Originally posted by: Muse
Funny you say that. I got no such warning, but I remember my Intro to Topology class at the university. It was absolutely my worst math class ever. I passed it but I was absolutely never comfortable that I had a grasp on what it was all about, what it meant, what it was good for, what it was, really! It was very frustrating. There were far too many people in the class, to begin with - a pretty big lecture hall. I believe that the professor was famous and distinguished, and he may have even written the textbook. I studied the textbook and its theorems until I could grasp the proofs, but I had little if any sense of the whys and wherefores for them. I was musing about this just the other day. I think my confusion might have been mainly due to a failure of the text to present a perspective on how and why the field of mathematical topology developed. I think that the coursework for practically all the other areas of the mathematical sciences that I studied was purposefully imbued with a perspective on how and why that area of knowledge evolved and grew. I think that is instrumental in giving the student an understanding of a scientific discipline and in awakening his/her curiosity. They failed to even attempt to give me a sense of why and how the theorems of introductory topology even existed That's my theory, anyway! I had to think about this because when I eventually did get my degree, it was in mathematics.