Monash University Science handbook 1995

Copyright © Monash University 1995
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GAS2612

Functions of more than one variable

BS BN BB BT BM BR BI DT BC BP BDT

Mr Francis Benyah

3 points * First semester * 2 hours per week * Gippsland/Distance * Prerequisites: GAS1611 (and subject GAS1612 is desirable)

Continuity and differentiability of functions of more than one variable; Taylor's theorem for several variables and its consequences; extreme values; the method of Lagrange multipliers; multiple integrals; change of variable techniques; introduction to partial differential equations. For Gippsland students, one two-hour lecture/tutorial class each week for fourteen weeks. For distance students, five two-hour problem-solving and expository classes are held over the semester to supplement self-contained notes, tutorial exercises and assignments.

Assessment

Assignments: 40% * Examination: 60%

Prescribed texts

Adams R A Calculus of several variables Addison-Wesley, 1991

O'Neil P Advanced engineering maths Wadsworth, 1991

Recommended texts

Buck R C and Willcox A B Calculus of several variables

Marder L Calculus of several variables Allen and Unwin, 1972

Spiegel M Advanced calculus McGraw-Hill, 1974



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