I am planning on taking an intro to real analysis course offered by my university to increase my graduate school admission chances. I do have a solid understanding of differentiation and pretty good knowledge of integration. However, I have zero proof writing experience. The book being used is A First Course in Real Analysis by Protter and Morrey and the course description is as follows:
Topics include finite and infinite sets, axiomatic study of real numbers, topology of Cartesian spaces, sequences of functions, continuous functions, differentiation of functions of one variable.
A prerequisite for the course is discrete math which I have not taken yet so this is primarily why I am concerned. And I don't have the time to take discrete math first as I am sending my graduate applications out in a few months.
Will I be totally lost or is it practically possible to power through it with at least a B?
Thank you all for the input in advance!
Probably the Discrete Math course is your school's introduction to proof writing, so skipping it might be a handicap. However, last Summer I tutored a student in just your situation. He needed Real Analysis to get into a graduate economics course. He was bright and worked really hard. We did two 2-hour sessions each week. The proofs were very difficult for him but he mostly managed.
Was he successful? He got a B+. He needed an A for his program so he didn't get in.
So it's possible that you could take the course and get a decent grade. Will it be decent enough? is another question.