I read the article thanks. I tried the settings-general-reset-reset network settings-reboot system-go to wifi settings-select wireless connection-select the ">"-symbol-select auto for http proxy. I was optimistic about that because I thought I changed some setting somehow to cause this problem, but it didn't work. More specifically, I did connect successfully and browsed the Internet for a good while, but then I put down the phone for a minute, the phone went into sleep/power save mode, and when I picked it back up a moment later it was no longer connected. Dang. Had to select the connection and use my password yet again.
Another valuable bit of info for you. The only network with which I have this problem is my home. I use all kinds of devices at home and no other devices have this problem. Also, I use this iPhone all over with various wifi networks at hotels and starbucks and family's homes with no issues whatsoever. It remembers and automatically reconnects with every wireless network except the one in my own house.