18.02 - Multivariable Calculus (Spring 2012)

 

NOTE: All problem sets, lecture notes and old exams will be posted on Stellar.


Instructor: Gigliola Staffilani

Office: Room 2-246

Email: gigliola [at] math.mit.edu

Lectures: TR 11, F2 in 54-100

Office Hours: W 2.30-4.30

Course Administrator: Nick Sheridan


COURSE 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.

Prerequisites: Calculus I (GIR)

Text Books: Simmons, Calculus with Analytic Geometry, 2nd edition.

18.02 Supplementary Notes and Problems: can be obtained online here, or from Copy Tech (11-004) for around $13.

Professor Staffilani's lecture notes.


COURSE INFORMATION


SYLLABUS AND SCHEDULE


RECENT UPDATE