Here are your parts
Replacement parts for MAYTAG MER5765RAB Range - S/c F/s Ele | AppliancePartsPros.com

Here is a tech sheet
http://www.servicematters.com/maytag_library/docs/16027247.pdf

Here is a manual
http://www.servicematters.com/maytag_library/docs/16025644.pdf

And a bulletin on switch replacement
http://www.servicematters.com/maytag_library/docs/TDC-0090-B.pdf


Most likely ity is the infinite switch.
But since you see an overheated connector I would disconnect the wires at the switch and check the element for continuity from there.
Be sure to note/mark the wires so you know where the go.
You could also check the switch itself.

Be sure to remove power from the unit when doing this.

I would also disconnect the overheated connector and check/clean it. Since overheating is an indication of a bad connection and it will often fail in the long run.

If you do not own a meter, I would suggest you purchase a one. You can get a decent digital multimeter for under $20.00. You do not need fancy though it is nice if the leads are a couple feet long.
If it saves ordering one unnecessary part it has paid for itself and you end up owning a useful tool.
Most places will not let you return electrical parts so if you order it, you own it.
A couple things to watch when measuring ohms and continuity
1. Always remove power from the machine otherwise you could blow your meter.
2. Always disconnect at least one side of any device you are checking. This eliminates the possibility of measuring an alternate/parallel circuit path.
3. When checking for closed contacts and continuity use the lowest scale (Usually 200 ohms). Then try higher scales. This scale is 0 to 200 ohms so if the device you are measuring is 300 ohms this scale would show an open circuit which it is not, you are just measuring outside the scale's dynamic range.

There is a good STICKY at the start of this forum about it's use.