MAT157Y Analysis I: Is it for you?

Who should be taking this course? This course is aimed at students planning to continuue in our specialist programs -- in particular, students wishing to keep open an option of pursuing a career in mathematics or related discipline. If your motivation is that you want to `challenge yourself', then this course if probably not for you. If you only need analysis/calculus for the purpose of computational applications, then probably you don't need this course.

Is this a hard course? It depends on the person, but most students will find it quite hard. The level of abstraction is not for everyone, and since there is a lot of material to cover the pace is brisk. You'll need to have a genuine passion for mathematics, and also work hard, in order to succeed in this course. (Even then there is no guarantee...)

Is this a fun course? IF you like this kind of stuff, IF you can keep up, and IF are not overwhelmed by the workload and the level of abstraction, then I hope it will be very enjoyable!

What is the success rate? It depends on how you measure success. Typically, less than half of the students starting this course will end up passing the course. Many students will drop the course once they realize that they cannot keep up; but even if we don't count those students the failure rate is rather high.

What kind of math will be taught in this course? The type of mathematics encountered in this course is quite different from what is normally taught in high school. (It is not the University's `AP Calculus'.) The big emphasis is on definitions, theorems and proofs. Sometimes we will enjoy proving statements that are beautiful (e.g., the fact that the number pi is irrational), but have almost no significance in `real life' applications. (They may still be important for mathematics!) Sometimes we may even give more than one proof -- often, the proof itself is interesting, not only the statement being proved. The computational aspects will be taught as well -- many people find some of these pretty hard as well, but not as hard as the abstract part.

What kind of material is on exams? In short, everything that is being taught in class. But beware that memorization won't get you far. There will be `proof' questions, and it's usually proofs of statements that you haven't seen before. (As opposed to proofs you've seen in class.) There are usually no `algorithms' for doing such proofs, and some creativity and imagination is typically required.