It depends on the complexity of the circuit. You can (and likely will) design a basic circuit in your first EE class using nothing but basic algebra.
AchillesWrathfulLove said:
Can you let the software simulation take care of that?
You'll be the one deciding which components to place, how to connect them, the details of the power source, etc. A computer can help you solve the unknowns and makes it easier to design large, complex circuits, but it doesn't replace the Mark I brain.
AchillesWrathfulLove said:
Do you really need to know the voltage across a capacitor? How about the time constant of an RL Circuit or Natural response of an RL Circuit? Is it simpler than that to design and construct circuits?
In general, no, it's not simpler than that. If you want to build non-trivial
useful circuits for the real world you'll need to know all the stuff they teach in EE. The experience you gain while learning the basics, along with tools and techniques you'll learn about, will make things easier, but they won't replace an actual understanding of the components.
AchillesWrathfulLove said:
I am wondering if I can take short cuts here instead of learning stuff I don't need to really know.
Don't ever try to take short cuts when learning the basics of a subject. Learn as much as you can. If you skimp on the basics, it
will bite you on the backside later on.