Is this considered a minor kernel update from 3.2.0-24.38 to 3.2.0-35.40?

Question

I am thinking of installing Ubuntu 12.04.1 LTS, 64 bit, English. It comes with a kernel version 3.2.0-35.40

One of my programs only support kernel version 3.2.0-24-generic. On http://packages.ubuntu.com, there is only one kernel version closest to it, which is 3.2.0-24.38.

Question:

Should I stay with 3.2.0-35.40 or downgrade it to 3.2.0-24.38?

P.S.: I am new to Linux and Ubuntu; hence detailed clarifications would be most welcome.