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Module Specifications

Archived Version 2007 - 2008

Module Title Calculus of Several Variables
Module Code MS221
School School of Mathematical Sciences

Online Module Resources

Module Co-ordinatorDr Michael ClancyOffice NumberX138B
Level 2 Credit Rating 5
Pre-requisite None
Co-requisite None
Module Aims
To provide students with a knowledge of various mathematical methods used in science and engineering courses. The teach students to be proficient in using these solution methods.

Learning Outcomes
On completion of this module, students will be able to deal confidently with functions of several variables.

Indicative Time Allowances
Hours
Lectures 36
Tutorials 12
Laboratories 0
Seminars 0
Independent Learning Time 27

Total 75
Placements
Assignments
NOTE
Assume that a 5 credit module load represents approximately 75 hours' work, which includes all teaching, in-course assignments, laboratory work or other specialised training and an estimated private learning time associated with the module.

Indicative Syllabus
· Differentiation: Limits, continuity, partial differentiation, chain rule, gradient, divergence, curl.· Integration: Line integrals, surface integrals, volume integrals, integral theorems. Change of variable formula.· Maxima and minima: Critical points, lagrange multiplier, Taylor''s formula.
Assessment
Continuous Assessment30% Examination Weight70%
Indicative Reading List
Finney Thomas, Calculus, Addison Wesley, 1994.
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