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Description and goals:
A closer, more rigorous look at the fundamental concepts of differential
calculus in one variable. The main focus will be on the structure of
real numbers and the key notions of limit, continuity and derivative;
standard applications will be presented as mere examples. The course provides
a good opportunity for students to learn how to read and write proofs.
The true prerequisite for this course is the intellectual curiosity to
learn about a nice piece of mathematics and the willingness to think.
Familiarity with non-rigorous
calculus is generally assumed, but not essential.
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References