Unit Code: MTH516

Unit Name: Solid Geometry and Multivariable Calculus

Description: The expansion from two to three (or more) dimensions requires a corresponding increase of the student's knowledge of symbolic representation. A new element, the vector, a symbol encompassing numbers, puts in its appearance. Students will learn how to work with vectors in modelling and solving problems in multidimensional space. Following this, the calculus of vectors and their description of curves and surfaces in space is considered. Differentiation of vectors is more fully developed, extending elementary notions of differentiation to those involving multiple variables. Integration is developed to encompass double integrals and triple integrals. Finally, line and surface integrals are considered. Students will learn, with Green's Theorem, how to transform a surface integral into a line integral and vice versa. Topics include analytic geometry in three-dimensional space, partial derivatives, multiple integrals, vector analysis and applications.

Learning Target Outcomes:

Prerequisite: N/A

Prerequisite Sentence: Pass Form 7 or Foundation Mathematics or equivalent

Credit Point: 15

Offered In: Semester 2