Summary: 18.024ESG Course Description
Pramod N. Achar
Instructor: Pramod N. Achar
Office: Rm. 2-251
Phone: x3-7566 (office); 776-9956 (home)
Class Meetings: TRF3 in Rm. 24-621
Text: T. M. Apostol, Calculus, 2d ed., vols. I and II.
Grading: 40% problem sets; 40% exams; 20% participation
Overview. The first semester of calculus was about functions whose domain
and codomain were R, or subsets thereof. This semester, we will study functions
whose domain and codomain are subsets of Rn
. Three major questions we want
to try to answer this semester are:
· What does it mean for a function in this setting to be differentiable? How
do we compute its derivative(s)?
· What does it mean for such a function to be integrable? How do we
compute integrals in this setting?
· What is the relationship between differentiation and integration? Is there