ADC Signal conditioning. Transform 1V-4V to a 0V-5V signal, how can I do it?
Use an inverting Op-Amp configuration with a gain of \$\frac53\$ to scale your (4-1)V = 3V range to a 5V range. Then, use another opamp to add that to a constant 2V source.

Implementation's up to you, Opamp circuits can easily found on the internet (wikipedia!) and easy to implement, so this is actually more help then you should have needed as a college student.