18.014 Calculus with Theory I, Fall 2002
Name
18-014-fall-2002/contents/index.htm
Size
16.63 KB
Format
HTML
Checksum (MD5)
f5bbeba84d27499e9854ceab2a0897be
Author(s)
Munkres, James
Lachowska, Anna
Alternative Title
Calculus with Theory I
Date Issued
December 2002
Abstract
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.
Subjects
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Persistent DSpace Link
