18.014 Calculus with Theory
Covers the same material as 18.01, but at a deeper and more rigorous level. Emphasizes careful reasoning and understanding of proofs. Assumes knowledge of elementary calculus. Topics: axioms for the real numbers; the Riemann integral; limits, theorems on continuous functions; derivatives of functions of one variable; the fundamental theorems of calculus; Taylor's theorem; infinite series, power series, rigorous treatment of the elementary functions.
This class has no prerequisites.
18.014 will be offered this semester (Fall 2017). It is instructed by J. W. Bush.
Lecture occurs 1:00 PM to 2:00 PM on Tuesdays and Thursdays in 2-131.
This class counts for a total of 12 credits.
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