18.02 Multivariable Calculus

Catalog description:
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.

Also see the math department’s subject overview for courses on calculus.

Resources:

• Fall 2022 recitations
• Fall 2021 lecture notes
  • In recent years the 18.02 curriculum has been modernized, in particular to incorporate more linear algebra.
• Fall 2010 (18.022) OCW (homework, solutions, exams, lecture notes)
• Fall 2010 OCW (homework, solutions, exams, lecture videos, lecture notes)
• Fall 2007 OCW (homework, exams, lecture videos)
• Fall 2007 OCW (homework)
• Fall 2011 - Fall 2019 Concourse version of 18.02 (no resources)
• MITx online version part 1, part 2
• Fall 2011 - Fall 2018 Concourse version of 18.02A (supplementary notes)