current to voltage converter op amp question
What you're looking for is a DC offset on your output. You know that for 0 input you want an output of +5 volts, so you'll want +5V on the non-inverting input to get that DC offset. Then you know that you want a gain of (output signal range)/(input signal range) = (10V)/(1mA) which means you'll want a current to voltage gain of 10,000 which will require a 10 kOhm resistor. A simple schematic would look like this:







simulate this circuit &ndash; Schematic created using CircuitLab

You were a little inconsistent with the polarities of your signals in the questions (is 0mA supposed to be +5 or -5V?) but that's all easy to change. The only thing is you might need an inverting amplifier on the output if for example the DAC can only source current but you want a positive gain. Current to voltage converters have a gain of -Rf.