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18.024 Multivariable Calculus with Theory (MIT)

This course is a continuation of 18.014. It covers the same material as 18.02 (Multivariable Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear algebra and vector integral calculus.

Keywords:: partial differentiation, determinants, Green's theorem and applications, Divergence theorem, Vector algebra in 3-space, line and surface integrals in space, vector integral calculus, Differential Equations, Vector-valued functions of one variable, ocwc, oec, Double integrals and line integrals in the plane, optimization techniques, triple integrals, space motion, gradient, Scalar functions of several variables, Calculus of several variables, exact differentials and conservative fields, Stokes' theorem, applications, linear algebra, matrices, Linear Algebra

Disciplines:

Mathematics and Statistics / Mathematics / Algebra and Number Theory / Linear Algebra

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Material Type:: Online Course
Date Added to MERLOT:: August 6, 2014
Date Modified in MERLOT:: August 7, 2025
Author:: Christine Breiner
Submitter:: The Open Education Consortium
Primary Audience:: College General Ed
Technical Format:: Website

Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Creative Commons:: This work is licensed under a Attribution-NonCommercial-ShareAlike 3.0 United States