Functions of multiple variables and their differential calculus. The gradient and the Hessian. Constrained and unconstrained optimization of scalar-valued functions of many variables: Lagrange multipliers. Multidimensional Taylor series. Integrating scalar-valued functions of several variables: Jacobian transformations. Pointwise and uniform convergence. Power series.
Antirequisite(s): Calculus 2302A/B, Calculus 2502A/B.
Prerequisite(s): Calculus 1301A/B or Calculus 1501A/B or Applied Mathematics 1413, in each case with a minimum mark of 55%.