When one come across some theorem, he should remember that this theorem is stated within some framework, which defines basic concepts and relations between them. We never can consider theorems separately from their framework.
This particular theorem can either holds or not holds depending on...
I would suggest you instead of Complex analysis class to take a good rest before studies start. Graduate study it is not so much fun as it was during undergraduate. You will have enough time to learn all these stuff when you will be sure what you really want to do.
You can store your functions in different files then they will be opened in separate windows.
Instead of coloring functions of one type, put them into classes and store classes in separate header files.
For drawing boxes around lines use MS Word.
I use Visual Assist from WholeTomato...
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