I have a controller for an electric throw blanket that I would like to repair, but I have no experience soldering on boards
You can see at bottom left a yellow box and a resistor. Something has burnt out in this area, and likely both will need to be replaced at a minimum
I would also need help identifying parts. The yellow box is embossed 'Tenta' and has printed on the side 'TC MEX/TENTAMKP 0.1 uf 275VAC' with some other markings obscured or damaged
Is this an achievable project?
If those components are the only issue then that should be reasonably easy to fix with a soldering iron. The yellow box is a film capacitor of some kind, you can most likely just find one that is rated for the same or higher voltage and the same capacitance (0.1uf). The part that burned is a power resistor like you said, the color bands on the part can tell you what resistor value it is, and i would guess it's rated for 0.25W perhaps
There is something on the U1 chip, is that just some dirt or is it damaged as well?
Thanks, if that is the pad below the resistor I assume that component is also damaged and would likely replace it as well. I'll do some searching and reading on the capacitor, is a U1 chip something generic or will it have markings to indicate specs?
A bit of context for you:
U1 is a reference for the PCB designer and assembler (if soldered by hand).
The information you need to find a replacement is the etched text on top of the IC (Integrated circuit, a.k.a "chip").
If you're able to read that, put the whole thing into Google or Octopart or your electronics component supplier of choice (Mouser, DigiKey, Farnell, etc). and you should find the IC you need.
Thanks!