Mathematical methods I
Coordinator: Dr Roman Sandler
6 points * Three 1-hour lectures per week, one 1-hour tutorial * First/Second semester - Clayton * Second semester - Caulfield * Third (summer) semester * Prerequisites: At levels 3 and 4, VCE Mathematical Methods * Prohibitions: CSC1080, MAT1010, MAT1811, MAT1841, MAT1910, MAT1420, GAS1611, GAS1613
Objectives On the completion of this subject students will understand matrix algebra and its uses, especially in solving systems of linear equations and in finding eigenvalues and eigenvectors; calculate vector products, etc.; improve skills in dealing with functions and learn of new functions; extend the range of skills required to calculate derivatives and expand the scope of applications in differential calculus; comprehend the notion of integral as area, develop skills required to calculate integrals and use integrals in applications;use computer algebra packages to help solve problems in calculus and linear algebra.
Synopsis Vector algebra and geometry. Matrices and linear algebra. Elementary functions. Derivatives and applications. Integration, applications and techniques. Use of the computer algebra package DERIVE.
Assessment Examinations (2 hours): 70% * Assignments: 30%
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
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