18.014 Calculus with Theory I, Fall 2002
Author(s)Munkres, James; Lachowska, Anna
Calculus with Theory I
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18.014, Calculus with Theory, covers the same material as 18.01 (Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course 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. Dr. Lachowska wishes to acknowledge Andrew Brooke-Taylor, Natasha Bershadsky, and Alex Retakh for their help with this course web site.
axioms for the real numbers, the Riemann integral, limits, theorems on continuous functions, derivatives of functions of one variablethe fundamental theorems of calculus, Taylor's theorem, infinite series, power series, rigorous treatment of the elementary functions, Calculus