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 Several Variable Calculus - MATH2011
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Campus: Kensington Campus
 
 
Career: Undergraduate
 
 
Units of Credit: 6
 
 
Contact Hours per Week: 5
 
 
Enrolment Requirements:
 
 
Prerequisite: MATH1231 or MATH1241 or MATH1251; Excluded: MATH2019, MATH2039, MATH2049, MATH2100, MATH2110, MATH2111, MATH2510, MATH2610.
 
 
Offered: 
Semester 1 2005
Semester 2 2005
 
 
Fee Band: 2
 
  

Description

Functions of several variables, limits and continuity, differentiability, gradients, surfaces, maxima and minima, Taylor series, Lagrange multipliers, chain rules, inverse function theorem, Jacobian derivatives, double and triple integrals, iterated integrals, Riemann sums, cylindrical and spherical coordinates, change of variables, centre of mass, curves in space, line integrals, parametrised surfaces, surface integrals, del, divergence and curl, Stokes' theorem, Green's theorem in the plane, applications to fluid dynamics and electrodynamics, orthogonal curvilinear coordinates, arc length and volume elements, gradient, divergence and curl in curvilinear coordinates.

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