Yeah, the sleep deprivation as a parent is impressive. Before parenthood, I assumed it would end after the late night feedings. I saw the stuff about it lasting years. I didn’t grasp that it remained as strong for years and then maybe taper off.
But, yeah, Mondays are like walking into a wall.
My approaches are:
- Coffee doesn’t help so much as mask the tiredness. I use it anyway.
- Sleep when I can. (For me, I fall out hard early in the night which matches the kid’s usual pattern.)
- Leverage the external brain (calendar, reminders)
My wife does similar, but her sleep cycle wants the hardest sleep starting after 4 am, so the kid waking up around then hits her harder than it does me. I try my best to get the kid quiet in another part of the house. But, still, the brain fog is hindering her more.
Polymath Parent 
Excellent and true advice.
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