18.024 Calculus with Theory II, Spring 2003

Munkres, James; Lachowska, Anna

Author(s)

Munkres, James; Lachowska, Anna

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Alternative title

Calculus with Theory II

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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.

Date issued

2003-06

URI

http://hdl.handle.net/1721.1/74132

Department

Massachusetts Institute of Technology. Department of Mathematics

Other identifiers

18.024-Spring2003

local: 18.024

local: IMSCP-MD5-2fc878546eee25036f80230c77ade59d

Keywords

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

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