LECTURER: M Burton
This course builds on the single-variable calculus covered in Mathematics 1. It covers differential and integral calculus of functions of several variables and vector calculus. Its aim is to acquaint students with the theory, techniques and applications of the calculus of several variables and vector calculus. It is an essential course for students who plan to major in Mathematics, Applied Mathematics or in a related field.
Partial differentiation; directional derivatives and the gradient vector, maximum and minimum values, Lagrange multipliers. Multiple integrals; double and triple integrals in various coordinate systems; Vector calculus: vector fields, line integrals, fundamental theorem for line integrals, Green's theorem, curl and divergence, parametric surfaces and their areas, surface integrals, Stokes' theorem, the divergence theorem.
None prescribed. Complete course notes will be provided.
Recommended: James Stewart, Calculus (Early Transcendentals), 6th edition, Thomson.