Undergraduate - UnitMTH2010 - Multivariable calculus

This unit entry is for students who completed this unit in 2013 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

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6 points, SCA Band 2, 0.125 EFTSL

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Level	Undergraduate
Faculty	Faculty of Science
Organisational Unit	School of Mathematical Sciences
Offered	Clayton First semester 2013 (Day) Clayton Second semester 2013 (Day)
Coordinator(s)	Semester One - Dr Simon Clarke (Clayton), Dr Andrew Percy (Gippsland); Semester Two - Associate Professor Steven Siems

Synopsis

Functions of several variables, partial derivatives, extreme values, Lagrange multipliers. Multiple integrals, line integrals, surface integrals. Vector differential calculus; grad, div and curl. Integral theorems of Gauss and Stokes. Use of a computer algebra package.

Outcomes

On completion of this unit students will be able to:

Understand and apply multivariable calculus to problems in the mathematical and physical sciences;

Find and classify the extrema of functions of several variables;

Compute Taylor series for functions of several variables;

Compute line, surface and volume integrals in Cartesian, cylindrical and spherical polar coordinates;

Apply the integral theorems of Green, Gauss and Stokes;

Use computer algebra packages to solve mathematical problems;

Present a mathematical argument in written form.

Assessment

Examination (3 hours): 60%
Projects: 40%

Chief examiner(s)

Dr Simon Clarke (Semester One)
Associate Professor Steven Siems (Semester Two)

Contact hours

Three 1-hour lectures and one 2-hour computer laboratory per week

Prerequisites

MTH1030, MTH1035, or MTH1085

Prohibitions

ENG2091, MAT2901, MAT2911, MTH2015