, in the State of MO I know that legally we aren't even required to give notice..
So--how does that work? Legally am I really obligated to stay/pay/them amend the rental agreement in their favor?
Please any legal advice or knowledge of MO LL/Tenant Laws would be such a great help--Moving is already stressful enough I don't need this!

[sebastiano]

No, you are mandated to give notice, not the landlord. Your landlord is not a private secretary.

[honi]

No the landlord does NOT have to remind you. Your lease mandates you give 60 days notice. So your landlord is being nice. Majority of Landlords do NOT prorate rent and would demand Aprils Rent also.
No on a month to month the Terms of the Signed leased are still in force