MATH235 - Mathematics IIA
The idea of a vector space first introduced in MATH136 and MATH133 is now enriched by the introduction of an inner product. This leads to the important notion of orthogonality which underpins many areas of mathematics. The idea of linear transformations which transfer linearity from one space to another is also discussed. The results and techniques are then applied to problems such as approximation, quadratic forms and Fourier series.
Differential and integral calculus involving functions of several real variables are discussed in greater depth than in MATH136 and MATH133. The ideas here are central to the development of mathematics in many different directions.
Prerequisites: MATH133(P) or MATH136(P).
Corequisites: None.
Not Counted for Credit With: None.