| Unit name | Calculus 2 |
|---|---|
| Unit code | MATH20900 |
| Credit points | 20 |
| Level of study | I/5 |
| Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
| Unit director | Professor. Robbins |
| Open unit status | Not open |
| Pre-requisites |
MATH11002 and MATH11003 |
| Co-requisites |
None |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
This unit extends elementary calculus in two ways: first to the calculus of several variables, and then to the case where the variable is a complex number. The emphasis will be on basic ideas and methods; theorems will be stated rigorously, and attention will be paid to the logical structure of the theory, but the style will be closer to first year calculus than to analysis. The first half develops multivariable calculus to the point where the major theorems can be given: the divergence theorem, and Green's and Stokes's theorems. This material is fundamental to physical applied mathematics; and it is also relevant to the second half of the course. The second half introduces the basic ideas of functions of a complex variable, including differentiation and integration in the complex plane. It includes techniques useful in applied mathematics as well as theoretical concepts.
