MATH 2XB3 - Vector Calculus II

3 unit(s)

Further topics in vector calculus, with an emphasis on proofs. Change of variables. Jacobians. Polar coordinates. Triple integrals. Spherical and cylindrical coordinates. Line integrals. Scalar, vector fields, gradients. Parametrized surfaces. Surface integrals. Green’s Theorem. Gauss’ Divergence Theorem. Stokes’ Theorem. Harmonic functions. Differential forms. Sequences of real numbers; limits, monotone sequences, Cauchy sequences. Series of real numbers. Absolute convergence. Alternating series.
Three lectures, one tutorial; one term
Prerequisite(s): One of MATH 2MC3, 2XA3 (or MATH 2X03), 2ZZ3 or credit or registration in ISCI 2A18 A/B
Not open to students with credit in MATH 2XX3.