I have 2 of those "I'm gonna beat this hill if I have to die trying" hills that I have been avoiding because I have had to walk them every time. Just like Jessie, I get to a certain point and just can't go on any longer. Think I'll incorporate the advice I've been reading into my ride tomorrow and include those hills.
Just to add something to the topic, no one has mentioned breathing. I know it sounds obvious and maybe you are already doing this, but I find that incorporating "belly breathing" really has helped me with my hill climbing. It keeps me focused and gives me more power.
Rosanna
It never gets easier, you just go faster. ~ Greg LeMond
Trek Neko S
Lemond Reno