18.014 Calculus with Theory I, Fall 2002
Author(s)
Munkres, James; Lachowska, Anna
Download18-014-fall-2002/contents/index.htm (16.63Kb)
Alternative title
Calculus with Theory I
Metadata
Show full item recordAbstract
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.
Date issued
2002-12Department
Massachusetts Institute of Technology. Department of MathematicsOther identifiers
18.014-Fall2002
local: 18.014
local: IMSCP-MD5-becc0d3b144d63402822dc4cafaa40fa
Keywords
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