Mathematics I
Coordinator: Dr Alan Pryde
6 points * Three 1-hour lectures per week, one 1-hour tutorial * First/Second semester * Clayton * Prerequisites: VCE Specialist Mathematics and, at levels 3 and 4, Mathematical Methods * Prohibitions: MAT1910, MAT1050, MAT1420, MAT1811, MAT1841, CSC1080, GAS1611, GAS1613
Objectives On the completion of this subject students will be able to calculate limits; have some understanding of the notion of continuity; appreciate the value of general statements (theorems) in calculus; have improved and extended skills in calculating derivatives and expanded the range and depth of applications; understand what is involved in the idea of integral; have developed skills in calculating integrals and applying integration to compute area, length, volume etc; understand the basic properties of sequences and series and appreciate the role of series in estimation of functions; calculate Taylor series and appreciate the role of Taylor series in estimation of functions; apply tests to series to check whether they converge or not; be acquainted with computer algebra and its use in calculus.
Synopsis Limits and continuity. Derivatives and applications. Integration, applications and techniques. Sequences and series; Taylor series. An introduction to computer algebra using DERIVE.
Assessment Examination (2 hours): 85% * Assignments: 15%
Prescribed texts
Stewart J Calculus 3rd edn, Brooks-Cole, 1995 (packaged together with Heuvers K and others Linear algebra for calculus Brooks-Cole, 1991)
Recommended texts
Arianrhod R J and Norton P N An introduction to using the DERIVE package Monash University, 1995
| Published by Monash University, Clayton, Victoria
3168 Copyright © Monash University 1996 - All Rights Reserved - Caution Authorised by the Academic Registrar December 1996 |