ADVANCED CALCULUS

ADVANCED CALCULUS
Course Code
MA 2003
Credit Points
15
Course Coordinator
Prof. M Geek

Pre-requisites

MA 1002 or, with the permission of the Head of Mathematical Sciences, both MA 1004 and MA 1504. This course may not be included in a minimum curriculum with EG 2010.

Overview

The first part of the course reinforces and develops one-variable calculus covered in MA 1002 (or MA 1004 and MA 1504). Continuity, differentiability, the mean value theorem and Taylor’s theorem are discussed. The second part of the course is devoted to multi-variable calculus; it includes the following topics: partial differentiation, maxima and minima, chain rule, multiple integrals (including change of variable), volumes and polar co-ordinates. The course also includes an introduction to a computer algebra system.

Structure

12 week course - 5 lectures and 1 laboratory per fortnight and 1 tutorial per week.

Assessment

1st Attempt: 1 two-hour written examination (80%) and in-course assessment (20%).

Resit: 1 two hour written examination paper (maximum of 100% resit and 80% resit with 20% in-course assessment).