18.024 Calculus with Theory II, Spring 2003
Name
18-024-spring-2003/contents/index.htm
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17.29 KB
Format
HTML
Checksum (MD5)
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Author(s)
Munkres, James
Lachowska, Anna
Alternative Title
Calculus with Theory II
Date Issued
June 2003
Abstract
This course is a continuation of 18.014. It covers the same material as 18.02 (Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear algebra and vector integral calculus.Topics include: Calculus of several variables. Vector algebra in 3-space, determinants, matrices. Vector-valued functions of one variable, space motion. Scalar functions of several variables: partial differentiation, gradient, optimization techniques. Double integrals and line integrals in the plane; exact differentials and conservative fields; Green's theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes' theorem; applications. Dr. Lachowska wishes to acknowledge Andrew Brooke-Taylor and Alex Retakh for their help with this course web site.
Subjects
linear algebra
vector integral calculus
Calculus of several variables
Vector algebra in 3-space
determinants
matrices
Vector-valued functions of one variable
space motion
Scalar functions of several variables: partial differentiation
gradient
optimization techniques
Double integrals and line integrals in the plane
exact differentials and conservative fields
Green's theorem and applications
triple integrals
line and surface integrals in space
Divergence theorem
Stokes' theorem
applications
Calculus
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Persistent DSpace Link
